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A 1.5 kg box is initially at rest on a horizontal surface

Chapter , Problem 93

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QUESTION:

A 1.5 kg box is initially at rest on a horizontal surface when at t " 0 a horizontal force (with t in seconds) is applied to the box. The acceleration of the box as a function of time t is given by for 0 0 t 0 2.8 s and for t . 2.8 s. (a) What is the coefficient of static friction between the box and the surface? (b) What is the coefficient of kinetic friction between the box and the surface?

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QUESTION:

A 1.5 kg box is initially at rest on a horizontal surface when at t " 0 a horizontal force (with t in seconds) is applied to the box. The acceleration of the box as a function of time t is given by for 0 0 t 0 2.8 s and for t . 2.8 s. (a) What is the coefficient of static friction between the box and the surface? (b) What is the coefficient of kinetic friction between the box and the surface?

ANSWER:

Step 1 of 2 a) Given, at time the horizontal force, The box make movement when time, So the applied force is given by, The maximum frictional force is given by, That is, Implies, .........(1) The normal force on the box is given by, ............(2) Put this value in equation one, implies, The coefficient of static friction is .

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