Final answer:
The question involves the physics concepts of momentum conservation and work-energy principle to calculate the recoil velocity of a gun and the force exerted on its internal parts during firing.
Step-by-step explanation:
The question pertains to the calculation of recoil velocity and the forces involved when firing a projectile from a gun. This involves the application of Newton's third law and the conservation of momentum to determine the recoil experienced by the gun when a bullet is fired. Utilizing the provided data, we first calculate the recoil velocity using the conservation of momentum: the momentum of the bullet must equal the momentum of the recoiling parts. This can be represented by the equation m_bullet * v_bullet = m_plunger * v_plunger.
To solve for the average force exerted by the gun on an internal part such as a plunger during recoil, we can apply the work-energy principle. The force exerted over a stopping distance can be found by using the equation for work done, where work is the change in kinetic energy. F_avg * d = (1/2) * m_plunger * v_plunger^2, where 'd' is the stopping distance.
Finally, to compare the force exerted on the gun if the bullet is accelerated in a given time, we use the equation F = m_bullet * (v_bullet / t), with 't' being the acceleration time. This allows us to understand the effects of a gun's internal mechanisms designed to reduce recoil.