Can you please answer #3 below? Thanks For the two 10-particle two-state systems

Question

Can you please answer #3 below? Thanks

For the two 10-particle two-state systems of Example 3.9, suppose the total energy to be shared between the two objects is U = U_A + U_B = 4. What is the distribution of energies that gives the highest multiplicity? When you drink a cup of juice, you get about 100 Cal (1 food Cal = 1 kcal). You can work this off on an exercise bicycle in about 10 minutes. If you hook your exercise bicycle to a generator, what wattage of light bulb could you light up, assuming 100 Degree efficiency? (1 watt = 1 Js^-1is power, i.e., energy per unit time.) How much kinetic energy does a 1700 kg car have, if it travels at 100 km h^-1.

Explanation / Answer

Q = 100 Cal = 100 kcal

1 kcal = 4.184 kJ

100 = 418.4 kJ

and

t = 10 min = 10*60 = 600 seconds

100% efficency

then

P = Q*t = 418.4 *600 = 251040 J/s

P = 251040 W

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