Question

An experiment is done to observe the effect of gravity on the earth and the moon. An object is shifted to the surface of the moon in a mission launched by a space agency. Mass of the object on the surface of the earth is 50 kg. (Acceleration due to gravity on the surface of the earth, g = 10 m/s^2 )


(a) What is its weight on the earth?

(b) If the same object is shifted to the moon, will its mass be the same on the surface of the
moon?

(c) What is the weight of the object on the surface of the moon where acceleration due to
gravity is g/6?



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Answer 1

Given:

• mass of the object = m = 50kg
• gravity on earth = g = 10 m/s²

Solution

(a) What is its weight on the earth?

• Weight is the measure of force applied by the planet on object.
• It depends on the mass of the object and the pulling strength or the field strength of the planet.
• $\rm W_{earth} = mg_{earth}$
• W = 50 × 10 = 500 N

★ Weight of object on earth will be 500 N.

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(b) If the same object is shifted to the moon, will its mass be the same on the surface of the moon?

• Most important thing to note is , mass is the amount of matter or particles present in any object .
• Which is irrespective of any planet force, and it remains same in any condition( except nuclear reactions)

★ Mass will remain same if shifted to moon surface.

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(c) What is the weight of the object on the surface of the moon where acceleration due to gravity is g/6?

$\to\rm W_{moon} = mg_{moon}$

$\to\rm W_{moon} = m\bigg( \dfrac{g}{6}\bigg)$

$\to\rm W_{moon} = 50\bigg( \dfrac{10}{6}\bigg)$

$\to\rm W_{moon} = \dfrac{500}{6}$

$\to\bf W_{moon} = 83.33 \: N$

★ weight of object on moon is 83.33 N.

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