1. You release a disk (momentum of inertia Idisk=(1/2)mr2 ) with mass m = 100 g...

1. You release a disk (momentum of inertia Idisk=(1/2)mr2 ) with mass m = 100 g and radius r = 10 cm from height 15 cm on a ramp with angle 15°, write down the energy conservation equation for the object at the bottom of the ramp.

2. Use the energy conservation equation you wrote down from step 1, solve for the velocity of the disk at the bottom of the ramp.

3. Does your answer of the final velocity of the disk depend on its mass or radius? Explain your answer.

4. If the disk you rolled down the ramp were twice as heavy (i.e., if it had twice the mass), how would this affect your results?

5. If the disk you rolled down the ramp were twice as large (i.e., if it had twice the radius), how would this affect your results?

6. If you rolled any disk down a ramp 15 cm high, what is its speed at the bottom?

7. If you rolled any ring down a ramp 15 cm high, what is its speed at the bottom? Note that for the ring, its momentum of inertia Iring = mr2 .

8. If you rolled a sphere, disk, and ring at the same time, in what order do they reach the bottom? Assume the height is 15 cm.

9. If you dropped a sphere, disk, and ring at the same time, in what order do they hit the ground? Assume the height is 15 cm.

Solutions

Expert Solution

genius_generous answered 1 week ago

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