A lawn roller is pushed across a lawn by a force of 103 N along the direction of the handle, which is 22.5° above the horizontal. If 63.0 W of power is developed for 90.0 s, what distance is the roller pushed?
To find the distance the roller is pushed, we can use the formula for power:
power = work / time
Given that the power developed is 63.0 W and the time is 90.0 s, we can rearrange the formula to solve for work:
work = power * time
Now let's calculate the work done on the lawn roller:
work = 63.0 W * 90.0 s = 5670 J
The work done on an object is equal to the force applied multiplied by the displacement of the object in the direction of the force. So we can further use the formula:
work = force * distance
Rearranging the formula, we can solve for distance:
distance = work / force
We have the work and force values, so let's calculate the distance:
distance = 5670 J / 103 N = 55 m
Therefore, the roller is pushed a distance of 55 meters.