I don't understand why we would weigh less at earth's center(as opposed to sea level). Looking around the net, I have seen different approaches to this problem, each with different solutions.(adsbygoogle = window.adsbygoogle || []).push({});

According to Newton's universal law of gravitation:

F= Gm_{1}m_{2}/r^{2}

If this is the case, then as r approaches nearly zero as the object gets closer to the center of the earth, the denominator gets smaller and smaller, making the quotient approach infinity.

On the other hand, I've heard the explanation that all the mass around you cancels each other out at the center of the earth.

This explanation also seems to make sense, but both explanations contradict each other..

Could someone please point out where I rationalized improperly

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# Why would we weigh less at earth's center?

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