Show that weight of an object on the moon is 1/6 of its weight on the earth
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Hello Mate!
Since we know that, F = GMm/R² ( Earth )
F' = GM'm/R'² ( Moon )
Now, F' / F = [ GM'm/R'² ] / [ GMm/R² ]
F' / F = GM'm/R'² × R²/GM'm
Here m ( mass of object will cancel out since mass is every where same ).
F' / F = M'/R'² × R²/M
F' / F = ( M'/M ) × ( R²/R )
Now we know that mass of moon is 1/100 than that of earth. Where radius of earth is 16 times more than radius of moon.
F' / F = 1/100 × 16
F' / F = 16/100
F' / F ~ 1 / 6
F' ~ 1 F / 6
Weight in moon is similar to 1/6th weight of an object on earth.
Have great future ahead!
Since we know that, F = GMm/R² ( Earth )
F' = GM'm/R'² ( Moon )
Now, F' / F = [ GM'm/R'² ] / [ GMm/R² ]
F' / F = GM'm/R'² × R²/GM'm
Here m ( mass of object will cancel out since mass is every where same ).
F' / F = M'/R'² × R²/M
F' / F = ( M'/M ) × ( R²/R )
Now we know that mass of moon is 1/100 than that of earth. Where radius of earth is 16 times more than radius of moon.
F' / F = 1/100 × 16
F' / F = 16/100
F' / F ~ 1 / 6
F' ~ 1 F / 6
Weight in moon is similar to 1/6th weight of an object on earth.
Have great future ahead!
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