A certain parallel-plate capacitor is filled with a dielectric for which κ = 5.5. The area of each plate is 0.034 m², and the plates are separated by 2.0 mm.The capacitor will fail (short out and burn up) if the electric field between the plates exceeds 200 kN/C. What is the maximum energy that can be stored in the capacitor?

Explain the meaning of the word gestalt as it applies to perception. Then, apply any two gestalt principles to the perception of food on a plate.

Find the centroid of a thin, flat plate covering the region enclosed by the x-axis, the lines x = 2 and x = -2, and the parabola $y=x^{2}.$

A superball is dropped from a height $h$ onto a hard steel plate (fixed to the Earth), from which it rebounds at very nearly its original speed. If we consider the ball and the Earth as our system, during what parts of the process is momentum conserved for a piece of putty that falls and sticks to the steel plate.

A vertical flat plate is maintained at a constant temperature of $120^{\circ} \mathrm{F}$ and exposed to atmospheric air at $70^{\circ} \mathrm{F}$. At a distance of $14\ \mathrm{in}$. from the leading edge of the plate the boundary layer thickness is $1.0\ \mathrm{in}$. Find the thickness of the boundary layer at a distance of $24\ \mathrm{in}$. from the leading edge.

A 1-mm-thick copper plate $(k=401 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})$ is sandwiched between two $7$-$\mathrm{mm}$-thick epoxy boards $(k=0.26 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})$ that are $15 \mathrm{~cm} \times 20 \mathrm{~cm}$ in size. If the thermal contact conductance on both sides of the copper plate is estimated to be $6000 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$, find the error involved in the total thermal resistance of the plate if the thermal contact conductances are ignored.

What was Wegener's hypothesis called?

A. seafloor spreading

B. plate tectonics

C. continental drift

D. slab pull

A parallel-plate capacitor has circular plates of 8.20 cm radius and 1.30 mm separation. Calculate the capacitance.

A $\frac{1}{4}$-in steel plate having a thermal conductivity of $25 \mathrm{Btu} / \mathrm{h} \cdot \mathrm{ft} \cdot{ }^{\circ} \mathrm{F}$ is exposed to a radiant heat flux of $1500 \mathrm{Btu} / \mathrm{h} \cdot \mathrm{ft}^2$ in a vacuum space where the convection heat transfer is negligible. Assuming that the surface temperature of the steel exposed to the radiant energy is maintained at $100^{\circ} \mathrm{F}$, what will be the other surface temperature if all the radiant energy striking the plate is transferred through the plate by conduction?

Under what conditions can the outer surface of a vertical cylinder be treated as a vertical plate in natural convection calculations?

Consider the spherical capacitor of the preceding problem. Show that in the limit as $b$ approaches $a$, the capacitance formula is equivalent to that for a parallel-plate capacitor.

The coefficient of restitution for steel onto steel is measured by dropping a steel ball onto a steel plate. If the ball is dropped from a height $H$ and rebounds to a height $h$, then the coefficient of restitution is $\sqrt{\frac{h}{H}}$. Suppose that a steel ball is dropped from a height of $1\ \mathrm{m}$ onto a steel plate. Each time the ball hits the plate, it rebounds to $r$ times it previous height $(0<r<1)$. If the ball travels a total distance of $2\ \mathrm{m}$, find the coefficient of restitution for steel on steel.

Engine oil at $40^\circ C$ is flowing over a long flat plate with a velocity of 6 m/s. Determine the distance $x_{\mathrm{cr}}$ from the leading edge of the plate where the flow becomes turbulent, and calculate and plot the thickness of the boundary layer over a length of $2 x_{\mathrm{cr}}.$

A 1-mm-thick copper plate $(k=386 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K})$ is sandwiched between two 7-mm-thick epoxy boards $(k=$ $0.26 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$ ) that are $15 \mathrm{~cm} \times 20 \mathrm{~cm}$ in size. If the thermal contact conductance on both sides of the copper plate is calculated to be $6000 \mathrm{~W} / \mathrm{m} \cdot \mathrm{K}$, find the error involved in the total thermal resistance of the plate if the thermal contact conductances are disregarded.