13. Major Smith fires a cannon at a pirate stronghold 31 meters high above the s
ID: 2090995 • Letter: 1
Question
13. Major Smith fires a cannon at a pirate stronghold 31 meters high above the sea on a cliff. The cannon is fired from the deck of a ship 4 meters above the sea. The cannon fires a 10 kg ball with a velocity of 60 m/s. The cliff is 150 meters from the ship. At what angle should the cannon be aimed so that the ball reaches the pirate cave at the top of its trajectory?
14. Pirate Bob hangs on a 10 meter long rope that will break if the Tension equals 750 N. The wind begins to swing Bob back and forth like a pendulum. Write an equation using symbols only that solves for the velocity at which the rope will break. Then solve for the velocity if Bob has a mass of 70 kg.
15. Captain Carmen and Ali dance on the deck of the Hawk. Ali swings Carmen in the air in a circle horizontal to the deck, so that her body moves at a radius of .85 m. If Carmen's mass is 50 kg, Ali's mass is 70 kg and the coefficient of static friction between Ali's shoes and the deck is .6, then what is the maximum velocity at which she can move without his feet slipping? Show force equation.
16. Captain Carmen fires a pistol at Captain Black, but the lead ball misses and hits oak mast. If the .05 kg ball is going at a speed of 8 m/s and the frictional force is 120 N, then how deep will the ball go into the mast? Sabotage
Explanation / Answer
height to reach 27m,
(60sin(theta))^2 = 2*g*27
theta = 22.54
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