Answer:
The velocity of the stone is , v = 4.45 m/s
Explanation:
Given data,
The mass of the rock, m 50 kg
The length of the string, r = 1.0 m
The breaking force of the string, F = 990 N
If the rotated in a circular motion with the string, the string breaks when the centripetal force exceeds 990 N.
The centripetal force is given by the formula,
F = mv²/ r
∴ v = √(Fr/m)
= √(990 x 1 / 50)
= 4.45 m/s
Hence, the velocity of the stone is , v = 4.45 m/s