A man cleaning his apartment pushes a vacuum

cleaner with a force of magnitude 55.8 N.
The force makes an angle of 15.3
◦ with the horizontal
floor. The vacuum cleaner is pushed
3.55 m to the right along the floor.
Calculate the work done by the 55.8 N force.
Answer in units of J.
004 10.0

work = Force times COS(angle) times displacement.

To calculate the work done by a force, you can use the formula:

Work = Force x Distance x cos(angle)

In this case, the force is 55.8 N, the distance is 3.55 m, and the angle is 15.3 degrees.

1. Convert the angle to radians:
Angle in radians = (15.3 degrees) x (π/180)

2. Calculate the work using the formula:
Work = (55.8 N) x (3.55 m) x cos(angle in radians)

To simplify the calculation, I will provide the steps:

1. Convert the angle to radians:
Angle in radians = (15.3 degrees) x (π/180)
Angle in radians ≈ 0.267 radians

2. Calculate the work:
Work = (55.8 N) x (3.55 m) x cos(0.267 radians)
Work ≈ 183.689 J

Therefore, the work done by the 55.8 N force is approximately 183.689 Joules (J).