1. You release a disk (momentum of inertia Idisk=(1/2)mr2 ) withmass m = 100 g and radius r = 10 cm from height 15 cm on a rampwith angle 15°, write down the energy conservation equation for theobject at the bottom of the ramp.
2. Use the energy conservation equation you wrote down from step1, solve for the velocity of the disk at the bottom of theramp.
3. Does your answer of the final velocity of the disk depend onits 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 yourresults?
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 yourresults?
6. If you rolled any disk down a ramp 15 cm high, what is itsspeed at the bottom?
7. If you rolled any ring down a ramp 15 cm high, what is itsspeed at the bottom? Note that for the ring, its momentum ofinertia Iring = mr2 .
8. If you rolled a sphere, disk, and ring at the same time, inwhat order do they reach the bottom? Assume the height is 15cm.
9. If you dropped a sphere, disk, and ring at the same time, inwhat order do they hit the ground? Assume the height is 15 cm.