EASY
JEE Advanced
IMPORTANT
Earn 100

Air friction increases the velocity of the satellite. Explain.

Important Questions on Gravitation

EASY
JEE Advanced
IMPORTANT
Two satellites move along a circular orbit in the same direction at a small distance from each other. A container has to be thrown from the first satellite on the second one. When will the container reach the second satellite earlier, if it is thrown in the direction of motion of the first satellite or in the opposite direction? The velocity of the container is small in comparison to that of the satellite.
EASY
JEE Advanced
IMPORTANT
Two satellites of the same mass are launched in the same orbit around the earth so as to rotate opposite to each other. They collide inelastically and stick together as wreckage. Obtain the total energy of the system before and just after the collision. Describe the subsequent motion of the wreckage.
EASY
JEE Advanced
IMPORTANT
If a satellite is revolving around a planet of mass $M$ in an elliptical orbit of semi-major axis a. Show that the orbital speed of the satellite when it is at a distance r from the planet will be given by v2=GM2r-1a.
MEDIUM
JEE Advanced
IMPORTANT

An artificial satellite is in a circular orbit at 500 km above the earth's surface.

(i) What is the acceleration of the satellite?

(ii) What is the acceleration due to gravity at any point along the satellite's path?

Take radius of the earth as 6.5×106 m.

EASY
JEE Advanced
IMPORTANT
A satellite of mass m moves in a circular orbit of radius r around the earth. Calculate the total energy required to place the satellite in the orbit from the earth's surface. Assuming initially it to be at rest.
EASY
JEE Advanced
IMPORTANT

A satellite is lifted from earth to a height h. Let the work done by the external agent be W1. Then it is projected with a speed v so as to move in a circular orbit doing an extra work W2. Compare these works done.

Question Image

HARD
JEE Advanced
IMPORTANT

A spaceship is launched into a circular orbit close to the earth's surface. What additional velocity has now to be imparted to the spaceship in the orbit to overcome the gravitational pull?

[ Radius of the earth =6,400 km,g=9.8 m s-2]

HARD
JEE Advanced
IMPORTANT
A geostationary satellite is orbiting the earth at a height of 6 R above the surface of the earth, where R is the radius of the earth. Find the time period of another satellite at a height of 2.5 R from the surface of the earth.