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A stone with a mass of 0.700kg is attached to one end of a string 0.600m...

A stone with a mass of 0.700kg is attached to one end of a string 0.600m long. The string will break if its tension exceeds 65.0N . The stone is whirled in a horizontal circle on a frictionless tabletop; the other end of the string remains fixed.

Part A

Find the maximum speed the stone can attain without breaking the string? m/s

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Answer #1

T_max = m*v^2/r

v = sqrt(T_max*r/m)

= sqrt(65*0.6/0.7)

= 7.46 m/s

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Answer #2

using equation for circular motion

T = mv2/r

Max T = 65 N

65 = 0.7xv2/(0.6)

v2 = 55.71

v = 7.46 m/s

So maximum speed = 7.46 m/s

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