A wall in a building has a width of 15 m and a height of 3 m. It is made of several layers — a layer of motionless air with an R value of 0.12 K m^2 / W, a 12.4 mm thick layer of gypsum board with a thermal conductivity of 0.17 W/m K, a layer of brick with an R value of 1.7 m^2/ W, and another layer of motionless air with an R value of 0.12 K m^2 / W.

(a) If the temperature inside the building is 27.2 °C and the temperature outside is 33.1 °C, how much power will flow through the wall in steady state?

(b) How much power will flow if we add a layer of foam insulation with an R value of 27.0 K m2/ W?

Earth has a mass of 6.0 x10^24 kg and the moon 7.3 x 10^22 kg. The center of the moon is 238,900 miles from the center of Earth.

The moon goes around the Earth-Moon center of mass with a speed of 2,288 miles per hour (3,683 kilometers per hour).

a.)What is the orbital speed of Earth in the Earth-Moon center of mass frame (total momentum is zero)? Please, give your answer in meters per second.

b.) Using the formula for centripetal force, what is the force of gravity exerted by the Earth on the Moon?

c.) Using the formula for centripetal force, what is the force of gravity exerted by the Moon on Earth?

A baseball has a mass of 3kg and is thrown off a roof with a horizontal velocity of 55m/s with a drag coefficient of 33Ns/m.

The baseball falls for 5s before hitting the ground, what the horizontal and vertical velocity?

How far did the ball travel both vertically and horizontally?

If the bat was thrown off the roof with a horizontal velocity of 13m/s and has a mass of 15kg, what is the bats drag coefficient if it take’s 5s to hit the ground?

What is the best way to design an argon laser that emits at 501.7 nm?

From t = 0 to t = 4.66 min, a man stands still, and from t = 4.66 min to t = 9.32 min, he walks briskly in a straight line at a constant speed of 1.66 m/s. What are (a) his average velocity vavg and (b) his average acceleration aavg in the time interval 1.00 min to 5.66 min? What are (c) vavg and (d) aavg in the time interval 2.00 min to 6.66 min?

A child bounces in a harness suspended from a door frame by three elastic bands.

(a) If each elastic band stretches 0.200 m while supporting a 6.35-kg child, what is the force constant for each elastic band? (N/m)

(b) What is the time for one complete bounce of this child? (s)

(c) What is the child's maximum velocity if the amplitude of her bounce is 0.200 m? (m/s)

what produces a torque on the boat and what effect does it have on the boat?

In the figure here, a red car and a green car move toward each other in adjacent lanes and parallel to an x axis. At time t = 0, the red car is at x_r = 0 and the green car is at x_g = 222 m. If the red car has a constant velocity of 25.0 km/h, the cars pass each other at x = 43.0 m. On the other hand, if the red car has a constant velocity of 50.0 km/h, they pass each other at x = 76.3 m. What are (a) the initial velocity and (b) the (constant) acceleration of the green car? Include the signs.

Please show how to Graph the Vector Sets. And Solve for it analytically.

Part A: Experimental Determination of the Equilibrant-

1. Obtain three sets of vectors, two sets of two and one set of three.
2. Use a scale of 1 cm = 10 g. For example, a vector of magnitude 5 cm would be represented by a hanging mass of 50g (5 cm x 10 g/1 cm = 50 g). Record each set of vectors below.

3. Record the value of the equilibrant, mass and angle.

Equilibrant: 142       g @     225      _ for set 1 (Vectors A and B)
Equilibrant:  166              g @  200         _ for set 2 (Vectors A and B)
Equilibrant:     76           g @    60        _ for set 3 (Vectors A, B and C)

Part B: Graphical Determination of Equilibrant-

1. Using the first set of vectors, graphically add the two vectors (using graph paper) to find the resultant.
2. From the resultant, determine the equilibrant. Refer to page 41.
3. Record your results:

Equilibrant:   g @ _ for set 1 (Vectors A and B)
Equilibrant:    g @ _ for set 2 (Vectors A and B)
Equilibrant:   g @ _ for set 3 (Vectors A, B and C)

Part C: Analytical (Mathematical) Addition of Vectors-

1. Calculate the x and y components of each of your vectors and record in the following table.
2. Calculate the magnitude and direction of the resultant R and equilibrant E.

Describe the difference between threshold and non-threshold dose response curves. Give one example of a disease or condition that fall into each category. (2 points)

Galactic Dynamics. Imagine that you are an occupant of a strange, distant galaxy, living on a planet in a solar system 10 kpc away from the galaxy's center. Looking along a galactic longitude of I 25°, you determine the orbital velocity of a cloud to be v = all orbits to be circular. 250 km/s. Take (a) You determine that this cloud is at the subcentral point-what is its orbital radius? (b) What is the mass interior to the cloud's orbit? (c) Observations show that the density is constant in this galaxy out to your radius (10 kpc)-what orbital velocity? is your (d) What is the escape velocity for a star that shares your orbital radius?