Advertisements
Advertisements
प्रश्न
How does the force of gravitation between two objects change when the distance between them is reduced to half?
Advertisements
उत्तर
We know that gravitational force between two objects (F) = GMmr2
Hence, F ∝ `1/r^2`
Where r represents the distance.
If the distance is halved, then r = `r/2`
F ∝ `1/(r/2)^2`
F ∝ `1/(r^2/4)`
F ∝ `4/r^2`
Hence, if the distance between two objects is halved, then the gravitational force between them will become 4 times.
APPEARS IN
संबंधित प्रश्न
What happens to the force between two objects, if the mass of one object is doubled?
A person brings a mass of 1 kg from infinity to a point A. Initially the mass was at rest but it moves at a speed of 2 m s −1 as it reaches A. The work done by the person on the mass is −3 J. The potential at A is
A person sitting in a chair in a satellite feels weightless because
Which of the following quantities remain constant in a planetary motion (consider elliptical orbits) as seen from the sun?
A solid sphere of mass m and radius r is placed inside a hollow thin spherical shell of mass M and radius R as shown in the following figure . A particle of mass m' is placed on the line joining the two centres at a distance x from the point of contact of the sphere and the shell. Find the magnitude of the resultant gravitational force on this particle due to the sphere and the shell if (a) r < x < 2r, (b) 2r < x < 2R and (c) x > 2R.
The mass of moon is about 0.012 times that of earth and its diameter is about 0.25 times that of earth. The value of G on the moon will be:
A ball is thrown vertically upwards. It goes to a height 20 m and then returns to the ground. Taking acceleration due to gravity g to be 10 ms-2 , find :
the total time of journey of the ball .
What does a force do in the following case?
You twist a piece of rubber.
Name and state the action and reaction in the following case:
A person walking on the ground.
Is there a gravitational attraction between you and the book? Explain.
