Amit buys few grams of gold at the poles as per the instruction of one of his friends. He hands over the same when he meets him at the equator. Will the friend agree with the weight of gold bought? If not, why? [Hint: The value of $g$ is greater at the poles than at the equator.]
Given:
Amit buys a few grams of gold at the poles as per the instruction of one of his friends. He hands over the same when he meets him at the equator.
To do:
To know whether his friend will agree with the weight of gold bought or not.
Solution:
To know whether his friend would agree with the weight of gold, let's find out if the weight of an object varies from place to place:
Weight varies from place to place:
This is because the weight of the object depends on gravitational accelerationg$(g)$.
The formula for weight is:
$\boxed{W=mg}$
From the above formula, it is clear that the weight of any object is directly proportional to gravitational acceleration.
$W\propto g$
The higher the value of $g$, the higher the weight of the object.
Value of gravitational acceleration$(g)$ at the poles and equator:
The value of $g$ is greater at the poles than at the equator.
Conclusion:
Based on the above discussion we can conclude that the weight of an object is variable from place to place. The weight of an object at the poles will be greater than the weight of the object at the equator.
So, his friend will not agree with the weight of gold bought at the poles if the same gold is handed over at the equator.
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