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.

A +2.00 nC point charge and -3.00 nC point charge are placed along the x-axis at  x = 1.0 m and x = 2.0 m, respectively. Where must a third charge, q, be placed along the x-axis so that it does not experience any net electric force due to the other two charges

Consider a sample of ideal gas (0.50 moles) confined in a piston assembly that has diathermal walls (i.e. the walls allow heat exchange). The assembly is in contact with a thermal reservoir that holds the temperature constant at 300.K.

a) Suppose the ideal gas undergoes reversible isothermal compression from 25.0 L to 10.0 L. Calculate ΔS, ΔSsurrounding, and ΔStotal, where total = universe.

b) Suppose the ideal gas had instead been compressed isothermally by an external constant pressure from 25.0 L to 10.0 L. First determine the value of the minimum constant pressure for this process (in Pascals). Then, calculate ΔS, ΔSsurrounding, and ΔStotal.

Provide a diagram for each situation. A 45kg woman is riding on an elevator. What are her net force, force of gravity, and normal force for her when:

1) The elevator is stationary on the 20th floor of a building

2) The elevator has a downward acceleration with a magnitude of 1.5 meters per second squared.

3) The elevator has a constant downward velocity of 3 meters per second.

4) The elevator accelerates upward with a magnitude of 1.5 meters per second squared to stop at the 5th floor

5) The elevator cable suddenly breaks and the elevator undergoes free fall/

what do nuclear technology and physics share in common? (please answer in depth)

3. A cubical Gaussian surface encloses a net charge. Each edge of the cube has length 4.0 m. The cube is drawn such that four of its six faces are parallel to the z direction. The net electric field is such that the electric field lines skim each of these four faces. On the top face, the electric field ?⃗⃗ ? = +25?̂ N/C and on the other face ?⃗⃗ ? = −40?̂ N/C. Sketch the cubical Gaussian surface, indicating the z direction, ?⃗⃗ ? and ?⃗⃗

a. Determine the net charge the Gaussian surface encloses. b) Would any of your calculations be affected if you used a spherical Gaussian surface instead of a cubical one? Justify your answer.

A stretched string fixed at each end has a mass of 43.0 g and a length of 7.20 m. The tension in the string is 47.0 N. (a) Determine the positions of the nodes and antinodes for the third harmonic. (Answer from smallest to largest distance from one end of the string.)

nodes

______m

______m

______m

______m

antinodes

______m

______m

______m

(b) What is the vibration frequency for this harmonic? Hz

1. Boltzmann statistics predict the probability that atoms or particles will be at the level of
The energy E (s) is equal to P (s) where
P (s) = e ^ −E (s) ⁄kT / Z
Where Z is the Partition function and Z = ∑ e ^ −E (s) ⁄kT

1.1 One hypothetical particle has 3 energy levels, -0.05 eV, 0 eV and 0.05 eV. Write a graph between Z and kT and
Describe the graph (Recommended: Use programs like Mathematica)
1.2 If the particle is in balance with the environment (Reservoir) at 300 K, find the probability that the particle will be at the energy level
all three
1.3 If the particle is in balance with the environment (Reservoir) at 1000 K, find the probability that the particle will be at the energy level
All three compare with the result in item 1.2.

discuss the terrestrial /gas giant distinctions based on their rotation speeds,oblateness and magnetic fields?

In your garden, you have a hose with a radius of 3 cm connected to a sprinkler with twelve openings, each of which has a radius of 0.2 cm. The sprinkler openings are aimed 25• above the horizon, and the water travels a distance of 4 m before hitting your flowers.

a) What is the exit velocity at the sprinkler openings?

b) What is the flow rate of the sprinkler?

c) What must the water pressure in the hose be?

(a) Explain the features of the spectra of alpha, beta and gamma radiation.

(b) Why does alpha/beta spectroscopy have to be conducted in an environment different from that for gamma spectroscopy?

How does a polarizing filter work? After passing through a polarizing filter that is aligned vertically, how are the electric and magnetic fields of the EM waves aligned? If you wished to block the light completely, how would you align a second polarizing filter that was placed directly behind the first?