The Sun converts 6 × 1011kg of hydrogen into helium every second. Only 99.3% (= 0.993) of that goes into helium; the rest, 00.7%, goes into the energy that causes the Sun to shine. So, over the next 5 billion years (= 1.6 × 1017seconds). Calculate the amount of hydrogen that will be converted into helium.​

Answers

Answer 1
Amount of hydrogen converted into helium = (rate of conversion) x (time)

Where the rate of conversion is the amount of hydrogen converted into helium per second, and the time is the duration over which the conversion takes place.

The rate of conversion is given as 6 × 10^11 kg per second, but only 99.3% of that goes into helium. So the actual rate of conversion into helium is:

6 × 10^11 kg/s x 0.993 = 5.958 × 10^11 kg/s

Now, we can calculate the amount of hydrogen that will be converted into helium over the next 5 billion years:

Amount of hydrogen converted into helium = 5.958 × 10^11 kg/s x 1.6 × 10^17 s

Amount of hydrogen converted into helium = 9.5328 × 10^28 kg

Therefore, over the next 5 billion years, about 9.5328 × 10^28 kg of hydrogen will be converted into helium.

Related Questions

Which of the following is the best estimate of the mass of all humans living on Earth?​

Answers

he best estimate of the mass of all humans living on Earth is (d) 3 3 1011 kg

What is the estimate of the mass of all humans living on Earth?

The best estimate of the mass of all humans living on Earth can be calculated by multiplying the estimated number of humans by the average mass of a human being.

According to the United Nations, the world population as of mid-2022 was around 7.92 billion. The average mass of an adult human being is approximately 62 kilograms (136.7 pounds).

Therefore, the estimated mass of all humans living on Earth is:

7.92 billion (humans) x 62 kg (average mass per human) = 4.9104 x 10^11 kg

Out of the given options, the closest estimate is (d) 3 3 10^11 kg.

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(a) 2 3 108 kg (b) 1 3 109 kg (c) 2 3 1010 kg (d) 3 3 1011 kg (e) 4 3 1012  kg​

A horizontal pipeline has a pitot tube installedif the difference in in head measured by the pitot tube is recorded as 8mm, calculate the velocity of flowtake c=09​

Answers

A pitot tube is put on a horizontal pipeline.Calculate the flowtake velocity if the pitot tube's measurement of the difference in head shows an 8mm difference.

Does speed refer to velocity?

It's easy to understand why. Velocity is the pace and direction for an object's movement, whereas speed is the moment rate when an object is travelling along a path.

How is speed determined?

The vector quantity velocity (v), denoted by the formula v = s/t, quantifies motion (or shift in position, s), over change in time (t). Velocity (or rate, r) is the scalar number that represents the equation r = d/t by measuring the distance travelled (d) over a period in time (t).

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Tina has suffered several broken bones and stress fractures because her
bones have become brittle. These are signs and symptoms of which of the
following?
OA. Osteoporosis
OB. Obesity
OC. Bulimia
OD. Anorexia nervosa

Answers

Answer:   D

Explanation:

The given symptoms are that of osteoporosis. So, option A.

What is meant by osteoporosis ?

Osteoporosis is a bone disease that appears when bone mass and mineral density decline or when the composition and strength of bone alter.

Tiny fissures in a bone are known as stress fractures. They result from overuse and repetitive force, such as repeatedly jumping up and down or running vast distances.

Stress fractures may also occur as a result of regular use of a bone that has been weakened by an illness like osteoporosis.

As a result of osteoporosis, the strength of the bones may decline, raising the risk of fractures (broken bones).

Early bone loss usually has no symptoms. However, after osteoporosis has compromised your bones, you might experience the following signs and symptoms:

Back pain brought on by a shattered or collapsing vertebra.

A hunched over position

A bone that fractures significantly more easily than anticipated.

Hence, option A.

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In the figure, two blocks, of masses 2.00 kg and 3.00 kg, are connected by a light string that passes over a frictionless pulley of moment of inertia 0.00400 kg · m2 and radius 4.3 cm. The coefficient of friction for the tabletop is 0.4. The blocks are released from rest. Using energy methods, find the speed of the upper block just as it has moved 0.600 m.

Answers

The speed of the upper block just as it has moved 0.600 m is 1.42 m/s.

How to explain the speed

The pulley is frictionless so even if the string passes over it, it will not rotate.

