PhysicsTwo identical hollow spheres roll down two inclined planes of same height but of different angles of inclination. Then, they reach the bottom

Two identical hollow spheres roll down two inclined planes of same height but of different angles of inclination. Then, they reach the bottom

  1. A

    with same speeds and in same time 

  2. B

    with different speeds and in different times 

  3. C

    with same speed but in different times 

  4. D

    with different speeds in same times

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    Solution:

    The sphere rolling down the steeper incline will experience a greater acceleration due to gravity, allowing it to reach a higher speed. 

    However, it will also have a shorter distance to travel, so it will reach the bottom in less time. 

    Conversely, the sphere rolling down the less steep incline will experience a smaller acceleration, resulting in a lower speed but a longer distance to travel, so it will take more time to reach the bottom.

    Also, the velocity attained will be due to the conversion of potential energy into kinetic energy, which will be same in both cases. Therefore, the final velocities will be same.

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