The cannon on a pirate ships shoots cannon balls with a speed of 350m/s (the muzzle velocity). The cannon can be adjusted to shoot at any elevation above the horizontal.
When the cannon ball is shot, what impulse is delivered to the ship in kgm/s (answer with a positive number)? cannon ball mass is 5kg
The impulse delivered to the ship can be determined using the principle of conservation of momentum.
Impulse is defined as the change in momentum of an object. The momentum of an object is given by the product of its mass and velocity:
Momentum = mass x velocity
Since the cannonball is shot in the opposite direction of the ship's motion, the change in momentum for the ship will be equal in magnitude but opposite in direction to the momentum of the cannonball.
The momentum of the cannonball can be calculated as follows:
Momentum of cannonball = mass x velocity
= 5 kg x 350 m/s
= 1750 kgm/s
Therefore, the impulse delivered to the ship is 1750 kgm/s, with a positive sign indicating that it has the same direction of motion as the cannonball.