Calculating Change in Entropy: 1100 kg Cars Colliding at 75km/hr

  • Thread starter Thread starter notsam
  • Start date Start date
  • Tags Tags
    Entropy Homework
AI Thread Summary
To estimate the change in entropy from the collision of two 1100 kg cars traveling at 75 km/hr, one can use the equation ∆S = k ln(W) where k is the Boltzmann constant and W represents the number of microstates. The collision is inelastic, resulting in kinetic energy being converted into heat, which contributes to the entropy change. The heat (Q) generated can be calculated from the cars' mass and speed using the kinetic energy formula. It's essential to define the system's boundary to analyze the entropy change accurately. Understanding these principles will facilitate the calculation of entropy for this scenario.
notsam
Messages
50
Reaction score
0

Homework Statement

Two 1100 kg cars are traveling 75 km/hr in opposite directions when they collide and are brought to rest. Estimate the change in entropy of the universe as a result of this collision. Assume T= 15oC



Homework Equations





The Attempt at a Solution

PLEASE GET ME STARTED I am physics retarded an equation would be nice...
 
Physics news on Phys.org


i imagine you're meant to use the relationship ∆S=k*log(w) where ∆s=entropy change, k is 1.380 6504(24)×10-23 J/K, and w is work...
work is kinetic energy, so...
got it?
 


Entropy can be calculated as:


S = k ln W ( w not as in work)

also you can use S = Q/T ---> Q being heat T ----> temperature,
I have learned that in thermo when they refer at universe is just whatever is outside your system. so define your boundary and i think it's pretty simple.
 


Also forgot to mention... you have an inelastic collision where two masses have momentum.! Remember that there is a release of energy in the form of heat because of the collision. I think that's the key for you to plug the formula as mentioned above.

However that guy who said w is work WRONG WRONG WRONG

W is the Wahrscheinlichkeit, the frequency of occurrence of a macrostate or, more precisely, the number of possible microstates corresponding to the macroscopic state of a system — number of (unobservable) "ways" in the (observable) thermodynamic state of a system can be realized by assigning different positions and momenta to the various molecules.

I know this because I just did a test on classical thermodynamics at uni ! =)
hope this helps you
 


Wait, how do I get Q (heat) from my mass and speed?
 
TL;DR Summary: I came across this question from a Sri Lankan A-level textbook. Question - An ice cube with a length of 10 cm is immersed in water at 0 °C. An observer observes the ice cube from the water, and it seems to be 7.75 cm long. If the refractive index of water is 4/3, find the height of the ice cube immersed in the water. I could not understand how the apparent height of the ice cube in the water depends on the height of the ice cube immersed in the water. Does anyone have an...
Kindly see the attached pdf. My attempt to solve it, is in it. I'm wondering if my solution is right. My idea is this: At any point of time, the ball may be assumed to be at an incline which is at an angle of θ(kindly see both the pics in the pdf file). The value of θ will continuously change and so will the value of friction. I'm not able to figure out, why my solution is wrong, if it is wrong .
Back
Top