In this case, two blocks, of masses 2.00 kg and 3.00 kg, are connected by a light string that passes over a frictionless pulley of moment of inertia 0.00400 kg ·

In conclusion, the speed of the upper block just as it has moved 0.600 m is 1.42 m/s. This was calculate thus:

= 1/2(5)v² + 1/2(0.004/0.05)²v² = mgh

= (3.2)v² = (2 - 3 × 0.3) × 5.8 × 0.6

v = 1.42

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If the boat in the preceding example travels with the same speed of 20 km h¹¹ relative to the water and is to travel due north, in what direction should it travel?​

Answers

In the preceding example, we found that the boat needs to travel in a direction of 11.3 degrees west of north relative to the Earth to move directly across the river.

If the boat is now to travel due north relative to the Earth, we need to find the direction it should travel relative to the water, taking into account the effect of the river's velocity.

Since the boat is traveling with a speed of 20 km/h relative to the water, and the water is flowing with a velocity of 8 km/h in a direction of 60 degrees south of east, we can use vector addition to find the boat's resultant velocity relative to the Earth.

Let's define the x-axis as east and the y-axis as north. The velocity of the water is then:

Vw = 8 km/h at an angle of 240 degrees (60 degrees south of east)

We can convert this to vector form:

Vw = (-4 km/h, -6.93 km/h)

The velocity of the boat relative to the water is:

Vb = 20 km/h at an angle of 0 degrees (due north)

We can convert this to vector form:

Vb = (0 km/h, 20 km/h)

To find the resultant velocity, we can add these two vectors:

Vr = Vb + Vw

Vr = (0 km/h - 4 km/h, 20 km/h - 6.93 km/h)

Vr = (-4 km/h, 13.07 km/h)

The direction of this vector is given by:

tan θ = (13.07 km/h) / (-4 km/h)

θ = -73.74 degrees

Since we defined the x-axis as east, the direction of the boat's velocity relative to the water is 73.74 degrees east of north.

To find the direction the boat should travel relative to the water to move due north, we need to subtract this angle from 90 degrees:

90 degrees - 73.74 degrees = 16.26 degrees

Therefore, the boat should travel in a direction of 16.26 degrees west of north relative to the water to move due north relative to the Earth.

A wave of a particular object has a speed 960 M/S and has a frequency of 8,000 Hz.What is the wavelength of the wave for that object?

Answers

Answer:

0.12 m (12 cm)

Explanation:

v = 960 m/s

f = 8000 Hz

λ = ?

λ = v/f = 960 m/s / 8000 Hz = 0.12 m = 12 cm

A wave of a particular object has a frequency of 260 Hz and a wavelength of 2.5 M. What speed does the wave have, to the nearest meter per
second?

Answers

Answer:

650 m/s

Explanation:

f = v/λ

v = fλ = (260 Hz)(2.5 m) = 650 m/s

A 20 kg box is pushed up a rough sloping ramp (30° relative to the inclined) with a force of 300 N, parallel to the horizontal with constant speed. Calculate the normal force of the block​

Answers

The normal force on the block is 319.74 N.

Mass of the box, m = 20 kg

Angle of inclined plane, θ = 30°

Applied force, F = 300 N

From the figure,

Resolving the components of applied force, F, we get the horizontal force as F cosθ and vertical force as Fsinθ.

From the diagram, the normal force on the block can be calculated as the sum of the vertical component of F and horizontal component of mg.

So, Normal force,

N = mg cosθ + Fsinθ

N = 20 x 9.8(cos30) + 300 sin30

N = 319.74 N

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Attaching the image file here.

You are trying to figure out how fast your BB gun can shoot. So you set up a block-spring system. By firing the BB into the block, the spring gets compressed. Specifics: Mass of {BB}=8 grams, mass of block =4.0 kg, spring compression = 3.7 cm, spring constant =2500N / m Calculate the speed of the BB.
(1) 440 m/s
(2) 520 m/s
(3) 500 m/s
(4) 460 m/s

Answers

According to the question the velocity of the BB is 520 m/s.

What is velocity?

Velocity is a vector that measures the rate of change of an object's position in a particular direction. It is usually expressed in meters per second (m/s). Velocity is a combination of both speed and direction, and can be measured relative to other objects or the environment. Velocity is a measure of how fast an object is moving and in what direction, but it can also include the rate of change of other parameters such as force, pressure, acceleration, or angular momentum.

