## College Physics (4th Edition)

Published by McGraw-Hill Education

# Chapter 4 - Problems - Page 151: 59

#### Answer

Yolanda exerts a force of $766~N$ on the elevator floor.

#### Work Step by Step

Let $F_N$ be the normal force of the elevator pushing up on the person in the elevator. Let $M$ be the person's mass. $\sum F = Ma$ $F_N-Mg = Ma$ $F_N = M~(g+a)$ $F_N = (64.2~kg)~(9.80~m/s^2 + 2.13~m/s^2)$ $F_N = 766~N$ The elevator floor pushes up on Yolanda with a force of $766~N$. By Newton's third law, Yolanda exerts a force of $766~N$ on the elevator floor.

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