UNIT 5:

Gravitation...
Numerical Problems...

Numerical No: 5.1,5.2,5.3,5.4,5.5,5.6,5.7,5.8,5.9,5.10

NUMERICAL NO: 5.1

• Find the gravitational force of attraction between two spheres each of mass 1000 kg. The distance between the centres of the spheres is 0.5 m.


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NUMERICAL NO: 5.2

• The gravitational force between two identical lead spheres kept at 1 m apart is 0.006673 N. Find their masses.


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NUMERICAL NO: 5.3

• Find the acceleration due to gravity on the surface of the Mars. The mass of Mars is 6.42 x 10²³ kg and its radius 3370 km.


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NUMERICAL NO: 5.4

• The acceleration due to gravity on the surface of the moon is 1.62 ms^-2. The radius of the moon is 1740 km. Find the mass of the moon.


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NUMERICAL NO: 5.5

• Calculate the value of g at the height of 3600 km above the surface of the Earth.


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NUMERICAL NO: 5.6

• Find the value of g due to the Earth at geostationary satellite. The radius of the geostationary orbit is 48700 km.


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NUMERICAL NO: 5.7

• The value of g is 4.0 ms^-2 at a distance of 10000 km from the centre of the Earth. Find the mass of the Earth.


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NUMERICAL NO: 5.8

• At what altitude the value of g would become one forth than on the surface of the Earth?


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NUMERICAL NO: 5.9

• A polar satellite is launched at 850 km above the Earth. Find the orbital speed.


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NUMERICAL NO: 5.10

• A communication satellite is launched at 42000 km above Earth. Find its orbital speed.


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