Explanation:
Terminal velocity is given by:
Here, m is the mass of the falling object, g is the gravitational acceleration, is the drag coefficient,
is the fluid density through which the object is falling, and A is the projected area of the object. in this case the projected area is given by:
Recall that drag coefficient for a horizontal skydiver is equal to 1 and air density is .
Without drag contribution the motion of the person is an uniformly accelerated motion, thus:
Answer:
10,200 Cal. per day
Explanation:
The mouse consumes 3.0 Cal each day, and has a mass of 20 grams. We can use this data to obtain a ratio of energy consumption per mass
.
For the human, we need to convert the 68 kilograms to grams. We can do this with a conversion factor. We know that:
,
Now, we can divide by 1 kg on each side
,
.
Using this conversion factor, we can obtain the mass of the human in grams, instead of kilograms. First, lets take:
We can multiply this mass for the conversion factor, we are allowed to do this, cause the conversion factor equals 1, and its adimensional
Now that we know the mass of the human on grams, we can multiply for our ratio of energy consumption
So, we would need 10,200 Cal per day.