Using the equation F = kx (where F is force, k is spring constant, and x is the displacement of the spring), we can calculate the force of the BB hitting the block.
F = 2500N/m x 0.037m = 92.5N
Then, using the equation F = ma (where F is force, m is mass, and a is acceleration), we can calculate the acceleration of the BB hitting the block. a = F/m = 92.5N/0.008kg = 11,562 m/s²
Finally, using the equation v₂ = u₂ + 2as (where v is final velocity, u is initial velocity, a is acceleration, and s is displacement), we can calculate the velocity of the BB.
v₂ = 0 + (2 x 11,562 m/s2 x 0.037m) = 520 m/s.

Therefore, the correct option is B.
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a system of levers with v.r of 25 overcomes a resistant force of 3300n. when an effort of 165n is applied to it. i) calculate m.a of the system ii) its efficiency

Answers

i) Mechanical advantage of the system is 25.   ii) Efficiency of the system is 20%.

What is efficiency?

Efficiency is a measure of how much of the input energy or work is converted into useful output energy or work

Given : V.R. (Velocity Ratio) = 25, Resistant force = 3300 N, Effort force = 165 N

i) Mechanical Advantage (M.A.) can be calculated using the formula: M.A. = V.R. = 25

Therefore, the mechanical advantage of the system is 25.

ii) Efficiency can be calculated using the formula: Efficiency = (Output work / Input work) x 100%

Output work = Resistance x Distance moved by resistance

As Input work =Effort x Distance moved by effort

Effort x Distance moved by effort = Resistance x Distance moved by resistance

165 N x distance = 3300 N x distance/25

distance = (25 x 165 N) / 3300 N

distance = 1.25 m

Output work = Resistance x Distance moved by resistance

= 3300 N x 1.25 m

Output work = 4125 J

As Input work= Effort x Distance moved by effort

= 165 N x 1.25 m

Input work = 206.25 J

Efficiency = (Output work / Input work) x 100%

= (4125 J / 206.25 J) x 100%

Efficiency = 20%

Therefore, efficiency of the system is 20%.

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Ashley is a perfectionist, and even though she is underweight she doesn't
think she is thin enough yet. Ashley displays symptoms of which of the
following?
OA. Osteoporosis
OB. Amenorrhea
OC. Bulimia
OD. Anorexia nervosa

Answers

Answer:

D

Explanation:

A. Osteoporosis: Osteoporosis is a condition characterized by decreased bone density and increased risk of fractures, which can be caused by a variety of factors such as aging, hormonal changes, and nutrient deficiencies. While anorexia nervosa may increase the risk of developing osteoporosis, the presence of osteoporosis alone is not indicative of an eating disorder.

B. Amenorrhea: Amenorrhea is the absence of menstrual periods and can be caused by a variety of factors such as pregnancy, hormonal imbalances, and certain medical conditions. While amenorrhea can be a symptom of an eating disorder such as anorexia nervosa or bulimia, the presence of amenorrhea alone is not indicative of an eating disorder.

C. Bulimia: Bulimia is an eating disorder characterized by episodes of binge eating followed by purging behaviors such as vomiting or using laxatives. While Ashley may be dissatisfied with her weight and body image, there is no indication in the prompt that she engages in binge eating and purging behaviors, which are the hallmark symptoms of bulimia.

D. Anorexia nervosa: Anorexia nervosa is an eating disorder characterized by a persistent restriction of food intake and an intense fear of gaining weight or becoming fat, even when underweight. Ashley's preoccupation with her weight and desire to be thinner, despite being underweight, are consistent with the diagnostic criteria for anorexia nervosa. Therefore, the correct answer is OD.

The symptoms shown by Ashley is due to anorexia nervosa.

What is meant by anorexia nervosa ?

Anorexia nervosa is an eating disorder marked by an abnormally low body weight, a strong fear of gaining weight, and a skewed sense of weight.

Here,

A persistent limitation in food consumption and a strong fear of gaining weight or getting fat, even while underweight, are the hallmarks of anorexia nervosa, an eating disorder.

The symptoms shown by Ashley is due to anorexia nervosa.

Food isn't really a factor in anorexia. To attempt to deal with emotional issues in this way is exceedingly unhealthy and occasionally fatal. When you have anorexia, you frequently confuse being thin with being valuable.

Like other eating disorders, anorexia may control your life and be very challenging to recover from. But with treatment, you can rediscover your identity, adopt healthier eating practices, and undo some of anorexia's severe side effects.

