A certain string can withstand a max tension of 43 N without breaking. A child t

Question

A certain string can withstand a max tension of 43 N without breaking. A child toes a .34 kg stone to one end and holding the other end, whirls the stone in a vertical circle of radius .91 m, slowly increasing the speed until the string breaks.

A. What is the speed of the stone as the string breaks? B. what is the speed of the stone at the top of the circle? C. What is the tension in the string at the top of the circle? A certain string can withstand a max tension of 43 N without breaking. A child toes a .34 kg stone to one end and holding the other end, whirls the stone in a vertical circle of radius .91 m, slowly increasing the speed until the string breaks.

A. What is the speed of the stone as the string breaks? B. what is the speed of the stone at the top of the circle? C. What is the tension in the string at the top of the circle?

A. What is the speed of the stone as the string breaks? B. what is the speed of the stone at the top of the circle? C. What is the tension in the string at the top of the circle?

Explanation / Answer

Tmax = 43 N

m = 0.34 kg

r = 0.91 m

A. at breaking point , T = mv^2/r

43 = 0.34 *v^2/0.91

v^2 = 115.088   v = 10.72 m/s

B. at top circle

   v^2 = g*r

   v = 2.98 m/s

C.   

   T - mg = mv^2/r

   T = 6.65 N

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