Question

3) Show that weight of an object on the moon in equal to the 1/6 times the weight of an object on earth? 3
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Answer 1

Answer:

Weight of an object on the moon

Explanation:

Gravitation. Show that weight of an object on the moon is 1/6 th its weight on the earth. Given that the mass of the earth is 100 times the mass of the moon and its radius is 4 times that of the moon.

Answer 2

Answer:

The force acting on a particle by the planet is it's weight.  

So, The force of attraction between Earth and the object is the weight of it on earth.  

Let W be the weight of the object on Earth.  

So,    

We know that,  

Mass of earth ≈ 5.98 * 10^24Kg

Radius of earth ≈ 6.37 * 10^6m.  

The equation becomes,

W = G(5.98 * 10^24) *m / (6.37 * 10^6)²  

Consider w is the weight of the object on moon.  

So,  

We know that,

Mass of the moon ≈ 7.36 * 10^22 Kg

Radius of moon ≈ 1.74 * 10^6 m.  

So, w = G(7.36 * 10^22)m / (1.74 * 10^4)²  

Taking ratio of W & w.    

= ( 1.474 * 10^11) / 2.431 * 10^10  

≈ 6 .  

So, W = 6w  

w = 1/6 W.  

Therefore , Weight of an object on the moon is 1/6 of its weight on the earth.