A body A of mass $m$ is moving in a circular orbit of radius $R$ about a planet. Another body B of mass $\frac { m } { 2 }$ collides with A with a velocity which is half $\left( \frac { \vec { v } } { 2 } \right)$ the instantaneous velocity $\vec { v }$ of A. The collision is completely inelastic. Then, the combined body: (1) continues to move in a circular orbit (2) Escapes from the Planet's Gravitational field (3) Falls vertically downwards towards the planet (4) starts moving in an elliptical orbit around the planet
A body A of mass $m$ is moving in a circular orbit of radius $R$ about a planet. Another body B of mass $\frac { m } { 2 }$ collides with A with a velocity which is half $\left( \frac { \vec { v } } { 2 } \right)$ the instantaneous velocity $\vec { v }$ of A. The collision is completely inelastic. Then, the combined body:\\
(1) continues to move in a circular orbit\\
(2) Escapes from the Planet's Gravitational field\\
(3) Falls vertically downwards towards the planet\\
(4) starts moving in an elliptical orbit around the planet