Question

a)At which point on the surface of earth does a body experience maximum weight?

b)At which point does the body experince zero weight?

C)Does the weight of an object increase or decrease as it moves from A to C?

d)What is the reason why the weight of objects vary in different places on the surface of the
earth why?​

Answer 1

Explanation:

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Answer 2

a)On the surface of earth, the body experiences maximum weight at the pole.

EXPLANATION:

In this question, the key concept that we need to take into consideration is that the acceleration due to gravity varies as the height from the center of the earth varies.

Mathematically, it is equivalent to  g′=g(1−2h/R)------(1) where g is the acceleration due to gravity at the center of the earth, R is the radius of earth, h is the height from the center of the earth.

Also, According to Newton's Second law: F=Mg' where F is the force of attraction, M is the Mass of the body.

⇒F∝g'

So greater the acceleration of gravity, greater the force and hence greater the weight.

Also note that the acceleration due to gravity varies according to lattitude, which is the angle between equitorial plane and the line joining the center of the earth.

Mathematically, g'=g-Rw²Cos²Ф where Ф is the Lattitude angle.

Therefore, g' is minimum at the equator (Ф=0⁰) and maximum at Poles (Ф=90⁰).

Hence body experiences maximum weight at the poles because F∝g' and g' is maximum at poles.

b) The body experience zero weight at the center of the earth.

EXPLANATION: Let the body be take d depth inside the earth.

Then accelration due to gravity is given by g'' where g''=g(1-d/R).

Now at the center of the earth d=R

⇒g''=0

⇒Force=Mg''=0

⇒At the center of earth, body experiences 0 weight.

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