The conclusion of my attempt I am listing below is that there do exist entropies for both but I am not sure.
$$dU=TdS-pdV$$
$$dS=\frac{dU}{T}+\frac{p}{T}dV$$
Therefore, gas A:
$$S=\frac{{\Delta}U}{T}+\alpha_A(\frac{-N}{{\Delta}V})$$
Gas B...
I just got the answers, everything is correct, except for some of c) and whole d).
t2' is in fact -2.25*10-10 s.
this is because t2'=[t2-((vx2)/c2)]/√1-((v/c)2)
therefore centipede is not intact because the centipede passes before the cleavers strike the table
which is in fact what I wrote so I...
i think the solution for c) is like this
(x1',x2')=(0,0.1125)
(x1,x2)=(0,0.09)
(t1',t2')=(0,0.0675)
(t1,t2)=(0,0)
x1'=γ(x1-vt1)
x2'=γ(x2+vt2)
t1'=γ(t1-(v/c2)x1)
t2'=γ(t2-(v/c2)x2)
b)
L=L0√(1-((v/c)^2))
L0=0.09m
v=0.6c
L=0.072 m
c)
S: cleavers are 9 cm apart
speed of centipede is 0.6c
centipede measures 8 cm
S':
centipede is 10 cm long
cleavers are 0.072 m apart
d) the centipede will be cut
@kuruman As far as I know, γ=1/√(1-(v/c)^2)
Are you suggesting that γ can be determined some other way? What I am getting from your comment is it could be 2 cm, since that is the change in length of the centipede between the reference frames.
Hello,
I am currently a Physics student and I often get stuck on questions wishing I was able to counsel someone quickly so I can learn more about Physics and my studies. This forum is exactly what I am looking for.
Homework Statement
A high-speed centipede in S’ is 10.0 cm long measured at rest in S’. A butcher in S holds two cleavers (A and B) 9.00 cm apart (measured in S). The centipede runs at such high speed v across a chopping block that the butcher measures the length of the centipede to be 8.00 cm...