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Physics Part-I

Gravitation

Two heavy spheres each of mass 100 kg and radius 0.10 m are pl

Physics Part-I

Class 11

NCERT

Chapter 1: Physical World

16 questions

Chapter 2: Units and Measurements

51 questions

Chapter 3: Motion in Straight Line

50 questions

Chapter 4: Motion in a Plane

43 questions

Chapter 5: Laws of motion

52 questions

Chapter 6: Work, Energy and Power

41 questions

Chapter 7: System of Particles and Rotational Motion

45 questions

Chapter 8: Gravitation

33 questions

Two stars each of one solar mass

(= 2 \times 1 0^{30} k g)

are approaching each other for a head on collision. When they are a distance

1 0^{9} km

, their speeds are negligible. What is the speed with which they collide ? The radius of each star is

1 0^{4} km

. Assume the stars to remain undistorted until they collide. (Use the known value of G).

Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centres of the spheres ? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable ?

As you have learnt in the text, a geostationary satellite orbits the earth at a height of nearly 36,000 km from the surface of the earth. What is the potential due to earth's gravity at the site of this satellite ? (Take the potential energy at infinity to be zero). Mass of the earth =

6.0 \times 1 0^{24} k g

, radius = 6400 km.

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Solving time: 2 mins

Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centres of the spheres ? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable ?

Name: Video solution 1: [Solved] Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centres of the spheres ? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable ? - Physics Part-I
Uploaded: 2022-12-01T16:10:38.000Z
Duration: 6 min
Description: Video solution 1: [Solved] Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centres of the spheres ? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable ? - Physics Part-I

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Physics Part-I (NCERT)

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Text solutionVerified

The gravitational field at the mid-point of the line joining the centers of the two spheres

= \frac{GM}{( r /2 ) ^{2}} - \frac{GM}{( r /2 ) ^{2}} = 0 N

Gravitational potential at the midpoint of the line joining the centres of the two spheres is

V = - \frac{GM}{r /2} - \frac{GM}{r /2} = - \frac{4 GM}{r}

V = - \frac{4 \times 6.67 \times 1 0 ^{- 11} \times 100}{0.1}

= - 2.68 \times 1 0^{- 7} J / k g

As the effective force on the body placed at mid-point is zero, so the body is in equilibrium. If the body is displaced a little towards either mass body from its equilibrium position, it will not return back to its initial position of equilibrium. Hence, the body is in an unstable equilibrium.

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Practice more questions from Physics Part-I (NCERT)

Two stars each of one solar mass

(= 2 \times 1 0^{30} k g)

are approaching each other for a head on collision. When they are a distance

1 0^{9} km

, their speeds are negligible. What is the speed with which they collide ? The radius of each star is

1 0^{4} km

. Assume the stars to remain undistorted until they collide. (Use the known value of G).

6.0 \times 1 0^{24} k g

, radius = 6400 km.

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Question Text	Two heavy spheres each of mass 100 kg and radius 0.10 m are placed 1.0 m apart on a horizontal table. What is the gravitational force and potential at the mid point of the line joining the centres of the spheres ? Is an object placed at that point in equilibrium? If so, is the equilibrium stable or unstable ?
Updated On	Dec 1, 2022
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	126
Avg. Video Duration	6 min

Text solutionVerified

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