Question

A bullet of mass $m$is fired from the gun, the accelerator of the bullet is,
$\left( A \right)$ greater than the acceleration of the gun
$\left( B \right)$ equal to the acceleration of the gun
$\left( C \right)$ equal but opposite to the acceleration of the gun
$\left( D \right)$ directly proportional to the mass of the bullet
$\left( E \right)$ inversely proportional to the force of the bullet.

Answer 1

Hint: Gun is working based on the principle of Force by using the trigger. In the gun first we propel a trigger, then the spring mechanism moves backwards on the cartridge. When the spring releases, the bullet starts igniting or is launched. Inside the body of the gun, there is a hollow shape and it also increases the force.

Complete step by step answer:
In the gun if the action is started, a reaction pair is formed when the bullet is fired. So equal and opposite force acts on it.
we know that acceleration is caused due to the force of the objects.
The expression for finding force is
$Force = mass \times acceleration$
We can change it as acceleration, we get
$Acceleration = \dfrac{{Force}}{{Mass}}$
We know that if the mass of the object is low then the acceleration is high.
From the question, assume that the bullet is low, the acceleration of the bullet is high.
Hence, from the above option, greater than the acceleration of the gun is the correct answer.

Note: In the given question we have used Newton's third law of motion which states that every action has a reaction. So If the action happens reaction also happens. We know that the force is proportional to the mass and acceleration. This situation is similar to force exerted by earth on us and hence we also apply a force on earth, but as the mass of earth is so huge it has negligible acceleration.