Make a free-body diagram of someone pushing a refrigerator that shows: a. A net force of 100 N with the refrigerator being pushed to the right. b. The refrigerator in equilibrium.

When air sinks, it (a) compresses and warms. (b) reaches its equilibrium level and then begins to sink. (c) expands and cools. (d) forms into clouds.

Is the game shown by Figure 13.3 in the chapter (not this appendix) a zero-sum game or is it a positive-sum game? How can you tell? Are there dominant strategies in this game? If so, what are they? What cell represents a Nash equilibrium and why? Explain why it is so difficult for Uptown and RareAir to achieve and maintain a more favorable cell than the Nash equilibrium in this single-period pricing game.

The value of the equilibrium constant K depends on which of the following (more than one answer may be correct)? the initial concentrations of the products Explain.

The mass of the uniform bar of length l is m, while that of the uniform bar of length 2l is 2m. For a given force P, determine the angle $\theta$ for equilibrium.

Heating solid sodium bicarbonate in a closed vessel establishes the following equilibrium:

$$2 \mathrm{NaHCO}_3(s) \rightleftarrows \mathrm{Na}_2 \mathrm{CO}_3(s)+\mathrm{H}_2 \mathrm{O}(g)+\mathrm{CO}_2(g)$$

What would happen to the equilibrium position if some of the $\mathrm{CO}_2$ were removed from the system

Find equilibrium points $x, 0 \leq x \leq 1$, for each of the following functions.\

$$f(x)=\frac{3}{2} x\left(1-x^2\right)$$

Suppose you attach an object with mass m to a vertical spring originally at rest, and let it bounce up and down. You release the object from rest at the spring's original rest length, the length of the spring in equilibrium, without the mass attached. The amplitude of the motion is the distance between the equilibrium position of the spring without the mass attached and the equilibrium position of the spring with the mass attached. (a) Show that the spring exerts an upward force of 2.00mg on the object at its lowest point. (b) If the spring has a force constant of 10.0 N/m, is hung horizontally, and the position of the free end of the spring is marked as y = 0.00 m, where is the new equilibrium position if a 0.25-kg-mass object is hung from the spring? (c) If the spring has a force constant of 10.0 M/m and a 0.25-kg-mass object is set in motion as described, find the amplitude of the oscillations. (d) Find the maximum velocity.

replaced by the equations

$$dx/dt=0.4x(1-0.000005x)-0.002xy, dy/dt=-0.2y+0.000008xy$$

Find the equilibrium solutions and explain their significance.

Write the equilibrium expression for the following reactions.

b. $2 \mathrm{NO}(g)+\mathrm{O}_2(g) \rightleftharpoons 2 \mathrm{NO}_2(g)$

Air can be compressed more easily than a balloon. Why then does a helium balloon reach a certain height where it is in stable equilibrium?

What is the equilibrium constant for the following reaction?

$$\begin{align*} \mathrm{AgCl}(\mathrm{s})+\mathrm{I}^{-}(\mathrm{aq}) \rightleftarrows \mathrm{AgI}(\mathrm{s})+\mathrm{Cl}^{-}(\mathrm{aq}) \end{align*}$$

Does the equilibrium lie predominantly to the left or to the right? Will $\mathrm{AgI}$ form if iodide ion, $\mathrm{I}^{-}$, is added to a saturated solution of $\mathrm{AgCl}$?

Find the equilibria for the differential equation and determine the values of $a$ for which each equilibrium is locally stable. Assume $a \neq 0.$ $y^{\prime}=1-e^{-a y}$

Most reactions speed up when a. the temperature decreases. b. equilibrium is achieved. c. the concentration of the products increases. d. the reactant is in small pieces.