Question

1. a 2.0 kg ball attached to a string travels at a constant speed of 4.0 m/s in a horizontal circle of radius 0.50 meters. if the mass of the ball were doubled, the magnitude of the centripetal force on the ball would be

○ halved
○ doubled

Explanation:

Step1: Recall centripetal force formula

Centripetal force is $F_c = \frac{mv^2}{r}$ where $m$=mass, $v$=speed, $r$=radius.

Step2: Analyze effect of doubling mass

Original $F_{c1} = \frac{m_1v^2}{r}$. New $m_2=2m_1$, so $F_{c2} = \frac{2m_1v^2}{r} = 2F_{c1}$.

Answer:

doubled