Question

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 1.2 M what is her maximum velocity? ​

Answer 1

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