A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass m2 collides with A with a velocity which is half ( v 2 ) the instantaneous velocity v of A. The col…

Question

A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass m2 collides with A with a velocity which is half ( v 2 ) the instantaneous velocity v of A. The collision is completely inelastic. Then, the combined body:

Accepted Answer

Correct answer: B. (b) JEE Main 2020 Conserving momentum m2 v2+ mv=(m+ m2)v_f v_f= 5 mV4 3m2= 5V6 v_f=v_ orb(=v) thus the combined mass will go on to an elliptical path

$A body A of mass m is moving in a circular orbit of radius R about a planet. Another body B of mass \frac{m}{2} collides with A with a velocity which is half (\frac{v \to}{2}) the instantaneous velocity v \to of A . The collision is completely inelastic. Then, the combined body:$

Solution

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