JohnLincoln:
Looking at the specifications of the motor:
No Load Current: 280mA max
Stall Current: 10,570mA
The FET is rated at 115mA.
Need I say more?
yes please
Such a low-power FET will be internally melted if it ever handles even the minimum motor current.
Secondly running a FET near its max current requires good heatsinking, and usually
is not done - you typically run at 10--20% or so of max, since you don't want the extra
cost of a heatsink nor the wasted heat to dispose of. The current rating is typically just
the maximum heat dissipation rating in disguise. Not a useful parameter in fact.
You pick a MOSFET from its on-resistance and your requirement for maximum power dissipation.
If you want, say, a max of 0.5W dissipation for a load of 5A, your MOSFET should have an on-resistance
of 0.5 / (5*5) = 0.02 ohms or less. Not 7.5 ohm like the 2N7002
power = I-squared-R
A 7.5 ohm MOSFET at 5A would be about 200W dissipation (except it wouldn't as the voltage drop
across it is more than Vgs, which isn't tenable)