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when Heather swings on a swing set she moves in a periodic motion like a pendulum she has a mass of 62 kg if Heather has a maximum height of
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U Max velocity= Potential energy= kinetic energy
The potential energy is the product of mass * acceleration due to gravity * height
The kinetic energy is the product of 1/2 mass* square of velocity.
Max Velocity=mgh= 1/2mv^2
Mass is given as 62kg, height =1.2m and g= 9.8m/s^2
62kg* 9.8m/s^2*1.2= 1/2*62kg* v^2
729.12=31v^2
V^2= 729.12/31 =23.52
V^2=square root of 23.52
V= 4.85m/s