Hence, option D.

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How much pressure does a box whose sides are 1.59 m long each exert on the ground due to gravity?Assume that the box has a mass of 68.2 kg. HINT: Look at the definition of pressure - what force is doing the "pushing?" What's the area?

Answers

The pressure that the box exerts on the ground due to gravity is approximately 264.63 Pa.

What is pressure?

Pressure is the amount of force per unit area. The pressure that the box exerts on the ground due to gravity is the amount of force per unit area that the box applies to the surface it is resting on. It is calculated by dividing the weight of the box by the area of the surface in contact with the box.

To find the pressure that the box exerts on the ground due to gravity, we need to first find the force of gravity acting on the box, and then divide it by the area of the box in contact with the ground.

The force of gravity acting on the box can be found using the formula:

F = m * g

where F is the force of gravity, m is the mass of the box, and g is the acceleration due to gravity, which is approximately 9.81 m/s^2.

Substituting the given values, we get:

F = 68.2 kg * 9.81 m/s^2 = 669.042 N

The area of the box in contact with the ground can be found by multiplying the length and width of the box. Since all sides of the box are 1.59 m, we have:

A = length * width = 1.59 m * 1.59 m = 2.5281 m^2

Now we can find the pressure using the formula:

P = F/A

Substituting the values we found earlier, we get:

P = 669.042 N / 2.5281 m^2 = 264.63 Pa

Therefore, the pressure that the box exerts on the ground due to gravity is approximately 264.63 Pa.

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a) a drone flies 150 m to southwest (directly between south and west), then flies 85 m directly south, and finally flies 550 m in the direction 35 degrees north of east. Use the analytical method to find the resultant displacement of the drone (magnitude and direction)

you can help with a​

Answers

The resultant of the displacement is 336.5m

What is resolution of vectors?

The process of splitting a vector into its components is called resolution of the vector. The vectors are splitted into vertical and horizontal component.

For the first displacement;

The vertical component = - 150 sin45 = -106.1 m

The horizontal component = - 150 cos 45° = -106.1 m

For the second displacement;

The vertical displacement = - 85sin90 = -85

The horizontal component = 0

For the third displacement;

The vertical displacement = 550 sin55 = 450.5

The horizontal displacement = 550 cos 55 = 315.5

Sum of vertical component = 450.5-85-106.1 = 263.4

sum of horizontal component = 315.5 -106.1 = 209.4

Using Pythagorean theorem

R = √ 263.4² + 209.4²

R = √113227.92

R = 336.5m

The resultant angle = tan^-1( 263.4/209.4)

= tan^-1(1.26)

= 51.56°

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derive the expression for Kepler's second law​

Answers

To derive the expression for Kepler's second law, we can start with the conservation of angular momentum, which states that the product of the moment of inertia and the angular velocity of a planet around the sun remains constant.

Mathematically, we can express this as:

r^2 * θ' = h

where r is the distance from the sun to the planet, θ is the angle between the planet's position and a reference direction, θ' is the rate of change of θ with respect to time, and h is a constant known as the specific angular momentum.

If we divide both sides of this equation by 2, we get:

r^2 * θ' / 2 = h / 2

which tells us that the area swept out by the planet in time t is:

A = 1/2 * r^2 * θ

If we differentiate this expression with respect to time, we get:

dA/dt = 1/2 * r^2 * θ'

But since r^2 * θ' is equal to h, we can rewrite this as:

dA/dt = h/2

which tells us that the rate at which the planet sweeps out area is constant. In other words, the planet moves faster when it is closer to the sun and slower when it is farther away, but it always sweeps out equal areas in equal times.

This is the expression for Kepler's second law.

Which of the following best determines the amount of energy of a single photon of light? The speed of the photon The frequency of the photon The material the photon moves through The time it takes the photon to reach a destination

Answers

The amount of energy of a single photon of light is determined by its frequency.

What is Planck-Einstein relation?

The Planck-Einstein relation is a fundamental equation that describes the relationship between the energy (E) of a single photon of light and its frequency (f). The relation is given by the formula:

[tex]E = hf[/tex]

where h is Planck's constant, a physical constant with a value of approximately [tex]6.626 x 10^-34 joule seconds (Js)[/tex]. This equation suggests that the energy of a photon is directly proportional to its frequency. In other words, photons with higher frequencies (such as those in the ultraviolet or x-ray parts of the electromagnetic spectrum) have more energy than those with lower frequencies [tex]6.626 x 10^-34 joule seconds (Js)[/tex] (such as those in the infrared or radio parts of the spectrum).

