You are a pirate working for Dread Pirate Roberts. You are in charge of a cannon...

You are a pirate working for Dread Pirate Roberts. You are in charge of a cannon that exerts a force 20000 N on a cannon ball while the ball is in the barrel of the cannon. The length of the cannon barrel is 1.84 m and the cannon is aimed at a 50◦ angle from the ground.

(1)The acceleration of gravity is 9.8 m/s2 . If Dread Pirate Roberts tells you he wants the ball to leave the cannon with speed v0 = 76 m/s, what mass cannon ball must you use? Answer in units of kg.

(2)Assuming the Dread Pirate Roberts never misses, how far from the end of the cannon is the ship that you are trying to hit (Neglect dimensions of cannon)? Answer in units of m.

Expert Solution

2. angle with ground = 50⁰

initial velocity v₀ = 76 m/s

so distance of ship which is being hit is S = v_0² sin2/g

=76 * 76 * sin(100⁰)/9.8

= 5776 * 0.984/9.8

= 579.95

so distance of ship is approximately 580 m.

genius_generous answered 2 years ago

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