IP A charge of 19.0 μC is held fixed at the origin.

Part A-

If a -5.50 μC charge with a mass of 3.60 g is released from rest at the position (0.925 mm, 1.17 mm), what is its speed when it is halfway to the origin?

Part B-

Suppose the -5.50 μCμC charge is released from rest at the point x = 1/2(0.925mm) and y = 1/2(1.17mm). When it is halfway to the origin, is its speed greater than, less than, or equal to the speed found in part A?

Part C-

Explain.

Essay answers are limited to about 500 words (3800 characters maximum, including spaces).

3800 Character(s) remaining

Part D-

Find the speed of the charge for the situation described in part B.

A rocket is projected upward from the earth's surface (r = R_E) with an initial speed v₀ that carries it to a distance r = 1.5 R_Efrom the center of the earth. What is the launch speed v₀? Assume that air friction can be ignored.

Suppose that each vehicle is initially moving at 7.0 m/s and that they undergo a perfectly inelastic head on collision. Each driver has a mass of 80.0 kg. Including the drivers, the total vehicle masses are 800 kg for the car and 4000 kg for the truck.

(a) if the collision time is 0.150 s, what average forces does the seatbelt exert on the truck driver? N

(b)What average force does the seatbelt exert on the car driver? N

Consider 3 long parallel wires arranged such that they form an equilateral triangle in a plane perpendicular to them. The upper wires carry l 185A and 13SA in the same direction while the lower wire carries lg 370A in opposite direction. Calculate the intensity (magnitude and direction) of the magnetic field at the center of the triangle. For direction specify an angle with respect to any line you want. 1.3

1. A large open tank contains fresh water of constant density (p = 1000 kg/m3).

a) Construct an algebraic expression for the absolute pressure (P) at a specific depth below the surface of the water (y) in terms of gravitational acceleration (g), the depth of water (y), and the density of water (ρ).

A 12.2??F capacitor is connected through a 0.885?M? resistor to a constant potential difference of 60.0 V.

Part A. Compute the charge on the capacitor at the following times after the connections are made: 0, 5.0

s, 10.0 s, 20.0 s, and 100.0 s.

Part B. Compute the charging currents at the same instants.

Answer the following short questions.

a. A rectangular block has a resistivity of ? and resistance of ?. If we scale it up in size by a factor of 2 in every direction, what is the new resistivity and resistance as a function of ? and ??

b. Small aircraft often use 24-V electrical systems rather than the 12-V systems used in automobiles, even though the electrical power requirements are roughly the same. This is because a 24-V system uses thinner wires and therefore weighs less. Explain this reasoning.

c. Show why the internal resistance of a source can be determined by dividing the open-circuit voltage by the short-circuit current.

d. Assuming each source has a small internal resistance, which circuit(s) would light up the light bulb? Which circuit(s) do you think would be likely to cause damage to the ammeter or voltmeter?

2. You have a battery, a voltmeter, and an ammeter, and you are asked to find the resistance perunit-length ?′ of a long spool of wire. You connect the voltmeter to the battery and it reads 3.2 V. You connect the battery to 20 m of the wire with the ammeter in series and it reads 9.6 A. You then connect a 50 m length of wire and the ammeter now reads 4.1 A.

a. What is the resistance per-unit-length of the wire and internal resistance of the battery?

b. If the wire is made from copper, with a resistivity of ? = 1.7×10−8 Ω⋅m, what is its diameter? c. What is the percentage of power dissipated within the internal resistance of the battery relative to the total power dissipated? Is this percentage larger, smaller, or the same as for the 50 m wire? 3. Consider the following circuit containing two sources, each with an internal resistance of 5 , and two load resistors, being 40  and 100 . a. How much current flows through this circuit and in what direction does it flow? b. What is the potential at a relative to ground? What is the potential at b relative to ground?

c. Where in the circuit is the potential the highest? Where is it the lowest?

d. Calculate the total power dissipated in both load resistors. 2 e. If the 100 Ω resistor is replaced by a short circuit, is the total power absorbed by the 40 Ω resistor greater than, equal to, or less than the total power initially absorbed by both resistors? f. How much power is supplied by each source? (Include the effect of the internal resistances.)

4. The average bulk resistivity inside the human body is about 5 Ω.m. The surface resistance of the skin varies considerably, from around 100,000 Ω for dry skin to 1000 Ω for wet skin. If the skin is broken and soaked in salt water, the skin resistance will even approach zero. Furthermore, the skin resistance can break down when voltages are high (above 500 V) or when voltages are changing (like under alternating current conditions). You can model the conducting path between the hands as three resistors in series. The first and third resistors represent the skin resistance while the second resistor represents the internal resistance of the body and can be modeled as a cylinder of diameter 10 cm and length 1.6 m.

a. Calculate the resistance between the hands for dry skin, wet skin, and broken soaked skin.

b. What potential difference would be needed for a lethal shock current of 100 mA in each of the three cases in part a (ignoring breakdown)?

