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Chapter 6: Problem 694

If mass of a body is \(\mathrm{M}\) on the earth surface, than the mass of the same body on the moon surface is (A) \(\mathrm{M} / 6\) (B) 56 (C) \(\mathrm{M}\) (D) None of these

Short Answer

Expert verified
The mass of a body remains constant regardless of its location. Hence, if the mass of a body on Earth is \(\mathrm{M}\), its mass on the Moon's surface would also be \(\mathrm{M}\). So, the correct answer is (C) \(\mathrm{M}\).

Step by step solution

01

Recall the Concepts of Mass and Weight

Mass is a scalar quantity that measures the amount of matter present in a body, whereas weight is a vector quantity, indicating the force with which the body is attracted towards the center of the Earth (or any celestial body) due to gravity. The mass of an object remains constant regardless of where it is located, while its weight will change depending on the gravity of the celestial body it's located on.
02

Identify Mass on Earth and Moon

Given the mass of a body on the Earth's surface is represented by M, we need to find the mass of the same body on the Moon's surface. When a body is moved from one celestial object (like Earth) to another (like the Moon), it's important to remember that the body's mass remains unchanged. Although the body's weight may change, its mass, or the amount of matter within it, does not change.
03

Select the Correct Option

Since the mass of an object does not change based on its location, we can conclude that the mass of the body on the Moon's surface would also be M. So, the correct answer is: (C) \(\mathrm{M}\)

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