**PHY 1001**

**Unit Five –Momentum**

**Mathematical Assignment**

1. Calculate the momentum of a 265 kg motorcycle traveling at 25 m/s.

**Key Idea****Stock of Data and**

**Solution**

**Sanity Check**

2. A rubber ball (1 kg) falls from a height of 10 m and collides elastically with the floor. What is the velocity of the ball as it rebounds from the floor?

**Key Idea****Stock of Data and**

**Solution**

**Sanity Check**

3. Two clay balls collide and stick. Ball 1 has a mass of 10 kg and an initial velocity of 10 m/s in the positive x direction. Ball 2 has a mass of 20 kg and an initial velocity of 5 m/s in the negative x direction. What is the final velocity of the combined mass?

**Key Idea****Stock of Data and**

**Solution**

**Sanity Check**

4. Two clay balls collide and stick. Ball 1 has a mass of 10 kg and an initial velocity of 5 m/s in the positive x direction. Ball 2 has a mass of 20 kg and an initial velocity of 5 m/s in the negative x direction. What is the final velocity of the combined mass?

**Key Idea****Stock of Data and**

**Solution**

**Sanity Check**

5. Two rubber balls undergo an elastic collision. Ball 1 has a mass of 10 kg and an initial velocity of 5 m/s in the positive x direction. Ball 2 has a mass of 10 kg and is stationary. What is the final velocity of the two balls, v1f, and v2f?

**Key Idea****Stock of Data and**

**Solution**

**Sanity Check**

6. A ceiling fan turns at a rate of 20 RPM what is its speed in radians per second, and the speed of a tip of a 50 cm fan blade in m/s?

**Key Idea****Stock of Data and**

**Solution**

**Sanity Check**

7. Calculate the angular momentum of a 265 kg motorcycle traveling at 25 m/s. traveling around a circular curve 500 m in radius

**Key Idea****Stock of Data and**

**Solution**

**Sanity Check**

8. A ceiling fan turns at a rate of 20 RPM. A 1 gram bug hangs on to the end of a 50 cm fan blade. What is the magnitude of the frictional force between the bug’s feet and the blade?

**Key Idea****Stock of Data and**

**Solution**

**Sanity Check**

9. A wrench 30 cm long is attached to a nut and bolt. You exert a 15 N force on the wrench. What is the maximum torque you can exert under these conditions?

**Key Idea****Stock of Data and**

**Solution**

**Sanity Check**

10. A uniform beam of length 10 m and mass 100 kg is supported by pylons on either end. A 200 kg box is centered at 5 m from the left end of the beam. What is the downward force on the left most pylon?

**Key Idea****Stock of Data and**

**Solution**

**Sanity Check**