The change in the value of g at a height h above the surface of the earth is the same as at a depth d below the surface. If h and d are small compared to R, then:
Two spherical bodies of mass M and 5M and radii R and 2R are released in free space with initial separation between their centres equal to 12R. If they attract each other due to gravitational force only, then the distance covered by the smaller body before collision is:
A planet is revolving in an elliptical orbit around the sun. Its closest distance is r and farthest distance is R. If velocity at closest distance is v, then velocity at farthest distance is:
A satellite is in a circular orbit around the earth at a height R above the surface. If the satellite is stopped and allowed to fall, the speed with which it hits the surface is:
Dependence of intensity of gravitational field (E) of earth with distance (r) from centre of earth is correctly represented by:
A black hole is an object whose gravitational field is so strong that even light cannot escape from it. To what approximate radius would earth (mass 5.98 x 1024 kg) have to be compressed to be a black hole?
The gravitational potential V at a point distance x from the centre of a solid sphere of radius R and mass M (x < R) is:
Three particles each of mass m are moving on a circle of radius r under mutual gravitational attraction. The speed of each particle is:
A body is thrown vertically upwards from the surface of earth with a velocity equal to half the escape velocity. The ratio of potential energy at maximum height to that at the surface is:
A rocket is launched with velocity 10 km/s. If radius of earth is R, then maximum height attained by it will be (ve = 11.2 km/s):
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