Answer in detail (hint: gravitation f=GMm/r^2. g=Gm/r^2
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Given:-
•Weight of a body on earth(W'e')=16N
To find:-
•Weight of the body on the moon(W'm')
Solution:-
We know that weight of body on the surface of moon is 1/6th of weight of a body on the surface of earth.
Thus----
=>W'm'=1/6 of W'e'
=>1/6×16
=>2.67N
Thus,weight of the body on the surface of moon is 2.67N.
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Answer:
the required answer is option c ....2.67 N
INFORMATION:
- weight is the measure of the gravitational force acting on the body.
- here the term weight refers to the force
GIVEN:
weight of the body on the earth=force=16N
TO FIND:
the weight of body on the surface of the moon
FORMULAE:
f=GMm/r^2
g=GM/r^2
KEYS:
- F=gravitational force on earth
- F'= gravitational force on moon
- g= acceleration due to gravity on Earth
- g'= acceleration due to gravity on moon
- G= universal gravitational constant
- M= mass of the planet
- m= mass of object
- r= radius of the planet
POINT TO REMEMBER:
- acceleration due to gravity on the surface of moon is one sixth of the acceleration due to gravity on the surface of the earth.
- so the force acting on body on the moon will also be one sixth that of the earth
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