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Physics / Physics with MasteringPhysics 4 / Chapter 5 / Problem 40P

Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker

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QUESTION:

As part of a physics experiment, you stand on a bathroom scale in an elevator. Though your normal weight is 610 N, the scale at the moment reads 730 N. (a) Is the acceleration of the elevator upward, downward, or zero? Explain. (b) Calculate the magnitude of the elevator's acceleration. (c) What, if anything, can you say about the velocity of the elevator? Explain.

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QUESTION:

As part of a physics experiment, you stand on a bathroom scale in an elevator. Though your normal weight is 610 N, the scale at the moment reads 730 N. (a) Is the acceleration of the elevator upward, downward, or zero? Explain. (b) Calculate the magnitude of the elevator's acceleration. (c) What, if anything, can you say about the velocity of the elevator? Explain.

ANSWER:

a.)

Step 1 of 3

We have to find the acceleration of an elevator is upward, downward or zero.

The acceleration of the elevator can be found by using the equation

${W}_{a}=W+ma$

Where,

${W}_{a}=$ apparent weight= 730 N

$W=$ normal weight =610 N

$a=$ acceleration of the elevator in ms2

$m=$ mass of the person in kg

Thus,

$a=$ $\frac{{W}_{a}-\ W}{m}$

Since, ${W}_{a}>W$

$\Rightarrow{}$ $a>0$

Hence, the acceleration is upward.

Therefore, the acceleration of the elevator is upward.

b.)

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