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2 years ago

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a new planet is discovered that has twice the earth’s mass and twice the earth’s radius. on the surface of this new planet, a pe

rson who weighs 500 n on earth would experience a gravitational force of

1 answer:

Irina18 [472]2 years ago

8 0

Answer: 250n

Explanation:

The formula for gravitational force is: F = (gMm)/r^2

There are two factors at play here:

1) The mass of the planet 'M'

2) The radius 'r'

We can ignore the small M and the g, they are constants that do not alter the outcome of this question.

You can see that both M and r are double that of earth. So lets say earth has M=1 and r=1. Then, new planet would have M=2 and r=2. Let's sub these two sets into the equation:

Earth. F = M/r^2 = 1/1

New planet. F = M/r^2 = 2/4 = 1/2

So you can see that the force on the new planet is half of that felt on Earth.

The question tells us that the force on earth is 500n for this person, so then on the new planet it would be half! So, 250n!

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The water required to pump all the water to a platform 2 feet above the top of the pool is is 6061310.32 foot-pound.

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Given that,

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Using formula of area

$A=\pi r^2$

Put the value into the formula

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Where, W = water weight

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Put the value into the formula

$F=62.5\times(441\pi\times\Delta h)$

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Using formula of work done

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Put the value into the formula

$W=27562.5\pi\times\Delta h\times(10-h)\ ft\ lbs$

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Using formula of work done

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Put the value into the formula

$W=\int_{0}^{10}{27562.5\pi\\times(10-h)}dh$

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To pump 2 feet above platform, then each slice has to be lifted an extra 2 feet,

So, the total distance to lift slice is (12-h) instead of of 10-h

We need to calculate the water required to pump all the water to a platform 2 feet above the top of the pool

Using formula of work done

$W=\int_{0}^{h}{W}$

Put the value into the formula

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$W=6061310.32\ foot- pound$

Hence, The water required to pump all the water to a platform 2 feet above the top of the pool is is 6061310.32 foot-pound.

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