The speed of the photon and the material it moves through can affect its wavelength and therefore its frequency, but they do not directly determine its energy. The time it takes the photon to reach a destination is not directly related to its energy either.

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Life Insurance Essav
Explain each type of life insurance
(whole and term). Which one would you
prefer? Then identify/define
BENEFICIARY. Who would you designate
as your beneficiary(s) and why. What
would you want them to do with the
insurance money? ($500k policy) (5
paragraphs)
*Explain the percentage breakdowns if
there are multiple beneficiaries.

Answers

Life insurance is a contract between an individual and an insurance company, in which the individual pays premiums, and the insurer provides financial support to the designated beneficiaries upon the policyholder's death. There are two primary types of life insurance: whole and term. Whole life insurance provides coverage for the entirety of a person's life, while term life insurance covers a set period. The primary difference between the two is that whole life insurance offers a death benefit as well as a cash value component, while term life insurance offers only a death benefit.

Whole life insurance is a type of permanent life insurance, which means it remains active for the policyholder's entire life as long as they continue to pay premiums. Whole life insurance has a cash value component that earns interest over time, and policyholders can borrow against this value or use it to pay premiums. The premiums for whole life insurance are generally higher than term life insurance, as the policy covers the policyholder's entire life.

Term life insurance is a type of life insurance that provides coverage for a set period, typically between 10-30 years. The premiums for term life insurance are generally lower than whole life insurance because the policy is in effect for a limited time. There is no cash value component to term life insurance, and the death benefit is paid to the beneficiaries only if the policyholder dies during the term.

Personally, I would prefer term life insurance because it is less expensive than whole life insurance and provides sufficient coverage for the period I want to insure. I am also not interested in the cash value component of whole life insurance, as I would prefer to invest my money in other ways.

A beneficiary is the person or entity designated to receive the death benefit from a life insurance policy. A beneficiary can be an individual or an organization, such as a charity. If there are multiple beneficiaries, the policyholder can choose the percentage of the death benefit each beneficiary will receive. It is essential to keep beneficiaries up-to-date and ensure that the policy's beneficiaries are the individuals who will receive the death benefit as intended.

In my case, I would designate my spouse as my primary beneficiary because they are my closest loved one and would need the financial support the most if I were to pass away. Additionally, I would designate my children as secondary beneficiaries because I want them to have financial support for their future education and other needs. I would want my beneficiaries to use the insurance money to pay off any outstanding debts and invest the remaining money for their long-term financial stability.

In conclusion, whole and term life insurance are two primary types of life insurance policies. Whole life insurance is a permanent policy with a cash value component, while term life insurance is in effect for a limited period with no cash value component. I would prefer term life insurance due to its affordability and the fact that it provides sufficient coverage for the period I want to insure. A beneficiary is the individual or entity designated to receive the death benefit from a life insurance policy, and it is crucial to keep beneficiaries up-to-date. I would designate my spouse and children as my beneficiaries and would want the insurance money to be used for paying off debts and investing in their long-term financial stability.

When 4 year old Curtis calls all objects with 4 wheels and a metal body a truck, he is demonstrating Piaget's concept of _____________. However when Curtis modified his schema of cars to recognize the difference between cars and trucks, he is demonstrating Piaget's concept of_______________.

Answers

When 4 year old Curtis calls all objects with 4 wheels and a metal body a truck, he is demonstrating Piaget's concept of  assimilation. However when Curtis modified his schema of cars to recognize the difference between cars and trucks, he is demonstrating Piaget's concept of accommodation.

What is assimilation?

Assimilation refers to the process by which an individual or group adopts the cultural, social, or linguistic norms and practices of another group. This can happen voluntarily or involuntarily, and may involve changes to one's behaviors, beliefs, values, or language in order to fit in with the dominant culture.

Assimilation can occur in many different contexts, such as immigration, colonialism, or cultural exchange. In some cases, assimilation may be seen as a positive way for individuals to integrate into a new society and feel a sense of belonging. However, in other cases, assimilation may be seen as a negative process that erases the unique cultural identities and practices of minority groups.

