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A missile is launched with a velocity less than the escape velocity the sum of its kinetic and potential energy is

A missile is launched with a velocity less than the escape velocity the sum of its kinetic and potential energy is

Grade:12th pass

4 Answers

Vikas TU
14149 Points
7 years ago
Kinetic energy would be obvious = 0.5mv^2
and the potential Energy would be= -Gm/r^2
Now total energy = 0.5mv^2 – Gm/r^2 hence would be negative as r approaches infinity.
Siddharth Lathi
13 Points
5 years ago
Negative. For the velocity than escape velocity, the missle is bound due to the gravtitaion field of the earth. Hence its total energy is negative
Ashish Mishra
15 Points
5 years ago
Total energy is conserved, hence for the complete motion total energy is k.e+ P.e.
K.e = -p.e/2=-t.e( total energy).
T.e is negative.
Rishi Sharma
askIITians Faculty 646 Points
3 years ago
Dear Student,
Please find below the solution to your problem.

Kinetic energy would be obvious = 0.5mv^2
and the potential Energy would be= -Gm/r^2
Now total energy = 0.5mv^2 – Gm/r^2 hence would be negative as r approaches infinity.

Thanks and Regards

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