The force F, acting in a constant direction on the 20-kg block, has a magnitude which varies with positions of the block. Determine the speed of the block after it slides 3 m. When s=0 the block is moving to the right at 2 m/s. The coefficient of kinetic friction between the block and surface is Mk = 0. 3

Answers

Answer 1

The speed of the block after it slides 3 m is determined as -15.64 m/s.

What is the speed of the block?

The speed of the block is calculated by applying the following the law of conservation of energy.

ΔK.E = W

where;

ΔK.E is change in kinetic energyW is the work done by force of friction

¹/₂m(v₂ - v₁) = -μfd

where;

f is force of frictionμ is coefficient of frictiond is the distance traveled

¹/₂m(v₂ - v₁) = -μmgd

v₂ - v₁ = -2μgd

v₂  = v₁ -2μgd

v₂ = 2 - (2 x 0.3 x 9.8 x 3)

v₂ = -15.64 m/s

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We have,

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