If for a given vehicle it takes 20 hp to overcome aerodynamic drag while being driven at 65 mph, estimate the horsepower required at 75 mph.

The magnitude of the complex power (apparent power) supplied by a three-phase balanced wye–wye system is 3600 VA. The line voltage is 208 V rms. If the line impedance is negligible and the power factor angle of the load is $25^{\circ}$, determine the load impedance.

A smooth, $75-\mathrm{mm}$ diameter pipe carries water $\left(65^{\circ} \mathrm{C}\right)$ horizontally. When the mass flow rate is $0.075 \mathrm{~kg} / \mathrm{s}$, the pressure drop is measured to be $7.5 \mathrm{~Pa}$ per $100 \mathrm{~m}$ of pipe. Based on these measurements, what is the friction factor? What is the Reynolds number? Does this Reynolds number generally indicate laminar or turbulent flow? Is the flow actually laminar or turbulent?

Use (18) to find the general solution of the given differential equation on $(0, \infty)$. $x^{2} y^{\prime \prime}+x y^{\prime}-\left(16 x^{2}+\frac{4}{9}\right) y=0$

A rider on a bike with the combined mass of 100 kg attains a terminal speed of 15 m/s on a 12% slope. Assuming that the only forces affecting the speed are the weight and the drag, calculate the drag coefficient. The frontal area is 0.9 $\mathrm{m}^{2}$. Speculate whether the rider is in the upright or racing position.

Consider a rubber plate that is in contact with nitrogen gas at 298 K and 250 kPa. Determine the molar and mass density of nitrogen in the rubber at the interface.

show that the points form the vertices of the indicated polygon. Right triangle: (-1, 3), (3, 5), (5, 1)

(a) What ethical issues can arise-personal, business, and/or environmental? (b) Use local, state, national, or international news sources to identify an example situation. (c) Summarize and analyze the ethical issues, including relevant laws, regulations, codes, and processes.

A viscous fluid flows past a flat plate such that the boundary layer thickness at a distance 1.3 m from the leading edge is 12 mm . Determine the boundary layer thickness at distances of 0.20, 2.0 and 20 m from the leading edge. Assume laminar flow.

Estimate the wind force on your hand when you hold it out of your car window while driving 55 mph. Repeat your calculations if you were to hold your hand out of the window of an airplane flying 550 mph.

Factor completely, or state that the polynomial is prime.

$$6 x ^ { 2 } + 11 x - 10$$

Write the partial fraction decomposition of each rational expression.

$$\frac { 4 x ^ { 2 } - 3 x - 4 } { x ( x + 2 ) ( x - 1 ) }$$

Write a factor that you can use to rationalize the denominator of the expression.

$$\frac { 1 } { \sqrt { 13 z } }$$

Starting from rest, a wheel has constant

$$\alpha = 3.0 \mathrm { rad } / \mathrm { s } ^ { 2 }$$

. During a certain 4.0 s interval, it turns through 120 rad. How much time did it take to reach that 4.0 s interval?