A negative charge is moved in the direction of an E⃗E→ field line. Which of the following statements are true? The system is the charge.

A negative charge is moved in the direction of an field line. Which of the following statements are true? The system is the charge.

In a few sentences explain how you can perform and experiment to find out if a circuit element is ohmic or nonohmic. What measurements do you make and how do you decide, based on the results of your measurements.

5. For an object moving in uniform circular motion, does the centripetal force do work on the object?

6. How can two collisions have the same change in momentum even though one collision took longer to happen than the other?

7. In what type of collision is kinetic energy conserved?

8. Ignoring air resistance, an object falls and gains 60 J of kinetic energy. How much gravitational potential energy did the object lose?

9. When is the momentum of a system not conserved?

10. What are the conditions for an object to be in static equilibrium?

Please answer all of them. Thank you so much!

The IORE electric locomotives are some of the most powerful in the world. The locomotives, working in pairs, weigh 180 tons each. They can pull up to 68 iron-ore wagons weighing 120 tons each. The wagons are coupled together using SA-3 couplers that were designed in the Soviet Union in the 1930s.

1. The wheels on the locomotives have a maximum diameter of 1250mm when new and a minimum diameter of 1150mm when worn. If each of the electric motors on the drive axles (of which there are 6 per locomotive) can generate a maximum torque of 115kNm, what is the maximum tensile force that the wagon couplers must withstand when the train is starting from rest?

2. If each electric motor has a constant power output of 920kW, what total force do they apply when the train is travelling on horizontal track at a speed of 60km/h?

3. c) If we assume that the force in part (b) is purely a resistive force due to the air and scales as v², with what constant speed in km/h can the train climb an incline of 10‰ ?

Two forces, vector F₁ and F₂, act at a point. The magnitude of F₁ is 9.50 N, and its direction is an angle 65.0 degrees above the negative direction of x-axis in the second quadrant. The magnitude of F₂ is 5.50 N, and its direction is an angle 53.1 degrees below the negative direction of x-axis in the third quadrant.

Part A: What is the x-component of the resultant force?

Part B: What is the y-component of the resultant force?

Part C: What is the magnitude of the resultant force?

Now let’s consider a projectile problem in which the initial velocity is specified in terms of a magnitude and an angle. Suppose a home-run baseball is hit with an initial speed V₀= 37.0 m/s V₀= 37.0 m/s at an initial angle θ₀=53.1^∘θ₀=53.1^∘. (a) Find the ball’s position, and the magnitude and direction of its velocity, when t= 2.00 s t= 2.00 s. (b) Find the time the ball reaches the highest point of its flight, and find its height H at that point. (c) Find the horizontal range R (the horizontal distance from the starting point to the point where the ball hits the ground).

Express your answer in meters to three significant figures.

A) If the ball could continue to travel below its original level (through an appropriately shaped hole in the ground), then negative values of y corresponding to times greater than 6.04 s would be possible. Compute the x-component of the ball's position 7.40 s after the start of its flight.

B) Compute the y-component of the ball's position 7.40 s after the start of its flight.

C) Compute the x-component of the ball's velocity 7.40 s after the start of its flight.

D) Compute the y-component of the ball's velocity 7.40 s after the start of its flight.

A 5.3-cm-thick layer of oil (n=1.46) is sandwiched between a 1.1-cm-thick sheet of glass and a 2.0-cm-thick sheet of polystyrene plastic (n=1.59). How long (in ns) does it take light incident perpendicular to the glass to pass through this 8.4-cm-thick sandwich?

A 2.0-cm-wide diffraction grating has 1000 slits. It is illuminated by light of wavelength 570 nm . What are the angles of the first two diffraction orders?

b. Compare what happens to potential energy, kinetic energy, and total energy as the skater moves up and down the track. What general statement can you make about the relationship between potential and kinetic energy?

c. Notice that the bar entitled “Thermal” energy does not deviate from zero. This represents an energy that is transformed into "heat" energy. What must be true of this skate park for this to remain at zero?

d. Vary the skater's Mass with the slider on the right while the simulation is running. Describe the similarities and differences that changing the mass has on the bar graphs.

e. Click on the Friction tab at the bottom and choose the parabola track. Place the skater at the top. Examine the bar graphs as the skater oscillates back and forth. What is happening to the energies present? Explain how you know that energy is still being conserved.

f. Run the simulation as in part “e” until the skater comes to a stop. What form did the skater’s initial energy end up as?

