A body of mass 3 kg moving with a velocity `(2 hat(i) + 3 hat(j) + 3 hat(k)) m//s` collides with another body of mass 4 kg moving with a velocity `(3

Question

A body of mass 3 kg moving with a velocity `(2 hat(i) + 3 hat(j) + 3 hat(k)) m//s` collides with another body of mass 4 kg moving with a velocity `(3

A body of mass 3 kg moving with a velocity `(2 hat(i) + 3 hat(j) + 3 hat(k)) m//s` collides with another body of mass 4 kg moving with a velocity `(3 hat(i) + 2 hat(j) - 3 hat(k)) m//s`. The two bodies strick together after collision. The velocity of the composite body is :
A. `(1)/(7) (4 hat(i) + 6 hat(j) - 3 hat(k))`
B. `(1)/(7) (18 hat(i) + 17 hat(j) - 3 hat(k))`
C. `(1)/(7) (6 hat(i) + 4 hat(j) - 6 hat(k))`
D. `(1)/(7) (9 hat(i) + 8 hat(j) - 6 hat(k))`

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - B
`vec(P)_(i) = vec(P)_(f)`
`3 (2 hat(i) + 3 hat(j) = 3 hat(k)) + 4 (3 hat(i) + 2 hat(j) - 3 hat(k)) = (3 + 4) vec(V)`
`vec(V) = (18 hat(i) + 17 hat(j) - 3 hat(k))/( 7)`

4 views Answered 2023-02-05 15:29