Answer:11.59 J
Explanation:
Given
mass of Particle [tex]m=69 gm[/tex]
Initially Particle moves towards left [tex]v_1=25 m/s[/tex]
Final velocity of Particle is towards Right [tex]v_2=31 m/s[/tex]
According to Work Energy theorem
Work done by all the Forces=change in Kinetic Energy
Work done by Force[tex]=\frac{mv_2^2}{2}-\frac{mv_1^2}{2}[/tex]
[tex]W=\frac{69\times 10^{-3}}{2}\left [ 31^-25^2\right ][/tex]
[tex]W=\frac{69\times 10^{-3}}{2}\left [ 961-625\right ][/tex]
[tex]W=11.59 J[/tex]