Using the Momentum Principle for the real system for the juniper alone (or the p

Question

Using the Momentum Principle for the real system for the juniper alone (or the point particle system; the momentum principle is the same for both systems), going from the crouch (y_1, just before starting to jump) to lift-off (y_2, just after feet leave the floor), determine the amount of time Delta at the jumper's feet are in contact with the floor. Assume the force of the floor F_floor is approximately constant while the feet are in contact with the floor. Address explicitly: Initial momentum of the jumper Final momentum of the jumper (write in terms of the speed v_2) Net force exerted on the system (write in terms of F_floor) Write the Momentum Principle for this situation and choice of system. Be careful of signs. Solve for the amount of time that the jumper's feet are in contact with the floor in terms of m, g, v_2, F_floor Note that the Momentum Principle always involves the net force, the vector sum of all the forces acting on the system. Also note that F_floor must be larger than mg in order to increase the upward momentum. Using the Momentum Principle for the real system for the juniper alone (or the point particle system; the momentum principle is the same for both systems), going from the crouch (y_1, just before starting to jump) to lift-off (y_2, just after feet leave the floor), determine the amount of time Delta at the jumper's feet are in contact with the floor. Assume the force of the floor F_floor is approximately constant while the feet are in contact with the floor. Address explicitly: Initial momentum of the jumper Final momentum of the jumper (write in terms of the speed v_2) Net force exerted on the system (write in terms of F_floor) Write the Momentum Principle for this situation and choice of system. Be careful of signs. Solve for the amount of time that the jumper's feet are in contact with the floor in terms of m, g, v_2, F_floor Note that the Momentum Principle always involves the net force, the vector sum of all the forces acting on the system. Also note that F_floor must be larger than mg in order to increase the upward momentum.

Explanation / Answer

from the impulse momentum theorem

momentum = m*v2

impulse = F*t

here Ffllor = mg

F*t = mv2

t = mv2/Ffloor

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