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Physics Part-I

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Assume the earth to be a sphere of uniform mass density, how m

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

A body weighs

63

N on the surface of the earth. What is the gravitational force (in N) on it due to the earth at a height equal to half the radius of the earth ?

Assume the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ?

A rocket is fired vertically with a speed of

5 km s^{- 1}

from the Earth's surface. How far from the Earth does the rocket go before returning to the Earth ? Mass of the earth

= 6.0 \times 1 0^{24} k g

; mean radius of the radius of the Earth

= 6.4 \times 1 0^{6} m

;

G = 6.67 \times 1 0^{- 11} N m^{2} k g^{- 2}

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Question

Easy

Solving time: 1 mins

Assume the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ?

Name: Video solution 1: [Solved] Assume the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ? - Physics Part-I
Uploaded: 2022-02-16T03:48:02.000Z
Duration: 5 min
Description: Video solution 1: [Solved] Assume the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ? - Physics Part-I

Views: 5,924 students

Updated on: Sep 25, 2022

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Physics Part-I (NCERT)

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Assume the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ?

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Text solutionVerified

Weight of a body of mass

m

at the Earth's surface,

W = m g = 250 N

Body of mass

m

is located at depth,

d = R_{e} /2

Acceleration due to gravity at depth

g (d)

is given by the relation:

g^{'} = (1 - \frac{d}{R _{e}}) g

g^{'} = (1 - \frac{R _{e}}{2 R _{e}}) g

= g /2

Weight of the body at depth

d

W^{'} = m g^{'}

= m g /2 = W /2

= 125 N

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Practice more questions from Physics Part-I (NCERT)

A body weighs

63

N on the surface of the earth. What is the gravitational force (in N) on it due to the earth at a height equal to half the radius of the earth ?

Assume the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ?

A rocket is fired vertically with a speed of

5 km s^{- 1}

from the Earth's surface. How far from the Earth does the rocket go before returning to the Earth ? Mass of the earth

= 6.0 \times 1 0^{24} k g

; mean radius of the radius of the Earth

= 6.4 \times 1 0^{6} m

;

G = 6.67 \times 1 0^{- 11} N m^{2} k g^{- 2}

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Question Text	Assume the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ?
Updated On	Sep 25, 2022
Topic	Gravitation
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 2
Upvotes	245
Avg. Video Duration	7 min

Assume the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ?

Text solutionVerified

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Assume the earth to be a sphere of uniform mass density, how much would a body weigh (in N) half way down to the center of the earth if it weighed 250 N on the surface ?

Text solutionVerified

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