Q: Does "back" have the same meaning in the following two sentences?

I back you all the way.

Back this enterprise.

A: the same meaning

Q: Does "buildup" have the same meaning in the following two sentences?

I envied his rapid buildup of assets.

A military buildup in preparation for the invasion.

A: the same meaning

Q: Does "know" have the same meaning in the following two sentences?

She doesn't know this composer.

I know him under a different name.

A:
the same meaning