A man pushes a lawn mower on a level lawn with a force of 192 N. If 50% of this force is directed downward, how much work is done by the man pushing the mower 7.3 m?
To calculate the work done by the man pushing the lawn mower, we need to use the formula:
Work = Force × Distance × cos(θ)
In this equation, θ represents the angle between the force and the direction of motion. Since 50% of the force is directed downward, we can assume that the remaining 50% is directed horizontally.
First, let's calculate the horizontal component of the force:
Horizontal Force = 50% of the force = 0.5 × 192 N = 96 N
Since the man pushes the lawn mower on a level lawn, the angle θ between the force and the direction of motion is 0°. Therefore, the cosine of 0° is 1.
Now, we can substitute the values into the formula to calculate the work done:
Work = Horizontal Force × Distance × cos(0°)
= 96 N × 7.3 m × 1
= 700.8 Joules
Therefore, the man does 700.8 Joules of work pushing the lawn mower 7.3 meters on the level lawn.