A bug sits on a record moving at a constant angular speed of 0 3 5 rad s Starting at t 0 s, the record player is turned off and is given a constant angular acceleration of 1 0 rad s 2 The bug sits R 10 cm from the center of the record You may treat the bug as a point mass (a) Calculate the magnitud...

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A bug sits on a record moving at a constant angular speed of 0 = 3.5 rad/s.

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A bug sits on a record moving at a constant angular speed of ω0 = 3.5 rad/s. Starting at t = 0 s, the record player is turned off and is given a constant angular acceleration of α = −1.0 rad/s². The bug sits R = 10 cm from the center of the record. You may treat the bug as a point mass.
(a) Calculate the magnitude of the initial tangential velocity of the bug at t = 0 s.
(b) How long does it take for the bug to come to a stop?
(c) What is the total arc length traveled by the bug between t = 0 s and the time when the record comes to a stop?
(d) If the mass of the record is M = 20 g and the mass of the bug is m = 0.2 g, how much work is done on the system between t = 0 and the time it stops? The radius of the record is 15 cm.