DATA AND RESULTS

Mass of Ball: .059 kg

1. The potential energy of the object at its highest point _2.32_Trial #1

2. The kinetic energy of the object just before impact _2.32 _

3. The velocity of the object just before impact, using kinetic energy _8.87 _

4. The “kinetic energy” of the object just after impact _33.80_ (Hint: neglect air resistance and think about the height it rebounds to)

5. The “rebound” velocity of the object _10.62_

6. The loss in energy _0 + 2.32 = 33.80 + 0 + loss_

Trial #2

1. The potential energy of the object at its highest point _2.03_

2. The kinetic energy of the object just before impact _2.03_

3. The velocity of the object just before impact, using kinetic energy _8.30 _

4. The “kinetic energy” of the object just after impact _-32.97_

5. The “rebound” velocity of the object __

6. The loss in energy __

Trial #3

1. The potential energy of the object at its highest point _1.74_

2. The kinetic energy of the object just before impact _1.74_

3. The velocity of the object just before impact, using kinetic energy _7.68 _

4. The “kinetic energy” of the object just after impact _-1.28_

5. The “rebound” velocity of the object _6.59_

6. The loss in energy __

Can someone please help me on this to double check I am doing this correctly? Thank you!

The current theory of the structure of the Earth, called plate tectonics, tells us that the continents are in constant motion. Assume that the North American continent can be represented by a slab of rock 4200 km on a side and 25 km deep and that the rock has an average mass density of 2910 kg/m3 . The continent is moving at the rate of about 1.8 cm/year.

a-What is the mass of the continent? Answer in units of kg.

b- What is the kinetic energy of the continent? Answer in units of J.

c- A jogger (of mass 70 kg) has the same kinetic energy as that of the continent. What would his speed be? Answer in units of m/s.

A hiker travels 22.5 km at 45.0 degrees in 10.0 hrs on day one, 18.0 km at 75.0 degrees in 9.50 hours on the second day, and 13.0 km at 130.0 degrees in 7.50 hrs on the third day.

a) Find the resultant displacement, in magnitude and direction form, for the hiker.

b) Calculate the average speed the hiker has for the trip (don't take into account rest time).

c) Calculate the average velocity the hiker has for the trip (don't take into account rest time).

d) If the hiker traveled on a fourth day, what displacement must they make to have a resultant displacement displacement of 50.0 km at 90.0 degrees for all four day travel?

A scientist measuring the resistivity of a new metal alloy left her ammeter in another lab, but she does have a magnetic field probe. So she creates a 7.5-m-long, 4.0-mm-diameter wire of the material, connects it to a 1.5 V battery, and measures a 5.0 mT magnetic field 1.0 mm from the surface of the wire.

1 a) How is density , specific gravity and specific weight related to each other? Write formula and specify SI units for each of these terms.

1 b) How does density, vapour pressure and viscosity change with temperature and how do you explain these changes ?

A penguin has decided to jump between two small icebergs floating in the ocean near Antarctica. You may neglect water resistance and treat the motion of the icebergs relative to the water as frictionless. At the beginning of the problem all are at rest with respect to each other. The penguin runs and jumps off the first iceberg and land on the second, where it comes to rest relative to the second iceberg. The mass of the penguin is mp. The two icebergs each have a mass of mice. The penguin jumps with a speed of vp at an angle γp.Find the final relative speed of the two icebergs.

The earth’s north pole is a magnetic south pole. The field above the pole is ~0.05mTesla. A proton from the sun with a velocity of 1,000,000 m/s enters this magnetic field.

a) Find the force on the proton if the velocity is perpendicular to the Magnetic field.

b) This is a centripetal force that makes them take circular orbits. Find the radius of the orbit.

In a city park a nonuniform wooden beam 9.00 m long is suspended horizontally by a light steel cable at each end. The cable at the left-hand end makes an angle of 30.0∘ with the vertical and has tension 630 N. The cable at the right-hand end of the beam makes an angle of 50.0∘ with the vertical.

a) As an employee of the Parks and Recreation Department, you are asked to find the weight of the beam.

b) Find the location of its center of gravity.

Consider how the intensity of light changes as it passes between two Polaroid disks at different angles to each other. (For this scenario, suppose that the polaroid closest to the light source remains fixed with the zero degree marking pointing straight up. Therefore, the second Polaroid disk is the one being rotated, and the angles for the graph should be the angle between the zero degree marking of the first disk and the position of the second disk. )

a. With intensity on the y axis, and angle in 45 degree increments on the x axis, sketch a graph of how the intensity of a light varies under various orientations of the two disks.

b. What is the mathematical relationship here? Explain how you arrived at this conclusion.

c. Based on the fact that the intensity of a light wave is proportional to the square of the electric field magnitude, explain why the transmitted intensity should have this mathematical dependence on the angle.

1. A parallel beam of 1-MeV photons is normally incident on a 1.2-cm aluminum slab (ρ = 2.70 g cm^–3 ) at a rate of 10³ s^–1 . The mass attenuation and mass energy- absorption coefficients are, respectively, 0.0620 cm² g^–1 and 0.0270 cm² g^–1.
   1. What fraction of the photons is transmitted without interacting?
   2. What fraction of the incident photon energy is transmitted by the slab?
   3. How much energy is absorbed per second by the slab?
   4. What fraction of the transmitted energy is carried by the uncollided photons?
   5. If the mass energy-transfer coefficient is 0.0271 cm² g^–1, what fraction of the initial kinetic energy transferred to the electrons in the slab is emitted as bremsstrahlung?

A hydrogen molecule (H₂) in its electronic, vibrational and rotational base state, absorbs a photon of frequency 1,356 x 10¹⁴ Hz and has a transition to a state with n = 1, l = 1, while remaining in the same electronic state. Then it has a transition to the state with n = 0 and l = 2, emitting a photon with a frequency of 1,246.x 10¹⁴ Hz

a) Calculate the moment of inertia of the molecule

b)  Determine the frequency of vibration and R_e

a) Use a diagram and short comments to contrast the general properties of Fraunhofer and Fresnel Diffraction.

b) Show how a simple positive lens made from glass with normal dispersion has chromatic aberration. Use a diagram. Does blue light focus in front or behind red light?