A ball of mass m= 1 kg and negligible ideal string, length R initial position ideal string of length R= 1 m, as in the diagram on the left. The ball is dropped (from rest) from a position directly left of the point where the other end of the string is held fixed. At precisely the bottom of the ball's circular swing, it collides with a stationary cube of unknown mass M, which sits on a frictionless table. rotational inertia is attached to a massless string fixed at this end ball swings down |cube initially at rest frictionless horizontal surface Part A: Calculate the speed of the ball immediately before the collision. Part B: Immediately after the collision, the cube recoils to the right at one fourth the speed calculated in part A, and the ball bounces to the left, also at one fourth the speed calculated in part A. Calculate the mass of the cube.

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A ball of mass m = 1 kg and negligible
ideal string, length R
<initial position
ideal string of length R = 1 m, as in the
diagram on the left. The ball is dropped
(from rest) from a position directly left of
the point where the other end of the string
is held fixed. At precisely the bottom of
the ball's circular swing, it collides with a
stationary cube of unknown mass M,
rotational inertia is attached to a massless
string fixed at this end
ball swings down
|cube
initially at rest
which sits on a frictionless table.
frictionless horizontal surface
Part A: Calculate the speed of the ball immediately before the collision.
Part B: Immediately after the collision, the cube recoils to the right at one fourth the speed
calculated in part A, and the ball bounces to the left, also at one fourth the speed calculated
in part A. Calculate the mass of the cube.
Transcribed Image Text:A ball of mass m = 1 kg and negligible ideal string, length R <initial position ideal string of length R = 1 m, as in the diagram on the left. The ball is dropped (from rest) from a position directly left of the point where the other end of the string is held fixed. At precisely the bottom of the ball's circular swing, it collides with a stationary cube of unknown mass M, rotational inertia is attached to a massless string fixed at this end ball swings down |cube initially at rest which sits on a frictionless table. frictionless horizontal surface Part A: Calculate the speed of the ball immediately before the collision. Part B: Immediately after the collision, the cube recoils to the right at one fourth the speed calculated in part A, and the ball bounces to the left, also at one fourth the speed calculated in part A. Calculate the mass of the cube.
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