Question

A body of mass 'a' moving with velocity 'b' strikes a body of mass 'c' and gets embedded into it. The velocity of system after collision is_________.

A. a+b/ab

B. ab/a+c

C. a/b+c

D. b/a+c

Answer 1

Answer:

Option (b)

Explanation:

during the collision momentum is conserved

initial momentum of body A +initial momentum of body C=final momentum of body A+ body C

A×B+0 = A×V+ C×V (let V be the velocity of body A+C) (initial mom. of body C is 0 because it is at rest)

AB = V(A+C)

so V = ab/(a+c)

Answer 2

The velocity of the system after the collision is $\dfrac{ab}{a+c}$

Explanation:

It is given that, a body of mass 'a' moving with velocity 'b' strikes a body of mass 'c' and gets embedded into it. The momentum of the system remains conserved. So, using the conservation of linear momentum as :

$a\times b=(a+c)V$

V is the velocity of system after collision

So,

$V=\dfrac{ab}{a+c}$

So, the velocity of the system after the collision is $\dfrac{ab}{a+c}$. Hence, the correct option is (B).

Learn more,

Collision

https://brainly.in/question/12663591