Use the above graphs to answer the questions below. a. Estimate roughly where was he located at the times listed below:

• zero seconds? ___________________

• 6.8 seconds? __________________

• 8.1 seconds? _________________

• 5.3 seconds? _________________

b. If his maximum height is 4 m (measured from the bottom of the track), what is his height at the times below

• zero seconds? ___________________

• 6.8 seconds? __________________

• 8.1 seconds? _________________

• 5.3 seconds? __________________

Examine the kinetic energy curve on the graph above. Given that his mass was 75kg calculate his speed at the times below using Ek = ½mv2 .

Speed at zero seconds: show any work below v0 = ______________ m/s

Speed at 6.8 seconds: show any work below v0 = ______________ m/s

Speed at 8.1 seconds: show any work below v0 = ______________ m/s

Speed at 5.3 seconds: show any work below v0 = ______________ m/s

Choose the Friction tab (bottom of screen) and select the half-pipe track. Now select on Grid. This will provide a scale for you to measure heights in meters. You may assume that the mass of the default skater is 75kg. Run the simulation and sketch the Energy vs time graphs below. You know the shapes of these from above, you simply need to determine the transition times (period of motion). Use a stopwatch to get a rough idea. Be sure to include a legend to represent your different energy curves.

6. The Very Long Baseline Array radio interferometer (VLBA) has a longest baseline of 8000 km and can operate at frequencies as high as 44 GHz. The Keck interferometer has a baseline of 100 m and operates at a near-infrared wavelength of 2 micron. (a) Which instrument has the highest angular resolution (smallest diffraction angle)? (b) For the VLBA, what is the smallest distance two radio transmitters could be on the Moon that could still be discerned? Use a lunar distance of 384,000 km.

If you look at the US production of crude oil, you can see that the data trend for peak oil occurring around 1970. Since then it has declined with a plateau here and there. However around 2010, US oil production has increased quite a bit. What do you think is the cause for increase in oil production at the time?

A cannon tilted up at a 35.0 ∘ angle fires a cannon ball at 82.0 m/s from atop a 13.0 m -high fortress wall. What is the ball's impact speed on the ground below? Express your answer with the appropriate units.

1. One goal of EHRs is to facilitate providers

Planet X has a moon that has a very elliptical orbit. Its furthest point from the planet X is 4 × 10^8 m and its closest point is 3 × 10^8 m. If its speed at the furthest point is 700 m/s, what is its speed at its closest point?

The mass of planet X is 2.68 X 10^24 kg and the radius of planet X is 4079 km. (please show work and drawing)

Question 1 a. An engineer designing an electron microscope wants to ensure that the final instrument can resolve features separated by 10-9 m and therefore decides that the de Broglie wavelength of the electrons should be 50 times shorter, i.e. 2 x 10-11 m. NOTE: in answering this question, ignore relativistic effects and assume that classical mechanics applies.

i. What would be the speed of the electrons? [1 mark]

ii. What voltage must be used for accelerating the electrons to achieve this objective? [2 marks]

iii. Estimate the probability that these electrons can tunnel through a barrier of thickness 10-9 m, if the barrier is 5 eV higher than the electron’s kinetic energy? You may use the approximate expression for barrier tunnelling T ! e−2bL [4 marks]

iv. If there is a 10% uncertainty in the speed of the electrons, what is the minimum uncertainty in their position? [3 marks]

b. i. Why are the energy levels of a confined electron quantised (e.g. in an infinite potential well), while a free electron can take a continuous range of energies? [2 marks]

ii. An electron is confined to an infinite potential well of width 0.25 nm. What is the lowest energy (ground state) for the confined electron? [2 marks]

iii. Calculate the energy of the first and second states of the electron in the infinite potential well (i.e. n = 2,3,4) [2 marks]

iv. Calculate the wavelength of the photon emitted when an electron in the first excited state drops to the ground state. [1 mark]

v. Qualitatively describe the difference in the energy levels of the infinite potential well we have been investigating, and a finite potential well of depth 50 eV. Your answer should include a sketch of the probability density for an electron in the ground state for both the infinite and finite potential well.