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# BIO Force During a Jump. When jumping straight up from a ## Problem 21E Chapter 5

University Physics | 13th Edition

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Problem 21E

BIO Force During a Jump.? When jumping straight up from a crouched position, an average person can reach a maximum height of about 60 cm. During the jump, 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) Draw a free-body diagram of the person during the jump. (c) In terms of this jumper’s weight w, what force does the ground exert on him or her during the jump?

Step-by-Step Solution:

Solution 21E Step 1: Height reached by the person (h) = 60cm or 0.6m Problem (a) Step 1: To find Initial speed required to reach the height 2 2 v = v 0 + 2aS ----- (1) Here S = h 2 a = -9.8 m/s (jumping upward) v = 0 m/s (final velocity = 0 when maximum height) Step 2: Substituting known values and rearranging (1) v = 2gh 0 v0 = 2 9*8 0.* v0 = 3.43 m/s Problem (b) Free-body diagram Problem (c) Step 1: To find the force exerted on the man F = mg + ma ----- (2) During the jump, the person’s body from the knees rises a distance of around 50 cm. Therefore x = 0.5m. Step 2: To find acceleration produced 2 2 v = v 0 2ax 2 v = 0 2 v 0 = 2ax

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##### ISBN: 9780321675460

This textbook survival guide was created for the textbook: University Physics, edition: 13. The full step-by-step solution to problem: 21E from chapter: 5 was answered by Patricia, our top Physics solution expert on 05/06/17, 06:07PM. University Physics was written by Patricia and is associated to the ISBN: 9780321675460. This full solution covers the following key subjects: during, jump, Person, body, height. This expansive textbook survival guide covers 26 chapters, and 2929 solutions. Since the solution to 21E from 5 chapter was answered, more than 308 students have viewed the full step-by-step answer. The answer to “BIO Force During a Jump.? When jumping straight up from a crouched position, an average person can reach a maximum height of about 60 cm. During the jump, 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) Draw a free-body diagram of the person during the jump. (c) In terms of this jumper’s weight w, what force does the ground exert on him or her during the jump?” is broken down into a number of easy to follow steps, and 115 words.

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