Conservation of Energy Show all work. 1. A 1300kg roller coaster car moves at 4m/s at the top of a 12m tall hill. Calculate the velocity of the car when it reaches the bottom of the hill. Assume friction is negligible. 2. A 2kg object is dropped from a 14m high window. Calculate the velocity of the object right before it hits the ground. Assume air resistance is negligible. 3. A 5kg block sits at rest against a spring (k = 700N/m) that has been compressed 0.21m. The spring decompresses transferring all of its energy to the block and sending the block up a ramp. Calculate the maximum height the block can reach on the ramp before coming to a stop. Assume friction is negligible. 4. A 14kg block starts at rest at the top of a 3m tall ramp. It slides down the ramp and reaches a velocity of 5.38m/s at the bottom. Calculate the work done by the friction force. 5. A 19kg cart moving at 8m/s across a level surface encounters a 3m long rough patch. The cart exits the rough patch with a velocity of 3m/s. Calculate the friction force exerted by the rough surface on the cart. 6. A 9kg block is dropped from a height of 5m. The block lands on a spring that has a spring constant of 1100N/m. Calculate the maximum distance that the block could compress the spring