c. Considering the chart below (taken from C. F. Dalziel, “Deleterious effects of electric shock,” 1961), how bad would a worst-case shock be from a 12 V DC car battery, your 50 V DC home phone line, and a 120 V 60 Hz wall outlet (i.e. with broken soaked skin)? Warning, don’t test any of these situations out at home! Despite your findings, there have been cases where people have died of an electric shock from a car battery. DC 60 Hz AC 10 kHz AC Effect Men Women Men Women Men Women Slight sensation on hand 1 mA 0.6 mA 0.4 mA 0.3 mA 7 mA 5 mA Perception threshold, median 5.2 mA 3.5 mA 1.1 mA 0.7 mA 12 mA 8 mA Shock, not painful and muscular control not lost 9 mA 6 mA 1.8 mA 1.2 mA 17 mA 11 mA Painful shock, muscular control lost by 0.5% 62 mA 41 mA 9 mA 6 mA 55 mA 37 mA Painful shock, let-go threshold, median 76 mA 51 mA 16 mA 10.5 mA 75 mA 50 mA Painful and severe shock, breathing difficult, muscular control lost by 99.5% 90 mA 60 mA 23 mA 15 mA 94 mA 63 mA Possible ventricular fibrillation 500 mA 500 mA 100 mA 100 mA n/a n/a

Question 1:

A near-sighted person might correct his vision by wearing diverging lenses with focal length f = -50cm . When wearing his glasses, he looks not at actual objects but at the virtual images of those objects formed by his glasses. Suppose he looks at a 12cm -long pencil held vertically 2.0m from his glasses. Use ray tracing to determine the location of the image. Answer is in meters.

Question 2:

A 1.0-cm-tall object is 60 cm in front of a diverging lens that has a -30 cm focal length.

a) Calculate the image position in cm.

b) Calculate the image height in cm.

Show work please! Thank you!!

Research and explain in more detail than given in the lecture pages how a Molecular switch works and what the prospects are for building a molecular computer that makes use of these switches.

It's possible to estimate the percentage of fat in the body by measuring the resistance of the upper leg rather than the upper arm; the calculation is similar. A person's leg meas-ures 40cm between the knee and the hip, with an average leg diameter (ignoring bone and other poorly conducting tissue) of 12cm . A potential difference of 0.79V causes a current of 1.6mA .

What are the fractions of muscle and fat in the leg?

Please show full work, and explantion, and units for full credit.

A car of mass 1110 kg enters a banked turn with a banking angle of 11.1° and a radius of 300 m at a speed of 30.0 m/s. The coefficient of static friction between the car’s wheels and the pavement is 0.0881. The turn covers a total of 1 45°.

(a) If the car experiences a drag force that of D=kv where k=32.0kg/s, how much thrust must the car provide to maintain constant velocity in the turn?

(b) If the engine of the car suddenly cuts out at 2.10 s after entering the curve, and the only tangential force acting on the car is the drag force, how fast will the car be traveling by the time it exits the curve?

(c) Will the car begin to slip before it exits the curve in this case above where the engine fails after 2.10 s?

A 90.0cm3 box contains helium at a pressure of 1.90atm and a temperature of 100?C. It is placed in thermal contact with a 220cm3 box containing argon at a pressure of 4.30atm and a temperature of 400?C.

A. What is the initial thermal energy of each gas?

B. What is the final thermal energy of each gas?

C. How much heat energy is transferred, and in which direction?

D. What is the final temperature?

E. What is the final pressure in each box?

1) A ball is tossed from an upper-story window of a building. The ball is given an initial velocity of 8..00 m/s at an angle of 20.0 below the horizontal. It strikes the ground 5 .00 s later.

A) How far horizontally from the base of the building does the ball strike the ground?

B) Find the height from which the ball was thrown.

C) How long does it take the ball to reach a point 10.0 m below the level of launching?

2) As it passes over grand bahama island, the eye of a hurricane is moving in a direction 60.0 north of west with a speed of 41.0km/h. Three hours later, it shifts due north, and its speed slows to 25.0km/h.

A) How far from Grand Bahama is the eye 4.50 h after it passes over the island?

1. The treasure map in the figure gives the following directions to the buried treasure: "Start at the old oak tree, walk due north for 510 paces, then due east for                 150 paces. Dig." But when you arrive, you find an angry dragon just north of the tree. To avoid the dragon, you set off along the yellow brick road at an angle 60                 ^\circ east of north. After walking 350 paces you see an opening through the woods.

a. Which direction should you go to reach the treasure?

b. How far should you go to reach the treasure?

2. A supply plane needs to drop a package of food to scientists working on a glacier in Greenland. The plane flies 190m  above the glacier at a speed of 160m/s .

a. How far short of the target should it drop the package?

3. An old-fashioned single-play vinyl record rotates on a turntable at 48.0rpm . What are (a) the angular velocity in rad/s and (b) the period of the motion?

4. Your roommate is working on his bicycle and has the bike upside down. He spins the 70.0cm -diameter wheel, and you notice that a pebble stuck in the tread goes by three times every second.

a. What is the pebble's speed?

b. What is the pebble's acceleration?

A proton (?? = +?, ?? = 1.0 u; where u = unified mass unit ≃ 1.66 × 10−27kg), a deuteron (?? = +?, ?? = 2.0 u) and an alpha particle (?? = +2?, ?? = 4.0 u) are accelerated from rest through the same potential difference ?, and then enter the same region of uniform magnetic field ?⃗⃗ , moving perpendicularly to the direction of the magnetic field.

A) What is the ratio of the proton’s kinetic energy ?? to the alpha particle’s kinetic energy ???

B) What is the ratio of the deuteron’s kinetic energy ?? to the alpha particle’s kinetic energy ???

C) If the radius of the proton’s circular orbit ?? = 10 cm, what is the radius of the deuteron’s orbit ???

D) What is the radius of the alpha particle’s orbit ???