Work and power!
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Answer:
The tension experienced in the string at the highest point is approximately 9.019 Newtons
Explanation:
The mass of the body tied to the string, m = 0.1 kg
The path of motion of the mass = Vertical circular motion
The speed of rotation of the stone, v = 10 m/s
The radius of the circular motion path, r = 1 m
The required information = The tension at the highest point, T
At the highest point, the tension, 'T', comprises of the centrifugal force, 'F', acting upwards in the string and the weight, 'W' of the body acting downwards
∴ T = F - W
Weight, W = m × g
Where;
g = The acceleration due to gravity ≈ 9.81 m/s²
Therefore;
The centrifugal force, F = 0.1 kg × (10 m/s)²/(1 m) = 10 N
The weight of the mass tied to the string, W ≈ 0.1 kg × 9.81 m/s² = 0.981 N
From which we have;
T = 10 N - 0.981 N = 9.019 N
The tension experienced in the string at the highest point ≈ 9.019 Newtons