Mike pulls a 4.5 kg sled across level snow with a force of 250 N along a rope that is 35.0° above the horizontal. If the sled moves a distance of 63.8 m, how much work does Mike do?
250 cos35 * 63.8 = ___ J
You don't need to use the mass.
To find the work done by Mike, we can use the formula:
Work = force × distance × cosθ
where
force = 250 N (the force applied by Mike)
distance = 63.8 m (the distance the sled moves)
θ = 35.0° (the angle between the force and the direction of motion)
First, we need to calculate the horizontal component of the force. This can be found using the formula:
horizontal force = force × cosθ
horizontal force = 250 N × cos(35.0°)
Now we can substitute the values into the work formula:
Work = horizontal force × distance
Work = (250 N × cos(35.0°)) × 63.8 m
Calculating this expression will give us the work done by Mike.