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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

Write the formula to find the magnitude of the gravitational force between the earth and an object on the surface of the earth.


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?


The gravitational intensity at the centre of a hemispherical shell of uniform mass density has the direction indicated by the arrow (see Fig 8.12) (i) a, (ii) b, (iii) c, (iv) 0.


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?


Can you think of two particles which do not exert gravitational force on each other?


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 of equal masses M move along a circle of radius R under the action of their mutual gravitational attraction. Find the speed of each particle.


Two concentric spherical shells have masses M1, M2 and radii R1, R2 (R1 < R2). What is the force exerted by this system on a particle of mass m1 if it is placed at a distance (R1+ R2)/2 from the centre?


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 final velocity of the ball on reaching the ground .


Multiple Choice Question. Select the correct option.

The mass of earth is 6 × 1024 kg and radius of earth is 6.4 × 106 m. The magnitude of force between the mass of 1 kg and the earth is:


Distinguish between gravity and gravitation


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


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.


A force can produce ________, In an object at rest. It can __________ an object and change its __________ of motion.


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 ________.


Is there a gravitational attraction between you and the book? Explain.


State Newton's law of gravitation. What is the difference between:
g and G?


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.


Show that gravity decreases at higher altitudes.


We can shield a charge from electric fields by putting it inside a hollow conductor. Can we shield a body from the gravitational influence of nearby matter by putting it inside a hollow sphere or by some other means?


Give scientific reasons for the following:

Newton's gravitational law is the universal law of gravitation.


Write the answer of the question with reference to laws of gravitation.

Write the value of the universal gravitational constant.


Answer the following questions in reference to the figure below:

  1. Which relation is shown in the figure?
  2. What will happen if the mass of one of the objects is doubled?

Newton's universal law of gravitation applies to ______.


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


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