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
Answer
Initial momentum is given
Pi=mu+m′u′=2×22+4×10=84kg−m/secP_i=mu+m'u'\\=2\times22+4\times10\\=84kg-m/secPi=mu+m′u′=2×22+4×10=84kg−m/sec
So velocity after collision
For first particle B
v=Pi+m′(u′−u)m+m′=84+4(10−22)2+4=6m/secv=\frac{P_i+m'(u'-u) }{m+m'}\\=\frac{84+4(10-22) }{2+4}\\=6m/secv=m+m′Pi+m′(u′−u)=2+484+4(10−22)=6m/sec
Now A
v′=Pi+m(u−u′)m+m′=84+2(22−10)2+4=18m/secv'=\frac{P_i+m(u-u') }{m+m'}\\=\frac{84+2(22-10) }{2+4}\\=18m/secv′=m+m′Pi+m(u−u′)=2+484+2(22−10)=18m/sec
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