A lawn roller is rolled across a lawn by a force
of 109 N along the direction of the handle,
which is 24.2� above the horizontal.
If the lawn roller develops 66.1 W of power
for 64 s, what distance is the roller pushed?
Answer in units of m.
To find the distance the roller is pushed, we can use the formula:
Power = Force * Distance / Time
Given:
Force = 109 N
Power = 66.1 W
Time = 64 s
First, let's convert the angle from degrees to radians. We have an angle of 24.2 degrees, which is equivalent to:
24.2 degrees * (π radians / 180 degrees) ≈ 0.423 radians
Next, let's find the distance. Rearranging the formula, we have:
Distance = Power * Time / Force
Plugging in the given values, we get:
Distance = (66.1 W) * (64 s) / (109 N)
Distance ≈ 38.72 m
Therefore, the roller is pushed a distance of approximately 38.72 meters.