Advertisements
Advertisements
Question
How will the force of gravitation between two objects change if the distance between them is:
Doubled
Solution
We know that law of gravitation.
F = G ( m1 X m2)/R2.
If distance between them is doubled then put R = 2R.
F = G( m1 X m2)/ 4R2.
F1 = F/4.
APPEARS IN
RELATED QUESTIONS
A rocket is fired from the earth towards the sun. At what distance from the earth’s centre is the gravitational force on the rocket zero? Mass of the sun = 2 ×1030 kg, mass of the earth = 6 × 1024 kg. Neglect the effect of other planets etc. (orbital radius = 1.5 × 1011 m).
Which of the Kepler’s laws of planetary motion led Newton to establish the inverse-square rule for gravitational force between two bodies ?
Can we apply Newton’s third law to the gravitational force ? Explain your answer.
Write the three laws given by Kepler. How did they help Newton to arrive at the inverse square law of gravity?
Is the law of gravitation applicable in case of the sun and the moon?
Where will you weigh more: at the centre of the earth or at the surface of the earth?
Name and state the action and reaction in the following case:
A book lying on a table.
Is there a gravitational attraction between you and the book? Explain.
Answer the following question.
What are the dimensions of the universal 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).
