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A satellite is in a low, circular orbit around Earth. A small, impulsive retro-rocket burn is executed, reducing the satellite's speed by a small amount . Which of the following best describes the resulting orbit immediately after the burn?
A smaller, circular orbit.
A larger, circular orbit.
An elliptical orbit with the apogee at the burn point and the perigee diametrically opposite.
An elliptical orbit with the perigee at the burn point and the apogee diametrically opposite.
A planet has a radius R and density . A satellite is launched from its surface with a speed . The maximum height attained by the satellite above the planet's surface is:
R/2
4R/5
R
2R
If the escape velocity at the surface of a planet is , and a projectile is launched vertically with a speed of , the maximum height reached by the projectile above the surface is:
R/2
R
2R
R/3
An object is projected vertically upwards from the surface of Earth with a velocity half the escape velocity. What is the maximum height reached by the object (ignoring air resistance)? (R = Radius of Earth)
R/2
R/3
R/4
R
At what height from the surface of earth the total energy of a satellite is equal to its potential energy at a height of 2R from surface of earthβ¦. (R = Radius of earth)
2R
R/2
R/4
4R
A body is released from height equal to radius R of the earth. The velocity of body with which it will strike the earth surface is
A particle falls towards earth from infinity. Itβs velocity on reaching the earth would be
Infinity
Zero