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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