After jumping into the air, a man lands back where he started. When landing, he still...

After jumping into the air, a man lands back where he started. When landing, he still moves down after touching the ground until his velocity stops, and then he is able to stand upright. Assume up is positive.

a) Sketch the graph of the magnitude of the Normal Force the ground exerts on the man vs time. Draw in a line for the magnitude of the force of gravity the earth exerts on him for a sense of scale. Assume that he is in the air at time = 0.

b) If the problem involved the magnitude of the Normal Force he exerts on the ground, how would the sketch change?

Expert Solution

a] The normal force which the ground exerts on the man will be directed upwards and it is equal in magnitude to the force of gravity which remains constant W = mg regardless of whether the man is touching the ground or not.

From the time of the jump right up till the point when the man's feet leave the ground, the normal force remains constant. At t=0 when he is in the air, the normal force suddenly becomes zero and it remains zero until the man comes back to the ground.

b] The sketch would only change for the direction of the normal force since the normal force now is the force which the man exerts on the ground and it is equal in magnitude to the normal force exerted by the ground on the man. Only now, the contact force on the ground due to the man will be downwards.

genius_generous answered 2 years ago

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