Suppose that the angular velocity of rotation of the Earth is increased. Then, as a consequence,

except at poles, weight of the object on the earth, will decrease.

weight of the object, everywhere on the earth, will decrease.

weight of the object, everywhere on the earth, will increase.

there will be no change in weight anywhere on the earth.

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Earn 100

Assertion: The artificial satellite does not have any fuel but even then it remains orbiting around the earth.

Reason: The necessary centripetal force required to move the satellite in an orbit around the earth is provided by the gravitational force of attraction between the satellite and the earth.

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Important Questions on Gravitation

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 57

A body weighs

700 gm wt

on the surface of the earth. How much will it weigh on the surface of a planet whose mass is

\frac{1}{7}

and radius is half that of the earth?

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IMPORTANT

Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 58

The earth (mass

= 6 \times 10^{24} kg

) revolves around the sun with an angular velocity of

2 \times 10^{- 7} rad s^{- 1}

in a circular orbit of radius

1.5 \times 10^{8} km .

The gravitational force exerted by the sun on the earth, in newton is-

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 59

Ocean tides on the Earth are caused by the gravitational effects of the Moon (for lunar tides) as well as the Sun (for solar tides). If the diameter of the earth were to increase by

20 %

then

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 60

A satellite can be in a geostationary orbit around a planet at a distance r from the centre of the planet. If the angular velocity of the planet about its axis doubles, a satellite can now be in a geostationary orbit around the planet if its distance from the centre of the planet is

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 61

If suddenly the gravitational force of attraction between earth and a satellite revolving around it becomes zero, then the satellite will -

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IMPORTANT

Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 62

Different points in the earth are at slightly different distances from the sun and hence, experience different forces due to gravitation. For a rigid body, we know that if various forces act at various points in it, the resultant motion is as if a net force acts on the

C M

(centre of mass) causing translation and a net torque at the

C M

causing rotation around an axis through the

C M

. For the earth sun system (approximating the earth as a uniform density sphere),

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 63

Particles of masses $2 M, m$ and $M$ are placed respectively at points $A, B$ and $C$ with $A B = \frac{1}{2} (B C) .$ $m$ is much-much smaller than $M$ and at time $t = 0,$ they are all at rest as given in figure. At subsequent times before any collision takes place.

Question Image

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 64

Who among the following did first give the experimental value of

G

Important Questions on Gravitation

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