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Wire A X is fold back at p such that /AP/= 40cm and its parallel with px which is 60cm long to form parallel combination. Calculate the effective resistance of the parallel combination if the resistance per unit length of the material of tge wire

Answers

Answer: To find the total resistance of the wires, we need to use a formula that takes into account the length and cross-sectional area of the wires and the resistivity of the material they are made of. By plugging in the appropriate values for the length, cross-sectional area, and resistivity of the wires in the formula, we can find the individual resistances of the wires. Then, by using another formula for the total resistance of a parallel combination, we can find the effective resistance of the wires in parallel.

Explanation:R = ρ * (L / A)

where R is the resistance of the wire, ρ is the material's resistivity (resistance per unit length), L is the length of the wire, and A is the cross-sectional area of the wire.
according to the given data
AP= 40 cm
px=60cm

Next, we need to calculate the wire PX's length and cross-sectional area. The length is given as 60 cm, and we can assume the same diameter of 1 mm, giving a cross-sectional area of 0.785 mm^2.

Now we can calculate the resistance of each wire using the formula above:

R_AX = ρ * (80 cm / 0.785 mm^2) = 101.91 * ρ

R_PX = ρ * (60 cm / 0.785 mm^2) = 76.43 * ρ

The total resistance of the parallel combination is given by the formula:

1/R_total = 1/R_AX + 1/R_PX

Substituting the values of R_AX and R_PX, we get:

1/R_total = 1/(101.91 * ρ) + 1/(76.43 * ρ)

1/R_total = (1.55 / ρ)

R_total = ρ / 1.55

therefore, the effective resistance of the parallel combination is (ρ / 1.55) ohms

Many television signals are transmitted through electromagnetic
waves with frequencies from 3.0 x10^7 Hz to 3.0 x 10⁹ Hz. What is the longest wavelength associated
with this frequency range?

Answers

The longest wavelength associated with this frequency range is 10 meters.

What is wavelength ?

Wavelength is a measure of the distance between two consecutive crests or troughs of a wave. It is an important physical quantity that describes the size of a wave. It is typically measured in meters, as it is a measure of physical space. Wavelength is used to describe many types of waves, such as sound waves, light waves, water waves and radio waves. In addition, wavelength is an important factor in determining the frequency of a wave, which is the number of wave cycles per second. Wavelength is inversely related to frequency, meaning that as the wavelength increases, the frequency decreases. Wavelength is also used to describe the different colors of visible light, as each color has a different wavelength.

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four pairs of conducting spheres,all with the same radius,are shown in figure 7,along with the net charge placed on them initially. The spheres in each pair are now brought into contact, allowing charge to transfer between them. Rank the pairs of spheres in order of increasing magnitude of the charge transferred. indicate ties where appropriate

Answers

The whole charge of the two touching spheres disperses across their entire surface, as if they had transformed into one single large conductor.

What does physical force magnitude mean?

The numerical measure of a force's power is called its magnitude. For instance, let's say the force is 10 N in the direction of the east. "towards east" denotes direction, while "10" denotes the force's magnitude. Magnitude is, in essence, the "value" or "amount" of any numeric value.

A magnitude example is what?

The size of a quantity is measured in magnitudes. For instance, the Richter scale's measurement of an earthquake's magnitude, which identifies the earthquake's size, typically ranges from 1 to 10.

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heeeeeeeelp T-T please

Answers

I think it’s -19.86

if 0.2J of work is done in raising a 180 g apple how far is it lifted

Answers

The height of the apple is 0.113 m.

What is height?

Height is the vertical distance between two points.

To find how far the apple was lifted, we use the formula below

Formula:

h = W/mg...................... Equation 1

Where:

h = How far the apple was liftedW = Work done to lift the applem = Mass of the appleg = Acceleration due to gravity

From the question,

Given:

W = 0.2 Jm = 180 g = 0.18 kgg = 9.8 m/s²

Substitute these values into equation 1

h = 0.2/(0.18×9.8)h = 0.113 m

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Given that each m³ of mercury weighs1.36 x 10^5 N and each m³ of water weight 1.00 x 10^4 N,
a. determine the pressure at the bottom of a column 0.76 m tall if there is a vacuum above the
mercury.
b. determine the height of a column of water that would yield the same pressure at the bottom,
assuming that a vacuum could again be maintained at the top of the column

Answers

A column of water that is 10.2 m tall would yield same pressure at the bottom as a column of mercury that is 0.76 m tall, assuming that vacuum could be maintained at the top of water column.

What is pressure in chemistry?

