In the two-dimensional collision in Fig., the projectile particle has mass `m_1=m`, initial speed `v_u = 3v_0`, and final speed `v_(1f)=sqrt(5v_0)`. The initially stationary target particle has mass `m_1` = 2m and final speed `v_(2f)=v_2`. The projectile is scattered at an angle given by tan `theta_1` =2.0. (a) Find angle `theta_2`. (b) Find `v_2` in terms of `v_0` .(c) Is the collision elastic?

Answer

(a)`theta_2=45^@` ; (b)`v_2=sqrt2v_0` ; (c ) The collision is elastic