You can probably get away with a strong drill (not your standard-issue rechargeable, but a strong rechargeable or a corded drill).
Alternately, in some situations, it's easier to drill into the ceiling above, find something substantial to screw into, and mount rubber stoppers on the back of the pegboard so it doesn't swing around much.
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Alternately, in some situations, it's easier to drill into the ceiling above, find something substantial to screw into, and mount rubber stoppers on the back of the pegboard so it doesn't swing around much.