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प्रश्न
What happens to the force between two objects, if the masses of both objects are doubled?
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उत्तर
If the masses of both the objects are doubled, then
F''' = `(G xx (2m_1) xx (2m_2))/R^2`
= `(4Gm_1m_2)/R^2`
= 4F
Thus, the gravitational force between the two objects becomes 4 times.
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संबंधित प्रश्न
Calculate the force of gravitation between the earth and the Sun, given that the mass of the earth = 6 × 1024 kg and of the Sun = 2 × 1030 kg. The average distance between the two is 1.5 × 1011 m.
Choose the correct alternative:
Acceleration due to gravity increases/decreases with increasing depth. (assume the earth to be a sphere of uniform density).
Inside a uniform spherical shell
(a) the gravitational potential is zero
(b) the gravitational field is zero
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(d) the gravitational field is same everywhere
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All objects in the universe attract each other along the line joining their________.
What do you mean by a gravitational constant?
Different points in earth are at slightly different distances from the sun and hence experience different forces due to gravitation. For a rigid body, we know that if various forces act at various points in it, the resultant motion is as if a net force acts on the c.m. (centre of mass) causing translation and a net torque at the c.m. causing rotation around an axis through the c.m. For the earth-sun system (approximating the earth as a uniform density sphere).
If the law of gravitation, instead of being inverse-square law, becomes an inverse-cube law- ______.
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- there will be no gravitational force inside a spherical shell of uniform density.
If three equal masses m are placed at the three vertices of an equilateral triangle of side 1/m then what force acts on a particle of mass 2m placed at the centroid?
Observe the figure and answer the questions:
- State Newton's universal law of gravitation.
- If the distance between the two bodies is tripled, how will the gravitational force between them change?
- What will happen to gravitational force, if mass of one of the object is doubled?
