Show And explain how the action integral and the planck constant have the same dimension and units.

In an aortic aneurysm, a bulge forms where the walls of the aorta are weakened. If blood flowing through the aorta (radius 1.1 cm) enters an aneurysm with a radius of 3.0 cm, how much on average is the blood pressure higher inside the aneurysm than the pressure in the unenlarged part of the aorta? The average flow rate through the aorta is 110 cm³/s. Assume the blood is non-viscous and the patient is lying down so there is no change in height.

Four protons are placed in the vertices of a square with a side of 2 x 10-9 m. A fifth proton
it is initially on the perpendicular to the square by its center, at a distance of 2 x 10-9 m from it. Calculate (a) the
minimum initial velocity that the fifth proton needs to reach the center of the square, (b) its initial and final accelerations.
(c) Make a graph of the proton's potential energy as a function of its distance to the center of the square.

Only two horizontal forces act on a 7.7 kg body. One force is 7.0 N, acting due east, and the other is 4.3 N, acting 40° north of west. What is the magnitude of the body's acceleration?

Three astronauts, propelled by jet backpacks, push and guide a 133 kg asteroid toward a processing dock, exerting the forces shown in the figure, with F₁ = 27 N, F₂ = 54 N, F₃ = 38 N, θ₁ = 30°, and θ₃ = 60°. What is the (a) magnitude and (b) angle (measured relative to the positive direction of the x axis in the range of (-180°, 180°]) of the asteroid's acceleration?

The figure shows a box of dirty money (mass m₁ = 4.5 kg) on a frictionless plane inclined at angle θ₁ = 23°. The box is connected via a cord of negligible mass to a box of laundered money (mass m₂ = 1.5 kg) on a frictionless plane inclined at angle θ₂ = 53°. The pulley is frictionless and has negligible mass. What is the tension in the cord?

. A lorry with mass 3500 kg is parked at the top of a steep hill with a 1–in–8 gradient when its handbrake fails. Assume that the lorry has a constant frictional resistance to motion of 500 N. The lorry rolls 40 m down the hill before crashing into a lamp post. Use the principle of conservation of energy to calculate the velocity of the lorry immediately prior to its impact with the lamp post.

When the air temperature is below 0 ?C, the water at the surface of a lake freezes to form a sheet of ice.

If the upper surface of an ice sheet 24.64cm thick is at -10.58?C and the bottom surface is at 0 ?C, calculate the time it will take to add 2.41mm to the thickness of this sheet.

ASTRONOMY for objects outside of the suns orbit. make an expression that converts the objects radial velocity and d (distance from the Sun). into angular speed and R. where r is the distance from the galactic center

Consider a system of five particles inside a container where the energy levels are evenly spaced. (For instance, the particles could be trapped in a one-dimensional harmonic oscillator potential.) In this problem, you will consider the allowed states for the system if the particles are identical fermions, identical bosons, or distinguishable particles.

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Consider these systems at a very high temperature. Speculate how the fermionic system, the bosonic system, and the distinguishable particle systems would differ, and support your stance with sound reasoning.

Online trolls drive us crazy saying that our cars are big, heavy and that they drive like boats. Well, our solution to everything is more horsepower. Even, in 1921, the Dodge Brothers built a boat named the SS Delphine and it had a whopping 3000 HP. So, how much horsepower would a Challenger SRT® Hellcat Redeye Widebody need to tow the SS Delphine up the industry standard: Davis Dam Grade Climb?

The video of the question on YouTube:

https://youtu.be/6JLrBj3dqvM

Pro Tips

Davis Dam assumed grade = 7%

Air density is sea level conditions (.002377 slugs/f^t3)

w(weight) of the SS Delphine + trailer + Redeye = 3,922,000 + 150,000 + 4451 Lbs

Crr = coefficient of rolling resistance = .015

Assume Combined CDA is 1555 ft^2

SAE J2807 (Davis Dam Grande Climb) - min speed is 40mpg (59 ft/s)

F(drag) = 1/2p x V^2 x C(d)A

F(rolling resistance) = W x cos x Crr

F(weight) = W x sin

F(sum) = F(drag) + F(rr) + F(weight)

P = F(sum)XV

convert to horsepower = P(1hp/550ft lbf/sec)

wanted to understand, what is efficiency in thermodynamics?

Briefly explain what changing the gravitational force will do to friction on level ground.  Why does this happen?  How will this change on a hill?

what is action integral?What is it for?(In the calculation of variation)

Q5. Report the slope and uncertainty in the slope of the linear fit on your graph, include the correct units. Q6. Use your reported slope from the graph to calculate the spring constant k, and include the correct units. Show all work. Q7. Using propagation of uncertainties, it can be shown that the uncertainty in the spring constant k may be calculated using Using your graph for the uncertainty in the slope, along with your answer to Q6, calculate the uncertainty in the spring constant. Show all work.

m=2.14 +- 0.46, b=-0.0074+-0.0097, r=0.937. The graph wouldn't upload.

A 11 g circular annulus of outer radius 47 cm and inner radius 35.2 cm makes small oscillations on an axle through its outer edge perpendicular to its face.

(a) Find its frequency of oscillation.

(b) Find the frequency of oscillation of a thin ring of the same outer radius and mass.

(c) Find the frequency of oscillation of a solid disc of the same outer radius, thickness, and density.