A bullet of mass 'm' and velocity 'v' if fired onto a stationary block of mass 'M' and sticks to it. The final velocity is?

Asked by adityaahuja099 | 12th Oct, 2017, 11:30: PM

Expert Answer:

begin mathsize 12px style space straight u space equals initial space velcoity
space straight v equals space final space velocity
straight m subscript 1 equals straight m
straight m subscript 2 equals straight M
straight u subscript 1 equals straight v
straight u subscript 2 equals 0 space left parenthesis block space is space stationary right parenthesis
let space straight v subscript 1 equals straight v subscript 2 equals straight v subscript 3 space left parenthesis bullet space sticks space to space block space and space both space will space move space with space same space velocity space for space straight a space moment right parenthesis
Total space Initial space momentum space of space bullet space and space block equals space Total space final space momentum space
straight m subscript 1 straight u subscript 1 plus straight m subscript 2 straight u subscript 2 equals straight m subscript 1 straight v subscript 1 plus straight m subscript 2 straight v subscript 2
mv plus Mx 0 equals mv subscript 3 plus Mv subscript 3
mv equals left parenthesis straight m plus straight M right parenthesis straight v subscript 3
straight v subscript 3 equals fraction numerator mv over denominator left parenthesis straight m plus straight M right parenthesis end fraction end style

Answered by Gajendra | 29th Nov, 2017, 03:39: PM