On earth the weight of a boy is 30 kgf. What will be his weight on moon ? Give your ans. in S.I unit.
Answers
Answer :-
Weight of the boy on moon will be 49 Newtons .
Explanation :-
We have (for earth) :-
→ Weight of the boy = 30 kgf
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We have to calculate the weight of the boy on moon in S.I. unit . (in Newtons)
So firstly, let's convert the given weight of the boy on earth from "kilograms-force" (kgf) to "Newtons" (N) :-
⇒ 1 kgf = 9.8 N
⇒ 30 kgf = 30(9.8) N
⇒ 294 N
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We know that weight of an object on moon is 1/6th of it's weight on earth. So, we have :-
Wₘ = Wₑ/6
⇒ Wₘ = 294/6
⇒ Wₘ = 49 N
Given :-
Weight of a boy in kgf = 30
To Find :-
Weight on moon
Solution :-
We know that
1 N = 1/9.8 kgf
And
1 kgf = 9.8 N
30 kgf = 9.8 × 30
30 kgf = 98/10 × 30
30 kgf = 98 × 3
30 kgf = 294 N
Now
Weight on Earth = 6 × Weight on moon
294 = 6 × Weight on moon
294/6 = Weight on moon
49 = Weight on moon