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Physics

A person swings on a rope from a cliff that is 20 m high. How fast is the person moving at the lowest point of the swing? (Take g=10m/s-2)

Work, Energy & Power

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Answer

As the person swings on a rope from a cliff of height h = 20 m then potential energy at the top gets converted into kinetic energy at the lowest point.

From conservation of energy,

Potential energy at top = Kinetic energy at lowest point

mgh = 12\dfrac{1}{2}mv2

gh = 12\dfrac{1}{2}v2

10 x 20 = 12\dfrac{1}{2}v2

400 = v2

v=400=20v=\sqrt{400}=20 m/s

∴ The person is moving at a speed of 20 m/s at the lowest point of the swing.

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