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

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

Clear the leaves from the lawn.

The balloon cleared the tree tops.

A: different meanings

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

He drew a heart and called it a valentine.

He had a change of heart.

A:
different meanings