A constant force of 35.9 N, directed at 28.7o from horizontal, pulls a mass of 14.7 kg horizontally a distance of 3.41 m. Calculate the work done by the force.
Fx = 35.9*cos28.7 = 31.49 N. = Hor.
component.
Work=Fx*d = 31.49 * 3.41 = 107.4 Joules
To calculate the work done by a force, we use the formula:
Work = Force × Distance × cos(θ)
In this case, the force is given as 35.9 N, the distance is 3.41 m, and the angle θ is 28.7 degrees.
First, we need to convert the angle from degrees to radians, as most trigonometric functions in mathematical formulas use radians.
To convert degrees to radians, we use the formula:
radians = (π/180) × degrees
So, in this case:
θ (in radians) = (π/180) × 28.7
Next, we plug the given values into the formula:
Work = 35.9 N × 3.41 m × cos((π/180) × 28.7)
Now, we can calculate the work using a scientific calculator:
Work ≈ 326.88 N.m
Therefore, the work done by the force is approximately 326.88 N.m.