Answer:
184 J
Explanation:
We are given that
Mass of crate=26 kg
Initial velocity=u=3.75 m/s
Direction=[tex]\theta=37^{\circ}[/tex] W of N
Final velocity=v=5.31 m/s
Direction=[tex]63^{\circ}[/tex]S of E
We have to find the work done on the crate to change its velocity.
By using work energy theorem
Work done=Change in kinetic energy
Work done=[tex]\frac{1}{2}mv^2-\frac{1}{2}mu^2[/tex]
Work done=[tex]\frac{1}{2}(26)(5.31)^2-\frac{1}{2}(26)(3.75)^2[/tex]
Work done=367 J-183 J=184 J