COMEDK · Physics · 9. Gravitation
A satellite is revolving around the earth in a circular orbit with kinetic energy of \(1.69 \times 10^{10} \mathrm{~J}\). The additional kinetic energy required for just escaping into the outer space is
- A \(3.38 \times 10^{10} \mathrm{~J}\)
- B \(1.69 \times 10^{10} \mathrm{~J}\)
- C \(1.35 \times 10^{10} \mathrm{~J}\)
- D \(0.89 \times 10^{10} \mathrm{~J}\)
Answer & Solution
Correct Answer
(B) \(1.69 \times 10^{10} \mathrm{~J}\)
Step-by-step Solution
Detailed explanation
For a satellite in a circular orbit of radius \(r\) around the earth of mass \(M\), the gravitational potential energy is \(U = -\dfrac{GMm}{r}\) and the kinetic energy is \(K = \dfrac{GMm}{2r}\). The total mechanical energy of the satellite in the orbit is…
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