A string under a tension of 48 N is used to whirl a rock in a horizontal circle of radius 2.4 m at a speed of 18.48 m/s. The string is pulled in, and the speed of the rock increases.

Question

When the string is 1.076 m long and the speed of the rock is 49.4 m/s, the string breaks. What is the breaking strength of the string?
Answer in units of N.

Answer 1

The string tension is proportional to V^2/R, the centripetal acceleration.

[V^2/R]initial = 142.3 m/s^2
[V^2/R]final = 2268 m/s^2

The breaking strength is therefore
48*(2268/142.3) = ___ N

Answer 2

765.03

Answer 3

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