# Recoiling Buggy!

**Classical Mechanics**Level 3

A buggy of mass 100 kg is free to move on a frictionless horizontal track. Two men, each of mass 50 kg, are standing on the buggy, which is initially stationary. The men jump off the buggy with velocity of 10 m/sec relative to the buggy. In one situation, the men jump one after the other. In another situation, the men jump simultaneously.

If the ratio of the recoil velocities of the buggy in two cases can be expressed in the form of \(\frac ab\) where \(a\) and \(b\) are coprime natural numbers, then calculate the value of \(a+b\).

Details And Assumptions I Dont Think that i need to tell the direction of jumping of the two men . it could be easily inferred from the question

For The Sake Of Simplicity Assume That In Both Situations Direction Of Jumping Of Men Are The Same (Means That If In One Situation They Jump In Same Direction Then In Other situation Also They Will Jump In Same Direction And vice-versa)