Here is a typical question which I have been asked many times while giving public lectures in various places. While I know one of the paths like Diploma, Masters and PhD but sometimes this is not so obvious for that eager young person who thinks to go on that path. So what that would be?

Needing a solution to this question.

5) A rope of mass m and length ℓ hangs from a ceiling. Show that the wave speed on the rope a distance y above the lower end is v= Square root of gy (10). Would such a hanging rope support a “wave”, as per our definition in Q1? Explain in words?

******NOTE this is question one (Q1). It has been solved already. Just for reference. Thanks

Q1) A good definition of a “wave” is a disturbance of a continuous medium that propagates with a fixed shape at constant velocity. (Griffiths, 1999, Introduction to Electrodynamics). Another way of saying this is the medium (e.g. a string, water, or air) will only propagate a wave as long as its shape satisfies the wave equation: d^2 f/dx^2 =1/v^2 . d^2 f/dt^2 a) Show explicitly whether the displacement function f(x,t) = A sin(kx) cos(ωt) will be propagated in a medium as a wave or not. (5) b) Do the same for the function f(x,t) = A exp(−b(bx2 + vt)) (5) c) Could a string support a disturbance of the form f(x,t)=Asin(kx)cos(x−ωt) as a wave? Your professor will show you what this looks like in class and you will immediately

Radio Antenna: how waves are created, through what mediums, and what types of waves (longitudinal or transverse) -how different frequencies, wavelengths, and amplitudes of waves affect the results. -If constructive/destructive interference occurs. -Most importantly - how resonance plays a part. -Other interesting info.

200 words

A boxcar of length 10.1 m and height 2.4 m is at rest on frictionless rails. Inside the boxcar (whose mass when empty is 3600 kg) a tank containing 1700 kg of water is located at the left end. The tank is 1.0 m long and 2.4 m tall. At some point the walls of the tank start to leak, and the water fills the floor of the boxcar uniformly. Assume that all the water stays in the boxcar.

A. After all the water has leaked out what will be the final velocity of the boxcar? (Take movement to the right as positive. Assume that the mass of the boxcar is evenly distributed.)

B. What is the displacement of the boxcar 9 s after the water has settled in the bottom. (Take positive displacement as being to the right.)

10. Klay Thompson has an amazingly consistent 3 point shot. He consistently releases from let's say 3.0 meters above the ground to enter a hoop 22 ft away (note units). The hoop is 10 ft off the ground.

a. If he shoots with a release angle of 30 degrees, how fast is the ball as it leaves his hands?

b. The same shot is attempted, at the same angle, but bounces off the back of the rim. It went 0.15m past what he wanted. What was the speed on release for this shot?

c. (Opinion) Would you rather be able to do this problem via repetition and feel like Klay does? Or would you rather go through the numbers so that you could program a robot to shoot a ball better than Klay or Curry or Jordan?

( We are doing projectile motion right now )

I also I converted the feet to meters i noticed the hoop is 3 meters(rounded) and so is where Klay shoots his ball.

A parachutist bails out and freely falls 69 m. Then the parachute opens, and thereafter she decelerates at 2.6 m/s2. She reaches the ground with a speed of 3.3 m/s. (a) How long is the parachutist in the air? (b) At what height does the fall begin?

a) A child slides down a water slide at an amusement park from an initial height h. The slide can be considered frictionless because of the water flowing down it. Can the equation for conservation of mechanical energy be used on the child?

YesNo     

(b) Is the mass of the child a factor in determining his speed at the bottom of the slide?

YesNo     

(c) The child drops straight down rather than following the curved ramp of the slide. In which case will he be traveling faster at ground level?

following the curved rampdropping straight down     same speed in either case

(d) If friction is present, how would the conservation-of-energy equation be modified?


(e) Find the maximum speed of the child when the slide is frictionless if the initial height of the slide is 13.5 m. (Assume the child is initially at rest.)
m/s

For College Physics. Please explain in paragraph form. Please type it out as I cannot read some written hand writing

Respond to the following: In your OWN words DON'T copy from an online course.

Explain vector, scalar, speed, velocity, and linear acceleration. Also give examples.

A concrete highway curve of radius 84 m is banked at a 15.3 degree angle. What is the maximum speed with which a 1500 kg rubber-tired car can take this curve without sliding?

First of all, what is the relevant coefficient of friction? (It's 1)

What is the magnitude of the normal force acting on the car?

What is the maximum speed the car can take this curve without sliding?

Does this maximum speed depend on the mass of the car?

An eagle is flying horizontally at 5.2 m/s with a fish in its claws. It accidentally drops the fish. (a) How much time passes before the fish's speed quadruples? (b) How much additional time would be required for the fish's speed to quadruple again?

1-D Kinematics

Experiment 1: Free Fall

In this experiment you will drop the hex nut from different heights. You will explore how height from which the hex nut is dropped affects its falling time and its final velocity.

Procedure

1. a) Write down a hypothesis how height will affect the falling time of an object. (Note: use form: if…… then……)

2. b) Write down a hypothesis how height will affect final velocity of the falling object. (Note: use form: if…… then……)

3. Drop the hex nut from different heights. For each drop, measure the distance from the ground and the time the hex nut is falling down. For each height do at least three measurements of falling time and then calculate the average time.  

Include your measurements in Table 1.

4. Calculate final velocity of falling hex nut using equation:

v = v₀ + at   

Since the initial velocity (the one you start with) in this experiment is always equal to 0 m/s, then the equation you use for calculation is simply:

v = at

Example:

If average t = 2.5 seconds then,

    v = a (2.5 s)   

Since an object is in free fall, acceleration a is equal to gravitational acceleration g = 9.8 m/s².

Therefore,

v = (9.8 m/s²)(2.5 s) = 24.5 m/s

5. Include your calculated values of the final velocity in Table 1.

Data:

Table 1

6. Plot time versus height graph using your data from Table 1 (Note: independent variable is on the x axis and depended variable is on y axis)

Independent Variable: _____________

Dependent Variable: ________________

[include your graph here]

7. Plot final velocity versus height graph using your data from Table 1.

Independent Variable: _____________

Dependent Variable: ________________

[include your graph here]

1. Why don’t the short circuit and open circuit voltage produce power in a p-n cell?

2. The power supplied by a solar cell is proportional to its surface area. Using the flux of solar energy under AM1 conditions, estimate the power a 1-cm² solar cell will yield. State explicitly any assumption you make.

A) Sketch the position vs. time graph for the following motion. Starting at 0.5m from the detector, you moved away at a constant velocity of 3 m/s for 2 seconds, then stood still for 1 second and then walked toward the detector for 1 second at a velocity of 4m/s after which you stood still for 3 seconds.

B) sketch the velocity vs. time graph for the above description.