For a moving-coil meter movement, $I_\text{M}$ is a. the amount of current needed in the moving-coil to produce full-scale deflection of the meter’s pointer. b. the value of current flowing in the moving-coil for any amount of pointer deflection. c. the amount of current required in the moving-coil to produce half-scale deflection of the meter’s pointer. d. none of the above.

Prove that under a dilation with center O and scale factor r, the image of $\overline{AB}$ is a parallel segment $\overline{A^\prime B^\prime}$.

A former student of mechanics wishes to weigh himself but has access only to a scale A with capacity limited to 100 lb and a small 20-lb spring dynamometer B. With the rig shown he discovers that when he exerts a pull on the rope so that B registers 19 lb, the scale A reads 67 lb. What is his correct weight?

A solid conducting sphere of radius $R=1.351 \mathrm{~m}$ is charged, and the magnitude of the electric potential $34.95 \mathrm{~cm}$ from the surface of the sphere is $3.618 \cdot 10^5 \mathrm{~V}$. What is the magnitude of the electric field at the surface of the sphere?

a. Plot the I - V curve for a 5 $\Omega$ and a 20 $\Omega$ resistor on the same graph. Use a horizontal scale of 0 to 40 V and a vertical scale of 0 to 2 A. b. Which is the steeper curve? Can you offer any general conclusions based on results? c. If the horizontal and vertical scales were interchanged, which would be the steeper curve?

Use the decibel scale to answer the question. How many times as loud as the softest audible sound is the sound of busy street traffic?

The sides of a square are 48 centimeters long. It is related to a smaller square by a scale factor of 0.75. How long are the sides of the smaller square?

A certain ski wax is rated for use between $-12$ and $-7.0^{\circ} \text{C}$. What is this temperature range on the Fahrenheit scale?

Concern the Krumbein phi $(\phi)$ scale of particle size, which geologists use to classify soil and rocks, defined by the formula

$$\phi=-\log _2 D,$$

where $D$ is the diameter of the particle in $\mathrm{mm}$.

A cobblestone has diameter 3 inches. Given that 1 inch is $25.4 \mathrm{~mm}$, what does it measure on the $\phi$ scale?

A map has a scale of 1 inch : 3 kilometers. Use the given actual distance to find the distance on the map. 76 km

The highest and lowest temperatures on record for San Bernardino, California, are 118$^{\circ}$F and 17$^{\circ}$F, respectively. What are these temperatures on the Celsius scale?

A tension test was performed on a specimen having an original diameter of $12.5 \mathrm{~mm}$ and a gauge length of $50 \mathrm{~mm}$. The data are listed in the table. Plot the stress-strain diagram, and determine approximately the modulus of elasticity, the ultimate stress, and the fracture stress. Use a scale of $20 \mathrm{~mm}=50 \mathrm{MPa}$ and $20 \mathrm{~mm}=0.05 \mathrm{~mm} / \mathrm{mm}$. Redraw the linear-elastic region, using the same stress scale but a strain scale of $20 \mathrm{~mm}=0.001 \mathrm{~mm} / \mathrm{mm}$.

What will a spring scale read for the weight of a $53-\mathrm{~kg}$ woman in an elevator that moves upward with acceleration $0.33 \mathrm{~g}$,

$\triangle P^{\prime} Q^{\prime} R^{\prime}$ is a dilation image of $\triangle P Q R$. The scale factor for the dilation is 0.12. Is the dilation an enlargement or a reduction?