A satellite of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is
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Question

A satellite of mass 5M orbits the earth in a circular orbit. At one point in its orbit, the satellite explodes into two pieces, one of mass M and the other of mass 4M. After the explosion the mass M ends up travelling in the same circular orbit, but in opposite direction. After explosion the mass 4M is

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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: B: unbound.