High-side switch for 5V load
You could use a P-channel MOSFET, as long as you choose a part that has a low gate-source threshold voltage so that it switches on with 5V. Then you don't need another driver to control it, either, as long as you're fine with the control signal being active-low. The schematic below has a 100&ohm; resistor on the gate just to be safe, but that's not strictly necessary.

You can also use a PNP transistor, which may be easier to find in a junk bin, or cheaper to buy anyway. Shown below is a circuit using the venerable TIP42C power transistor. A small and common 2N3906 could handle the 60mA, but it would have a collector-emitter voltage drop of around 0.2V at that current (which may be fine), but the TIP42C only drops about 0.05V.







simulate this circuit &ndash; Schematic created using CircuitLab