If the earth Shrinks to 50%
of its real radius its
mass Remaing the same
weight of a body on
the earth will
Answers
Answer:
Your question is incomplete. A complete question is ---> If the earth shrinks half in radius its mass remaining the same, then by what % will the weight of the object on earth change?
A)decreases by 50% B)increases by 50% C)decreases by 25% D)increases by 300%
answer : option (D) increases by 300%
explanation : weight of the object is given by, W = mg, where g is acceleration due to gravity.
and we know as well, acceleration due to gravity is inversely proportional to r² [i.e., g = GM/r² ]
so, if earth shrinks to 50% of its real radius. acceleration due to gravity become 4 times of its initial value.
then, weight of object becomes 4 times. i.e. W' = 4mg
so, percentage increase = (4mg -mg)/mg × 100 = 300%
hence, option (D) is correct choice.
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Answer:
I don't know the answer...........................