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What do you mean by a gravitational constant?

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प्रश्न

What do you mean by a gravitational constant?

लघु उत्तर
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उत्तर

  1. From Newton’s law of gravitation,
    F = G`("m"_1"m"_2)/"r"^2`
    where, G = constant called universal gravitational constant. Its value is 6.67 × 10-11 N m2/kg2.
  2. G = `"Fr"^2/("m"_1"m"_2)`
    If m1 = m2 = 1 kg, r = 1 m then F = G.
    Hence, the universal gravitational constant is the force of gravitation between two particles of unit mass separated by unit distance.
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पाठ 5: Gravitation - Exercises [पृष्ठ ९७]

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बालभारती Physics [English] Standard 11 Maharashtra State Board
पाठ 5 Gravitation
Exercises | Q 2. (xiii). i. | पृष्ठ ९७

संबंधित प्रश्‍न

What is the magnitude of the gravitational force between the earth and a 1 kg object on its surface? (Mass of the earth is 6 × 1024 kg and radius of the earth is 6.4 × 106 m).


The earth and the moon are attracted to each other by gravitational force. Does the earth attract the moon with a force that is greater or smaller or the same as the force with which the moon attracts the earth? Why?


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 depth. (assume the earth to be a sphere of uniform density).


State two applications of universal law of gravitation.


State the universal law of gravitation. Name the scientist who gave this law.


Three equal masses m are placed at the three corners of an equilateral triangle of side a. Find the force exerted by this system on another particle of mass m placed at (a) the mid-point of a side, (b) at the centre of the triangle.


State whether the gravitational force between two masses is attractive or repulsive ?  


Distinguish between gravity and gravitation


How will the force of gravitation between two objects change if the distance between them is:
Infinite


A ball is thrown up with a speed of 4.9 ms-1.
Prove that the time of ascent is equal to the time of descent.


You can change the direction in which an object is moving by___________.


Two equal and opposite forces acting at the same point on a stationary body. Will the body move? Give reason to explain your answer.


Gravity is another kind of ________. It exerts all through the ________. The Sun's gravity keeps the ___________ in their orbits. Gravity can only be felt with very large ________.


Does the force of the earth's gravitation affect the motion of the moon? Explain your answer with reasons.


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.


Solve the following problem.

Find the gravitational force between the Sun and the Earth.
Given Mass of the Sun = 1.99 × 1030 kg
Mass of the Earth = 5.98 × 1024 kg
The average distance between the Earth and the Sun = 1.5 × 1011 m.


Mahendra and Virat are sitting at a distance of 1m from each other. Their masses are 75 kg and 80 kg respectively. What is the gravitational force between them? (G = 6.67 × 10−11 Nm2/kg2)


To project the rockets which of the following principle(s) is /(are) required?


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).


Choose the wrong option.


Shown are several curves (Figure). Explain with reason, which ones amongst them can be possible trajectories traced by a projectile (neglect air friction).


Two particles of equal mass 'm' go around a circle of radius R under the action of their mutual gravitational attraction. The speed of each particle with respect to its centre of mass is ______.


If the mass of one object is doubled and distance remains the same, the gravitational force will ______.


The acceleration of the Moon towards the Earth is approximately ______.


If the distance between two objects is doubled, the gravitational force becomes ______.


A hollow spherical shell of uniform density exerts what gravitational force on a point mass placed inside it?


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