A satellite is moving in a circular orbit around the earth. The total energy of the satellite is E = - 2 × 10⁵ J. The amount of energy to be imparted to the satellite to transfer it to a circular orbit where its potential energy is U = - 2 × 10⁵ J is equal to .
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Question

A satellite is moving in a circular orbit around the earth. The total energy of the satellite is E = - 2 × 10⁵ J. The amount of energy to be imparted to the satellite to transfer it to a circular orbit where its potential energy is U = - 2 × 10⁵ J is equal to .

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G1 Physics · Accepted Answer

Step 1: For a circular orbit, v = √(GM/r), L = m√(GMr), K = GMm/(2r), U = -GMm/r, E = -GMm/(2r), and T = 2π√(r³/GM). Step 2: Form the ratio or energy change using the given radii/masses. Step 3: Simplify to the requested value. Final: A: 1×10⁵ J.