A mass of 1.00 Kg on the end of string that is 0.5 meters long is swung in a circle. The centripetal force is 5.0 Newtons. How fast is the mass moving?

Question

A) 5.0 meters per second

B) 2.0 meters per second

C) 10.0 meters per second

D) 1.0 meters per second

E) 1.5 meters per second 

Answer 1

Okay, the quick version: you are going to use the equation a=v²/r, where a=acceleration, v=velocity, and r=radius of circle (which is the length of the string in this case), and solve the equation for v. 

But first, you need to find a, using which can do by using the equation F=ma, where F=force (centripetal force in this case), and m=mass of the object. So, plug in F and m and solve for a, then plug in a and r into the first equation and solve for v. Go!