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A 4 kg block is on a horizontal surface with coefficient of static friction = 0.

ID: 1865168 • Letter: A

Question

A 4 kg block is on a horizontal surface with coefficient of static friction = 0.5 and an unknown coefficient of kinetic friction. coefficient of kinetic friction. In all of the questions, the applied tension force is horizontal.

1. When a 24 N tension force is applied, the block speeds up at a constant rate of 2 m/s2. What is the magnitude of the kinetic friction force?

2. While still sliding, the tension force is reduced to a value such that the block now slows down at a constant rate of 2 m/s2. What is the magnitude of the tension force?

Explanation / Answer

A. Applying newton's 2nd law

ma= T- frictional kinetic force

4*2= 24+ f

f= 16 N

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B. Applying Newton's 2nd law of motion

ma= T - f

T= 4*(-2)+ 16

T= 8 N

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