Puck A, of inertia m, is attached to one end of a string of length ℓ, and the other end of the string is attached to a pivot so that the puck is free to revolve on a smooth horizontal surface. Puck B, of inertia 20m, is attached to one end of a string of length ℓ/4, and the other end of the string is attached to a second pivot so that B is also free to revolve. In each case, the puck is held as far as possible from the pivot so that the string is taut and then given an initial velocity v perpendicular to the string. Part A How does the magnitude of the angular momentum of puck A about its pivot compare with that of puck B about its pivot? Part B How does the rotational kinetic energy of A compare with that of B?

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Puck A, of inertia m, is attached to one end of a string of length ℓ, and the other end of the string is attached to a pivot so that the puck is free to revolve on a smooth horizontal surface. Puck B, of inertia 20m, is attached to one end of a string of length ℓ/4, and the other end of the string is attached to a second pivot so that B is also free to revolve. In each case, the puck is held as far as possible from the pivot so that the string is taut and then given an initial velocity v perpendicular to the string.

Part A

How does the magnitude of the angular momentum of puck A about its pivot compare with that of puck B about its pivot?

Part B

How does the rotational kinetic energy of A compare with that of B?

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