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
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
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