4. A mass m rotates at constant speed v at a radius of R from the rotational axis. A force F provides the centripetal force Fc. If you double the radius R of the motion, without changing m or v, the force needed to keep the mass in circular motion would (a) stay the same. (b) double. (c) halve. (d) quadruple.

Principles of Physics: A Calculus-Based Text
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Chapter10: Rotational Motion
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4. A mass m rotates at constant speed v at a radius of R from the rotational axis. A
force F provides the centripetal force Fc. If you double the radius R of the motion,
without changing m or v, the force needed to keep the mass in circular motion would
(a) stay the same.
(b) double.
(c) halve.
(d) quadruple.
Transcribed Image Text:4. A mass m rotates at constant speed v at a radius of R from the rotational axis. A force F provides the centripetal force Fc. If you double the radius R of the motion, without changing m or v, the force needed to keep the mass in circular motion would (a) stay the same. (b) double. (c) halve. (d) quadruple.
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