The acceleration due to gravity on the surface of the earth is 10 ms - 2 . The mass of the planet mars as compared to earth is 1 10 and radius is 1 2 . Determine the gravitational acceleration of a body on the surface of mars.

We know that the acceleration due to gravity is g = G M R 2 For the planet mars, M mars = 1 10 M earth R mars = 1 2 R earth The gravitational acceleration of a body on the mars is g ' = G M 10 R 2 2 g ' = GM × 4 10 R 2 g ' = 2 5 g g ' = 4 m / s 2

The body weights 100 kg on earth. Find it weight on mars. The mass and radius of mars are 1 10 and 1 2 of the mass and radius of earth.

The acceleration due to gravity on earth is g = GM R 2 On the planet of mars M ' = M 10 , R ' = R 2 and g ' = G M 10 R 2 2 g ' = 2 GM 5 R 2 g ' = 2 5 g To calculating weight on mars, multiplying by m on both side mg ' = 2 5 mg = 2 5 × 1000 = 400 N = 40 Kg

E M B I B E

ISC Physics Class XI Part 1>Chapter 15 - Gravitation : Planets and Satellites>NUMERICALS>Q 5

HARD

11th ICSE

IMPORTANT

Earn 100

If the radius of the earth be $6.37 \times 10^{6} m$ and the acceleration due to gravity $9.81 {ms}^{- 2}$ , then calculate the mass and the density of the earth. $(G = 6.67 \times 10^{- 11} N m^{2} k g^{- 2})$ .

Important Questions on Gravitation : Planets and Satellites

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11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 15 - Gravitation : Planets and Satellites>NUMERICALS>Q 6

What will be the acceleration due to gravity at a planet whose mass is eight times the mass of the earth and whose radius is twice that of the earth?

(' g' on earth is 10 {ms}^{- 2}) .

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11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 15 - Gravitation : Planets and Satellites>NUMERICALS>Q 7

The acceleration due to gravity on the surface of the earth is

10 {ms}^{- 2}

. The mass of the planet mars as compared to earth is

\frac{1}{10}

and radius is

\frac{1}{2} .

Determine the gravitational acceleration of a body on the surface of mars.

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 15 - Gravitation : Planets and Satellites>NUMERICALS>Q 8

The body weights

100 kg

on earth. Find it weight on mars. The mass and radius of mars are

\frac{1}{10} and \frac{1}{2}

of the mass and radius of earth.

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 15 - Gravitation : Planets and Satellites>NUMERICALS>Q 9

If the earth rotating about its axis then what will be the change in the value of

g

at a place in the equator plane? Assume that the earth is a sphere of radius

6.4 \times 10^{6} m .

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11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 15 - Gravitation : Planets and Satellites>NUMERICALS>Q 10

What will be the value of acceleration due to gravity

' g'

at a height

3200 km

from the earth while its value at the earth is

9.8 {ms}^{- 2}

? Radius of the earth is

6400 km .

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 15 - Gravitation : Planets and Satellites>NUMERICALS>Q 11

At what height above the earth's surface would the acceleration due to gravity be half value on its at the earth's surface? (radius of earth

= 6400 km .

)

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 15 - Gravitation : Planets and Satellites>NUMERICALS>Q 11

At what height above the earth's surface would the acceleration due to gravity be one fourth value on its at the earth's surface? (radius of earth

= 6400 km .

)

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 15 - Gravitation : Planets and Satellites>NUMERICALS>Q 12

At what depth below the surface of the earth the acceleration due to gravity will be one half of the acceleration due to gravity at the surface of the earth? Radius of earth is