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

During a space mission in zero gravity, a compressed spring mechanism is used to separate a 10 kg10 \text{ kg} research probe from a 500 kg500 \text{ kg} main spacecraft. When the spring releases and pushes the two objects apart, which of the following statements correctly describes the interaction between them?

  1. A
    The main spacecraft exerts a larger force on the probe due to its greater inertia, overpowering the probe's reaction force.
  2. B
    The main spacecraft experiences a greater acceleration because its significantly larger mass amplifies the force applied by the spring.
  3. Both objects experience the exact same magnitude of force, but the lighter probe undergoes a much greater acceleration.Cevap
  4. D
    The forces exerted on each object are equal and opposite, meaning they cancel each other out and prevent any initial acceleration.

Cevap

Both objects experience the exact same magnitude of force, but the lighter probe undergoes a much greater acceleration.
According to Newton's Third Law, the force exerted on the probe is exactly equal in magnitude and opposite in direction to the force exerted on the spacecraft. However, because the probe has a much smaller mass, Newton's Second Law (a=F/ma=F/m) dictates that it will experience a proportionally larger acceleration.

Adım Adım Çözüm

1
Analyze the forces acting on each object during the separation.
The spring applies an equal and opposite force to both the probe and the spacecraft.
Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction.
2
Determine how each object's mass affects its resulting acceleration.
The 10 kg10 \text{ kg} probe will accelerate much faster than the 500 kg500 \text{ kg} spacecraft.
Newton's Second Law (F=maF=ma) shows that acceleration is inversely proportional to mass when the force is constant (a=F/ma=F/m).

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Newton's Third Law (Action/Reaction)
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Newton's Third Law (Action/Reaction)

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