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6 February, 07:14

A child on a spinning playground ride is 0.36 m from the center of the ride. The centripetal force on the child is 19 N. What is the mass of the child if the child has a tangential speed of 0.54 m/s?

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  1. 6 February, 08:24
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    Any motion in a curved path represents accelerated motion, and requires a force directed toward the center of curvature of the path. This force is called the centripetal force which means "center seeking" force. The force has the magnitude

    F = mv^2 / r

    Where f is the centripetal force

    M is the mass

    V is the velocity

    R is the radius

    19 N = m (0.54 m/s) ^2 / 0.36 m

    Solving for m

    M = 23.5 kg
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