QUESTION 9 Tony Hawk is skating through a half-pipe with a radius of 4 m. Initia

Question

QUESTION 9

Tony Hawk is skating through a half-pipe with a radius of 4 m. Initially he is in a crouched position with his center of mass 0.5 m above the surface of the half-pipe. He starts from rest with his center of mass a height of 3 m above the base of the half-pipe and experiences no loss of energy from friction as he moves. At the bottom of the half-pipe he stands up and lifts his arms into the air, thereby raising his center of mass to 1.0 m. He then continues up the other side of the half-pipe. What is the maximum height (in m) that his center of mass reaches on the other side of the half-pipe? You may model Tony as a point particle.

Explanation / Answer

3.5 metre

Energy is conserved as theie is no frictional loss so he will reach at 3 metre above the base of height position if it remains at couch position but for maximum height he will lift his arm and raise center of mass by 0.5 m(as at this position center of mass is 1 m above surface while at couch position=0.5 m) so maximum height=3.5 m

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