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Byju's Answer

Standard XII

Physics

The 'e' Equation

Two balls ini...

Question

Two balls initially moving in same direction with speed $10 {m s}^{- 1}$ and $5 {m s}^{- 1}$ make a head-on collision. After collision, they move with speed $4 {m s}^{- 1}$ and $6 {m s}^{- 1}$ in the same direction. Coefficient of restitution of collision is :

0.2

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0.4

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0.6

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0.8

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Solution

The correct option is A 0.4
Given,

$u_{1} = 10 m / s$

$u_{2} = 5 m / s$

$v_{1} = 4 m / s$

$v_{2} = 6 m / s$

The coefficient of restitution of collision,

$e = \frac{v_{2} - v_{1}}{u_{1} - u_{2}}$

$e = \frac{6 - 4}{10 - 5} = \frac{2}{5}$

$e = 0.4$

The correct option is B.

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Two balls initially moving in same direction with speed 10ms−1 and 5ms−1 make a head-on collision. After collision, they move with speed 4ms−1 and 6ms−1 in the same direction. Coefficient of restitution of collision is :

The correct option is A 0.4Given,u1=10m/su2=5m/sv1=4m/sv2=6m/sThe coefficient of restitution of collision,e=v2−v1u1−u2e=6−410−5=25e=0.4The correct option is B.

Two balls initially moving in same direction with speed $10 {m s}^{- 1}$ and $5 {m s}^{- 1}$ make a head-on collision. After collision, they move with speed $4 {m s}^{- 1}$ and $6 {m s}^{- 1}$ in the same direction. Coefficient of restitution of collision is :

The correct option is A 0.4
Given,

$u_{1} = 10 m / s$

$u_{2} = 5 m / s$

$v_{1} = 4 m / s$

$v_{2} = 6 m / s$

The coefficient of restitution of collision,

$e = \frac{v_{2} - v_{1}}{u_{1} - u_{2}}$

$e = \frac{6 - 4}{10 - 5} = \frac{2}{5}$

$e = 0.4$

The correct option is B.