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Concepts of Physics

A particle is kept at rest at a distance R (earth's radius) ab

Concepts of Physics by H. C. Verma

Concepts of Physics

Class 11

HC Verma Part I

Chapter 1: Introduction to Physics

35 questions

Chapter 2: Physics and Mathematics

60 questions

Chapter 3: Rest and Motion: Kinematics

88 questions

Chapter 4: The Forces

33 questions

Chapter 5: Newton's Law of Motion

82 questions

Chapter 6: Friction

57 questions

Chapter 7: Circular Motion

63 questions

Chapter 8: Work and Energy

101 questions

Chapter 9: Centre of Mass, Linear momentum Collision

119 questions

Chapter 10: Rotational Mechanics

149 questions

Chapter 11: Gravitation

80 questions

The kinetic energy needed to project a body of mass m from the earth' surface to infinity is ?

A particle is kept at rest at a distance R (earth's radius) above the earth's surface. The minimum speed with which it should be projected so that it does not return is ?

A satellite is orbiting the earth close to its surface. A particle is to be projected from the satellite to just escape from the earth. The escape speed from the earth is ve. Its speed with respect to the satellite

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Chapter 12: Simple Harmonic Motion

111 questions

Chapter 13: Fluid Mechanics

81 questions

Chapter 14: Some Mechanical Properties of Matter

87 questions

Chapter 15: Wave Motion and Waves on a String

96 questions

Chapter 16: Sound Waves

118 questions

Chapter 17: Light Waves

79 questions

Chapter 18: Geometrical optics

123 questions

Chapter 19: Optical Instruments

52 questions

Chapter 20: Dispersion and Spectra

27 questions

Chapter 21: Speed of Light

14 questions

Chapter 22: Photometry

38 questions

Question

Medium

Solving time: 2 mins

A particle is kept at rest at a distance R (earth's radius) above the earth's surface. The minimum speed with which it should be projected so that it does not return is ?

A

\frac{GM}{4 R}

B

\frac{GM}{2 R}

C

\frac{GM}{R}

D

\frac{2 GM}{R}

Views: 6,190 students

Updated on: Mar 24, 2023

Book:

Concepts of Physics (HC Verma Part I)

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A particle is kept at rest at a distance R (earth's radius) above the earth's surface. The minimum speed with which it should be projected so that it does not return is ?

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Text solutionVerified

(c)

\frac{GM}{R}

Potential energy of the particle at a distance R from the surface of the Earth is

(P . E .)_{i} = \frac{GM m}{( R + R )} = \frac{1}{2} \frac{GM m}{R}

Here, M is the mass of the earth; R is the radius of the earth and m is the mass of the body.

Let the particle be projected with speed v so that it just escapes the gravitational pull of the earth.So, kinetic energy of the body =

-

[change in the potential energy of the body]

Now, kinetic energy of the body =

-

[final potential energy

-

initial potential energy]

\Rightarrow \frac{1}{2} m v^{2} = - [\frac{GM m}{\infty} - \frac{GM m}{2 R}]

\Rightarrow v = \frac{GM m}{R}

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Practice more questions from Concepts of Physics (HC Verma Part I)

The kinetic energy needed to project a body of mass m from the earth' surface to infinity is ?

A particle is kept at rest at a distance R (earth's radius) above the earth's surface. The minimum speed with which it should be projected so that it does not return is ?

A satellite is orbiting the earth close to its surface. A particle is to be projected from the satellite to just escape from the earth. The escape speed from the earth is ve. Its speed with respect to the satellite

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Question Text	A particle is kept at rest at a distance R (earth's radius) above the earth's surface. The minimum speed with which it should be projected so that it does not return is ?
Updated On	Mar 24, 2023
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	70
Avg. Video Duration	11 min