Question

If the kinetic energy of a satellite revolving in an orbit near the earth is doubled, will it escape from the orbit?
Solve it!​

Answer 1

Answer:

the new speed of the satellite in its orbit is more than escape speed so it will escape from its orbit

Explanation:

Orbital speed of the satellite near the surface of Earth is given as

$\frac{mv^2}{R} = \frac{GMm}{R^2}$

$v = \sqrt{\frac{GM}{R}}$

also we know that the escape speed of an object near the surface of Earth is given as

$v_{es} = \sqrt{\frac{2GM}{R}}$

now we know that the orbital speed is increased to double of its initial value

so new speed will be

$v = \sqrt{\frac{4GM}{R}}$

so this new speed is more than the escape speed so the satellite will escape from its orbit

#Learn

Topic : orbital speed

https://brainly.in/question/2605385