A particle strikes elastically with another particle with velocity V . After collision, it moves with half the velocity in the same direction. Find the velocity of the second particle if it is initially at rest.

Question

A particle strikes elastically with another particle with velocity V . After collision, it moves with half the velocity in the same direction. Find the velocity of the second particle if it is initially at rest. (A) (3 V/2) (B) (V/2) (C) V (D) none of these

Tardigrade Admin · Accepted Answer

We know that ( overset arrow v2 - overset arrow v1)=e( overset arrow u1 - overset arrow u2) or ( overset arrow v2 - (v/2))=1(v - 0) (for an elastic collision e=1 ) or v2=(3 V/2)

Q. A particle strikes elastically with another particle with velocity $V$ . After collision, it moves with half the velocity in the same direction. Find the velocity of the second particle if it is initially at rest.

$\frac{3 V}{2}$

$\frac{V}{2}$

$V$

none of these

We know that
$(v_{2} \to - v_{1} \to) = e (u_{1} \to - u_{2} \to)$
or $(v_{2} \to - \frac{v}{2}) = 1 (v - 0)$ (for an elastic collision $e = 1$ )
or $v_{2} = \frac{3 V}{2}$

Q. A particle strikes elastically with another particle with velocity V . After collision, it moves with half the velocity in the same direction. Find the velocity of the second particle if it is initially at rest.

23V​

2V​

V

none of these

We know that (v2​→​−v1​→​)=e(u1​→​−u2​→​) or (v2​→​−2v​)=1(v−0) (for an elastic collision e=1 ) or v2​=23V​

Q. A particle strikes elastically with another particle with velocity $V$ . After collision, it moves with half the velocity in the same direction. Find the velocity of the second particle if it is initially at rest.

$\frac{3 V}{2}$

$\frac{V}{2}$

$V$

We know that
$(v_{2} \to - v_{1} \to) = e (u_{1} \to - u_{2} \to)$
or $(v_{2} \to - \frac{v}{2}) = 1 (v - 0)$ (for an elastic collision $e = 1$ )
or $v_{2} = \frac{3 V}{2}$