   Chapter 4, Problem 33P

Chapter
Section
Textbook Problem

A 75-kg man standing on a scale in an elevator notes that as the elevator rises, the scale reads 825 N. What is the acceleration of the elevator?

To determine
The acceleration of the elevator.

Explanation

Given info: The mass of the man is 75.0 kg. The reading on the scale measuring the force is 825 N.

From Newton’s second law, the formula for acceleration is,

a=Fm

• m is the mass of the man.
• F is the total force on the man.

The total force on the man is given by,

F=Frmg

• Fr is the force reading on the scale.
• g is the acceleration due to gravity.

The total force includes the weight of the man. The difference is taken because the directions of the forces are opposite.

Substitute Frmg for F in the expression for acceleration.

a=Frmgm

Substitute 75

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