Answer to Question #83462 in Mechanics | Relativity for Damber

Question

when centripetal force and radius stayed the same, but mass increased, what happened to the velocity? why?

Answer 1

According to the second Newton's law:

F=ma

centripetal acceleration:

a=V^2/r

F=(mV^2)/r

Accordingly, from the obtained expression it is seen that if the mass increases 4 times, then the velocity will decrease by 2 times, that is, the speed is inversely proportional to the root of the mass increase

V=√(Fr/m)

Answer:

If the mass increases 4 times, then the velocity will decrease by 2 times, that is, the speed is inversely proportional to the root of the mass increase.