Vector and Acceleration

** Please see the attached file for the complete problem description ** Velocity and acceleration: consider a velocity vector given in standard unit vector form in rectangular Cartesian coordinates as ____ (please see the attached file). a. What is the acceleration at 2 seconds? b. What is the ...

Tension vs fundamental frequency

You are a roadie (a technical assistant) to a legendary pink guitar player Doyle Wolfgang von Frankenstein. During a concert, he breaks the low C string on his guitar. You are asked to restring it. When plucked it is supposed to have a fundamental frequency of f1=131Hz. When placed on the guitar, th...

Measurement, Uncertainty and Significant Figures

a) What is the area, and its approximate uncertainty, of a circle of radius 3.4*10^4 cm? b) What, roughly, is the percent uncertainty in the volume of a spherical beach ball whose radius is r=2.86 +/- 0.09m?

Spin 1/2 System: Pure and Mixed Ensembles

Consider a pure ensemble of a spin 1/2 system. Suppose <Sx>, <Sz> and the sign of <Sy> are known. Show how we may determine the state vector. Why is it unnecessary to know the magnitude of <Sy> ? Consider a mixed ensemble of a spin 1/2 system. Suppose [Sx], [Sy] and [Sz] are known. Show how ...

Propagation of Uncertainties

A) According to theory, the period T of a simple pendulum is T=2&#928;&#8730;(L/g), where L is the length of the pendulum. If L is measured as L=1.40 +/- 0.01 m, what is the predicated value of T? b) Would you say that a measured value of T=2.39 +/- 0.01 s is consistent with the theoretical predict...

Propagation of Uncertainties for a set of calipers

I have a set of calipers that can measure thickness of a few inches with an uncertainty of +/- 0.005 inches. I measure the thickness of a deck of 52 cards and get 0.590 in. a) If I now calculate the thickness of 1 card, what is my answer (including its uncertainty)? b) I can improve this result...

Tensor Products observables.

In the Hilbert space C^2 x C^2 (where x is used in all of my notation to mean the cross product) Consider the state vector: Psi = 1/sqrt(2) ( e_1 X e_2) + 1/sqrt(2) ( e_2 X e_1 ) (Part a) What is the probability that the measurement of q_3 X I gives the value -1 and how d...

Problem on Pressure Measurements

A collapsible plastic bag contains a glucose solution. If the average gauge pressure in the vein is 1.34e+4 Pa, what must be the minimum height, h, of the bag in order to infuse glucose into the vein? Assume that the specific gravity of the solution is 1.05.

Buoyancy and Archmides Principle

Would you explain how to solve the following problem to the specified answer of 0.199? Please offer as much explanation as possible. What fraction of a piece of aluminum will be submerged when it floats in mercury?

Understanding the Prefix

Question: What is the correct prefix to the fun-word "103-mockingbird". a. deci b. tera c. peta d. pico e. kilo

What is the height in cm

What is the height in cm of the column of mercury for a mercury barometer whan the atmospheric pressure at a certain location is 1.02 atm? The density of mercury is 13.55g/cu m. a.73.7 cm b.77.6 cm c.75.3 cm

Pressure Measurements

A piston (1) as shown in the figure has a diameter of 0.25 inches, and piston (2) has a diameter of 1.5 inches. In the absence of friction, determine the force F necessary to support the 500-lb weight.

Water Flow in a U-Shaped Tube

A U-shaped tube, open to the air on both ends, contains mercury. Water is poured into the left arm until the water column is 13.1 cm deep. How far upward from its initial position does the mercury in the right arm rise? Please give your answer in mm. (NOTE: I've tried the answer 9.63 mm and it is in...

Pascal's Principle and Blood Pressure Measuring

When a person's blood pressure is taken, it is measured on the arm, at approximately the same level as the heart. How would the results differ if the measurement were to be made on the patient's leg? Would the pressure be greater, according to the P2 = P2 + pgh equation? Thank you!

Finding the centre of mass of a trapezoid

The figure shows a symmetric trapezoidal plate with a base of '2L'. The height and the top are each of length 'L' and the plate is of uniform density. Find the centre of mass of the trapezoid. P.S i have not included figure as scanner not working assuming know what it should look like. A rectangle ...