A man pushes a lawn mower on a level lawn with a force of 203 N. If 44% of the force is directed horizontally, how much work is done by the man in pushing the mower 5.4 m?

To find the work done by the man in pushing the mower, we first need to calculate the horizontal component of the force applied by the man. Given that 44% of the force is directed horizontally, we can calculate the horizontal force as follows:

Horizontal force = 44% * 203 N = 0.44 * 203 N = 89.32 N

Now, we can calculate the work done by the man using the work done formula:
Work = Force * Distance

In this case, the force is the horizontal force (89.32 N) and the distance is given as 5.4 m.

Work = 89.32 N * 5.4 m = 481.128 Nm

Therefore, the man does approximately 481.128 joules of work in pushing the mower 5.4 meters.