The acceleration of the gun will be 25.0 m\s². Option A is correct.
The rate of recoil velocity change with respect to time is known as acceleration. According to Newton's second law, the eventual effect of all forces applied to a body is its acceleration.
Given data;
Mass of guns,[tex]\rm m_g = 10 \ kg[/tex]
Mass of the fired object,[tex]\rm M =0.0200 \ kg[/tex]
Force,[tex]\rm F= 250 \ N[/tex]
Acceleration of the mass,[tex]\rm a_m= 12500m/s^2[/tex]
Acceleration of the gun,[tex]\rm a_g=?[/tex]
From Newton's second law;
[tex]\rm \sum F=ma[/tex]
[tex]\rm F_g= (M-m)a_g \\\\ \rm 250= (10-0.200)a_g\\\\ a_g= 25.0 \ m /s^2[/tex]
The acceleration of the gun will be 25.0 m\s².
Hence,option A is correct.
To learn more about acceleration, refer to the link;
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