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Q.

You buy a bag of sugar of weight W at a place on the equator. You take this bag to Antarctica (near the poles). In Antarctica, its weight will


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a

Does not change

b

Increase

c

Becrease

d

Vanish 

answer is B.

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Detailed Solution

You buy a bag of sugar of weight W at a place on the equator. You take this bag to Antarctica (near the poles). In Antarctica, its weight will increase.
The weight of a body at a place depends on the gravitational acceleration (g) at that place. Mathematically, gravitational acceleration on Earth is represented as g=GMR2
Where, G = Gravitational constant
M = Mass of Earth
r = Radius of Earth
Since Earth is not a perfect sphere, its radius is not constant. The radius at the poles is less than that at the equator. Therefore, by equation of gravitational acceleration on Earth, g at equator (ge) is less than g at poles (gp) . As weight (W) is the measure of gravitational force, it is a product of mass (m) and acceleration due to gravity (g). Therefore, W=m×g. As gp>ge, Wp>We. Thus, if a bag of sugar weighs W at a certain place on the equator is taken to Antarctica, then it will weigh more due to the larger value of g.
 
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