70.8k views
5 votes
A man pushes a cart with force of 120-N at an angle of 50 degrees with the ground. If he walks a horizontal displacement of 20-m going to cashier who’s much work is done!

User Tbridge
by
4.9k points

1 Answer

4 votes

Answer:

1543 J

Step-by-step explanation:

The work done by a force when moving an object is given by the equation:


W=Fd cos \theta

where:

F is the magnitude of the force applied on the object

d is the displacement of the object


\theta is the angle between the direction of the force and of the displacement

For the cart pushed in this problem, we have:


F=120 N is the force applied by the man


d=20 m is the displacement of the cart


\theta=50^(\circ) is the angle between the directions of the force and of the displacement

Solving for W, we find the work:


W=(120)(20)(cos 50^(\circ))=1543 J

User Sebastian Dietz
by
4.5k points