00:01
Okay, so in this problem, we're told that an asteroid of mass 2 .6 times 10 to the 15 kilograms, moving at 32 kilometers per second, is going to collide with the earth somewhere in the pacific ocean.
00:15
And we're supposed to figure out the amount of water that will be evaporated on impact, knowing that 1 % of the asteroid's total energy is what's used to do that.
00:27
So we're told that the water here starts at 10 degrees c and we want to take it to a hundred degrees c, which is the boiling point of water.
00:42
And to solve this problem, what we're going to do is we're going to find the total energy of the asteroid.
00:48
We're going to take 1 % of the total energy of the asteroid and call that the energy used to boil the water.
01:02
And then we're going to define an energy, which is going to be used to raise the temperature of the water from 10 degrees celsius to 100 degrees celsius.
01:17
And the way this is going to work is it takes one calorie to increase the temperature of one gram of water by one degree c.
01:34
Okay, and a cow is 4 .186 joules.
01:43
So we need to go 100 degrees, right? sorry, 90 degrees.
01:50
So we take 4 .186 times 90 because we start at 10 degrees c and we want to go to 100 degrees c.
02:02
But this won't boil the water...