Water at a gauge pressure of P P = 3.2 atm a t m at street level flows into an office building at a speed of 0.78 m/s m / s through a pipe 5.8 cm c m in diameter. The pipe tapers down to 2.2 cm c m in diameter by the top floor, 16 m m above (Figure 1). Assume no branch pipes and ignore viscosity. Figure1 of 1 Part A Calculate the flow velocity in the pipe on the top floor. Express your answer to two significant figures and include the appropriate units. vtop v t o p = nothingnothing SubmitRequest Answer Part B Calculate the gauge pressure in the pipe on the top floor. Express your answer to two significant figures and include the appropriate units.

On a guitar, the lowest toned string is usually strung to the E note, which produces sound at 82.4 Hz. The diameter of E guitar strings is typically 0.0500 in and the scale length between the bridge and nut (the effective length of the string) is 25.5 in. Various musical acts tune their E strings down to produce a "heavier" sound or to better fit the vocal range of the singer. As a guitarist you want to detune the E on your guitar to A# ( 58.3 Hz). If you were to maintain the same tension in the string as with the E string, what diameter of string would you need to purchase to produce the desired note? Assume all strings available to you are made of the same material. diameter of string: inches Unfortunately, none of the strings in your collection have such a large diameter. In fact, the largest diameter you possess is 0.06033 in. If the tension on your existing string is denoted ?before , by what fraction will you need to detune (that is, lower the tension) of this string to achieve the desired A# note? ?after?before=

*Relativity and time - 1

The distance between New York and Los Angeles is about 5,000 km. A jet, traveling at a speed of 769 km/hour, leaves New York. Calculate the time elapse for the plane to reach the Los Angeles airport. Now calculate the difference in the time that has elapsed for an observor on earth and a passenger on the plane? Give your answers in nanoseconds (ns)

An AC generator supplies an rms voltage of 230 V at 60.0 Hz. It is connected in series with a 0.300 H inductor, a 4.30 μF capacitor and a 256 Ω resistor.

What is the impedance of the circuit?

What is the rms current through the resistor?

What is the average power dissipated in the circuit?

What is the peak current through the resistor?

What is the peak voltage across the inductor?

What is the peak voltage across the capacitor?

The generator frequency is now changed so that the circuit is in resonance.

What is that new (resonance) frequency?

after falling from rest from a height of 30 m, a 0.50 kg ball rebounds upward, reaching a height of 20 m. if the contact between bam and ground lasted 2.0 ms, what average force was exerted on the ball?

How do you use errors in mass and velocity to find the errors in starting and ending kinetic energy?

Equation for KE = 1/2mv^2

Error in m = 0.179kg +/- 0.005 kg

Error in velocity starting = -0.0648m/s +/- 0.011 m/s

Error in velocity ending = 0.259m/s +/- 0.020 m/s

Describe a method by which you can independently verify the uncertainty on your force measurements for the Acceleration of a Cart lab.\

Describe a method by which you can independently verify the uncertainty on your acceleration measurements for the Acceleration of a Cart lab.

At the x = 0 end of an semi-infinite rope, someone moves the end of the rope up and down sinusoidally as y[x = 0, t] = A Cos[ω t + π/4]: The speed of propagation down the string is given by c. (a) Write down a general formula for the resulting wave that propagates down the string. (b) What power is supplied by the person at the end of the rope? (c) At what frequencies ω must the person move the string so that at x = L the string moves with transverse harmonic motion given by y(x = L, t) = A Sin[ω t - π/4] ?

Classic footage of the Apollo 11 astronauts show them taking large leaps bounding around the surface of the moon. By transporting this simple spring and mass system to the moon, we can measure the gravitational force exerted by the moon on objects at its surface and compare it to the force of gravity exerted by the earth on people at its surface.

i. Use the apparatus to measure the force of gravity exerted by the moon on the 50 gram mass. What is the value of this force?
ii. If this mass is dropped from a height of 10 m, at what rate does this mass
accelerate towards the surface?
iii. If you can jump to a height of 2 feet on earth, explain using energy principles why the change in gravitational force enables you to jump much higher on the moon.

QUESTION 9

Tony Hawk is skating through a half-pipe with a radius of 4 m. Initially he is in a crouched position with his center of mass 0.5 m above the surface of the half-pipe. He starts from rest with his center of mass a height of 3 m above the base of the half-pipe and experiences no loss of energy from friction as he moves. At the bottom of the half-pipe he stands up and lifts his arms into the air, thereby raising his center of mass to 1.0 m. He then continues up the other side of the half-pipe. What is the maximum height (in m) that his center of mass reaches on the other side of the half-pipe? You may model Tony as a point particle.

A simple pendulum, 2.0 m in length, is released by a push when the support string is at an angle of 25° from the vertical. If the initial speed of the suspended mass is 3.0 m/s when at the release point, to what maximum angle will it move in the second half of its swing?

a. 47°

b. 36°

c. 30°

d. 19°

You are driving your car, and the traffic light ahead turns red. You apply the brakes for 2.73 s, and the velocity of the car decreases to + 5.37 m/s. The car’s deceleration has a magnitude of 3.02 m/s2 during this time. What is the car’s displacement? x =

A dynamite blast at a quarry launches a rock straight upward, and 1.8 s later it is rising at a rate of 10 m/s. Assuming air resistance has no effect on the rock, calculate its speed (a) at launch and (b) 4.4 s after launch.

Concept Simulation 2.3 provides some background for this problem. A ball is thrown vertically upward, which is the positive direction. A little later it returns to its point of release. The ball is in the air for a total time of 8.36 s. What is its initial velocity? Neglect air resistance. v0 =

Concept Simulation 2.3 offers a useful review of the concepts central to this problem. An astronaut on a distant planet wants to determine its acceleration due to gravity. The astronaut throws a rock straight up with a velocity of +21.2 m/s and measures a time of 18.4 s before the rock returns to his hand. What is the acceleration (magnitude and direction) due to gravity on this planet? (positive = up, negative = down)

A hot-air balloon is rising upward with a constant speed of 3.78 m/s. When the balloon is 9.24 m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground? From her bedroom window a girl drops a water-filled balloon to the ground, 8.93 m below. If the balloon is released from rest, how long is it in the air?

From her bedroom window a girl drops a water-filled balloon to the ground, 8.93 m below. If the balloon is released from rest, how long is it in the air?