Two particles , of masses M and 2M , moving as shown , with speeds of 10 m/s and 5 m/s ,

collide elastically at the origin.After the collision , they move along the indicated directions with

speeds v_{1} and v_{2}, respectively. The values of v_{1} and v_{2} are nearly :

  • Option 1)

    6.5 m/s and 6.3 m/s

  • Option 2)

    3.2 m/s and 6.3 m/s

  • Option 3)

    6.5 m/s and 3.2 m/s

  • Option 4)

    3.2 m/s and 12.6 m/s

 

Answers (1)

 

Elastic Collision in 2 dimension -

\fn_jvn \vec{P_{i}}= \vec{P_{f}}

m_{1}v_{0}\: \: \hat{i}= \left ( m_{1}v_{1} \cos \Theta + m_{2}v_{2} \cos \beta \right )\hat{i}+\left ( m_{1}v_{1} \sin \Theta - m_{2}v_{2} \sin \beta \right )\hat{j}

- wherein