fine, fine-mesh
safety
fishing
drift
mosquito
butterfly

mend
The fishermen were mending their nets.

cast, spread, spread out
haul in
slip through (often figurative)
We tried to contact all former students but one or two slipped through the net.

in a/the net
Unfortunately the animals are often caught in fishing nets.

into a/the net
The ball went into the net.

over the net
to hit the ball over the net

Net is used with these nouns as the object:
penalty

Net is used with these nouns:
asset, balance, change, contributor, cost, curtain, debt, deficit, dividend, earnings, effect, expenditure, export, exporter, gain, import, income, increase, investment, loss, margin, output, proceeds, profit, receipt, reduction, result, return, revenue, salary, sale, saving, sum, takings, transfer, turnover, wealth, weight, worth