Physics

Problem

0.80\,\text{kg}

cart is at rest on a horizontal, frictionless track. A light ideal spring of force constant

120\,\text{N/m}

is attached to the front of the cart. A constant

3.5\,\text{N}

horizontal force is applied to the free end of the spring, always directed toward the cart, so that the point of force application moves

0.60\,\text{m}

relative to the track. The spring is initially unstretched and ends with a compression of

0.15\,\text{m}

. Calculate the final speed of the cart.