Three spheres of equal mass, $1\mathrm{.}18$ kg and radius $0\mathrm{.}286$ m are arranged to collide as shown below. The blue sphere comes in from the right at velocity $1\mathrm{.}1$ m$/$s and collides simultaneously with the two red spheres. Due to symmetry, the red spheres leave with velocities of equal magnitude, v$,$ and at equal angles, theta, above and below the horizontal axis, respectively. The blue sphere has a velocity, v$\text{'}$ with no y$-$component $($again due to symmetry$)$ after the collision. This time there is energy, $0\mathrm{.}4$ J$,$ lost in the collision. Determine the final speed shared by each of the red spheres $($in m$/$s$)$ after the collision.

 

Transcribed Image Text:

O A B O A B