When a body of mass $$m1$$ moving with uniform velocity $$40$$ $$ms-1$$ collides with another body of mass $$m2$$ at rest, then the two together begin to move with uniform velocity of $$30$$ $$ms-1$$. The ratio of the masses (i$$. e. $$m1/m2$$ $$) of the two bodies will be

Question

When a body of mass $$m1$$ moving with uniform velocity $$40$$ $$ms-1$$ collides with another body of mass $$m2$$ at rest, then the two together begin to move with uniform velocity of $$30$$ $$ms-1$$. The ratio of the masses (i$$. e. $$m1/m2$$ $$) of the two bodies will be

Infinity Learn · Accepted Answer

Initial momentum of the system                         $$=$$ $$m1$$×$$40$$ $$+$$ $$m2$$×$$0=40$$ $$m1Final$$ momentum of the system                          $$=(m1$$ $$+$$ $$m2)$$ × $$30By$$ the law of conservation of momentum,             Initial momentum $$=$$ Final momentum                           $$40m1$$ $$=$$ $$(m1$$ $$+$$ $$m2)30$$                $$40$$ $$m1-$$ $$30m1=30$$ $$m2$$⇒                         $$10$$ $$m1=$$ $$30$$ $$m2$$⇒                              $$m1m2=31$$

When a body of mass m₁ moving with uniform velocity $40 {ms}^{- 1}$ collides with another body of mass m₂ at rest, then the two together begin to move with uniform velocity of $30 {ms}^{- 1}$ . The ratio of the masses (i. e. m₁/m₂ ) of the two bodies will be

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When a body of mass m1 moving with uniform velocity 40 ms-1 collides with another body of mass m2 at rest, then the two together begin to move with uniform velocity of 30 ms-1. The ratio of the masses (i. e. m1/m2 ) of the two bodies will be

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When a body of mass m₁ moving with uniform velocity $40 {ms}^{- 1}$ collides with another body of mass m₂ at rest, then the two together begin to move with uniform velocity of $30 {ms}^{- 1}$ . The ratio of the masses (i. e. m₁/m₂ ) of the two bodies will be