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Painter, wearing roller skates, starts with negligible velocity at the top of th

ID: 1699584 • Letter: P

Question

Painter, wearing roller skates, starts with negligible velocity at the top of the dome and coastst down over the dome's surface. The mass of painter, including skates is 80kg and the radius of the dome is 8m. Assume that the painter's mass is constant over this one run and neglect friction and air resistance.

Question is

A person can just survive a full body collision if the average force is less than 72000N. If it takes the ground 0.05 seconds to stop the painter, is it likely he will survive the fall? If not, where should the assistant place the net from the dome to break the painter's fall? Explanations must include physics principle(s)

Explanation / Answer

conservation of energy. mg*r=mv^2/2 so that v=sqrt(2gr)=12.52. so that momentum of the painter. 12.52*80=1000(kgm2/s). so that the average force 1000/0.05=20000(N). ------------------------------------ he ll survive. -------------------------