(5.21) An average person can reach a maximum height of about 60 cm when jumping
ID: 1261139 • Letter: #
Question
(5.21)
An average person can reach a maximum height of about 60 cm when jumping straight up from a crouched position. During the jump itself, the person's body from the knees up typically rises a distance of around 50 cm. To keep the calculations simple and yet get a reasonable result, assume that the entire body rises this much during the jump.
A)With what initial speed does the person leave the ground to reach a height of 60 cm?
B)In terms of this jumper's weight W , what force does the ground exert on him or her during the jump?
Explanation / Answer
v = sqrt(2*g*h) = 3.43 m/s
a = v^2/2d = 3.43^2/2*0.5 = 11.76 m/s^2
F = W/(g) *(g+a) = w*(11.76+9.8)/9.8 = 2.2 W
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