Calculate the magnitude of the force produced if an 80.0-kg person jumps from a

Question

Calculate the magnitude of the force produced if an 80.0-kg person jumps from a 0.600–m-high ledge and lands stiffly, compressing joint material 1.50 cm as a result. (Be certain to include the weight of the person.)

(a) Calculate the magnitude of the force produced if an 80.0-kg person jumps from a 0.600-m-high ledge and lands stiffly, compressing joint material 1.50 cm as a result. (Be certain to include the weight of the person.) 31360 (b) In practice the knees bend almost involuntarily to help extend the distance over which you stop. Calculate the magnitude of the force produced if the stopping distance is 0.300 m. 2352

Explanation / Answer

Using W = Fd and the work-energy theorem gives: W = F d = mgh

F = mgh / d = ( 80 x 9.8 x 0.600 ) / 0.015 = 3.136 x 106 N

a) Net force acting on the person is = his weight + F

= mg + F

= 80 x 9.8 + 3.136 x104

= 32144 N

net force produced = 3.21 x 104 N

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