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A sling-thrower puts a stone (0.260 kg) in the sling\'s pouch (0.0400 kg) and th

ID: 1879318 • Letter: A

Question

A sling-thrower puts a stone (0.260 kg) in the sling's pouch (0.0400 kg) and then begins to make the stone and pouch move in a vertical circle of radius 0.670 m. The cord between the pouch and the person's hand has negligible mass and will break when the tension in the cord is 37.0 N or more. Suppose the sling-thrower could gradually increase the speed of the stone. (a) Will the breaking occur at the lowest point of the circle or at the highest point? (b) At what speed of the stone will that breaking occur? (b) Number Units

Explanation / Answer

a)

Lowest point

Because there centrifugal force and weight will add up to make tension

b)

mv^2 / r + mg = T

0.3 x v^2 / 0.67 + 0.3 x 9.8 = 37

v = 8.72 m/s

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