A body weighs $20 kg$ on the surface of the earth. What would be its mass and weight at the centre of the earth?

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Mass = 20 kg, weight = 20 kg wt

Mass = 20 kg, weight = 20 N

Mass = weight = 20 kg wt

Mass = 20 kg, weight = 0

answer is D.

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Detailed Solution

Mass will remain at

20 kg

while the weight of the body will be zero at the center of the earth.
Every matter consists of mass and mass remains constant everywhere. Weight is a type of gravitational force. Weight is a force that acts on all the objects on the earth. Weight depends upon the mass and acceleration due to gravity.

Weight = mass (m) \times acceleration due to gravity (g)

At the center of the earth,

g = 0

So, the weight will be
⇨

Weight = mass \times 0

⇨

Weight = 0

So, the weight will be zero at the center of the earth. Because acceleration due to gravity (g) is zero at the surface. The objects are said to be in the state of free fall and when a body falls freely under the effect of gravity a uniform acceleration is produced in the body, this acceleration is known as acceleration due to gravity.

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