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Unreasonable Results A 75.0-kg man stands on a bathroom

Chapter 4, Problem 51

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QUESTION:

Problem 51PE

Unreasonable Results A 75.0-kg man stands on a bathroom scale in an elevator that accelerates from rest to 30.0 m/s in 2.00 s. (a) Calculate the scale reading in newtons and compare it with his weight. (The scale exerts an upward force on him equal to its reading.) (b) What is unreasonable about the result? (c) Which premise is unreasonable, or which premises are inconsistent?

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QUESTION:

Problem 51PE

Unreasonable Results A 75.0-kg man stands on a bathroom scale in an elevator that accelerates from rest to 30.0 m/s in 2.00 s. (a) Calculate the scale reading in newtons and compare it with his weight. (The scale exerts an upward force on him equal to its reading.) (b) What is unreasonable about the result? (c) Which premise is unreasonable, or which premises are inconsistent?

ANSWER:

Solution

Step 1 of Step 4

We have to calculate the scale reading of a man standing on the bathroom and compare it with his weight. The free body diagram of this problem is given below.

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