Say you have a bottle of water filled up to a height H. A small hole is drilled in its side at a height d, so that water squirts out. The squirting water travels in an arc as it falls, covering some horizontal distance S away from the bottle before it hits the table top that the bottle sits on. Multi-part question to try to understand this completely:

At what height d should the hole be placed so that its horizontal travel distance S is maximized?

Will S or the optimum value of d depend on the hole diameter?

Does the answer change if you assume that the hole presents zero impedance to the water flow? This might not make sense to ask, or it might be equivalent to asking what happens in the limit of a very large-sized hole (see #2). Not sure.

Thanks to anyone who can help!

Even if the double slit experiment gives interesting (weird) results, it only concludes that each photon interacts with itself after passing the two slits. I have been thinking about a different experimental setup, where you have two well defined light sources (with specific wave lengths and phase) but no slits. And now to my questions: Has anyone ever done such an experiment, and will there be an interference pattern on the wall?

If the answer to the second question is "no", light can not be a true wave - it only has some wavelike properties. But if it is "yes", things become much more interesting.

If there is an interference pattern on the wall, there has to be an interference pattern even if both light sources are emitting single photons at random, but as seldom as, say, once per minute. That in turn would mean that the photons know about each other, even if they are separated in time with several seconds, and the light sources are independent (not entangled).

Two cannons are mounted as shown in the drawing and rigged to fire simultaneously. They are used in a circus act in which two clowns serve as human cannonballs. The clowns are fired toward each other and collide at a height of 0.95 m above the muzzles of the cannons. Clown A is launched at ?_A = 76.0

Given: Law of Conservation of Angular Momentum.

Reverse spinning with dense atmosphere (92 times > Earth & CO2 dominant sulphur based).
Surface same degree of aging all over.
Hypothetical large impact is not a sufficient answer.

Assuming any object large enough to alter a planets rotation or even orbit would likely destroy most of its shape, yet Venus has retained a spherical property with a seemingly flat, even terrain indicating no volcanoes,and few if any visible meteor impacts. It would be fragmented and dispersed for billions of years. Even the question of what meteor, comet, asteroid composition could survive traveling that close to the sun's temperature, radiation, electromagnetic energy, solar flares, or gravity to equal a mass reactionary change as to alter it's spin.

Your firm has been hired to design a system that allows airplane pilots to make instrument landings in rain or fog. You've decided to place two radio transmitters 48m apart on either side of the runway. These two transmitters will broadcast the same frequency, but out of phase with each other. This will cause a nodal line to extend straight off the end of the runway (see Figure 21.30b). As long as the airplane's receiver is silent, the pilot knows she's directly in line with the runway. If she drifts to one side or the other, the radio will pick up a signal and sound a warning beep. To have sufficient accuracy, the first intensity maxima need to be 64m on either side of the nodal line at a distance of 5.0km .

What frequency should you specify for the transmitters?

A car accelerates from rest at a rate of 2.2 m/s^2 for 14.3s. The car then holds this speed for 16.0s, after which there is an acceleration of -3.0 m/s^2 until the car comes to rest.

a) Sketch a position vs. time graph for the car

b) Sketch a velocity vs, time graph for the car

c) What is the total distance traveled by the car?

A glider aircraft initially traveling due west at 87.0 km/h encounters a sudden gust of wind at 39.5 km/h directed toward the northeast (see the figure below). What are the speed and direction of the glider relative to the ground during the wind gust? (The velocity of the glider with respect to the ground is the velocity of the gilder with respect to the wind plus the velocity of the wind with respect to the ground.)

A rescue plane wants to drop supplies to isolated mountain climbers on a rocky ridge 235 m below. The horizontal velocity of the plane is 250 km/h (69.4 m/s). Rescue plane releases the supplies a horizontal distance of 425 m in advance of the mountain climbers.

1/What vertical velocity (up or down) should the supplies be given so that they arrive precisely at the climbers' position?

2/With what speed do the supplies land?

A 10-cm-long thin glass rod uniformly charged to 5.00nC and a 10-cm-long thin plastic rod uniformly charged to - 5.00nC are placed side by side, 3.50cm apart. What are the electric field strengths E1to E3 at distances 1.0 cm, 2.0 cm, and 3.0 cm from the glass rod along the line connecting the midpoints of the two rods?Specify the electric field strength E1,E2,andE3

a)Discuss how a voltmeter should be connected in a circuit so that the circuit, within experimental uncertainties, remains unchanged. Explain why it does not affect the circuit when properly connected?

b)Discuss how an ammeter should be connected in a circuit so that the circuit, within experimental uncertainties, remains unchanged. Explain why it does not affect the circuit when properly connected?

c)Discuss how the voltage changes when resistors are connected in series?

d)Discuss how the current changes when resistors are connected in series?

Answer each question and do not just copy paste information from websites, person who does this the best will receive 1050 points !

Two point charges, -10nC and +18nC are held fixed at a distance of 0.55m apart. Assume that both charges lie on the x-axis, for the -10nC x=0 and for the +18nC charge x=0.55m.

Where can a +20nC charge be placed so that the net force on it is zero?

Where can a -20nC charge be placed so that the net force on it is zero?

A -15nC charge is located at (x, y) = (1.2cm , 0 cm).

What is the x-component of the electric field at the position (x, y) = (0 cm, 4.0cm )?

What is the y-component of the electric field at the position (x, y) = (0 cm, 4.0cm )?

Consider a simple model of the hydrogen atom where 1 electron is in a stable orbit around 1 proton at a distance of 0.05 nm. If the electron were moved to a larger stable orbit (say 0.1 nm), what would be the sign of: deltaU = the change in potential energy? deltaK = the change in kinetic energy? deltaE = the change in mechanical (potential plus kinetic) energy? Would moving the electron to a higher orbit require positive or negative work from external forces?

A particle with a charge of 32.8 moves with a speed of 67.2 m/s in the positive direction. The magnetic field in this region of space has a component of 0.462 T in the positive direction, and a component of 0.849 T in the positive direction. What is the magnitude of the magnetic force on the particle?

What is the direction of the magnetic force on the particle relative to the positive -axis?

Assume all temperatures to be exact, and neglect significant figures for small changes in dimension. An ideal gas in a cylinder is at 11?C and 4.0atm . If it is heated so its rms speed increases by 20{\rm \\%} , what is its new pressure?