1. Explain the transformation of energy when a person picks up a book and places it on a shelf.

2. A truck of mass Mt is moving at Vt towards the East collides with a stationary car of mass Mc, and the two merge. Derive an expression for the final velocity of the car-truck system.

3. A block slides down an incline of height h1 without friction and reaches a maxiumum speed of v1 at the bottom. If the desired speed is 4v1, then how much higher much the incline be?

4. Two football players are running towards each other at full speed. At collision they lock together. Derive the initial velocity of the player moving towards the right.

5. A wagon is being pulled up a hill by a running child. Derive the work done by friction on the wagon