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Thank you We sneak and here's your shmoop du jour

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brought to you by europa which is not a european

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space colony Yet Europa one of jupiter's moons has a

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mass approximately one tenth in a radius approximately one quarter

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of those on earth as measured on earth In terms

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of g what is the acceleration due to gravity For

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objects drop near the surface of europa And here the

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potential answers Of course first thing we do once landing

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on europa would be the trip Coming off our spaceship

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would be one small step for man and one big

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boobs for mankind welcoming shmoop All right so let's figure

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out how hard that paul would be Luckily we know

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how to calculate the surface gravity of an object The

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formula is the gravitational constant or g multiplied by mass

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divided by the square of the radius Well unfortunately we

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don't have the numbers to plug into the formula because

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we don't know the mass of a radius of europa

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But what we do know is how europa's mass and

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radius relate to first mass and radius So let's Think

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about it like this The gravity of earth equals the

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gravitational constant times the mass of the earth divided by

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the square of the radius of the earth So to

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see how europa's gravity relates to the earth's gravity are

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equation would look about like this The gravity of your

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over equals the gravitational constant times one tenth of the

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earth's mass divided by the square of one quarter of

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the earth's radius And now it can solve for the

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ratio of point one point two Five squared which describes

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the relationship between the mass and radius of europa Well

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all we have to do is take point one and

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divided by point both six to five and we get

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one point Six That means the gravity of europa is

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one point six times the gravity on earth making d

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the correct answer All right well europe is pretty cool

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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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