Satellites revolve around the earth in a circular orbit. What is the relationship between the radius of their orbits and their speeds?
Correct answer: D. V ∞ 1/r2
- A. V ∞ r2
- B. V ∞ r
- C. V1 ∞ 1/r
- D. V ∞ 1/r2
Explanation
d) V ∞ 1/r^2 (V is proportional to 1/r^2):This option correctly represents the relationship between the speed (V) of a satellite and the radius (r) of its orbit. The speed of a satellite is inversely proportional to the square of the radius of its orbit. This means that as the radius of the orbit increases, the speed of the satellite decreases, and vice versa.
Last updated
Related questions
A body of mass m is projected from the Earth's surface. At the point of launch, the acceleration of free fall is g and the radius of the Earth is R. To escape from the gravitational field of the Earth, the speed of the body must be at least:
A moon rotates about its axis. In the future, scientists may wish to put a satellite into an orbit around the moon such that the satellite remains stationary above one point on moon surface, the period of rotation of moon about its axis is 27.4 days,what is the radius of required orbit? Mass of the moon =7.35x10²²kg
A satellite appears to be at rest when seen from the equator. Its height from the Earth's surface is nearly
A satellite is orbiting close to the surface of the earth, its speed is
A satellite moving round the Earth constitutes