What is the force holding the nucleus together and what does it need to overcome?

Answer 1

The strong nuclear force binds protons and neutrons together.

As you can see from this wiki link, it does in fact overcome proton-proton electrostatic repulsion in the nucleus.

Despite its seemingly short range, the strong nuclear force is approximately 100 times stronger than the electromagnetic force, which is advantageous for nuclei.

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Answer 2

Sebastian Acosta

The force holding the nucleus together is the strong nuclear force. It needs to overcome the electromagnetic repulsion between positively charged protons within the nucleus.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.