A certain string can withstand a maximum tension of 30 N withoutbreaking. A chil

Question

A certain string can withstand a maximum tension of 30 N withoutbreaking. A child ties a 250g stone to one end of the string. Whileholding the other end the child whirls the stone in a circle ofradius 75 cm and slowly increases speed until the stringbreaks.
A) If the circle is horizontal, what is the speedof the stone when the string breaks?
B) If the circle is vertical, what is the speed ofthe stone when the string breaks?

So far I know that I have to include acceleration due to gravity inthe problem but confused where. I would greatly appreciate a stepby step process so I can better understand solving the problem.

Thanks in advance

Explanation / Answer

a) T = mv2 / r     v = (r*T / m) b) T + mg = mv2 / r           v= (r/m)*(T + mg) Substitute values.

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