Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 84

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If the earth of radius $R$ , while rotating with angular velocity $ω$ , becomes stand still, what will be the effect on the weight of a body of mass $m$ at a latitude of $45 °$ ?

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Important Questions on Gravitation

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 85

A body weighs

63 N

on the surface of the Earth. At a height

h

above the surface of Earth, its weight is

28 N

while at a depth

h

below the surface of the Earth, the weight is

31.5 N

. The value of

h

is

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 86

If the earth were assumed to have uniform density and spherical symmetry, then the value of

g

in

m s^{- 2}

halfway towards the centre of earth would be

[g = 10 m s^{- 2}]

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 87

It is given,

R

is the radius of the earth and

ω

is its angular velocity and

g_{p}

is the value of

g

at the poles. The effective value of g at the latitude

ϕ = 60 °

will be equal to

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 88

What should be the angular speed of the earth in $rad s^{- 1}$ so that a body of $5 kg$ weighs zero at the equator?

[Take $g = 10 m s^{- 2}$ and radius of earth $= 6400 km$ ]

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 89

The acceleration due to gravity at a height

{(\frac{1}{20})}^{t h}

of the radius of the earth above the earth surface is

9 m s^{- 2}

. Its value at a point at an equal distance below the surface of the earth in

m s^{- 2}

is about? (Take the value of

g

at the earth's surface as

10 m s^{- 2}

)

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 90

Considering earth's rotation, the value of

g

at the earth's surface is

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 91

If the earth rotates faster than its present speed, the weight of an object will

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Physics Crash Course MHT-CET>Chapter 5 - Gravitation>Exercise 1>Q 92

The rotation of the earth having radius

R

about its axis speed up to a value such that a man at latitude angle

60 °

feels weightlessness. The duration of the day in such a case is