WorksheetsGRAVITATION (Motion of Satellites)
Total questions: 15
Worksheet time: 8mins
What is
the relation between the escape velocity and orbital velocity of a satellite,
if the satellite is close to the earth’s surface?
Vo = 2√Ve
Ve = √2 Vo
Ve = 2√Vo
Vo = √2Vo
Consider a body of mass m which needs to be moved from an orbit of radius 2R to 3R. What is the energy required?
GmM/(12R)
GmM/(6R)
GmM/R
GmM/2R
Choose the factor on which the orbital velocity does not depend when the satellite is orbiting close to the earth’s surface:
The mass of the earth
The mass of the satellite
The orbital radius
The radius of the earth
If a satellite takes time T for revolution, the kinetic energy is proportional to:
1/T
T32
T−2
A satellite of the earth is revolving in a circular orbit with a uniform speed v. If the gravitational force suddenly disappears, the satellite will:
Continue to move with velocity v along the original orbit
Move with a velocity v, tangentially to the original orbit
Fall down with increasing velocity
Ultimately come to rest somewhere on the original orbit
Satellites orbiting the earth have finite life and sometimes debris of satellites fall to the earth. This is because:
the solar cells and batteries in satellites run out.
the laws of gravitation predict a trajectory spiraling inwards.
of viscous forces causing the speed of satellite and hence height to gradually decrease.
of collisions with other satellites.
The period of geostationary artificial satellite of earth is:
6 hours
24 hours
12 hours
365 days
A satellite is revolving around the sun in a circular orbit with uniform velocity v. If the gravitational force suddenly disappears, the velocity of the satellite will be:
Zero
V
2 V
Infinity
An artificial satellite moving in a circular orbit around the earth has a total (kinetic + potential) energy Eo. Its potential energy is:
E0
2E0
1.5 E0
-E0
The correct graph representing the variation of total energy (E) kinetic energy (K) and potential energy (U) of a satellite with its distance from the centre of earth is:
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of earth:
The acceleration of S is always directed towards the centre of the earth
The angular momentum of S about the centre of the earth changes in direction, but its magnitude remains constant
The total mechanical energy of S varies periodically with time
The linear momentum of S remains constant in magnitude
An astronaut orbiting the earth in a circular orbit 120 km above the surface of earth gently drops a spoon out of space-ship. The spoon will:
Fall vertically down to the earth
Move towards the moon
Will move along with space-ship
Will move in an irregular way then fall down to earth 10. The period of a satellite in a circular orbit around a planet
The period of a satellite in a circular orbit around a planet is independent of:
The radius of the planet
The mass of the planet
The mass of the satellite
All of these
A satellite revolves around the earth in an elliptical orbit. Its speed:
Is the same at all points in the orbit
Is greatest when it is closest to the earth
Is greatest when it is farthest from the earth
Goes on increasing or decreasing continuously depending upon the mass of the satellite
Out of the following, the only incorrect statement about satellites is:
A satellite cannot move in a stable orbit in a plane passing through the earth's centre
Geostationary satellites are launched in the equatorial plane
We can use just one geostationary satellite for global communication around the globe
The speed of a satellite increases with an increase in the radius of its orbit
