00:01
All right, so here we have someone climbing up a mountain, and he wants to know how many bars he should take.
00:06
And so we're given the equation for how much energy would take for someone to go up.
00:16
So depending on their mass, the acceleration due to gravity and their height, we can get the energy in jewels of how much energy would take him to climb this far.
00:27
And so to get our units in jewels, we need to remember that the units of jewels are kilograms, meter, square, over second squared.
00:38
And so we're going to need to have our mass in kilograms.
00:42
Our height is already in meters, and acceleration of gravity is already in meters per second squared.
00:46
So the only thing that we need to convert is the mass.
00:49
So to convert the mass into kilograms, we know that there are 2 .2 pounds per one kilogram.
00:58
And so if we take 195 and divide it by 2 .2, we see that alexander weighs 88 .6.
01:10
Now to see how much energy he needs to actually climb up, we can use our equation down here.
01:15
E equals m g h.
01:18
So his mass is 88 .6 kilograms.
01:23
The acceleration due to gravity is 9 .81 meters per second squared.
01:29
And the height he is climbing is 5 ,060 meters.
01:39
So when we multiply all these together, it'll be 88 .6 times 9 .81.
01:45
Times 5060, we get a very large number, so 4 .3 million -ish, 4 .4 million -ish.
02:14
And so this is going to be in joules.
02:17
Now the bar, we're given how many calories per gram each of the different nutrients has.
02:25
And so we need to get this joules into calories.
02:35
And so these are calories with a capital c.
02:37
So what that really means is a kilocalory.
02:45
And so we know that one jule is equivalent, or sorry, one kilocalory is equal to 4 ,184 joules.
02:53
So 4184 joules is one calorie with a capital c...