Answer:
1543 J
Explanation:
The work done by a force when moving an object is given by the equation:
[tex]W=Fd cos \theta[/tex]
where:
F is the magnitude of the force applied on the object
d is the displacement of the object
[tex]\theta[/tex] is the angle between the direction of the force and of the displacement
For the cart pushed in this problem, we have:
[tex]F=120 N[/tex] is the force applied by the man
[tex]d=20 m[/tex] is the displacement of the cart
[tex]\theta=50^{\circ}[/tex] is the angle between the directions of the force and of the displacement
Solving for W, we find the work:
[tex]W=(120)(20)(cos 50^{\circ})=1543 J[/tex]
