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Physics Part-I

Gravitation

Choose the correct alternative: (a) If the zero of potential e

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

Let us assume that our galaxy consists of

2.5 \times 1 0^{11}

stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution ? Take the diameter of the Milky Way to be

1 0^{5}

ly.

Choose the correct alternative:
(a) If the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its kinetic / potential energy.
(b) The energy required to launch an orbiting satellite out of earths gravitational influence is more/less than the energy required to project a stationary object at the same height (as the satellite) out of earths influence.

Does the escape speed of a body from the earth depend on (a) The mass of the body, (b) The location from where it is projected, (c) The direction of projection, (d) The height of the location from where the body is launched?

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Question

Easy

Solving time: 1 mins

Choose the correct alternative:
(a) If the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its kinetic / potential energy.
(b) The energy required to launch an orbiting satellite out of earths gravitational influence is more/less than the energy required to project a stationary object at the same height (as the satellite) out of earths influence.

Name: Video solution 1: [Solved] Choose the correct alternative:(a) If the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its kinetic / potential energy.(b) The energy required to launch an orbiting satellite out of earths gravitational influence is more/less than the energy required to project a stationary object at the same height (as the satellite) out of earths influence. - Physics Part-I
Uploaded: 2022-05-22T14:20:16.000Z
Duration: 22 min

Views: 5,763 students

Updated on: May 22, 2022

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Physics Part-I (NCERT)

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Text solutionVerified

Let

Height of satellite+Radius of earth=R

(a)

For a satellite,

Gravitational Force = Centripetal Force

GM m / R^{2} = m v^{2} / R .......... (1)

U = - GM m / R

K . E . = \frac{1}{2} m v^{2}

T . E . = U + K . E .

T . E . = - GM m / R + \frac{1}{2} m v^{2} ............ (2)

From (1) and (2),

T . E . = - \frac{1}{2} m v^{2} = - K . E .

Hence, if the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its kinetic energy.

(b)

For an object to escape, the energy required should be such that total energy is zero.

For a satellite,

T . E . = - \frac{GM m}{2 R}

from part (a)

Extra energy for satellite,

E_{1} = \frac{GM m}{2 R} ........... (1)

For a stationary object,

T . E . = U = - \frac{GM m}{R}

Extra energy for object,

E_{2} = \frac{GM m}{R} ........... (2)

From (1) and (2),

\frac{E _{1}}{E _{2}} = \frac{1}{2}

Hence, the energy required to launch an orbiting satellite out of earth's gravitational influence is less than the energy required to project a stationary object at the same height (as the satellite) out of earth's influence.

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Practice more questions from Physics Part-I (NCERT)

Let us assume that our galaxy consists of

2.5 \times 1 0^{11}

stars each of one solar mass. How long will a star at a distance of 50,000 ly from the galactic centre take to complete one revolution ? Take the diameter of the Milky Way to be

1 0^{5}

ly.

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Question Text	Choose the correct alternative: (a) If the zero of potential energy is at infinity, the total energy of an orbiting satellite is negative of its kinetic / potential energy. (b) The energy required to launch an orbiting satellite out of earths gravitational influence is more/less than the energy required to project a stationary object at the same height (as the satellite) out of earths influence.
Updated On	May 22, 2022
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	141
Avg. Video Duration	22 min

Text solutionVerified

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