Colorful fireworks often involve the decomposition of barium nitrate and potassium chlorate and the reaction of the metals magnesium, aluminum, and iron with oxygen. (a) Write the formulas of barium nitrate and potassium chlorate. (b) The decomposition of solid potassium chlorate leads to the formation of solid potassium chloride and diatomic oxygen gas. Write an equation for the reaction. (c) The decomposition of solid barium nitrate leads to the formation of solid barium oxide, diatomic nitrogen gas, and diatomic oxygen gas. Write an equation for the reaction. (d) Write separate equations for the reactions of the solid metals magnesium, aluminum, and iron with diatomic oxygen gas to yield the corresponding metal oxides. (Assume the iron oxide contains $\mathrm{Fe}^{3+}$ ions.)

The 80-kg ventilation door OD with mass center at G is held in the open position shown by means of a moment M applied at A to the opening linkage. Member AB is parallel to the door for the $30^{\circ}$ position shown. Determine M.

Determine whether each of the following situations involves linear motion, rotational motion, or a combination of the two. a door swinging open

The viscosity of a fluid is to be measured by a viscometer constructed of two 5-ft-long concentric cylinders. The inner diameter of the outer cylinder is 6 in, and the gap between the two cylinders is 0.035 in. The outer cylinder is rotated at 250 rpm, and the torque is measured to be $1.2 lbf \cdot ft.$ Determine the viscosity of the fluid.

Two tomato strains, A and B, both produce fruit that weighs, on average, $1 \mathrm{lb}$ each. All of the variance is due to $V_{\mathrm{G}}$. When these two strains are crossed to each other, the $F_1$ offspring display heterosis with regard to fruit weight, with an average weight of 2 $\mathrm{lb}$. You take these $\mathrm{F}_1$ offspring and backcross them to strain A. You then grow several plants from this cross and measure the weights of their fruit. What would be the expected results for each of the following scenarios?
A. Heterosis is due to a single overdominant gene.
B. Heterosis is due to two dominant genes, one in each strain.
C. Heterosis is due to two overdominant genes.
D. Heterosis is due to dominance of several genes each from strains $\mathrm{A}$ and $\mathrm{B}$.

A person opens a door by applying a 15-N force perpendicular to it at a distance 0.90 m from the hinges. The door is pushed wide open (to $120^{\circ})$ in 2.0 s. (a) How much work was done? (b) What was the average power delivered?

The table lists the measurements of a lot bounded by a stream and two straight roads that meet at right angles, where x and y are measured in feet.

Use the model in part (a) to estimate the area of the lot.

We all carry 20,000 to 25,000 genes in our genome. So far, patents have been issued for more than 6000 of these genes. Do you think that companies or individuals should be able to patent human genes? Why or why not?

Getting into a car involves these steps. Open the car door. Sit down. Close the door. Buckle the seat belt. Describe the steps you take in getting out of a car. How are they related to the steps involved in getting into a car?

A point source with volume flow Q = 30 m³/s is immersed in a uniform stream of speed 4 m/s. A Rankine half-body of revolution results. Compute (a) the distance from source to the stagnation point and (b) the two points (r, θ) on the body surface where the local velocity equals 4.5 m/s.

Solve previous problem for the case where the assembly starts from rest with an initial angular acceleration $\alpha=900 \mathrm{rad} / \mathrm{s}^{2}$ as a result of a starting torque (couple) M applied to the shaft in the same sense as N. Neglect the moment of inertia of the shaft about its z-axis and calculate M.

A soccer player $20.0 \mathrm{~m}$ from the goal stands ready to score. In the way stands a goalkeeper, $1.70 \mathrm{~m}$ tall and $5.00 \mathrm{~m}$ out from the goal, whose crossbar is at $2.44 \mathrm{~m}$ high. The striker kicks the ball toward the goal at $18 \mathrm{~m} / \mathrm{s}$. Determine whether the ball makes it over the goalkeeper and/or over the goal for each of the following launch angles (above the horizontal): (c) $30^{\circ}$.

Using conversion factors, solve the following clinical problem: A nurse practitioner prepares 500. mL of an IV of normal saline solution to be delivered at a rate of 80. mL/h. What is the infusion time, in hours, to deliver 500. mL?

The $50-\text{mm}$-diameter steel $(G=80\ \mathrm{GPa})$ shaft shown in given figure is fixed to rigid walls at both ends. When a torque of $4.75\ \mathrm{kN} \cdot \mathrm{m}$ is applied as shown, find (a) The maximum shearing stress in the shaft. (b) The angle of rotation of the section where the torque is applied with respect to its no load position.