Question

A 77kg sprinter is running the 100m dash. At one instant, early in the race, his acceleration is…

a.) What total force does the track surface exert on the sprinter? Assume his acceleration is parallel to the ground. Give your answer as a magnitude and an angle withrespect to the horizontal.
b.) This force is applied to one foot (the other foot is in the air), which for a fraction of a second is stationary with respect to the track surface. Because thefoot is stationary, the net force on it must be zero. Thus the force of the lower leg bone on the foot is equal but opposite to the force of the track on the foot. Ifthe lower leg bone is 60 degrees from horizontal, what are the components of the leg's force on the foot in the directions parallel and perpendicular to the leg?

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