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Physics for Scientists and Engineers: A Strategic Approach with Modern Physics | 3rd Edition | ISBN: 9780321740908 | Authors: Randall D. Knight
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Are the following statements true or false? Explain.a. The

Chapter 6, Problem 7CQ

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QUESTION:

Problem 7CQ

Are the following statements true or false? Explain.

a. The mass of an object depends on its location.

b. The weight of an object depends on its location.

c. Mass and weight describe the same thing in different units.

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QUESTION:

Problem 7CQ

Are the following statements true or false? Explain.

a. The mass of an object depends on its location.

b. The weight of an object depends on its location.

c. Mass and weight describe the same thing in different units.

ANSWER:

Step 1 of 3

(a)

False, the mass of an object does not depend on location. From Newton’s second law, the mass of an object is given by,

                                 

Where F is the force (gravitational), m is mass and a is acceleration due to gravity.

As location of the object changes, the change effect of force is cancelled by the change effect of acceleration. Hence , the mass of the object remains same at all locations.

Example: Mass of the object is same, irrespective whether it is on surface of moon or earth.

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