11. (a) Illustrate the " standing wave " measurement for determining the speed of light . (b) How would we determine the speed of light with this method?

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Tarzan jumps from a cliff and grabs a vine. He jumps horizontally from the cliff with initial velocity v₀ at the time t₀. The vine has mass M and length L. Initially, the vine is hanging straight down and is attached at its highest point, O. After the “collision” Tarzan remains attached to the vine with his center of mass at the lower edge of the vine. Tarzan’s mass is m. The vine behaves as a rod attached without friction to the point O. The moment of inertia of a rod around its center of mass is I = (1/12)ML². You can neglect air resistance.

(a) Find Tarzan’s velocity immediately before the collision with the vine (at t₁).

(b) What is the moment of inertia of the vine about the point O?

(c) Show that the angular velocity of the vine (with Tarzan) immediately after the collision is ω₂ = m/((M/3) + m)(v₀/L).

(d) How far up does Tarzan swing?

(e) How high would Tarzan swing if he jumped from twice the height?

The forces exerted by the limbs of our body on external objects in the environment are often much smaller than the force exerted by the muscle on the limbs. Use a suitable equation to explain the above statement

There are two speakers at the front of the room. Each is outputting a 250Hz pure tone. For each of the following situations, will you hear constructive interference (a loud noise) or destructive interference (soft or no noise). ? represents the wavelength of the 250Hz tone.
Constructive Destructive  You are 2.5? away from speaker A; 3? away from speaker B and at the speakers the waves are exactly in phase.
Constructive Destructive  You are 3? away from speaker A; 2? away from speaker B and at the speakers the waves are exactly out of phase.
Constructive Destructive  You are 3? away from speaker A; 2.5? away from speaker B and at the speakers the waves are exactly out of phase.
Constructive Destructive  You are 2? away from speaker A; 3? away from speaker B and at the speakers the waves are exactly in phase.

There are two speakers at the front of the room. Each is outputting a 250Hz pure tone. For each of the following situations, will you hear constructive interference (a loud noise) or destructive interference (soft or no noise). ? represents the wavelength of the 250Hz tone.
Constructive Destructive  You are 3.5? away from speaker A; 3? away from speaker B and at the speakers the waves are exactly in phase.
Constructive Destructive  You are 2.5? away from speaker A; 3? away from speaker B and at the speakers the waves are exactly out of phase.
Constructive Destructive  You are 2? away from speaker A; 3? away from speaker B and at the speakers the waves are exactly in phase.
Constructive Destructive  You are 6? away from speaker A; 5? away from speaker B and at the speakers the waves are exactly out of phase.

2. (a)
A convex spherical surface of radius +50 mm separates air from glass of refractive index 1.6. A parallel pencil of rays in air is incident on this surface. Find where the refracted pencil comes to a focus in the glass.
(b) Where must a point object be placed in air to make the refracted pencil parallel?
(c) Repeat (a), assuming the incident pencil to be diverging from a point in air 50 cm from the surface.
(d) Repeat (a), assuming the incident pencil to be converging to a point inside the glass 50 mm from the surface.
(e) Repeat (a), assuming the incident pencil to be converging to a point inside the glass 20 mm from the surface (Bennett, chapter 2, question 4).

Can you please explain on sign convention in the answer?

A mass m = 17 kg is pulled along a horizontal floor, with a coefficient of kinetic friction μ_k = 0.06, for a distance d = 5.1 m. Then the mass is continued to be pulled up a frictionless incline that makes an angle θ = 28° with the horizontal. The entire time the massless rope used to pull the block is pulled parallel to the incline at an angle of θ = 28° (thus on the incline it is parallel to the surface) and has a tension T = 34 N.

a) What is the work done by tension before the block gets to the incline?

b) What is the work done by friction as the block slides on the flat horizontal surface?

c) What is the speed of the block right before it begins to travel up the incline?

d) How far up the incline does the block travel before coming to rest?

e) What is the work done by gravity as it comes to rest?

a) In a photoelectric cell, the minimum voltage required to reduce the current to zero is 3.0 V. What is the maximum kinetic energy of the electrons ejected from this cell? (format of a.b x 10^-cd J )

b) A photon of frequency 7.2 x 10¹⁵ hz is incident upon a metal whose threshold frequency is 8.9 x 10¹⁴ Hz, What is the speed of the photoelectron? (format of a.b x 10^c m/s)

c) Light with a wavelength of 425 nm falls on a photoelectric surface that has a work function of 2.0 eV. What is the maximum speed of any emitted photoelectrons? (format of a.b x 10^c m/s)

d) Electrons are ejected from a photoelectric surface with a maximum speed of 4.20 x 10⁵ m/s. If the work function of the metal is 2.55 eV, what is the wavelength of the incident light? (format of a.bc x 10^-d m )

e) A photoelectric cell is illuminated with white light (wavelengths from 400 nm to 700 nm). What is the maximum kinetic energy (in eV) of the electrons emitted by this surface if its work function is 2.30 eV ? (4 digit answer)

Can aliasing be prevented? If so, give one example of how.

The moment arm of the biceps is approximately 2 cm from the axis of rotation of the elbow and the force vector representing the biceps is approximately 115 degrees from the positive x-axis. If the weight of the forearm and hand is 21 N and the center of mass of the segment is 13 cm from the elbow joint:

1. Calculate the muscle force needed to hold the arm in the static position
2. Calculate the vertical component of the joint reaction force
3. Calculate the horizontal component of the joint reaction force
4. Calculate the orientation of the vector representing the joint reaction force.

Post a cohesive response that addresses the following:

As more companies outsource systems development, will there be less need for in-house systems analysts? Why or why not?

A Vogue writer is doing a study for her latest article to be titled “Brain or Brawn”.  The writer found 10 volunteers of the same age and above average looks to observe how many times they are invited on a date in a month.  The different qualities tested are intelligence (GPA) and weight.  The results of 10 volunteers are as follows.  Help In Vogue understands if there is a relationship in this data using Multiple Linear Regression.  Be prepared to present your findings

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