Physics

Problem

4.0\,\text{kg}

lab cart starts from rest on a horizontal surface. A constant horizontal force does

120\,\text{J}

of work on the cart while it moves

2.0\,\text{m}

, after which the force is removed. The cart then coasts

3.0\,\text{m}

up a

37^{\circ}

incline where the coefficient of kinetic friction is

0.15

. At the top of the incline the cart immediately contacts a light horizontal spring with force constant

200\,\text{N/m}

and finally comes momentarily to rest after compressing the spring. Neglect air resistance. What is the maximum compression of the spring? a)

0.84\,\text{m}

1.2\,\text{m}

0.60\,\text{m}

0.42\,\text{m}