Advertisements
Advertisements
Question
Two spherical balls of mass 10 kg each are placed 10 cm apart. Find the gravitational force of attraction between them.
Advertisements
Solution
The gravitational force of attraction between the balls is given as by
\[F = \frac{G m_1 m_2}{r^2}\]
\[\text { Given } : m_1 = m_2 = 10 kg \text { and } r = 10 cm = 0 . 10 m\]
\[\therefore F = \frac{6 . 67 \times {10}^{- 11} \times 10 \times 10}{\left( 0 . 1 \right)^2}\]
\[ \Rightarrow F = 6 . 67 \times {10}^{- 7} N\]
APPEARS IN
RELATED QUESTIONS
State the universal law of gravitation. Name the scientist who gave this law.
State and explain Kepler's laws of planetary motion. Draw diagrams to illustrate these laws.
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
Four particles having masses m, 2m, 3m and 4m are placed at the four corners of a square of edge a. Find the gravitational force acting on a particle of mass m placed at the centre.
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.

Define one Newton. How much maximum acceleration can it produce in a mass of 1 kg?
Distinguish between gravity and gravitation
How will the force of gravitation between two objects change if the distance between them is:
Almost zero
The force of attraction between any two material objects is called __________.
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?
Explain why:
The atmosphere does not escape.
The distance-time values for an object moving along straight line are given below:
| Time (s) | Distance (m) |
| 0 | 0 |
| 1 | 1 |
| 2 | 8 |
| 3 | 27 |
Answer the following question.
What are the dimensions of the universal gravitational constant?
The gravitational force between two bodies is directly proportional to the product of the masses of those bodies and is _______ of the distance between them.
As observed from earth, the sun appears to move in an approximate circular orbit. For the motion of another planet like mercury as observed from earth, this would ______.
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).
Six point masses of mass m each are at the vertices of a regular hexagon of side l. Calculate the force on any of the masses.
Give scientific reasons for the following:
Newton's gravitational law is the universal law of gravitation.
