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Even though action and reaction forces are equal in size, they may not cause equal accelerations. Why?
Because the forces act on the same object
Because reaction forces are always weaker in effect
Because each force acts on a different object, and the objects may have different masses
Because only the larger force causes acceleration
Because each force acts on a different object, and the objects may have different masses
Newton's Third Law states that action and reaction forces are equal in magnitude and opposite in direction, but they act on two different bodies. Since acceleration depends on both the force applied and the mass of the object according to Newton's Second Law, differing masses result in different accelerations.
Newton's Third Law states that action and reaction forces are equal in magnitude and opposite in direction, but they act on two different bodies. Since acceleration depends on both the force applied and the mass of the object according to Newton's Second Law, differing masses result in different accelerations.
When you push a heavy wall, you exert force on the wall, and it exerts an equal force back on you. You move (accelerate) backward because your mass is much smaller than the wall's, while the wall remains stationary due to its massive size.
F-M-A: Force equals Mass times Acceleration, and different masses make the acceleration dance!
F=ma тАФ Newton's Second Law of Motion
F12тАЛ=тИТF21тАЛ тАФ Newton's Third Law of Motion
According to Newton's Second Law, acceleration is defined by a=mFтАЛ. Because action and reaction forces act on separate objects (FABтАЛ=тИТFBAтАЛ), the acceleration produced depends on the inertial mass (m) of each respective object. If m1тАЛюАа=m2тАЛ, then a1тАЛюАа=a2тАЛ even if тИгF1тАЛтИг=тИгF2тАЛтИг.
Action and reaction forces never cancel each other because they act on different bodies.
Acceleration is inversely proportional to mass for a constant applied force.
The nature of the object (e.g., rigid vs. fluid) does not change the validity of Newton's Third Law.
Allows for the calculation of motion in interacting systems
Explains phenomena like rocket propulsion and recoil of guns
Rocket propulsion where gas mass is ejected to accelerate the rocket
Recoil velocity of a firearm when a bullet is fired
Option A is incorrect because action-reaction pairs, by definition, must act on different objects.
Option B is incorrect because action and reaction forces are strictly equal in magnitude.
Option D is incorrect because acceleration is produced by the net force acting on a specific body.
C is correct тАФ Since a=mFтАЛ, different masses experiencing equal forces will necessarily undergo different accelerations.
Always remember that action-reaction pairs cannot produce a net force on a single object; they only affect the motion of the two distinct objects involved.
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