The speed of light 3 × 10⁸ m / s, can be expressed in terms of other fundamental constants relating to electricity and magnetism. Give this algebraic expression and briefly explain where it comes from.

The 1.0 kg block in the figure is tied to the wall with a rope. It sits on top of the 2.0 kg block. The lower block is pulled to the right with a tension force of 20 N. The coefficient of kinetic friction at both the lower and upper surfaces of the 2.0 kg block is μk = 0.43.

What is the tension in the rope holding the 1.0 kg block to the wall?

What is the acceleration of the 2.0 kg block?

The figure shows an 8.5 kg stone at rest on a spring. The spring is compressed 11 cm by the stone. (a) What is the spring constant? (b) The stone is pushed down an additional 32 cm and released.What is the elastic potential energy of the compressed spring just before that release? (c) What is the change in the gravitational potential energy of the stone–Earth system when the stone moves from the release point to its maximum height? (d) What is that maximum height, measured from the release point?

Describe the different ways that radioactivity is used to measure the ages of different objects. Give as much detail as you can. Include such things as what is meant by the “age” of an object. Your write-up should be about 200-300 words for this part of the exercise.

Physics Hang Glider

You are flying a hang glider at 14 mph in the northeast direction (45°). The wind is blowing at 4 mph from due north.

a) What is your airspeed?

b) What angle (direction) are you flying?

c) The wind increases to 14 mph from the north. Now what is your airspeed and what direction are you flying? If your destination is to the northeast, how would you change your speed or direction so you might make it there? Test your answer using the sim.

A spherical charge distribution of radius R has a charge Q distributed uniformly over its volume. Find the magnitude of the electric field E(r) and the electric potential V (r) for all r.

A UPS worker places a 5.00 kg package at the top of a smooth ramp 2.60 m above the horizontal and gives the package an initial velocity of 4.25 m/s as it slides down the ramp. After it reaches to the bottom of the packaging ramp, the box slides across a smooth floor until it compresses a spring with a stiffness of 3830 N/m.

a) How much will the spring be compressed before the block comes to a stop?

b) If the spring can do work at a rate of 385 W, how long will it take for the spring to be compressed by the package?

An object is placed 22.7 cm to the left of a diverging lens (f = -13.0 cm). A concave mirror (f = 9.99 cm) is placed 29.9 cm to the right of the lens to form an image of the first image formed by the lens. Find the final image distance, measured relative to the mirror. (b) Is the final image real or virtual? (c) Is the final image upright or inverted with respect to the original object?

solve & explain please

If an electron is accelerated from 2 mm/s through a potential difference of 500 V between two parallel plates separated by a distance of 2.0 cm. What is the speed of the electron?

A 12,000 N car starts from rest and rolls down a hill from a height of 10.0 m (see figure). It then moves across a level surface and collides with a light spring-loaded guardrail.

(a) Neglecting any losses due to friction, and ignoring the rotational kinetic energy of the wheels, find the maximum distance the spring is compressed. Assume a spring constant of 1.2  10⁶ N/m.
? m

(b) Calculate the maximum acceleration of the car after contact with the spring, assuming no frictional losses.
? m/s²

(c) If the spring is compressed by only 0.30 m, find the change in the mechanical energy due to friction.
? J

In the figure, we must apply a force of magnitude 82.0 N to hold the block stationary at x = -2.00 cm. From that position, we then slowly move the block so that our force does +7.00 J of work on the spring–block system; the block is then again stationary. What are the block's positions? ((a) positive and (b) negative)

A proton in an atomic nucleus is bound to other protons and neutrons in the nucleus by the strong nuclear force when it is within approximately 3 fm of another particle. What is the approximate kinetic energy of a proton that is localized to such a region? What would be the corresponding energy of an electron localized to within such a region? Compare this to typical beta energies for beta decay. Is a release of electrons

A 50 kg teenager just got his license and is driving his brand new Escalade (mass 1100 kg) at 30 m/s. As he is texting and driving, he crashes into a stopped minivan, which has a mass of 980 kg. Since he is not wearing a seatbelt, he flies out of the window after the crash. If the Escalade and Minivan move together with a speed of 13 m/s after the perfectly elastic crash, with what velocity is the teenage (former) driver now flying through the air?

In this section we will study the problem of gender-wage discrimination. It is often argued that women are paid less than equally qualified men to do the same job. This is also true in academia. The University of Calgary administrators are trying to determine the gender earnings gap in order to `compensate' women who are underpaid. In the empirical analyses that follow, the following variables are defined as:

Y - Log earnings

F - female indicator

Age - age of individual

Assoc - indicator for Associate Professor Rank

Full - indicator for Full Professor Rank

ϴ_f- faculty/college indicators (e.g., Social Science, Engineering, Business...)

ϴ_d- department indicators (e.g., economics, history...)

1. Consider the following:

E[Y_i|F_i = 1] - E[Y_i|F_i = 0]

Do you think that this identified the causal effect of being a woman on wage? Explain.

2. Consider the following regression equation:

Y_i = β₀ + αF_i + ε_i                                                                                                                       (1)

What variation in the data is being used to identify the male-female difference in earnings?

3. Consider the following augmented regression:

Y_i = β₀ + αF_i + βAge_i + ε_i                                                                                                          (2)

How does adding age to the regression change the source of variation used in identifying the male-

female wage differential?

If female professors are, on average, younger than male professors, how would you expect the estimate of α to change from equation (1)?

4. Consider the following augmented regression:

Y_i = β₀ + αF_i + βAge_i + γ₁Assoc_i + γ₁Full_i + ε_i                                                                                                                  (3)

Now what variation in the data is used to identify the male-female difference in earnings? How would the estimate of α change relative to equation (1) if females are over-represented in the assistant professor rank?

5. Consider the following augmented regression:

Y_i = β₀ + αF_i + βAge_i + γ₁Assoc_i + γ₁Full_i + ϴ_f + ε_i                                                                     (4)

Now what variation in the data is used to identify the male-female difference in earnings? How would the estimate of α change relative to question 2 if females are over-represented in the higher paying faculties/colleges? What is the difference between running this regression and running regression 3 separately for each faculty/college?

6. Discuss whether or not you would want to interact the department (or Assoc and Full) indicators with the female indicator. What other interactions might be important? What problems might you run into if you try to include too many interactions?

7. Suppose the regression in question e suggested that women were underpaid relative to men. Discuss a few things that might be “left out" of this regression that you would ideally want to control for.

Which of the following statements are correct?
A. All oscillatory motion is Simple Harmonic Motion.
B. Simple Harmonic motion is a special case of oscillatory motion.
C. Oscillatory motion is a special case of Simple Harmonic motion.
D. Oscillatory motion cannot be Simple Harmonic motion

Which of the following statements is correct?
A. In simple harmonic motion, kinetic energy is constant.
B. In simple harmonic motion, potential energy is constant.
C. In simple harmonic motion, the sum of kinetic and potential energy is constant.
D. In simple harmonic motion, the difference between kinetic and potential energy is constant.