A body of mass a moving with a velocity b strikes a body of mass c and gets embebded into it. The velocity of the system after collision is :

Question

A body of mass a moving with a velocity b strikes a body of mass c and gets embebded into it. The velocity of the system after collision is : (A)  (a+c/ab)  (B)  (ab/a+c)  (C)  (a/b+c)  (D)  (a/a+b)

Tardigrade Admin · Accepted Answer

In inelastic collision momentum remains conserved.
Macroscopic collisions are generally inelastic and do not conserve kinetic energy, though ofcourse the total energy is conserved. The extreme inelastic collision is one in which the colliding objects stick together after collision.

From conservation of momentum, we have

m_{1} v_{1} + m_{2} v_{2} = (m_{1} + m_{2}) v

Given,

m_{1} = a, v_{1} = b, m_{2} = c, v_{2} = 0

∴ a \cdot b + c \cdot 0 = (a + c) v

\Rightarrow v = \frac{ab}{a + c}

Q. A body of mass a moving with $a$ velocity $b$ strikes a body of mass $c$ and gets embebded into it. The velocity of the system after collision is :

$\frac{a + c}{ab}$

$\frac{ab}{a + c}$

$\frac{a}{b + c}$

$\frac{a}{a + b}$

Q. A body of mass a moving with a velocity b strikes a body of mass c and gets embebded into it. The velocity of the system after collision is :

aba+c​

a+cab​

b+ca​

a+ba​

Q. A body of mass a moving with $a$ velocity $b$ strikes a body of mass $c$ and gets embebded into it. The velocity of the system after collision is :

$\frac{a + c}{ab}$

$\frac{ab}{a + c}$

$\frac{a}{b + c}$

$\frac{a}{a + b}$