Rosie (mass 58 kg) pushes a box with a horizontal force of 170 N (38.216 lb) at a speed
16 m/min. What is Rosie’s power output?
Answer in units of W
16 m/min * 1 min/60 sec = 16/60 m/s
= 4/15 m/s
F * v = power = (170 * 4)/15 Watts
To determine Rosie's power output, we need to calculate the rate at which she is doing work. Power is defined as the work done per unit of time.
First, let's convert Rosie's speed from meters per minute to meters per second. We know that there are 60 seconds in one minute, so we divide 16 m/min by 60 to get the speed in meters per second:
16 m/min ÷ 60 s/min = 0.267 m/s
Next, we calculate the work done by Rosie using the formula: work = force × distance
Since Rosie pushes the box horizontally, the distance over which she applies force is not given. Therefore, we cannot directly calculate the work done. However, if we assume that the box moves a certain distance while Rosie applies a constant force, we can calculate the work based on that distance.
Now, let's assume that the box moves a distance of d meters. The work done by Rosie can be expressed as:
work = force × distance = 170 N × d
Finally, we can calculate the power using the formula: power = work / time
However, we need to know the time it took for Rosie to push the box to calculate the power accurately. Without that information, it is not possible to determine Rosie's power output.