00:01
Determine how high the person will jump in meters.
00:05
Now we can use our work energy theorem.
00:07
We have our work due to gravity, plus our work due to our normal force is equal to our change in kinetic energy.
00:15
Our work due to gravity is negative mass times gravity times height, and a work due to our normal force is force times distance.
00:24
Our distance is just going to be our 0 .9 meters minus our 0 .4 meters, which gives us 0 .5 meters.
00:32
We can set negative mgh plus fd equal to zero.
00:36
We plug in negative 84 times 9 .8 times h is equal to negative 1239 times d, which is 0 .5 meters.
00:50
So we can solve for height.
00:52
Height is our negative 1239 times 0 .5 meters divided by 84 times 9 .8, also with the negative sign.
01:02
So now let's plug this into a calculator.
01:06
1239 times .5 divided by 84 times 9 .8...