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Zorluk: OrtaNewton's Third Law (Action/Reaction)

An artillery cannon fires a heavy projectile horizontally across a testing ground. As expanding gases force the projectile rapidly forward out of the barrel, the entire cannon assembly recoils backward. Which of the following statements correctly describes the relationship between the forces acting on the projectile and the cannon?

  1. A
    The backward force on the cannon is significantly smaller than the forward force on the projectile because the cannon has a larger mass.
  2. B
    The cannon recoils backward because its heavy downward weight acts horizontally to counterbalance the projectile's momentum.
  3. The force accelerating the projectile forward is exactly equal in magnitude to the reaction force pushing the cannon backward.Cevap
  4. D
    The backward recoil is caused entirely by the projectile's resting inertia resisting the sudden forward acceleration.

Cevap

The force acting on the projectile and the reaction force acting on the cannon are exactly equal in magnitude.
Newton's Third Law dictates that all forces exist in pairs. During the firing sequence, the forward action force applied to the projectile generates a simultaneous, equal, and opposite backward reaction force on the cannon. The cannon moves backward much slower only because of its massive size, not because it experiences less force.

Adım Adım Çözüm

1
Identify the interacting physical bodies in the system.
The expanding explosive gases interact simultaneously with both the projectile and the cannon barrel.
Newton's Third Law applies to the mutual interaction forces between interacting objects.
2
Apply the principle of action and reaction to the interacting bodies.
The action force pushes the projectile forward, and a simultaneous reaction force pushes the cannon backward.
Forces always occur in equal and opposite pairs.
3
Evaluate the relationship between force, mass, and the resulting motion.
The forces are perfectly identical in magnitude. The cannon accelerates much less than the projectile only because it has significantly more mass.
Newton's Second Law (F=maF=ma) dictates that the same magnitude of force applied to a larger mass results in a smaller acceleration, which often creates the illusion of unequal forces.

Anahtar Kavram

Newton's Third Law (Action/Reaction)
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