A wave in a string has a wave function given by: y (x, t) = (0.0300m) sin [(5.35 m^-1) x + (1.63 s^-1) t]
  where t is expressed in seconds and x in meters. Determine:

a) the amplitude of the wave
b) the frequency of the wave
c) wavelength of the wave
d) the speed of the wave

A 5.00-MΩ Ω resistor and a 5.00-μ μ F capacitor are connected in series with a power supply. 1) What is the time constant for the circuit

Part B A 20.0-μ μ F capacitor has an initial charge of 100.0 μ μ C. 1) If a resistance of 20.0 Ω Ω is connected across it, what is the initial current through the resistor?

Part C A 12.5-μ μ F capacitor is charged to a potential of 30.0 V and then discharged through a 65.0­ Ω Ω resistor. 1) How long after discharge begins does it take for the capacitor to lose 90.0% of its initial charge? (Express your answer to three significant figures.) ms m s 2) How long after discharge begins does it take for the capacitor to lose 90.0% of its initial energy? (Express your answer to three significant figures.) ms m s 3) What is the current through the resistor at the time when the capacitor has lost 90.0% of its initial charge? (Express your answer to three significant figures.) mA m A 4) What is the current through the resistor at the time when the capacitor has lost 90.0% of its initial energy? (Express your answer to three significant figures.) mA

The Doppler effect - the shift in frequency/wavelength of a sound source when there is relative motion between source & observer - and a Sonic Boom - a conical region of compression that forms around the sound source when its speed exceeds the speed of sound in the medium of the source, and results in an observed "boom" when part of the cone passes the observer's location - are two interesting, common, as well as connected phenomena seen this week.

For the Doppler effect, give and discuss briefly two applications, see if you can do one stemming from nature and one technology (man-made).

For the sonic boom, see if you can give two occurrences stemming from nature and two from man-made situations.

Please no handwritten or picture respones - only typed replies.

With axle and spokes of negligible mass and a thin rim, a certain bicycle wheel has a radius of 0.350 m and weighs 33.0 N; it can turn on its axle with negligible friction. A man holds the wheel above his head with the axle vertical while he stands on a turntable that is free to rotate without friction; the wheel rotates clockwise, as seen from above, with an angular speed of 66.0 rad/s, and the turntable is initially at rest. The rotational inertia of wheel + man + turntable about the common axis of rotation is 2.00 kg·m2. The man's free hand suddenly stops the rotation of the wheel (relative to the turntable). (a) Determine the resulting angular speed of the system. (b) Is the direction of the rotation clockwise or counterclockwise?

Consider the projectile motion of two balls. Ball A is launched horizontally (no vertical component of velocity) with an initial speed of 100 m/s from an initial position 1 m above the ground. Ball B is launched straight upward (no horizontal component of velocity) with an initial speed of 1 m/s from an initial position 0.5 m above the ground. The two balls are launched at the same time. Assume that air resistance doesn’t matter in this problem and assume the ground is perfectly flat.

a) What is the horizontal component of velocity for each ball when they hit the ground?

b) What is the vertical position of ball B when it reaches its maximum height?

c) What time does ball B reach its maximum height? d) Which ball reaches the ground first?

A 1.1 kg mass is held at rest on top of a frictionless and horizontal table. A light string loops over a pulley which is in the shape of a 10 cm radius solid disk which has a mass of 1.1 kg. The light string then supports a mass of 1.1 kg which is hanging in air.

The mass on the table is released and the suspended mass falls. What is the acceleration of the falling mass.

What is the tension in the string which is attached to the sliding mass on the table?

What is the tension of the string which supports the hanging mass?

Sprinter Usain Bolt reached a maximum speed of 11.2 m/s in 2.0s while running 100-m dash. A) what was his acceleration? B) What distance did he travel during his first 2.0s of the race? C) What assumptions did you make? D) What time interval was needed to complete the race assuming that he ran the last part of the race at his maximum speed? E) what is the total time of the race? How certain are you of the number you calculated?

*****Show all work*******

Considering the Electro Magnetic Flow Meter application of electromagnetism. Discuss its operation principle, theoretical background and future developments

Consider a dense electron gas in a given metal. What is the characteristic temperature? What does this mean physically?

What is the center of mass of the ammonia molecule? This molecule has the chemical formula NH3. It is comprised of one nitrogen atom and three hydrogen atoms. The hydrogens are positioned at the corners of an equilateral triangle (with side length 0.16 nm) which forms the base of a pyramid. The nitrogen atom is at the apex of this pyramid, a vertical distance of 0.037 nm above the plane of the equilateral triangle. The lengths and distances in this question have been given in nanometres or nm, where 1 nm = 1 × 10?9 m.

what is quantum scattering?

The diagram below is a top-down view of two children pulling a 11.1-kg sled along the snow. The first child exerts a force of F1 = 10 N at an angle θ1 = 45° counterclockwise from the positive x direction. The second child exerts a force of F2 = 8 N at an angle θ2 = 30° clockwise from the positive x direction.

Identify and describe the steps of the scientific method.
Identify general trends in a data plot.
Convert between SI and American units, as well as within units of the same system (i.e., from feet to miles).
Use kinetic/mathmatical equations to find acceleration, velocity, position, or time.
What sre Newton’s three laws of motion.
How to Add vectors, including vectors that represent forces and velocity.
Explain the difference between weight and mass.
Explain the concept of conservation of linear and angular momentum and its applications.
Formula to Apply impulse with conservation of momentum.

You have discovered a new galaxy and you think you have identified an Type II Cepheid star with a period of 30 days. You measure its brightness and with the Period-Luminosity function you calculate the distance to the galaxy d. However, you later find out that in fact the star you had identified is a Type I Cepheid. Is the galaxy further than, or, close to, us than we previously expected? By what factor should you multiply d to get the correct distance to the new galaxy? [Hint: check the diagram in the slides for the Distance Ladder lecture]

A Gaussian surface in the form of a hemisphere of radius R = 9.86 cm lies in a uniform electric field of magnitude E = 7.16 N/C. The surface encloses no net charge. At the (flat) base of the surface, the field is perpendicular to the surface and directed into the surface. What is the flux through (a) the base and (b) the curved portion of the surface?