A.) Sunlight strikes a piece of crown glass at an angle of incidence of 31.5deg. Calculate the difference in the angle of refraction between a yellow (580 nm) and a violet (410 nm) ray within the glass. The index of refraction is n=1.523 for yellow and n=1.538 for violet light. You have to calculate the angle of refraction for both light rays (they have different indices of refraction). You are looking for the difference of these angles.

B.) The ray now travels inside the glass. What is the minimum angle of incidence at which the yellow ray can hit the surface of the glass and become there totally internally reflected and not refracted? The angle of incidence is the angle with respect to the normal. Now the beam comes from inside and wants to leave the medium. Since the index of refraction of the medium is larger than 1 (index of refraction of air) there is a critical angle at which the beam is totally internally reflected.

1. In the lab, a student has created an oscillator by hanging a weight from a spring. The student releases the oscillator from rest and uses a sensor and computer to find the equation of motion for the oscillator: x(t) = 0.13m cos (6.3 ?????? t + 0.14 radians)The student ? then replaces the weight with a weight whose mass, m is twice as large as that of the original weight. The student again releases the weight from rest from the same displacement from equilibrium. What would the new equation of motion be for the oscillator?

2. Show that if one sound is twice as intense as another, it has a sound level of about 3 dB higher.

A bicycle racer sprints at the end of a race to clinch a victory. The racer has an initial velocity of 11.0 m/s and accelerates at the rate of 0.350 m/s2 for 7.00 s.

(a) What is his final velocity (in m/s)? 13.45 Correct: Your answer is correct. m/s

(b) The racer continues at this velocity to the finish line. If he was 300 m from the finish line when he started to accelerate, how much time (in s) did he save?

(c) One other racer was 5.00 m ahead when the winner started to accelerate, but he was unable to accelerate and traveled at 11.4 m/s until the finish line. How far ahead of him (in meters and in seconds) did the winner finish?

Bobsleds racing down a bobsled run often suffer glancing collisions

with the vertical walls enclosing the run. Suppose that a

bobsled of 600 kg traveling at 120 km h approaches a wall at

an angle of 3.0 and bounces off at the same angle. Subsequent

inspection of the wall shows that the side of the bobsled made

a scratch mark of length 2.5 m along the wall. From these

data, calculate the time interval the bobsled was in contact

with the wall, and calculate the average magnitude of the force

that acted on the side of the bobsled during the collision.

Determine which of the following observations are testable. For those that are testable:

• Determine if the observation is qualitative or quantitative.

• Write a hypothesis and a null hypothesis.

• What would be your experimental approach?

• What are the dependent and independent variables?

• What are your controls - both positive and negative?

• How will you collect your data?

• How will you present your data (e.g., chart, graph)?

• How will you analyze your data?

OBSERVATIONS

1. A plant grows three inches faster per day when placed on a windowsill than it does when placed on a on a coffee table in the middle of the living room.

2. The teller at the bank with brown hair and brown eyes is taller than the other tellers.

3. When Sally eats healthy foods and exercises regularly, her blood pressure is 10 points lower than when she does not exercise and eats fatty foods.

4. The Italian restaurant across the street closes at 9 pm but the one two blocks away closes at 10 pm.

5. For the past two days, the clouds have come out at 3 pm and it has started raining at 3:15 pm.

6. George did not sleep at all the night following the start of daylight savings.

A railroad car moving at a speed of 3.20 m/s overtakes, collides, and couples with two coupled railroad cars moving in the same direction at 1.20 m/s. All cars have a mass of mass 1.10 105 kg. Determine the following.

(a) speed of the three coupled cars after the collision____ (Give your answer to at least two decimal places.) m/s

(b) kinetic energy lost in the collision ___ J

2. A cue ball at rest on a frictionless pool table is hit dead center by a pool stick, giving it an impulse of +0.55 N · s. The ball slides (the combination of hitting the ball dead center and no friction allows this to happen) along the table and makes a head-on elastic collision with another pool ball. If both pool balls have a mass of 0.166 kg, determine the velocity of the second ball the instant after the collision. (Indicate the direction with the sign of your answer.) m/s

A vacuum tube diode consists of concentric cylindrical electrodes, the negative cathode and the positive anode. Because of the accumulation of charge near the cathode, the electric potential between the electrodes is not a linear function of the position, even with planar geometry, but is given by V(x)=Cx4/3 where x is the distance from the cathode and C is a constant, characteristic of a particular diode and operating conditions. Assume that the distance between the cathode and anode is 14.0 mm and the potential difference between electrodes is 200 V

Determine the value of C

Obtain a formula for the electric field between the electrodes as a function of x.

Determine the magnitude of the force on an electron when the electron is halfway between the electrodes

Determine the direction of the force on an electron when the electron is halfway between the electrodes

A wall in a building has a width of 15 m and a height of 3 m. It is made of several layers — a layer of motionless air with an R value of 0.12 K m^2 / W, a 12.4 mm thick layer of gypsum board with a thermal conductivity of 0.17 W/m K, a layer of brick with an R value of 1.7 m^2/ W, and another layer of motionless air with an R value of 0.12 K m^2 / W.

(a) If the temperature inside the building is 27.2 °C and the temperature outside is 33.1 °C, how much power will flow through the wall in steady state?

(b) How much power will flow if we add a layer of foam insulation with an R value of 27.0 K m2/ W?

Earth has a mass of 6.0 x10^24 kg and the moon 7.3 x 10^22 kg. The center of the moon is 238,900 miles from the center of Earth.

The moon goes around the Earth-Moon center of mass with a speed of 2,288 miles per hour (3,683 kilometers per hour).

a.)What is the orbital speed of Earth in the Earth-Moon center of mass frame (total momentum is zero)? Please, give your answer in meters per second.

b.) Using the formula for centripetal force, what is the force of gravity exerted by the Earth on the Moon?

c.) Using the formula for centripetal force, what is the force of gravity exerted by the Moon on Earth?

A baseball has a mass of 3kg and is thrown off a roof with a horizontal velocity of 55m/s with a drag coefficient of 33Ns/m.

The baseball falls for 5s before hitting the ground, what the horizontal and vertical velocity?

How far did the ball travel both vertically and horizontally?

If the bat was thrown off the roof with a horizontal velocity of 13m/s and has a mass of 15kg, what is the bats drag coefficient if it take’s 5s to hit the ground?

What is the best way to design an argon laser that emits at 501.7 nm?