Answer :
The recoil speed of the 195 kg cannon, when firing a 9 kg cannonball at 339 m/s, is 1.6 m/s, calculated using the law of conservation of momentum.
The subject of this question is Physics, particularly mechanics, dealing with the principle of conservation of momentum. To find the recoil speed of the cannon, we use the law of conservation of momentum which states that the total momentum of a system before an event must equal the total momentum after the event, provided no external forces act on the system.
In the given example, a 9 kg cannonball is fired from a 195 kg cannon at a speed of 339 m/s. By conservation of momentum:
Masscannonball
× Velocitycannonball = Masscannon
× Velocitycannon
9 kg × 339 m/s = 195 kg × Velocitycannon
This gives us:
Velocitycannon = (9 kg × 339 m/s) / 195 kg
Velocitycannon = 1.6 m/s (to one decimal place)
Therefore, the recoil speed of the cannon is 1.6 m/s.
