A cannon tilted up at a 30° angle fires a cannon ball at 75 m/s from atop a 14 m high fortress wall. What is the ball's
Posted: Sat Jul 02, 2022 7:08 pm
A cannon tilted up at a 30° angle fires a cannon ball at 75 m/s from atop a 14 m high fortress wall. What is the ball's impact speed on the ground below?
HINT: Energy is not a vector, so you don't have to deal with components. The "v" in kinetic energy is the object's (total) speed. Don't make this problem harder than it is; you just want to use conservation of energy for the time/location when the cannon is fired, to the time/location just before (or as) it lands. Also, if you don't like that the mass of the cannon ball is not given, just let the mass equal 10 kg. When you are done, notice how much easier the energy approach is from the earlier method we used for projectile motion.
What is the ball's impact speed on the ground below? (It's best to keep 3 significant figures for your answer.)
HINT: Energy is not a vector, so you don't have to deal with components. The "v" in kinetic energy is the object's (total) speed. Don't make this problem harder than it is; you just want to use conservation of energy for the time/location when the cannon is fired, to the time/location just before (or as) it lands. Also, if you don't like that the mass of the cannon ball is not given, just let the mass equal 10 kg. When you are done, notice how much easier the energy approach is from the earlier method we used for projectile motion.
What is the ball's impact speed on the ground below? (It's best to keep 3 significant figures for your answer.)