A cannon is mounted on a sled resting on a frozen lake. When the fuse burns down, the cannon fires a cannonball at a target mounted on a second sled.The combined mass of the cannon and the sled is me kg, the mass of the cannonball is my = 50 kg, and the combined mass of the target and sled is m = 150 kg. You may assume the ice is frictionless. 400 %3D (a) If the cannon's speed is 5 m/s immediately after it fires, what is the cannonball's speed immediately after exiting the cannon? (b) If the cannonball becomes lodged in the target so that they stick together, what is the target's final velocity? 1 , target cannon spring Fulle (c) What fraction of the ball's initial kinetic energy is lost to other forms of energy as a result of the collision?

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Question 3 parts a-c

Question 3.
A cannon is mounted on a sled resting on a frozen lake. When the fuse burns down, the cannon fires a
cannonball at a target mounted on a second sled.The combined mass of the cannon and the sled is mc = 400
kg, the mass of the cannonball is m, = 50 kg, and the combined mass of the target and sled is mą = 150 kg.
You may assume the ice is frictionless.
(a) If the cannon's speed is 5 m/s immediately after it fires, what is the cannonball's speed immediately
after exiting the cannon?
(b) If the cannonball becomes lodged in the target so that they stick together, what is the target's final
velocity?
1
target
cannon
spring
ļanon
(c) What fraction of the ball's initial kinetic energy is lost to other forms of energy as a result of the
collision?
(d) If the cannon slides backwards into a spring of total length L = 3 m with spring constant k = 104
N/m that is mounted to a wall, then what will the length of the compressed spring be at the moment
the cannon is at rest?
(e) If the whole procedure is repeated, but this time the cannonball bounces off the target elastically, what
will be the magnitude and direction of the final velocity of the cannonball?
Transcribed Image Text:Question 3. A cannon is mounted on a sled resting on a frozen lake. When the fuse burns down, the cannon fires a cannonball at a target mounted on a second sled.The combined mass of the cannon and the sled is mc = 400 kg, the mass of the cannonball is m, = 50 kg, and the combined mass of the target and sled is mą = 150 kg. You may assume the ice is frictionless. (a) If the cannon's speed is 5 m/s immediately after it fires, what is the cannonball's speed immediately after exiting the cannon? (b) If the cannonball becomes lodged in the target so that they stick together, what is the target's final velocity? 1 target cannon spring ļanon (c) What fraction of the ball's initial kinetic energy is lost to other forms of energy as a result of the collision? (d) If the cannon slides backwards into a spring of total length L = 3 m with spring constant k = 104 N/m that is mounted to a wall, then what will the length of the compressed spring be at the moment the cannon is at rest? (e) If the whole procedure is repeated, but this time the cannonball bounces off the target elastically, what will be the magnitude and direction of the final velocity of the cannonball?
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