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Byju's Answer

Standard XII

Physics

The 'e' Equation

A ball collid...

Question

A ball collides head on with another stationary ball with double of its own mass with a velocity of $1.5 m / s$ . If the coefficient of resolution is 0.6 then after the collision their velocities will be-

- 0.1 m / s .

0.8 m / s

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0.8 m / s .

0.1 m / s

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0.1 m / s .

8 m / s

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8 m / s .

0.1 m / s

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Solution

The correct option is A $- 0.1 m / s .$ & $0.8 m / s$
$v_{1} = (\frac{m_{1} - e m_{2}}{m_{1} + m_{2}}) u_{1}$
$v_{1} = \frac{(m - 2 m (0.6))}{3 m} u_{1} = (\frac{1 - 1.2}{3}) u_{1}$
$= - \frac{0.2}{2} \times 1.5 = - 0.1 m / s$
also $e = \frac{v_{2} - v_{1}}{u_{1} - u_{2}} \Rightarrow 0.6 = \frac{v_{2} + 0.1}{1.5 - 0}$
$\Rightarrow v_{2} = 0.6 \times 1.5 - 0.1 = 0.9 - 0.1 = 0.8 m / s$

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A ball collides head on with another stationary ball with double of its own mass with a velocity of 1.5m/s. If the coefficient of resolution is 0.6 then after the collision their velocities will be-

The correct option is A −0.1m/s. & 0.8m/sv1=(m1−em2m1+m2)u1v1=(m−2m(0.6))3mu1=(1−1.23)u1=−0.22×1.5=−0.1m/salso e=v2−v1u1−u2⇒0.6=v2+0.11.5−0⇒v2=0.6×1.5−0.1=0.9−0.1=0.8m/s

A ball collides head on with another stationary ball with double of its own mass with a velocity of $1.5 m / s$ . If the coefficient of resolution is 0.6 then after the collision their velocities will be-