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A man shoots a rifle and the force of the shot results in recoil. The magnitude of the force on the rifle __________ the magnitude of force on the bullet, and the magnitude of acceleration of the rile __________ that of the bullet.
 

Option: 1

is less than . . . is less than


Option: 2

is less than . . . is greater than


Option: 3

equals . . . is less than


Option: 4

is greater than . . . is less than

 


Option: 5

equals . . . equals


Answers (1)

  • From Newton's third law of motion, we know that - for every action, there is an equal and opposite reaction.
  • Now, whenever a bullet is fired from a gun, the gun exerts a certain amount of force on the bullet (in forward direction). According to the previously mentioned Newton's third law of motion, the bullet will also exert an equal force on the bullet (in a backward direction). So, the force exerted on the bullet and the force exerted on the gun will be equal.
  • Acceleration is dependent on force and mass (a = F/m). As the applied force on a bullet and a gun are equal, the magnitude of their acceleration will be dependent only on their masses. Now, acceleration is inversely proportional to the mass. This implies that one who has the greater mass will possess less acceleration. Here, a gun has greater mass than a bullet. So, the acceleration of the gun will be less than the acceleration of the bullet.
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Sumit Saini

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