A woman pushes a lawn mower with a con-

stant force of 112 Newtons at an angle of
37� with respect to the horizontal. The lawn
mower moves at a speed of 20 cm/sec.
What is her power output? (1 hp = 746
Watts)

v = .2 m/s

F = 112 cos 37

power = F v = .2 * 112 cos 37 Watts

to get HP divide by 746

To find the power output, we need to calculate the work done by the woman pushing the lawn mower. The formula for work is given by:

Work = Force * Distance * cos(theta)

Where:
- Force is the applied force (in Newtons)
- Distance is the distance covered (in meters)
- theta is the angle between the applied force and the direction of motion

To find the distance covered, we need to convert the speed from centimeters per second to meters per second since the formula for work requires distance in meters.

Distance = Speed / 100

Now, let's plug in the values we have:

Force = 112 N
Distance = 20 cm / 100 = 0.2 m
theta = 37 degrees

Work = 112 N * 0.2 m * cos(37 degrees)

To calculate the power output, we need to divide the work done by the time taken. However, the time is not given in this problem. So we'll assume it to be 1 second for simplicity.

Power = Work / Time

Now let's calculate the power output:

Power = (112 N * 0.2 m * cos(37 degrees)) / 1 s

Using a calculator, we find:

Power ≈ 42.5 Watts

To convert this to horsepower, we use the conversion factor of 1 hp = 746 Watts:

Power = 42.5 Watts / 746

And finally:

Power ≈ 0.057 hp