For the pipeline described in the previous exercise, assume that the oil is to be heated to $100^{\circ} \mathrm{C}$ to decrease its viscosity.

a. How does this affect the pump power requirement? b. At what distance apart could the pumps be placed with the same pressure drop as that from the previous exercise?

A power function is a function of the form $y=c \cdot x^{a}$, where c and a are constants. The distance that a person can see from an airplane depends on the altitude of the airplane, as shown in the table below.

$$\begin{array}{|l|c|c|c|c|c|} \hline \text { Altirucle }(\mathbf{m}) & 500 & 1000 & 5000 & 10,000 & 15,000 \\ \hline \text { Viewing Distance }(\mathbf{k m}) & 89 & 126 & 283 & 400 & 490 \\ \hline \end{array}$$

Let x be the altitude of the airplane in meters and let y be the viewing distance in kilometres. Linearize the data.

The Sun emits radiation uniformly in all directions. At the Earth, at a distance of $1.5 \times 10^{11} \mathrm{~m}$, the energy flux of sunlight is $1.4 \times 10^3 \mathrm{~W} / \mathrm{m}^2$. Calculate the power radiated by the Sun.

A certain child’s near point is 10.0 cm; her far point (with eyes relaxed) is 125 cm. Each eye lens is 2.00 cm from the retina. Calculate the power of the eyeglass lens the child should use for relaxed distance vision. Is the lens converging or diverging?

The $1.2 \text{ Mg}$ mine car is being pulled by the winch $M$ mounted on the car. If the winch generates a constant power output of $30 \mathrm{~kW}$, determine the speed of the car at the instant it has traveled a distance of $30 \mathrm{~m}$, starting from rest.

Your favorite aunt can read a newspaper only if it is within $15.0 \mathrm{~cm}$ of her eyes. How many diopters of refractive power must her glasses have if they are worn $2.00 \mathrm{~cm}$ from the eyes and allow her to read a newspaper at a distance of $25.0 \mathrm{~cm}$ ?

Henry can lift a 200 N load 20 m up a ladder in 40 s. Ricardo can lift twice the load up one-half the distance in the same amount of time. Which comparison between Ricardo and Henry is correct?

a) Ricardo exerted a greater force, did the same amount of work, and had the same power output as Henry.

b) Ricardo exerted a greater force, did the same amount of work, and had a greater power output than Henry.

c) Ricardo exerted a greater force, did less work, and had a lower power output than Henry.

d) Ricardo exerted a smaller force, did more work, and had the same power output as Henry.

Unless otherwise stated, the lens-to-retina distance is 2.00 cm. The far point of a myopic administrator is $50.0 \mathrm{~cm}$. (a) What is the relaxed power of his eyes? (b) If he has the normal $8.00 \%$ ability to accommodate, what is the closest object he can see clearly?

(a) At what rate must you lift a 3.6-kg container of milk (1 gallon) if the power output of your arm is to be 22 W? (b) How long does it take to lift the milk container through a distance of 1.0 m at this rate?

You create a light pulse by switching on a green laser $(\lambda=532 n m)$ for 1 $\mu s$. The pulse contains $10^{10}$ photons. (a) Determine the power output of the laser. (b) Estimate the distance between two neighboring photons, assuming the photons travel as localized particles and the light pulse has uniform intensity.

At a distance of $7.00 \times 10^{12} \mathrm{m}$ from a star, the intensity of the radiation from the star is $15.4 \mathrm{W} / \mathrm{m}^{2}$. Assuming that the star radiates uniformly in all directions, what is the total power output of the star

A certain child’s near point is 10.0 cm; her far point (with eyes relaxed) is 125 cm. Each eye lens is 2.00 cm from the retina. Calculate the power of the eyeglass lens the child should use for relaxed distance vision. Is the lens converging or diverging?

Suppose the farthest distance a person can see without visual aid is 50 cm. (a) What is the focal length of the corrective lens that will allow the person to see very far away? (b) Is the lens converging or diverging? (c) The power P of a lens (in diopters) is equal to 1/f, where f is in meters. What is P for the lens?

A $0.50 \mathrm{~mW}$ laser produces a beam of light with a diameter of $1.5 \mathrm{~mm}$. At what distance does a $150 \mathrm{~W}$ lightbulb have the same average intensity as that of the laser beam? (Assume that $5.0 \%$ of the bulb's power is converted to light.)