Question

we know that according to newton's 3rd law of motion, every action has an equal and opposite reaction, then if we hit a scrap of paper with a pen, does the pen throw itself up?

Answer 1

No. Because the force can be equal but the mass of the pen is greater than the paper.

Answer 2

No, in this case Newton's 3rd law of Motion doesn't works because here if we assume that the force is equal yet the Inertia of pen is greater than the paper so pen doesn't throw itself up. Also, when pen apply force on the paper then paper cannot apply the same amount of Force on the paper.


For this,


Let,

Mass of Paper = 1 g

Mass of Pen = 10 g

Acceleration of paper = 1 m/s^2

Acceleration of pen = 1 m/s^2


Now,


Force applied by pen = Mass x Acceleration

=> F = 10 g x 1 m/s^2

=> F = 10/1000 x 1

=> F = 0.01 N

Again,


Force Applied by Paper = Mass x Acceleration

=> F' = 1 x 1

=> F' = 1/1000 x 1

=> F' = 0.001 N


Hence,


=> F > F'


So that it does not throw itself.





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