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We've heard of some crazy dieting fads, but leaving the planet may take the cake. We don't suggest you do that, but we do suggest you answer t...
Don't let this question about gravitational forces get you down! Yeah, yeah...that was an easy joke. You get what you pay for.
THE EARTH'S MASS IS ABOUT TO DOUBLE. Sorry for the extreme tone; we just want to make sure you understand the...gravity of the situation.
AP Physics 1: 2.2 Fields in Space 316 Views
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Description:
AP Physics 1: 2.2 Fields in Space. What is the acceleration due to gravity for objects dropped near the surface of Europa?
Transcript
- 00:00
Thank you We sneak and here's your shmoop du jour
- 00:05
brought to you by europa which is not a european
- 00:08
space colony Yet Europa one of jupiter's moons has a
- 00:13
mass approximately one tenth in a radius approximately one quarter
- 00:19
of those on earth as measured on earth In terms
Full Transcript
- 00:22
of g what is the acceleration due to gravity For
- 00:26
objects drop near the surface of europa And here the
- 00:29
potential answers Of course first thing we do once landing
- 00:36
on europa would be the trip Coming off our spaceship
- 00:39
would be one small step for man and one big
- 00:41
boobs for mankind welcoming shmoop All right so let's figure
- 00:45
out how hard that paul would be Luckily we know
- 00:47
how to calculate the surface gravity of an object The
- 00:50
formula is the gravitational constant or g multiplied by mass
- 00:54
divided by the square of the radius Well unfortunately we
- 00:58
don't have the numbers to plug into the formula because
- 01:01
we don't know the mass of a radius of europa
- 01:04
But what we do know is how europa's mass and
- 01:06
radius relate to first mass and radius So let's Think
- 01:10
about it like this The gravity of earth equals the
- 01:12
gravitational constant times the mass of the earth divided by
- 01:17
the square of the radius of the earth So to
- 01:20
see how europa's gravity relates to the earth's gravity are
- 01:23
equation would look about like this The gravity of your
- 01:26
over equals the gravitational constant times one tenth of the
- 01:30
earth's mass divided by the square of one quarter of
- 01:34
the earth's radius And now it can solve for the
- 01:37
ratio of point one point two Five squared which describes
- 01:41
the relationship between the mass and radius of europa Well
- 01:45
all we have to do is take point one and
- 01:46
divided by point both six to five and we get
- 01:49
one point Six That means the gravity of europa is
- 01:53
one point six times the gravity on earth making d
- 01:56
the correct answer All right well europe is pretty cool
- 01:59
name for a moon but maybe they'll name the next 00:02:01.726 --> [endTime] one something even cooler like alderaan or steve
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