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.

College Physics
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ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
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Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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**Question 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 \( F_c \). 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:**Question 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 \( F_c \). 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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