Respuesta :

The recoil speed of the cannon is 9 m/s

Explanation:

Here momentum is conserved,

Initial momentum = Final momentum

Since the system is in rest initially initial momentum is zero,

So we have

               Final momentum = 0

               Momentum of cannon + Momentum of cannon ball = 0

Mass of cannon = 100 kg

Mass of cannon ball = 10 kg

Speed of cannon ball = 90 m/s

               100 x Speed of cannon + 90 x 10 = 0

                100 x Speed of cannon = -900

                Speed of cannon = -9 m/s

The recoil speed of the cannon is 9 m/s