Question

30kg Michaela is swinging on a swing. Her total mechanical energy is 600 J. At what height will she be when she has a velocity of 2 m/s?

Please show all work!
40 points!!

Answer 1

1.84 m

Step-by-step explanation:

ME = KE + PE = 1/2mv² + mgh

600 J = 1/2(30 kg)(2 m/s)² + (30 kg)(9.8 m/s²)h

Solve for h:

600 J = 60 J + (294 kg·m/s²)h

h = 540J/294kg·m/s² = 1.84 m