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IV. Conceptual Questions · Q1

Q.Why is it not possible to push a car from inside?

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✓ Free question

Step 1. Treat the person and the car together as ONE system. When the person pushes on the car's interior, by Newton's third law the car pushes back on the person with an equal and opposite force.

Step 2. Both of these forces act WITHIN the chosen system (car+person) — they are internal forces, and by Newton's third law internal forces always sum to zero and cannot change the total momentum (or produce net acceleration) of the system, exactly as in the horse-and-cart paradox discussed in this unit.

Step 3. For the car+person system to accelerate, an EXTERNAL force is required — for a real car this comes from the road (via friction on the driven wheels) reacting against the engine's torque, or from an outside agent pushing from outside the system.

Step 4. Since a person pushing from inside the car supplies no external force at all (both action and reaction stay inside the system), the car (with the person still inside, pushing) cannot be made to accelerate this way.

✓Final answer

Because the push (and its reaction) are both internal forces of the car+person system, they cancel and produce no net force on it — only an external force (e.g. friction from the road) can accelerate it.

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