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A small object of uniform density rolls up a curved surface with an initial velocity . It reaches up to a maximum height of with respect to the initial position. The object is a:

  1. A
    Ring
  2. B
    Solid sphere
  3. C
    Hollow sphere
  4. D
    Disc

Solution & Step-by-step Explanation

Using the conservation of mechanical energy for a rolling object:Total initial $
\omega = v/R I = mk^2 k $



For a disc (or solid cylinder), , so , which gives .Thus, the object is a disc.

Practice this question

Try it yourself before checking the explanation above.

A small object of uniform density rolls up a curved surface with an initial velocity . It reaches up to a maximum height of with respect to the initial position. The object is a:
A
Ring
B
Solid sphere
C
Hollow sphere
D
Disc

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Rotational MotionConservation of Energy

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