A cannon fires a shell at an angle of 55.0 above the horizontal. The shell has a mass of 17.5kg, and its initial speed as it leaves the cannon is 289m/s. The cannon is not anchored to the ground. It is mounted on a base -a large block of wood- which is sittin go n a level roadway. If the road exerts a steady kinetic friction force of 430 N on the cannons sliding base, how much time does it take for the cannon to stop sliding after it fires the shell.

1 answer

the horizontalmomentum of the cannon is 289*cos55 * 17.5

So, force*time=that momentum
solve for time.