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sergiy2304 [10]
3 years ago
9

Can we change the weight of any object. If we they explain it..?

Physics
1 answer:
const2013 [10]3 years ago
4 0
I can think of 3 ways to do that: (1) Glue an extra piece onto the object. (2) Cut a piece off of the object. (3). Take the object to a different planet, where the acceleration of gravity is different.
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If a planet has the same mass as the earth, but has twice the radius, how does the surface gravity, g, compare to g on the surfa
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Answer:

The surface gravity g of the planet is 1/4 of the surface gravity on earth.

Explanation:

Surface gravity is given by the following formula:

g=G\frac{m}{r^{2}}

So the gravity of both the earth and the planet is written in terms of their own radius, so we get:

g_{E}=G\frac{m}{r_{E}^{2}}

g_{P}=G\frac{m}{r_{P}^{2}}

The problem tells us the radius of the planet is twice that of the radius on earth, so:

r_{P}=2r_{E}

If we substituted that into the gravity of the planet equation we would end up with the following formula:

g_{P}=G\frac{m}{(2r_{E})^{2}}

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g_{P}=G\frac{m}{4r_{E}^{2}}

So we can now compare the two gravities:

\frac{g_{P}}{g_{E}}=\frac{G\frac{m}{4r_{E}^{2}}}{G\frac{m}{r_{E}^{2}}}

When simplifying the ratio we end up with:

\frac{g_{P}}{g_{E}}=\frac{1}{4}

So the gravity acceleration on the surface of the planet is 1/4 of that on the surface of Earth.

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