Advertisements
Advertisements
प्रश्न
A thin spherical shell having uniform density is cut in two parts by a plane and kept separated as shown in the following figure. The point A is the centre of the plane section of the first part and B is the centre of the plane section of the second part. Show that the gravitational field at A due to the first part is equal in magnitude to the gravitational field at B due to the second part.
Advertisements
उत्तर
We know that in a thin spherical shell of uniform density, the gravitational field at its internal point is zero. So, at points A and B, the gravitational fields are equal and opposite and, thus, cancel each other. So the net field is zero.
Hence, EA = EB
APPEARS IN
संबंधित प्रश्न
Write the answer of the question with reference to laws of gravitation.
State the universal law of gravitation.
What happens to the force between two objects, if the mass of one object is doubled?
Choose the correct alternative:
Acceleration due to gravity increases/decreases with increasing altitude.
Can we apply Newton’s third law to the gravitational force ? Explain your answer.
Can two particles be in equilibrium under the action of their mutual gravitational force? Can three particles be? Can one of the three particles be?
Which of the following quantities remain constant in a planetary motion (consider elliptical orbits) as seen from the sun?
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.]
Explain the following:
People often shake the branches of a tree for getting down its fruits.
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 final velocity of the ball on reaching the ground .
How will the force of gravitation between two objects change if the distance between them is:
Almost zero
What does a force do in the following case?
You catch a kicked ball.
Name and state the action and reaction in the following case:
A book lying on a table.
Explain why:
The atmosphere does not escape.
State Newton's law of gravitation. What is the difference between:
g and G?
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 |
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.
State the universal law of gravitation and derive its mathematical expression.
For the weight of body of mass 5 kg to be zero on equator of the earth, angular velocity of the earth must be (The radius of earth = 6400 km, acceleration due to gravity = 10 m/s2).
Give scientific reasons for the following:
Newton's gravitational law is the universal law of gravitation.
Who measured the value of the Universal Gravitational Constant G using the Cavendish balance?
