Question 6. We think of the response of the circuit as the ratio of the maximum current to the maximum voltage provided. Explain why the ratio of the maximum current to the maximum current of the entire circuit will be largest when the two reactances are equal. When this is the case, we think of the RLC circuit as responding as strongly as possible to the AC current and say that it is resonating.

A 7.80-nC charge is located 1.70 m from a 4.30-nC point charge.

(a) Find the magnitude of the electrostatic force that one charge exerts on the other.

Answer in N

(b) Is the force attractive or repulsive?

Question 1

Which of the following is least likely be categorized as “science”?

4 points

Question 2

You notice that when the parchment paper of an ancient document is exposed to a certain chemical, the parchment paper becomes a different color. What have you done?

4 points

Question 3

Which of the following is NOT out of place in the context of the scientific method?

4 points

Question 4

A scientific observation must be which of the following?

4 points

Question 5

Kepler’s first law of planetary motion says:

4 points

Question 6

Vectors are quantities with which of the following properties?

4 points

Question 7

The measurement of how velocity is changing over a period of time is called:

4 points

Question 8

Which of the following is the best definition of energy?

4 points

Question 9

Which of the following is NOT a kind of potential energy?

4 points

Question 10

When a group of organisms get all their energy from the same source, werefer to them as:

4 points

Question 11

In science, heat is commonly measured in what unit?

4 points

Question 12

The coldest possible temperature—absolute zero—is which of the following?

4 points

Question 13

Which one of the following is NOT a statement from the Second Law ofThermodynamics?

4 points

Question 14

Which of the following is something common to both the electrical force andthe gravitational force?

4 points

Question 15

When electric charges are in motion, we have:

4 points

Question 16

An electric motor does which of the following?

4 points

Question 17

One significant difference between matter waves (such as earthquakes and sound waves and water waves) and electromagnetic waves is which of the following?

4 points

Question 18

The nature of an electromagnetic wave is that:

4 points

Question 19

The most energetic kind of electromagnetic radiation is which of the following?

4 points

Question 20

If you use an electrical current to break down water, you get what two gases?

4 points

Question 21

How is the organization of the Periodic Table of Elements related to the number of electrons in the outermost shell of atoms?

4 points

Question 22

In the Rutherford model of the atom, electrons would not stay in orbit very long because they would spiral down into the nucleus. Yet, the Rutherford Model is similar to the planetary model of the solar system. Why don’t the planets spiral down into the Sun?

4 points

Question 23

When two atoms link up we call that:

4 points

Question 24

Because of the distribution of electrical charges in metals, metals tend to be:

4 points

Question 25

The covalent bond is like the ionic bond because of _________, and it is like the metallic bond because of __________.

A firework of mass 0.25 kg is launched at an angle of 75o above the horizontal, pointing due west. The initial speed of the firework is 69 m/s. At the top of its trajectory, it explodes into two pieces of equal mass. One of the pieces takes 2.1 s to fall to the ground, and lands on the ground a distance of 53 m due west from the launch position. Neglect air resistance.

(a) Find the velocity of both pieces just after the explosion.

(b) Where does the other piece land?

(c) Sketch a picture of the resulting motion and convince yourself that it is plausible.

Consider a beam of electrons in a vacuum, passing through a very narrow slit of width 2.00?m. The electrons then head toward an array of detectors a distance 1.080m away. These detectors indicate a diffraction pattern, with a broad maximum of electron intensity (i.e., the number of electrons received in a certain area over a certain period of time) with minima of electron intensity on either side, spaced 0.508cm from the center of the pattern. What is the wavelength ? of one of the electrons in this beam? Recall that the location of the first intensity minima in a single slit diffraction pattern for light is y=L?/a, where L is the distance to the screen (detector) and a is the width of the slit. The derivation of this formula was based entirely upon the wave nature of light, so by de Broglie's hypothesis it will also apply to the case of electron waves.

Express your answer in meters to three significant figures.

A 20.0 cm long organ pipe is filled with air and is open at one end and closed at the other. The velocity of sound in air at 0

What Happens To The Ball At The Top Of Its Path ?: Your partner argues the following about a ball that is tossed vertically upward: “At the top of its path the ball stops for a while so its velocity is zero. Also, the net force on it is zero so its acceleration is also zero.”

Do you agree with your partner’s statement?

What evidence do you have from your own observations and experiments to validate or invalidate the various assertions of your partner?

A vertical tube 1.1cm in diameter and open at the top contains 4.8g of oil (density 0.82 g/cm3) floating on 4.8g of water.

