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What do you mean by a gravitational constant? - Physics

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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 importance of the universal law of gravitation?


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State Kepler’s law which is represented by the relation r3 ∝ T2.


State two applications of universal law of gravitation.


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?


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


Let V and E be the gravitational potential and gravitational field at a distance r from the centre of a uniform spherical shell. Consider the following two statements :

(A) The plot of V against r is discontinuous.
(B) The plot of E against r is discontinuous.


A body is suspended from a spring balance kept in a satellite. The reading of the balance is W1 when the satellite goes in an orbit of radius R and is W2 when it goes in an orbit of radius 2 −R.


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.


Derive an expression for the gravitational field due to a uniform rod of length L and mass M at a point on its perpendicular bisector at a distance d from the centre.


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.]


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You apply brakes to a running car.


What does a force do in the following case?
You catch a kicked ball.


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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.


The value of universal gravitational constant (G) in the SI unit is ______.


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F(N) M1(kg) M2(kg) D(m)
(a) 50 84 02
16 × 109 1.63 × 1022 (b) 34

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?

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Observe the figure and answer the questions:

  1. State Newton's universal law of gravitation.
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