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Ludwig Boltzmann killed himself so that we could do thermodynamics by enumerating the states of a system. Learn to count, the most important skill in statistical mechanics.

A \(4\)-wheel car stands still with the static force of friction \( f_s. \) If we attach \( 2 \) more wheels on the car, what is the new force of friction? Assume that all the tires have the same coefficient of friction with the ground, and neglect the weights of the wheels.

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If helium gas fills a spherical balloon of radius \(16.0 \text{ cm}\) at \(25.0 ^\circ\text{C}\) and \(1.013 \times 10^5 \text{ N/m}^2,\) what is the approximate total kinetic energy of the helium atoms in the balloon?

The value of the Boltzmann constant \(k_B\) is \(1.38 \times 10^{-23} \text{ J/K}\) and the value of the universal gas constant \(R\) is \(8.31 \text{ J/mol}\cdot\text{K}.\)

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