A) Find the gauge pressure at the oil-water interface.

B) Find the gauge pressure at the bottom.

• Based on your experimental observations, data, graphs, and conclusions discuss the behavior of a charged particle in a magnetic field. Be sure to use your information from each part of the experiment.
• State the formula for the force on a charge in a magnetic field.
• With the exception of compasses, you seldom see or personally experience forces due to the Earth’s small magnetic field. To illustrate this, suppose that in a physics lab you rub a glass rod with silk, placing a 20-nC positive charge on it. Calculate the force on the rod due to the Earth’s magnetic field, if you throw it with a horizontal velocity of 10 m/s due west in a place where the Earth’s field is due north parallel to the ground
• If a charged particle moves in a straight line through some region of space, can you say that the magnetic field in that region is necessarily zero? Explain your answer.
• A cosmic ray proton moving toward the Earth at 5.00 × 107 experiences a magnetic force of 1.70 × 10−16 N. What is the strength of the magnetic field if there is a 45º angle between it and the proton’s velocity? Is this value consistent with the known strength of the Earth’s magnetic field on its surface? Discuss.

A uniformly charged insulating rod of length 19.0 cm is bent into the shape of a semicircle as shown in the figure below. The rod has a total charge of -6.50

1. The "reaction time" of the average automobile driver is about 0.7s . (The reaction time is the interval between the perception of a signal to stop and the application of the brakes.) An automobile can slow down with an acceleration of 10.2ft/s2 .

Part A: Compute the total distance covered in coming to a stop after a signal is observed from an initial velocity of 15.6mi/h . (in a school zone)

Part B Compute the total distance covered in coming to a stop after a signal is observed from an initial velocity of 54.0mi/h .

Answers must be in ft.

2. A rock is thrown vertically upward with a speed of 11.0m/s from the roof of a building that is 50.0mabove the ground. Assume free fall.

Part A In how many seconds after being thrown does the rock strike the ground?

Part B What is the speed of the rock just before it strikes the ground?

3. The rocket-driven sled Sonic Wind No. 2, used for investigating the physiological effects of large accelerations, runs on a straight, level track that is 1080 m long. Starting from rest, it can reach a speed of 1610km/h in 1.60s .

Part A Compute the acceleration in m/s2.

Part B Compute the acceleration in g

I'm struggling a bit with angular momentum.

Consider the satellites of the planets orbiting their respective host planets while those planets orbit the Sun. Galileo's observation of Jupiter's "moons" were an inspiration to the development of universal laws of motion and gravity that could describe not only effects here on Earth, but throughout the universe as well. Jupiter's satellite Europa has oceans under its ice and may even host life. It orbits the planet on a nearly circular path with a radius of 670,900 km and completes its orbit every 3.55 Earth days. Use Newton's universal law of gravitation to find the mass of Jupiter. Knowing Jupiter's mass, and that it orbits the Sun on the average (it has an elliptical orbit with an eccentricity of 0.05) at 7.8×108 km from the Sun in 11.86 years, what is its angular momentum? Compare Jupiter's orbital angular momentum to the angular momentum of the rotating Sun, which is a spinning sphere of radius 695,700 km and mass 1.99×1030 kg that completes a turn in 25 days (with respect to distant stars).

Four resistors are connected to a battery as shown in the figure. The current in the battery is I, the battery emf is ? = 6.20 V, and the resistor values are R1 = R, R2 = 2R, R3 = 4R, R4 = 3R. Find the voltages across each resistor. R 1, R2 and R3 are in series. R4 is in parallel.

In a volcanic eruption, a 2.40 � 103 kg boulder is thrown vertically upward into the air. At its highest point, it suddenly explodes (due to trapped gases) into two fragments, one being three times the mass of the other. The lighter fragment starts out with only horizontal velocity and lands 253mdirectly north of the point of the explosion.

Part A:

Where will the other fragment land? Neglect any air resistance.

Express your answer using three significant figures.

A mass m1 on a horizontal shelf is attached by a thin string that passes over a frictionless pulley to a 2.4 kg mass (m2) that hangs over the side of the shelf 1.2 m above the ground. The system is released from rest at t = 0 and the 2.4 kg mass strikes the ground at t = 0.86 s. The system is now placed in its initial position and a 1.2 kg mass is placed on top of the block of mass m1. Released from rest, the 2.4 kg mass now strikes the ground in 1.3 seconds.

(a) Determine the mass m₁.

(b) Determine the coefficient of kinetic friction between m₁ and the shelf.