In chemistry, pressure refers to the amount of force exerted per unit area by a gas, liquid or solid on surface.

a. The pressure at the bottom of a column of mercury that is 0.76 m tall is given by:

pressure = density x gravity x height

So, pressure at the bottom of column of mercury is:

pressure = (1.36 x 10⁵ N/m³) x (9.81 m/s²) x (0.76 m)

= 9.98 x 10⁵ N/m²

b. pressure = density x gravity x height

height = pressure / (density x gravity)

height = (9.98 x 10⁵ N/m²) / (1.00 x 10⁴ N/m³ x 9.81 m/s²)

= 10.2 m

So, column of water that is 10.2 m tall would yield same pressure at the bottom as column of mercury that is 0.76 m tall, assuming that vacuum could be maintained at the top of water column.

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Your paragraph should answer the following questions:
Reflect on your data/records from Step 1. Consider both of the times of day you recorded
the Sun's location. Which of those times do you think the angle of incidence of sunlight
would provide the highest concentration of solar energy in your location? Explain your
answer.
Again, reflect on the times of day that you recorded the Sun's location. When the Sun is
hovering over the Tropic of Cancer, how might you expect your observations to change?
What about if the Sun was hovering over the Tropic of Capricorn? Why?
• Did parallax play a role in your observations? Explain.
• What were your reflections about your moon measurements? What did you notice about
the changes you observed both in the daytime and nighttime measurements?
• How did the experience with moon measurements (and the associated readings) help you
understand new vocabulary and concepts important to the sun measurements?

Answers

I think the highest concentration of solar energy would occur when the Sun is directly overhead, as the angle of incidence is at its highest.

What is concentration?

Concentration is the ability to focus on a certain task or activity, while blocking out distractions or other competing activities. It is an important skill to possess in order to be successful in both academic and professional settings. Concentration involves the ability to pay attention to a specific task or activity, while still being able to remember the details and information associated with it.

I think the highest concentration of solar energy would occur when the Sun is directly overhead, as the angle of incidence is at its highest. When the Sun is hovering over the Tropic of Cancer, the angle of incidence would be lower as the Sun is further from the zenith. Similarly, when the Sun is hovering over the Tropic of Capricorn, the angle of incidence would be even lower as the Sun is further from the zenith. Parallax did play a role in my observations as it affected the angle of the Sun's position relative to my location. When making my moon measurements, I noticed that the readings changed depending on the time of day and the phase of the moon. This experience helped me to understand the concepts of azimuth and altitude, as well as how they relate to the angle of incidence of sunlight.

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A 3.63 kg Doepke Toys 1952 Jaguar XK 120 race toy car is pushed by a person along a track so that it is moving at 0.65 m/s. It hits a spring (k = 700 N/m) at the end of the track, causing it to compress. Determine how far did the spring compress to bring the toy car to a stop.

Answers

According  to the question the spring compressed 7.3 cm to bring the toy car to a stop.

What is spring?

Spring is a season of renewal and rebirth. It is the period of time between winter and summer when days become warmer, plants and flowers begin to bloom, and the earth comes alive with new life. During spring, animals come out of hibernation, birds return from their winter migration and the sun stays in the sky for longer periods of time. Spring is a time of transformation and growth, when the earth is filled with color and beauty. It is a time for us to enjoy the outdoors, appreciate nature and appreciate the beauty of the world around us. Spring is a time to start anew, begin fresh projects and enjoy the beauty of the world.

The distance the spring compresses to bring the toy car to a stop can be calculated using the equation: x = (1/2k)mv^2, where x is the distance the spring compresses, k is the spring constant, m is the mass of the toy car, and v is the initial velocity. Substituting the given values, we get:

x = (1/2(700 N/m))(3.63 kg)(0.65 m/s)^2 = 7.3 cm

Therefore, the spring compressed 7.3 cm to bring the toy car to a stop.

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when lucy jumped from the paddleboard into the water, the paddleboard floated backwards as her body move forward. which law of motion is this?

Answers

The third law of Newton's theory of motion states that there is a contrary response to every action. Anytime forceone body puts pressure on another, the second body puts equal and opposing pressure on the first.

In science, what exactly is a force?

It is quite acceptable to refer to a force of this level as a push and a pull. Force is not a property that an object 'has in it' or that it 'contains. One thing is subject to a force from another. There is no distinction between living and non-living things in the concept of a force.

Force and example are what?

