A 5-lbm toy car is at the end of a spring compressed 2 inches. The linear spring has a force constant of k = 3 lbf/in. (Recall that for a linear spring, F=kx). Neglect friction in all parts.
(A). How much energy is stored in the compressed spring?
(B). If the spring is released, what is the maximum velocity of the car on a level surface in ft/s?
(C). If the car approaches at 15 degree incline, how much further will the car travel before it stops?
(D). IF instead a motor is used to maintain a constant velocity on the incline, what horsepower is required?
(E). If instead the car approaches at 15 degree decline, what is the maximum velocity 5 feet further along the track?