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AP Physics 1: 2.2 Fields in Space. What is the acceleration due to gravity for objects dropped near the surface of Europa?

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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

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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