question kind of resembles the famous 'barometer' question dismissed by Bohr in his school examination...
why don't we go to the pilot of the space centre and say "I'll give you this nice spring balance if you tell me how heavy this baby is"
..by the way, i think gneill's solution is the best -...
perhaps a less harmful way would be to accelerate the spaceship at a constant acceleration. (for convenience let's accelerate the spaceship at 9.8ms^-2)
This acceleration would mean the conditions in the spaceship are identical to those in a gravitational field, the the spring balance would work...
adiabatic means no heat exchange! yes,
but beware - Heat does not equal temperature! - this is a misnomer that people struggle with due to the common usage in everyday language.
Heat = "transfer' of energy,..but just because there is no transfer doesn't mean the temperature can't change
i.e...
Have to find the probability of measureing the ground-state energy of a particle.
-in infinite potential well 0<x< a
has wave-function \psi (x,0) = Ax(a-x)
where a is the (known) length of the well, and the norm. const. A has already been found.
The eigenvalues of the hamiltonian in...