A worker pushes a box with a horizontal force of 50.0 N at an angle of 24 degrees over a level distance of 5.0 meters. what net work is done on the box?
work=50*cos24*5 Joules
To determine the net work done on the box, we can use the formula:
Net work = Force * Distance * cosine(theta)
Where:
- Force is the magnitude of the applied force (50.0 N in this case)
- Distance is the distance covered in the direction of the force (5.0 meters in this case)
- Theta is the angle between the force and the direction of motion (24 degrees in this case)
First, we need to find the cosine of theta, which can be done using a calculator or referencing a trigonometric table. The cosine of 24 degrees is approximately 0.9135.
Now, let's plug in the values to find the net work:
Net work = 50.0 N * 5.0 meters * 0.9135
Net work = 227.875 Joules
Therefore, the net work done on the box is approximately 227.875 Joules.