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Collisions

Question

A particle of mass m, kinetic energy K and momentum p collides heads on elastically with another particle of mass 2m at rest. Match the quantities in Column – I (quantities after collision) to their respective values in column. II 

COLUMN-ICOLUMN-II
A) Momentum of first particle (multiple of p)P) 43
B) Momentum of second particle (multiple of p )Q) 19
C) Kinetic energy of first particle (multiple of K)R) 13
D) Kinetic energy of second particle (multiple of K)S) 89

 

 

Difficult
Solution

p1+p2=p.....(1) 

Further, K1+K2=K p122m+p224m=p22m 2p12+p22=2p2.....(2)

Solving these two equations we get,

p2=43p  And p1=p3,K1=K9 And K2=8K9

 



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