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महाराष्ट्र राज्य शिक्षण मंडळएस.एस.सी (इंग्रजी माध्यम) इयत्ता १० वी

Mahendra and Virat are sitting at a distance of 1 m 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) - Science and Technology 1

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प्रश्न

Mahendra and Virat are sitting at a distance of 1 m 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)

थोडक्यात उत्तर
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उत्तर

Given: Distance (r) = 1 m, mass (m1) = 75 kg, mass (m2) = 80 kg, gravitational constant (G) = 6.67 × 10-11 Nm2/kg

To find: Gravitational force (F)

Formula: F = `("Gm"_1"m"_2)/"r"^2`

Calculation: From formula,

F = `(6.67 xx 10^-11 xx 75 xx 80)/1^2`

∴ F = 4.002 × 10-7 N

The gravitational force between Mahendra and Virat is 4.002 × 10-7 N.

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पाठ 1: Gravitation - Solve the following Questions

संबंधित प्रश्‍न

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

State the universal law of gravitation.


Choose the correct alternative:

 Acceleration due to gravity increases/decreases with increasing altitude.


State and explain Kepler's laws of planetary motion. Draw diagrams to illustrate these laws.


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?


The weight of an object is more at the poles than at the equator. Is it beneficial to purchase goods at equator and sell them at the pole? Does it matter whether a spring balance is used or an equal-beam balance is used?


A person brings a mass of 1 kg from infinity to a point A. Initially the mass was at rest but it moves at a speed of 2 m s −1 as it reaches A. The work done by the person on the mass is −3 J. The potential at A is


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 .


Is the law of gravitation applicable in case of the sun and the moon?


Name and state the action and reaction in the following case:
A person walking on the ground.


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.


Solve the following problem.

Calculate the acceleration due to gravity at a height of 300 km from the surface of the Earth. (M = 5.98 × 1024 kg, R = 6400 km).


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


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


State the universal law of gravitation and derive its mathematical expression.


As observed from earth, the sun appears to move in an approximate circular orbit. For the motion of another planet like mercury as observed from earth, this would ______.


If the law of gravitation, instead of being inverse-square law, becomes an inverse-cube law- ______.

  1. planets will not have elliptic orbits.
  2. circular orbits of planets is not possible.
  3. projectile motion of a stone thrown by hand on the surface of the earth will be approximately parabolic.
  4. there will be no gravitational force inside a spherical shell of uniform density.

Give scientific reasons for the following:

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


Newton's universal law of gravitation applies to ______.


Observe the figure and answer the questions:

  1. State Newton's universal law of gravitation.
  2. If the distance between the two bodies is tripled, how will the gravitational force between them change?
  3. What will happen to gravitational force, if mass of one of the object is doubled?

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