Question

Two particles, of masses M and 2M, moving as shown, with speeds of 10 m/s and 5 m/s, collide elastically at the origin. After the collision, they move along the indicated directions with speeds v₁ and v₂ respectively. The value of v₁ and v₂ are nearly:
(A) 3.2 m/s and 12.6 m/s
(B) 6.5 m/s and 6.3 m/s
(C) 6.5 m/s and 3.2 m/s
(D) 3.2 m/s and 6.3 m/s

Answer 1

hey mate ,yr answer..

m1u1 + m2U2= m1v1 +m2v2

M(10) +2M(5) = M V1 + 2Mv2

10M + 10M = M(v1 + 2v2)

20M / M = v1 + 2v2

20 - 2v2 = v1

v1 = 20 - 2 (3.2 ) ...............( 3.2 is bcoz I used option first )

v1 = 20 _ 6.4

v1 = 13 .6

hence first option is correct to some extent

other options are very far ....

And it is 13.6 instead of 12.6