Question

What is the centripetal force on a mass being spun on a string above your head if the mass is 50 g, the velocity is 30 cm/s, and the radius of the circle is 3 m?

Answer 1

The centripetal force on a 50 g mass being spun on a string with a velocity of 30 cm/s and a radius of 3 m is 0.0015 Newtons.

Step-by-step explanation:

To calculate the centripetal force on a mass being swung on a string, we use the formula F = (m*v^2)/r, where 'F' is the centripetal force, 'm' is the mass, 'v' is the tangential velocity, and 'r' is the radius of the circle. In this case:

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• Mass (m) = 50 g = 0.050 kg (Since 1 g = 0.001 kg)
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• Velocity (v) = 30 cm/s = 0.30 m/s (Since 1 cm = 0.01 m)
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• Radius (r) = 3 m

Substitute these values into the formula:

F = (0.050 kg * (0.30 m/s)^2) / 3 m

F = (0.050*0.09) / 3

F = 0.0045 / 3

F = 0.0015 kg*m/s^2

Therefore, the centripetal force exerted on the mass is 0.0015 Newtons (N).