Physics question #1 part b

Question

A 3.75 kg object tied to a string is swung around a person’s head in a horizontal circle. The length of the string is 1.0 m and the maximum force the string can withstand without breaking is 25.0 N. What is the maximum speed the object may be swung without breaking the string?

Group of answer choices

17.6 m/s

2.6 m/s

6.8 m/s

33.8 m/s

Answer 1

Addison

The centripetal force (force on the string) will be ma, where the acceleration a = v² / r

So basically the force will be mv²/r. This can be at most 25 N.

So you have to solve mv²/r = 25 for v, m and r are given.

Mike