What is the relation between the weight of an object on the moon and that on the earth?

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Solution

By using formula, F = ${\frac{G M m}{d}}^{2}$

The mass of the moon is $\frac{1}{100}$ times and its radius $\frac{1}{4}$ times that of the earth. As a result, the gravitational attraction on the moon is about one sixth when compared to that on the earth. Hence, the weight of an object on the moon is $\frac{1}{6}$ th of the weight on the earth.

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Q. Objects on the moon weigh 1/6 of the weight on earth. Hence, the weight of an object on earth is that on the moon.

Question 95

The weight of an object on Moon is $\frac{1}{6}$ of its weight on Earth. If an object weighs $5 \frac{3}{5}$ kg on Earth. How much would it weigh on the Moon?

Q. Weight of an object on Earth varies directly as the weight of the same object on the Moon. An object weighing 300 lbs on Earth weighs 48 lbs on the Moon. If an object weighs 65 lbs on Earth, then it will weigh lbs on Moon.

Q. The mass and weight of an object an earth are

5 k g

and

49 N

respectively. What will be their values on the moon? Assume that the acceleration due to gravity on the moon is

1 / 6 t h

of that on the earth.

Q. Fill in the following blanks with suitable words :
(a) The acceleration due to gravity on the moon is about ___________ of that on the earth.
(b) In order to the force of gravitation between two bodies to become noticeable and cause motion, one of the bodies must have an extremely large ___________.
(c) The weight of an object on earth is about ___________ its weight on the moon.
(d) The weight of an object on the moon is about ___________ of its weight on the earth.
(e) The value of g on the earth is about ___________ of that on the moon.
(f) If the weight of a body is 6N on the moon, it will be about ___________ on the earth.

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What is the relation between the weight of an object on the moon and that on the earth?

By using formula, F = GMmd2 The mass of the moon is 1100 times and its radius 14 times that of the earth. As a result, the gravitational attraction on the moon is about one sixth when compared to that on the earth. Hence, the weight of an object on the moon is 16 th of the weight on the earth.