The cart shown above has a mass 2m. The cart is released from rest and slides from the top of an inclined friction less plane of height h. Express all algebraic answers in terms of the given quantities and fundamental constants.
a. Determine the speed of the cart when it reaches the bottom of the incline.
b. After sliding down the incline and across the friction less horizontal surface, the cart collides with a bumper of negligible mass attached to an ideal spring, which has a spring constant k. Determine the distance xm the spring is compressed before the cart and bumper come to rest.
