Advertisements
Advertisements
प्रश्न
State Newton’s universal law of gravitation. Express it with the mathematical form of force of gravitation?
Advertisements
उत्तर
- Gravitational force between two bodies in the universe is directly proportional to the product of their masses and inversely proportional to the square of the distance between them.
- The mathematical equation for the law is given as, F = G`("m"_1"m"_2)/"r"^2` where G is universal gravitational constant, m1 and m2 are masses and r is the distance between two masses.
APPEARS IN
संबंधित प्रश्न
Answer the following:
You can shield a charge from electrical forces by putting it inside a hollow conductor. Can you shield a body from the gravitational influence of nearby matter by putting it inside a hollow sphere or by some other means?
Answer the following:
An astronaut inside a small space ship orbiting around the earth cannot detect gravity. If the space station orbiting around the earth has a large size, can he hope to detect gravity?
Choose the correct alternative:
Acceleration due to gravity increases/decreases with increasing altitude.
Choose the correct alternative:
Acceleration due to gravity increases/decreases with increasing depth. (assume the earth to be a sphere of uniform density).
Which of the Kepler’s laws of planetary motion led Newton to establish the inverse-square rule for gravitational force between two bodies ?
Write the three laws given by Kepler. How did they help Newton to arrive at the inverse square law of gravity?
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
The gravitational field in a region is given by \[E = \left( 2 \overrightarrow{i} + 3 \overrightarrow{j} \right) N {kg}^{- 1}\] . Show that no work is done by the gravitational field when a particle is moved on the line 3y + 2x = 5.
[Hint : If a line y = mx + c makes angle θ with the X-axis, m = tan θ.]
State whether the gravitational force between two masses is attractive or repulsive ?
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 .
Who stated the law of gravitation?
What does a force do in the following case?
You pull the skin of your arm
Two equal and opposite forces acting at the same point on a stationary body. Will the body move? Give reason to explain your answer.
An apple falls towards the earth due to its gravitational force. The apple also attracts the earth with the same force. Why do we not see the earth rising towards the apple? Explain.
To project the rockets which of the following principle(s) is /(are) required?
The force of gravitation between two bodies of mass 1 kg each separated by a distance of 1 m in vacuum is ____________.
The gravitational force between a hollow spherical shell (of radius R and uniform density) and a point mass is F. Show the nature of F vs r graph where r is the distance of the point from the centre of the hollow spherical shell of uniform density.
Find the gravitational force of attraction between the ring and sphere as shown in the diagram, where the plane of the ring is perpendicular to the line joining the centres. If `sqrt8` R is the distance between the centres of a ring (of mass 'm')and a sphere (mass 'M') where both have equal radius 'R'.
