Answer:15.66 J
Explanation:
mass of block [tex]\left ( m\right )=2.9 kg[/tex]
Force magnitude=7.5 N
Initial velocity =[tex]3.9\hat{i} m/s[/tex]
Final velocity=[tex]5.1 \hat{j} m/s[/tex]
Initial Kinetic Energy=[tex]\frac{1}{2}mv^2[/tex]
=[tex]\frac{1}{2}\times 2.9\times 3.9^2=22.05 J[/tex]
Final Kinetic Energy=[tex]\frac{1}{2}mv^2[/tex]
=[tex]\frac{1}{2}\times 2.9\times 5.1^2=37.714 J[/tex]
Work Done =Final -Initial Kinetic energy=37.714-22.056=15.66 J
