Question
Show that gravity decreases at higher altitudes.
✓
Answer
We know that the law of gravitation is
$F = G ( m_1 x m_2)/R^2$
Here the F is the force due to attraction and this force is equal to the weight of the body $m_2g.$
So$ m_2g = G ( m_1 x m_2)/R^2$
$g= (G x m_2)/R^2.$
Here R is the distance between the earth centre and the object centre. Now if we go on higher altitude say ‘H’ then this R would increase to (R + H)
And the value of gravity at height H becomes
$g’= (G x m_2)/( R + H)^2.$
As denominator increases so g’ would be less than g and hence we can say that gravity decreases at higher altitudes.
$F = G ( m_1 x m_2)/R^2$
Here the F is the force due to attraction and this force is equal to the weight of the body $m_2g.$
So$ m_2g = G ( m_1 x m_2)/R^2$
$g= (G x m_2)/R^2.$
Here R is the distance between the earth centre and the object centre. Now if we go on higher altitude say ‘H’ then this R would increase to (R + H)
And the value of gravity at height H becomes
$g’= (G x m_2)/( R + H)^2.$
As denominator increases so g’ would be less than g and hence we can say that gravity decreases at higher altitudes.
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