two perfect spheres of mass $6 k g$ and $4 k g$ moving with velocities $6 m s^{- 1}$ and $4 m s^{- 1}$ undergo head -on-collision. Their velocities after the collision respectively in $m s^{- 1}$ are:

4

and

4

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

4.4

and

4.4

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

2

and

- 8

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

4.4

and

4

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

Open in App

Solution

The correct option is C $2$ and $- 8$
$m_{1} = 6 k g$ , $u_{1} = 6 m / s$
$m_{2} = 4 k g$ , $u_{2} = 4 m / s$
from conservation of me momentum and energy
$V_{1} = (\frac{m_{1} - m_{2}}{m_{1} + m_{2}}) u_{1} + (\frac{2 m_{2}}{m_{1} + m_{2}}) u_{2}$
$V_{2} = (\frac{m_{2} - m_{1}}{m_{1} + m_{2}}) u_{2} + (\frac{2 m_{1}}{m_{1} + m_{2}}) u_{1}$
$V_{2} = \frac{4 - 6}{4 + 6} \times 6 + 4 + \frac{2 \times 6}{4 + 6} \times 6$
$V_{2} = - 8 m / s$
$V_{1} = (\frac{6 - 4}{6 + 4}) \times 6 + \frac{2 \times 4}{4 + 6} \times 4$
$V_{1} = + 2 m / s$

Suggest Corrections

Similar questions

Q. Two small glass spheres of masses 10 g and 20 g are moving in a straight line in the same direction with velocities of

3 m s^{- 1}

and

2 m s^{- 1}

respectively. They collide with each other. After collision, glass sphere of mass 10 g moves with a velocity of

2.5 m s^{- 1}

. Find the velocity of the second ball after collision.

Two plastic spheres of masses 10 g and 20 g are moving in a straight line in the same direction with velocities of 3 ms^–1 and 2 ms^–1 respectively. They collide with each other and after collision the plastic sphere of mass 10 g moves with a velocity of 2.5 ms^–1. Find the velocity of the second ball after collision.

Q. Two balls initially moving in same direction with speed