1. A 20 kg child runs at 4.0 m/s onto a shopping cart which is at rest. The mass of the shopping cart is 20 kg. Assuming the child rides on the cart after the collision, calculate the speed of the child and shopping cart right after the collision.

2. A child runs at 4.0 m/s and jumps onto a sled, initially at rest. The child's mass is 36 kg, and the child and sled slide off together at 3.0 m/s after the collision. Calculate the mass of the sled.

3. A bullet of mass 0.010 kg and speed of 100 m/s is brought to rest in a wooden block after penetrating a distance of 0.10 m. This process takes 0.02 seconds. Calculate the magnitude of the average force applied by the block to the bullet.

4. A mixture consists of 60 g of ice and 40 g of water, both at 00C. Calculate the amount of heat necessary to melt the ice. Latent heat of fusion of ice is 80 cal/g.

5. Calculate the heat required to raise the temperature of 500 g of water from 100C to 400C. Specific heat of water is 1cal/g 0C.

6. The temperature of a 50 g sample of aluminum is raised from 200C to 900C when 770 calories of heat is added. Calculate the specific heat of aluminum.

7. An object has a temperature of 500C. Convert this temperature in Fahrenheit.