A planet has a mass equal to (110)th of Earth's mass and a diameter equal to half of Earth's diameter. The acceleration due to gravity on this planet is:
1.
9.8ms−2
2.
4.9ms−2
3.
3.92ms−2
4.
19.6ms−2
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Subtopic: Acceleration due to Gravity |
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The minimum energy required to launch a satellite of mass m from the surface of the earth of mass M and radius R in a circular orbit at an altitude of 2R from the surface of the earth is:
1.
2GmM3R
2.
GmM2R
3.
GmM3R
4.
5GmM6R
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Subtopic: Satellite |
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A rocket is fired vertically upward with a speed of ve√2 from the Earth's surface, where ve is escape velocity on the surface of Earth. The distance from the surface of Earth upto which the rocket can go before returning to the Earth is:
(given, the radius of Earth =6400km )
1. 1600km
2. 3200km
3. 6400km
4. 12800km
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Subtopic: Escape velocity |
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A body weighing 100N on the surface of the Earth weights xkg-ms−2 at a height 19RE above the surface of Earth. The value of x is:
(take g=10ms−2 at the surface of Earth and RE is the radius of Earth)
1. 72
2. 54
3. 81
4. 62
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Subtopic: Acceleration due to Gravity |
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An object of mass 100kg falls from point A to B as shown in the figure. The change in its weight, corrected to the nearest integer (RE is the radius of the Earth), is:
1. 49N
2. 89N
3. 5N
4. 10N
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Subtopic: Acceleration due to Gravity |
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Two bodies of mass m and 9m are placed at a distance R. The gravitational potential on the line joining the bodies where the gravitational field equals zero, will be:
(G= gravitational constant)
1. −20GmR
2. −8GmR
3. −12GmR
4. −16GmR
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Subtopic: Gravitational Potential |
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A satellite is orbiting just above the surface of the earth with period T. If d is the density of the earth and G is the universal constant of gravitation, the quantity 3πGd represents:
1. √T
2. T
3. T2
4. T3
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Subtopic: Satellite |
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The escape velocity of a body on the earth's surface is 11.2km/s. If the same body is projected upward with a velocity 22.4km/s, the velocity of this body at an infinite distance from the centre of the earth will be:
1.
11.2√2km/s
2.
zero
3.
11.2km/s
4.
11.2√3km/s
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Subtopic: Escape velocity |
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