A cannonball with a mass of 15.880 kg is fired from a cannon. The cannonball leaves the cannon with 422 kJ of kinetic energy. The cannon makes an angle of θ = 25.870 o with the ground as shown in the daigram (not to scale). The castle wall is d = 3820 m from the cannon. Ignore any effects due to air resistance. The acceleration due to gravity is 9.80 ms-2. This castle is built in the future with special building materials that allow it to have very high walls.

1. What is the speed of the cannonball as it leaves the cannon? m/s

2. What is the initial vertical velocity of the cannon ball? vy0 = ? m/s upwards

3. What is the maximum height reached by the cannonball? H=? m above the ground

4. How high above the ground level does the cannonball hit the wall? height = ?m

5. What speed is the cannonball travelling at when it hits the wall? ? m/s

6. What is the magnitude of the momentuum of the cannonball when it hits the wall? ? kgms-1

7. The cannonball comes to a stop in 0.05750 s. What is the magnitude of the average force that the cannonball applies on the castle wall during the collision? ?N