Question

# two spheres approach each other and collide elastically. If the masses are equal and the speeds...

two spheres approach each other and collide elastically. If the masses are equal and the speeds are v1=3.0m/s and v2=-5.0m/s. Determine the final speeds of each

given

masses are equal

m1 = m2 = m

v1 = 3.0 m/sec

and

v2 = - 5.0 m/sec

the final speed is vf = ?

using the conservation of momentum

because the two spheres approach each other and collide elastically

m1 v1 + m2 v2 = ( m1 + m2 ) vf

m x 3 - m x 5 = ( m + m ) x vf

m ( 3 - 5 ) = 2 m x vf

- 2 = 2 x vf

vf = - 1 m/sec

so the final speeds of each sphere is vf = - 1 m/sec

here negative sign shows the direction.

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