Mass of earth

  


: edoubled, then "gubleled, theren 'g w

uld also be doubled.

In fact "G in the universal gravitation constant. So even if the value of g

changes, the value of 'G remains the same.

CHANGE IN MASS OF EARTH:

0.10: How can the value of 'g and 'G' be affected if mass of the earth

becomes four times?

GMeAns: Since g

RSO g oc Me.R

If mass of the earth becomes four times, the value of 'g' also becomes four times.

But the value of "G will remain the same, as it is a universal constant.

WEIGHT ON MOON:

Q.11: How would the weight of a body vary if it is taken from the earth to

the moon? What will be the effect on its mass?

Ans: If a body is taken form the earth to the moon, then its mass will not change.

However, its weight will decrease to one-sixth, as the acceleration due to gravity

on the moon, gm=6

[9/12, 5:45 PM] mama jan: .12: How would the weight of a body vary if it is taken to the center o-

earth?

Ans:he acceleration due to gravity below the earth's surface at depth d is gg

When depth, d = Re then g =0.

Thus if an object is taken to the center of the earth, its weight will be zero.

WEIGHT AT POLES&EQUATOR:

Q.13: How will the weight of a man be affected if the earth stopped rot

about its axis suddenly when he is () at the equator and (i) a

pole?

mvAns: For a rotating body of mass m, the apparent weight, w = mg-

r()if rotation of the eárth ceases, the weight of the man at equator will inc

slightly.

At the poles, no centripetal force acts on bodies (since v= 0). Hence the we

will not change.

(ii)WEIGHT OF A FREELY FALLING BODY:

114 What is the weight of a freely falling body.

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