Answer to Question #96284 in Mechanics | Relativity for B Ranjith Kumar

Question

Fc=mv2/r
Fc is centripetal force, m is mass, v is speed and r is radius


6. What will happen to the size of the centripetal force if the mass (m) is doubled?


1)No change
2)The centripetal force doubles
3)The centripetal force increases by a factor of 4
4)The centripetal force is halved

Answer 1

The centripetal force

$$F=\frac{mv^2}{r}$$

If the mass is doubled then

$$F'=\frac{2mv^2}{r}=2\times\frac{mv^2}{r}=2F$$

Answer: (2) The centripetal force doubles.