A toy car of mass 0.20 kg is released from rest at the top of a curved track at a vertical height of 1.5 m above a horizontal floor. As the car slides down the track, 15% of its initial gravitational potential energy is transferred to thermal energy due to friction. At the bottom of the track, the car moves horizontally and collides with a spring of spring constant 120 N m-1, compressing it by a maximum distance xxx.
Assume the acceleration due to gravity is g=9.8 m s−2g = 9.8\text{ m s}^{-2}g=9.8 m s−2.
What is the maximum compression x x\,x of the spring?
0.144 m0.144\text{ m}0.144 m
0.204 m0.204\text{ m}0.204 m
0.221 m0.221\text{ m}0.221 m
0.086 m0.086\text{ m}0.086 m