Because of your extensive knowledge of physics you\'ve been hired to assess the

Question

Because of your extensive knowledge of physics you've been hired to assess the safety of a new, potentially dangerous carnival ride. A carnival patron is strapped into a chair that is attached to a giant pole by a 20m long rope and launched into circular orbit around the top of the pole, moving at 6m/s. Once in orbit, the rope is pulled through the centre of the of the pole, gradually reducing the length of the rope. If the rope stops being pulled when only 2m remains, what speed will the patron be moving? Is this a dangerous speed? You can ignore the effects of gravity for this problem.

Explanation / Answer

Given that

Length of rope r =20 m

Speed v1=6m/s

Change in length L=2m

Dangerous speed v=?

Concept:

This problems belongs to gravitational force

Formula :

(L/r) =(V/v1)^2

Calculated:

V/v1 =2÷20

V/6 =1÷10

V =6×0.1

=1.897 m/s

The dangerous speed =1.897m/s

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