Question

a toy cannon has a mass of 200 kg and sits on a frictionless cart the cannon fires a 1.0 kg cannon ball at 35 ms what will the recoil velocity of the cannon be​

Answer 1

The recoil velocity of the toy cannon will be 0.175 m/s.

Step-by-step explanation:

To find the recoil velocity of the toy cannon, we can use the principle of conservation of momentum. The initial momentum of the system (cannon and cannonball) is zero, since it is at rest. When the cannon is fired, the momentum of the cannonball is 1.0 kg × 35 m/s = 35 kg·m/s in one direction.

According to conservation of momentum, the cannon must recoil with the same momentum in the opposite direction, giving it a recoil velocity of 35 kg·m/s divided by the mass of the cannon, 200 kg.

Therefore, the recoil velocity of the cannon will be 35 kg·m/s divided by 200 kg = 0.175 m/s.