Question

A 3.00 kg box is moving to the right with speed 8.00 m/s on a horizontal, frictionless surface. At t = 0 a horizontal force is applied to the box. The force is directed to the left and has magnitude F(t)=( 6.00 N/s2 )t2

What distance does the box move from its position at t=0 before its speed is reduced to zero?

If the force continues to be applied, what is the velocity of the box at 3.00 s ?

Step 1

Let us assume the box is initially moving with a velocity *u*, when the force is applied then the box is subjected to constant decrement in the velocity. It takes time *t*_{1} to reduce the velocity *v _{1}* to zero, let

As the motion is in horizontal plane consider right direction to be positive and left direction to be negative.

Step 2

Write the expression for Newton’s second law, and substitute the above found values.

Step 3

To find the constant C. put the ini...

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