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
m_{1} = m_{2} = m
v_{1} = 3.0 m/sec
and
v_{2} = - 5.0 m/sec
the final speed is v_{f} = ?
using the conservation of momentum
because the two spheres approach each other and collide elastically
m_{1} v_{1} + m_{2} v_{2} = ( m_{1} + m_{2} ) v_{f}
m x 3 - m x 5 = ( m + m ) x v_{f}
m ( 3 - 5 ) = 2 m x v_{f}
- 2 = 2 x v_{f}
v_{f} = - 1 m/sec
so the final speeds of each sphere is v_{f} = - 1 m/sec
here negative sign shows the direction.
two spheres approach each other and collide elastically. If the masses are equal and the speeds...
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