Simply put, force is the push / pull motion. Both touch and non-forces are different types of force. Forces like nuclear effect, the force of gravity, frictional force, magnetism force, electric force, and spring force are a few examples.

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Examine the circuit in the figure. What is the equivalent resistance of the entire circuit?

Answers

Comparable opposition of the circuit refers to the total electric resistance that a circuit encounters as a  equivalent resistance result of every one of its resistors cooperating against its voltage source.

The equivalent resistance of the circuit is what?

Equivalent Resistance is the total electrical resistance that all of the resistors in a circuit produce when they are all running against the same voltage source.

Why is the resistance equal?

It is referred to as the equivalent resistance when the entire resist connected in either parallel or series connection is known. Basically, the circuit can be constructed in parallel or series. How much power is needed to carry current or charges through your devices is shown by electrical resistance.

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Identify whether the Sun is to the north, south, east, or west of Jason, using the compass rose in the picture. Support your answer with evidence from the picture.

Answers

The sun is in the South East

How to get the directioon of the sun using shadow cast

The course of the sun can be easily identified by tracing the direction of an object's shadow on the ground. Adopt the following steps to get started:

Obtain a solid and upright structure that is tall enough to draw visible shadows on the earth below, such as a post or stick.

Put the object in place firmly and straightly onto a steady surface, be it ground level or atop a leveled rooftop, where it can cast a clear silhouette.

Create a physical trace of the tip of the shadow with a small stone or piece of chalk.

Wait 10-15 minutes until the figure has moved considerably. Gauge the new direction of the shadow through the shifting motion.

Mark the changed tip of the shade point with another little rock or chalk.

Draw a linear connection between the two demarcations. This line will guide you in a true east-west route.

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how long does it take energy to pass through the radiative zone

8 minutes A

100,000 years B

10,000 years C

100 years D

Answers

Time it takes energy to pass through radiative zone is :  A) 8 minutes

How long does it take energy to pass through radiative zone?

Energy generated in the core of the Sun takes about 8 minutes to pass through radiative zone and reach the top of convective zone. The radiative zone is a layer of the Sun that lies just outside the core and it is characterized by high density and high temperature.

In this zone, energy is transported by photons that bounce around between atoms and ions that make up the plasma of the Sun. This process is known as radiative diffusion and is relatively slow compared to convective transport of energy that takes place in the outer layers of Sun.

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a) A drone flies 150 m to southwest (directly between south and west), then flies 85 m directly
south, and finally flies 550 m in the direction 35° north of east. Use the analytical method to
find the resultant displacement of the drone (magnitude and direction)

b) A motorcycle moving at 75 mph starts to slow down at a constant rate of 0.25 m/s2 for 15
seconds. Find its final velocity (in both m/s and mph) and the total distance (in meters) that
it traveled during this 15 s timeframe.

Answers

The magnitude of the resultant displacement of the drone is 476.6 m, and the direction is 46.7° north of east.

The final velocity of the motorcycle is 29.125 m/s (or 65.1 mph), and it traveled a total distance of 498.125 m during the 15 s timeframe.

How to solve for final velocity

A. x = 550cos(35°) = 451.92 m

y = 550sin(35°) = 316.23 m

Now we can add the x components and y components separately:

x_total = -106.07 + 0 + 451.92 = 345.85 m

y_total = 106.07 - 85 + 316.23 = 337.3 m

qrt((345.85)^2 + (337.3)^2) = 476.6 m

tan^-1(337.3 / 345.85) = 46.7°

Therefore, the magnitude of the resultant displacement of the drone is 476.6 m, and the direction is 46.7° north of east.

2, v_f = v_i + a*t

v_f is the final velocity, v_i is the initial velocity (75 mph = 33.5 m/s), a is the acceleration (-0.25 m/s^2), and t is the time (15 s).

Plugging in the values, we get:

v_f = 33.5 - 0.25*15 = 29.125 m/s

To convert the final velocity to mph, we can multiply by the conversion factor:

v_f = 29.125 * 2.23694 = 65.1 mph

To find the total distance traveled, we can use the kinematic equation:

d = v_it + 0.5a*t^2

Plugging in the values, we get:

d = 33.515 + 0.5(-0.25)*(15)^2 = 498.125 m

Therefore, the final velocity of the motorcycle is 29.125 m/s (or 65.1 mph), and it traveled a total distance of 498.125 m during the 15 s timeframe.

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