Answer:896 N
Explanation:
Given
mass of bullet [tex]m=8.7 gm[/tex]
Length of barrel [tex]d=105 cm=1.05 m[/tex]
final velocity [tex]v=465 m/s[/tex]
initial velocity [tex]u=0 m/s[/tex]
Work done by all the forces is equal to change in kinetic Energy
[tex]F\cdot d=\frac{1}{2}\times mv^2-0[/tex]
[tex]F_{avg}\times 1.05=\frac{1}{2}\times 8.7\times 10^{-3}\times 465^2[/tex]
[tex]F_{avg}=\frac{0.5\times 8.7\times 10^{-3}\times 465^2}{1.05}[/tex]
[tex]F_{avg}=895.789 Na\pprox 896 N[/tex]
