What geometrical shape are the equipotential surfaces between two charged parallel plates?

A 0.20-kg glass cup at $20^{\circ} \mathrm{C}$ is filled with 0.40 kg of hot water at $90^{\circ} \mathrm{C}.$ Neglecting any heat losses to the environment, what is the equilibrium temperature of the water?

Is $-\frac{1}{2}n+\frac{1}{2}n+3-n$ equivalent to 3? Explain.

Find the domain and range of the function represented by the graph.

Classify each function as a power function, root function, polynomial (state its degree), rational function, algebraic function, trigonometric function, exponential function, or logarithmic function. $y=x^{2}\left(2-x^{3}\right)$

Find the most general antiderivative of the function. $q(t)=2+(t+1)\left(t^{2}-1\right)$

Use formal substitution to find the indefinite integral. Check your result by differentiating. $\int t \sqrt{t^{2}+1} d t$

Two coils are mutually coupled, with $L_{1}=50 \mathrm{mH}$, $L_{2}=120 \mathrm{mH},$ and $k=0.5$. Calculate the maximum possible equivalent inductance if: (a) the two coils are connected in series (b) the coils are connected in parallel

Assuming that the human body has a 1.0-cm-thick layer of skin tissue and a surface area of $1.5\ \mathrm{m}^{2},$ estimate the rate at which heat is conducted from inside the body to the surface if the skin temperature is $34^{\circ} \mathrm{C}.$ (Assume a normal body temperature of $37^{\circ} \mathrm{C}$ for the temperature of the interior.)

Sketch the graph of the amount of a particular brand of coffee sold by a store as a function of the price of the coffee.

The energies and spins of the first four excited states of $^{72} \mathrm{Hf}^{180}$ are: $0.093 \mathrm{MeV}, i=2; 0.309 \mathrm{MeV}, i=4 ; 0.641 \mathrm{MeV}, i=6 ; 1.085 \mathrm{MeV}, i=8$. a) How well do the ratios of these energies agree with the predictions of (16-33)? b) Use that equation to evaluate the rotational inertia of the nucleus.

At a point in space, an electric force acts vertically upward on an electron. The direction of the electric field at that point is (a) down, (b) up, (c) zero, (d) undetermined.

The frequency of an ambulance siren is 700 Hz. What are the frequencies heard by a stationary pedestrian as the ambulance approaches and moves away from her at a speed of 90.0 km/h? (Assume that the air temperature is $20^{\circ} \mathrm{C}.)$

A pair of parallel plates is charged by a 12-V battery. If the electric field between the plates is 1200 N/C, how far apart are the plates?