Question

A 0.50 kg toy is attached to the end of a 1.0 m very light string. The toy is whirled in a horizontal circular path on a frictionless tabletop. If the maximum tension that the string can withstand without breaking is 350 N. What is the maximum speed the mass can have without breaking the string?

Answer 1

The maximum speed will be 26.475 m/sec

Step-by-step explanation:

We have given mass of the toy m = 0.50 kg

radius of the light string r = 1 m

Tension on the string T = 350 N

We have to find the maximum speed without breaking the string

For without breaking the string tension must be equal to the centripetal force

So
`T=(mv^2)/(r)`

So
`350=(0.5* v^2)/(1)`

`v^2=700`

v = 26.475 m /sec

So the maximum speed will be 26.475 m/sec