Question
Question: A hollow cylinder and solid sphere of same mass and radius are rolling with same initial velocity v ...
A hollow cylinder and solid sphere of same mass and radius are rolling with same initial velocity v on a rough inclined plane. Find the ratios of their kinetic energies and maximum height reached by them.
A
The ratio of their kinetic energies is 7:10 and the ratio of their maximum heights is 7:10.
B
The ratio of their kinetic energies is 10:7 and the ratio of their maximum heights is 10:7.
Answer
The ratio of their kinetic energies is 7:10 and the ratio of their maximum heights is 7:10.
Explanation
Solution
Using conservation of energy, we find the total kinetic energy for both the solid sphere and hollow cylinder, and then calculate the maximum heights they reach based on their kinetic energies.