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If speed of rotation of the earth increases, weight of the body
B. remains unchanged
D. may decrease or increase
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Answer: Option C: Decreases.
Now as the earth rotates with more speed it is likely to produce more centrifugal force as per mv^2/r as v (velocity) will increase as stated. r (radius of earth) remains constant.
The centrifugal force tries to cancel out the gravity force (basic concept). The increase in centrifugal force will try to decrease weight of body which is essentially nothing but gravity’s effect on mass.
If you observe the same principle is used in satellites, as they rotate with certain speed they come under earth’s gravitation field or in other words they cancel out gravitation force which is trying to bring satellite on the earth.
Hence because of the centrifugal force the weight of the person will decrease.