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Explorer 38, a radio-astronomy satellite of mass 200 kg, circles the Earth in an orbit of average radius 3R / 2 where R is the radius of theEarth.
Assuming the gravitational pull on a mass of 1 kg at the earths surface to be 10 N, calculate the pull on the satellite
8.9 N
89 N
889 N
8889 N
A satellite of mass m is revolving round the Earth at a height R above the surface of theEarth.
If g is the gravitational intensity at the earth surface and R is the radius of the Earth, then the kinetic energy of the satellite will be
MGR
2mg / R
mgR / 2
mgR / 4
A satellite is circling around the Earth at a distance x from the centre ofEarth.
If the radius of the circular orbit is reduced by 1%, then the speed will increase by
3%
1%
2%
0.5%
Two satellite A and B go around a planet P in circular orbits having radii 4R and Rrespectively.
If the speed of the satellite A is 3v, the speed of satellite B would be
(4 / 3)V
6V
(3 / 2)V
12V
A body weighs 63 N on the surface of theEarth.
At a height h above the surface of Earth, its weight is 28 N while at a depth h below the surface of Earth, the weight is 31.5 N. The value of h is
0.4 R
R
0.8 R
0.5 R
A mass m is raised from the surface of Earth to a point which is at a height nR from the surface ofEarth.
Change in potential energy is
mgR / n
2mgR / n
n / n + 1 (mgR )
nmgR
At what height above the surface of Earth the value of g is the same as that in a mine 10 km deep
1.25 km
5 km
10 km
2.5 km
A research satellite of mass 200 kg circles the Earth in an orbit of average radius 3R/2, where R is the radius of theEarth.
Assuming the gravitational pull on a mass 1 kg on Earth s surface to be 10 N, the pull on the satellite will be
890 N
880 N
889 N
892 N
A body is raised to a height h so that the force of gravity on body is 1% of the value on the surface ofEarth.
If the radius of the Earth is 6400 km, then the value of h is
9.8 km
0.98 km
5999 km
57600 km
Masses of the Earth and the Mars are in the ratio 10 : 1 and their radii in the ratio 2 : 1. What will be the ratio of the weights of the same body on the surface of these planets
2 / 5
1 / 20
5 / 2
20 / 1
The period of revolution of planet A around the Sun is 8 times that of
B. The distance of A from the Sun is n times greater than the distance of B from theSun.
The value of n is
8
16
4
12
What is the percentage change in the value of g as we shift from equator to pole on the surface of Earth ? (Given : Equatorial radius of Earth is greater than polar radius by 21 km and mean radius of Earth = 6300 km)
10%
0.1%
0.67%
0.5%
The force of gravitational attraction between the Earth and a geostationary satellite of mass 1 quintal is nearly
30 N
10 n
40 N
20 N
An artificial satellite is moving in a circular orbit around the Earth with a speed equal to half the magnitude of escape velocity from theEarth.
The height of satellite above the surface of Earth is (where R = radius ofEarth.
)
R
4R
3R
2r
The value of g at a certain height h above the free surface of Earth is x / 4 where x is the value of g at the surface ofEarth.
The height h is
R
2r
3R
4R
Suppose Moon s orbital motion around the earth is suddenlystopped.
What time the Moon shall take to fall on to the Earth
1 Year
5 days
27.3 days
two months
The radius of the Earth shrinks by 1%, its mass remaining thesame.
The percentage change in the value of g is
+ 2%
+ 4%
- 2%
- 3%
The ratio of the radius of the Earth to that of moon is 10. The ratio of acceleration due to gravity on Earth and on Moon is 6. The ratio of the escape velocity from the surface of Earth to that from the Moon is
1.66
10
5
nearly 8
The gravitational potential energy of a body of mass m at a distance r from the centre of the Earth is U. What is the weight of the body at this distance
U / r
U
Ur
U / 2r
Assume that the time period of a satellite close to the surface of Earth is 80minutes.
What is the time period of another Earth satellite in an orbit of radius equal to four times the Earth s radius
660 minutes
640 minutes
720 minutes
680 minutes
1
2
4
8
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