Advertisements
Advertisements
प्रश्न
Show that gravity decreases at higher altitudes.
Advertisements
उत्तर
We know that the law of gravitation is
F = G ( m1 x m2)/R2
Here the F is the force due to attraction and this force is equal to the weight of the body m2g.
So m2g = G ( m1 x m2)/R2
g= (G x m2)/R2.
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 m2)/( R + H)2.
As denominator increases so g’ would be less than g and hence we can say that gravity decreases at higher altitudes.
APPEARS IN
संबंधित प्रश्न
What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 × 1024 kg and radius of the earth is 6.4 × 106 m).
Inside a uniform spherical shell
(a) the gravitational potential is zero
(b) the gravitational field is zero
(c) the gravitational potential is same everywhere
(d) the gravitational field is same everywhere
A thin spherical shell having uniform density is cut in two parts by a plane and kept separated as shown in the following figure. The point A is the centre of the plane section of the first part and B is the centre of the plane section of the second part. Show that the gravitational field at A due to the first part is equal in magnitude to the gravitational field at B due to the second part.
How will the force of gravitation between two objects change if the distance between them is:
Made four times
A ball is thrown up with a speed of 4.9 ms-1.
Calculate the time it takes to reach this height.
A ball is thrown up with a speed of 4.9 ms-1.
Prove that the time of ascent is equal to the time of descent.
Gravity is another kind of ________. It exerts all through the ________. The Sun's gravity keeps the ___________ in their orbits. Gravity can only be felt with very large ________.
To project the rockets which of the following principle(s) is /(are) required?
Give the applications of universal law gravitation.
If the distance between two objects is doubled, the gravitational force becomes ______.
