If the radius of the earth is made three times, keeping its mass constant, then the weight of a body on earth's surface will be as compared to its previous value :
3 times
9 times
A satellite is revolving round the earth. Its K.E is Ek. How much would it be made so that the satellite may escape out of the gravitational field of earth?
2Ek
3Ek
Ek/2
Infinite
The kinetic energy needed to project a body of mass m from the earth's surface (radius R) to infinity is :
mgR
2mgR
Energy required to move a body of mass m from an orbit of radius 2R to 3R is :
The radius of earth is 6400 km and the value of g is 10m/s2 . If the weight of 5km body on the equator becomes zero, then the angular speed of earth will be :
A satellite moves eastwards very near the surface of the earth in the equatorial plane of the earth with speed v0. Another satellite moves at the same height with the same speed in the equatorial plane but westwards. If R is the radius of the earth and ω be its angular speed about its own axis, then the difference in the two time period as observed on the earth will be approximately equal to :
The time period of a satellite of earth is 5h. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become :
40h
20h
10h
80h
A particle of mass 10g is kept on the surface of a uniform sphere of mass 100kg and radius 10cm. Find the work to be done against the gravitational force between them, to take the particle far away from the sphere :
(You may take G = 6.67 × 10-11 Nm2/kg2)
6.67 × 10-2 J
6.67 × 10-10 J
13.34 × 10-10 J
3.33 × 10-10 J
The escape velocity of a body depends upon mass as :
m2
m3
m0
m1
A satellite of mass m revolves around the earth of the radius R at a height x from its surface. If g is the acceleration due to gravity on the surface of the earth, the orbital speed of the satellite is :
gx