If one body collides with another body of same mass at rest inelastically, the ratio of their speeds after collision shall be-

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1 - e}{1 + e}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\frac{1 + e}{1 - e}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\frac{1}{e}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $\frac{1 - e}{1 + e}$
Let $u_{1}$ be the speed of body initially before collision.
$u_{2} = 0$
Let $v_{1}$ be speed of particle 1 after collision and $v_{2}$ be speed of particle 2 after collision.
Using law of conservation of momentum
$m u_{1} = m v_{1} + m v_{2}$
$u_{1} = v_{1} + v_{2}$
Coefficient of restitution will be given by
$e = \frac{v_{2} - v_{1}}{u_{1}} = \frac{v_{2} - v_{1}}{v_{1} + v_{2}}$
$e v_{1} + e v_{2} = v_{2} - v_{1}$
Dividing throughout by $v_{2}$ and rearranging leads to
$\frac{v_{1}}{v_{2}} = \frac{1 - e}{1 + e}$

Suggest Corrections

Similar questions

Q. A body of mass m moving with velocity

v

collides head on with another body of mass

2 m

which is initially at rest. The ratio of

K . E .

of colliding body before and after collision will be :

[e = 1]

Q. One sphere collides with another sphere of same mass at rest inelastically. If the value of coefficient of restitution is

\frac{1}{3}

, the ratio of their speeds after collision shall be

Q. A sphere of mass m moving with a constant velocity

u

hits another stationary sphere of same mass. If

e

is the coefficient of restitution, then ratio of velocities of the two spheres

\frac{v_{1}}{v_{2}}

after collision will be

Q. A sphere of mass

m

moving with a uniform velocity

v

hits another identical sphere at rest. If the coefficient of restitution is

e

, the ratio of the velocities of the two spheres after the collision is

\frac{e - 1}{e + 1}

A ball of B₁of mass m moving with velocity u₁ collides head on with another ball Ball B₂of the same mass at rest.Given that the coefficient of restitution is e. Answer the following questions. What will be the ratio of the velocities of two balls after collisions

A. 1+e/1-e

B.(1+e)/2

C.( 1-e)/2

D. e

Can I get the solution sir

Join BYJU'S Learning Program