Answer:
ΔS=2*m*Cp*ln((T1+T2)/(2*(T1*T2)^1/2))
Explanation:
The concepts and formulas that I will use to solve this exercise are the integration and the change in the entropy of the universe. To calculate the final temperature of the water the expression for the equilibrium temperature will be used. Similarly, to find the change in entropy from cold to hot water, the equation of the change of entropy will be used. In the attached image is detailed the step by step of the resolution.
We have the equation of motion , where v i the final velocity, u is the initial velocity, a is the acceleration and s is the displacement
Here final velocity, v = 40m/s
Initial velocity, u = 0 m/s
Displacement s = 2 m
Substituting
So the baseball pitcher accelerates at 400m/ to release a ball at 40 m/s.
To solve this exercise we will use the concept related to heat loss which is mathematically given as
Where,
m = mass
= Specific Heat
Change in temperature
Replacing with our values we have that
Specific heat of mercury
Replacing
Therefore the heat lost by mercury is 0.09J