1.

An object of mass m_(1) initially moving at speed v_(0) collides with an stationary abject of mass m_(2)= alpham_(1), where a lt 1.The collision could be completely elastic, completely inelastic, or partially inelastic. After the collision the two objects move at speeds v_(1) " and " v_(2). Assume that the collision is one dimensional , and that object one cannot pass through object two. After the collision, the speed ratio r_(1)=v_(1)//v_(0)of object 1 is bounded by

Answer»

`(1-alpha)//(1+alpha)ler_(1)le1`
`(1-alpha)//(1+alpha)ler_(1)le1//(1+alpha)`
`alpha//(1+alpha)ler_(1)le1`
`1//(1+alpha)ler_(1)LE2//(1+alpha)`

Solution :`V_(1)=((M_(1)-eM_(2))/(M_(1)+M_(2)))u_(1)+((1+e)M_(2)u_(2))/((M_(1)+M_(2)))=((1-ealpha))/((1+alpha))V_(0)`
`r_(1)=(V_(1))/(V_(0))=((1-ealpha))/((1+alpha))`
`(r_(1))_("min")=((1-alpha))/((1+alpha))`
`(r_(1))_("max")=((1)/(1+alpha))`


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