Question:

A satellite is in an orbit around the earth. If its kinetic energy is doubled, then

Updated On: Jul 31, 2023
  • it will maintain its path
  • it will fall on the earth
  • it will rotate with a great speed
  • it will escape out of earth?? gravitational field
Hide Solution
collegedunia
Verified By Collegedunia

The Correct Option is D

Solution and Explanation

Kinetic energy, $K=\frac{1}{2}m\upsilon_{0}^{2} $ or$\quad v_{0}=\sqrt{\frac{2k}{m}}$ When kinetic energy is doubled, then $v'_{0}=\sqrt{\frac{2\times2K}{m}}=\sqrt{2}\sqrt{\frac{2K}{m}}=\sqrt{2v_{0}}$ But $\sqrt{2v_{0}}=v_{e}$ (escape velocity) Hence satellite will escape out of earth?? gravitational field.

Was this answer helpful?
0
0

Concepts Used:

Gravitation

In mechanics, the universal force of attraction acting between all matter is known as Gravity, also called gravitation, . It is the weakest known force in nature.

Newton’s Law of Gravitation

According to Newton’s law of gravitation, “Every particle in the universe attracts every other particle with a force whose magnitude is,

  • F ∝ (M1M2) . . . . (1)
  • (F ∝ 1/r2) . . . . (2)

On combining equations (1) and (2) we get,

F ∝ M1M2/r2

F = G × [M1M2]/r2 . . . . (7)

Or, f(r) = GM1M2/r2

The dimension formula of G is [M-1L3T-2].