When two metal electrodes are separated, a nanometer-sized wire (nanow
ire) is formed just before the contact breaks. The electrical conducti
on measured during this retraction process shows signs of quantized co
nductance in units of G(o)=2e(2)/h. Recent experiments show that the f
orce acting on the wire during separation fluctuates, which has been i
nterpreted as being due to atomic rearrangements. In this paper we use
a simple free-electron model, for two simple geometries, and show tha
t the electronic contribution to the force fluctuations is comparable
to the experimentally found values, about 2 nN, [S0163-1829(98)01816-5
].