A 150-lbm astronaut took his bathroom scale (a spring scale) and a beam scale (compares masses) to the moon where the local gravity is g = 5.48 ft/s^2. Determine how much he will weigh (a) on the spring scale and (b) on the beam scale. Answers: (a) 25.5 lbf, (b) 150 lbf

Suggest both a Likert scale question and a response scale to measure the following:

A scale drawing has a scale of 1 inch : 10 feet. Use the given actual length to find the length of the object in the scale drawing. 8 feet.

The Beaufort scale is a numerical scale that indicates wind speed. On this scale, 0 represents calm or no wind, and 12 represents a hurricane. The function $v=1.87 B^{1.5}$ can be used to determine the wind speed v in mi/h, where B is the Beaufort scale number. Explain why the function that describes the Beaufort scale is a power function.

A student weighing 800 N crouches on a scale and suddenly springs vertically upward. His roommate notices that the scale reads $900\ \mathrm{N}$ momentarily just as he leaves the scale. With what acceleration does he leave the scale?

Find the scale factor for the scale.

$$6 \text { in. } = 10 \mathrm { ft }$$

A 1/10th scale model of a new automobile design is tested in a wind tunnel at the same Reynolds number as that of the full-scale prototype. The force coefficient $(\mathrm{F} / A) /\left(\frac{1}{2} \rho V^{2}\right)$ of the model is the same as that of the prototype. Assuming the model and prototype are both tested in air, the force on the scale model, $\mathrm{F}_{m}$, is then a) 1/10,000th that of the full-scale vehicle. b) 1/1000th that of the full-scale vehicle. c) 1/100th that of the full-scale vehicle. d) 1/10th that of the full-scale vehicle. e) The same as that of the full-scale vehicle.

What is the scale of the model car in previous problem ? What is the scale factor?.

Temperature differences on the Rankine scale are identical to differences on the Fahrenheit scale, but absolute zero is given as $0 ^ { \circ } \mathrm { R }$. Find a second relationship converting temperatures $T_R$ of the Rankine scale to the temperatures $T_K$ of the Kelvin scale.

Each centimeter on a scale drawing of a park represents three meters of actual distance. What is the scale factor of the dilation that maps the park to the scale drawing?

Fill in the blank for this exercise.

The inequality $|5-2 x|>4$ of $\mathrm{QY} 2$ can be rewritten as $\left|\frac{x-\frac{5}{2}}{\frac{1}{2}}\right|>4$. This means that its solutions are the result of applying a scale change of magnitude ___ followed by a translation of ___ to the solutions of $|x|>4$.

A scale drawing of a cafeteria is drawn on centimeter grid paper. The scale is 1 cm : 4 m. a. Redraw the rectangle on centimeter grid paper using a scale of 1 cm : 6 m. b. What is the actual length and width of the cafeteria using the original scale? What are the actual dimensions of the cafeteria using the new scale?

Temperature differences on the Rankine scale are identical to differences on the Fahrenheit scale, but absolute zero is given as $0 ^ { \circ } \mathrm { R }$. Find a relationship converting the temperatures $T_F$ of the Fahrenheit scale to the corresponding temperatures $T_R$ of the Rankine scale.

Can a firm have a production function that exhibits increasing returns to scale, constant returns to scale, and decreasing returns to scale as output increases? Discuss.