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 need to use the formula:
Distance = Power * Time / Force
Given:
Power (P) = 66.1 W
Time (t) = 64 s
Force (F) = 109 N
Let's plug in the values into the formula and solve for Distance:
Distance = (Power * Time) / Force
Distance = (66.1 W * 64 s) / 109 N
First, let's calculate the numerator:
Numerator = Power * Time
Numerator = 66.1 W * 64 s
To calculate this, we multiply the power by time:
Numerator = 4222.4 W·s (watt-seconds)
Now, let's substitute the numerator value back into the original formula:
Distance = Numerator / Force
Distance = 4222.4 W·s / 109 N
Finally, we calculate the distance by dividing the numerator by the force:
Distance = 38.72 m (rounded to two decimal places)
Therefore, the roller is pushed a distance of approximately 38.72 meters.