Question #184965

A 2—kg ball B travelling at 22 m.s–¹ overtakes a 4—kg ball travelling in the same direction at 10 m.s—¹. Find the velocity of each ball after collision


1
Expert's answer
2021-04-26T17:06:28-0400

Answer

Initial momentum is given

Pi=mu+mu=2×22+4×10=84kgm/secP_i=mu+m'u'\\=2\times22+4\times10\\=84kg-m/sec


So velocity after collision

For first particle B

v=Pi+m(uu)m+m=84+4(1022)2+4=6m/secv=\frac{P_i+m'(u'-u) }{m+m'}\\=\frac{84+4(10-22) }{2+4}\\=6m/sec

Now A

v=Pi+m(uu)m+m=84+2(2210)2+4=18m/secv'=\frac{P_i+m(u-u') }{m+m'}\\=\frac{84+2(22-10) }{2+4}\\=18m/sec



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