A stone with a mass of 0.600 kg is attached to one end of a string 0.600 m long. The string will break if its tension exceeds 55.0 N. The stone is whirled in a horizontal circle on a frictionless tabletop; the other end of the string remains fixed. Find the maximum speed the stone can attain without breaking the string.

The maximum speed the stone can attain without breaking the string is 7.416 m/s

Explanation:

Given;

mass of the stone, m = 0.600 kg

length of string, L = 0.600 m

maximum tension on the string, T = 55.0 N

Total force acting on the stone in horizontal direction is given as;

∑

This force corresponds to maximum tension on the string;

where;

m is the mass of the stone

is the maximum speed the stone can attain without breaking the string, which corresponds to maximum tension on the string.

r is radius of the circular path of the string

The maximum speed the stone can attain without breaking the string is 7.416 m/s

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