A beam of light shines on an equilateral glass prism at an angle of 45∘ to one face (figure (a) below). 1) What is the angle at which the light emerges from the opposite face given that nglass = 1.57? (Express your answer to three significant figures.)

2) Now consider what happens when dispersion is involved (figure (b)). Assume the incident ray of light spans the spectrum of visible light between 400 nm and 700 nm (violet to red, respectively). The index of refraction for violet light in the glass prism is 1.572, and it is 1.568 for red light in the glass prism. Find the distance along the right face of the prism between the points where the red light and violet light emerge back into air. Assume the prism is 10.0 cm on a side and the incident ray hits the midpoint of the left face. (Express your answer to two significant figures.)

a)Does the vibrational frequency of an O-H bond depend on whether it is horizontal or vertical at the surface of the Earth? Suppose that a harmonic oscillator of mass m is held vertically, so that it experiences a perturbation V(x)=mgx, where g is the acceleration of free fall. Calculate the first order correction to the energy of the ground state.

b) Repeat the previous exercise to find the change in excitation energy from v=1 to v=2 in the presence of the perturbation.

The police arrive at the crime scene at 9:00 AM. They immediately measure that the body temperature of the deceased is 83 F. After they finish gathering evidence, a process which took exactly one hour, they measure the body again and the temperature is 81,F. The room temperature is 68 F. When was the murder committed? (Assume his body temperature normally was 98, as opposed to 98.6.)

A chimney (length 30 m, mass 962 kg] cracks at the base and topples.  Assume:

- the chimney behaves like a thin rod, and does not break apart as it falls.

- only gravity (no friction) acts on the chimney as it falls.

- the bottom of the chimney pivots, but does not move.

Find the linear speed of the center of mass of the chimney, in m/s, just as it hits the ground

A parallel-plate capacitor with plate area 3.3cm2 and air-gap separation 0.45mm is connected to a 12 V battery, and fully charged. The battery is then disconnected.

What is the charge on the capacitor? Q1=78pC

The plates are now pulled to a separation of 0.55 mm. What is the charge on the capacitor now? Q2=78pC

What is the potential difference across the plates now? V2=15V

How much work was required to pull the plates to their new separation? Express your answer using two significant figures. W=_________J

I got 1.1682*10^-10J and it was wrong. Thanks for the help!

In the Group Work, once we have calculated (and experimentally determined) our fundamental frequency for our string, how do we find the higher resonant frequencies, or harmonics?

1. A water slide is constructed so that swimmers, starting from rest at the top of the slide, leave the end of the slide traveling horizontally. As the drawing shows, one person hits the water 5.00 m from the end of the slide in a time of 1.500 s after leaving the slide. Ignoring friction and air resistance, find the height H in the drawing. The answer is 11.6 m (please explain)

2. An extreme skier, starting from rest, coasts down a mountain slope that makes an angle of 25.0° with the horizontal. The coefficient of kinetic friction between her skis and the snow is 0.200. She coasts down a distance of 12.6 m before coming to the edge of a cliff. Without slowing down, she skis off the cliff and lands downhill at a point whose vertical distance is 4.30 mbelow the edge. How fast is she going just before she lands? The answer is 12 m/s. Please explain!

Compare the weight of a mountain climber when she is at the bottom of a mountain with her weight when she is at the top of the mountain. In which case is her weight larger? A)She weighs twice as much at the top B)Weighs more at the bottom C)Weighs four times as much at the top D)Both are the same E)She weighs more at the top

Please answer part d).

A string is tied between two posts sticking out of the wall. The posts are separated by 1.20 m. A 5.00-cm-long snippet of the string weighs 1.50 grams. You attach a machine to one of the posts, so that the post can vibrate up and down at a frequency set on the machine. (You can still consider the string attached to this post as a node - the machine does not create a high amplitude right at the post.)

a) You slowly turn up the frequency of the machine, and at 41.7 Hz you see the standing-wave pattern corresponding to the fundamental frequency of the system. What is the tension in the string? Express the answer in newtons (N). ANSWER: T = 300 N

b) You continue to increase the frequency of the machine, and at a higher frequency you observe that nodes form every 10 cm, and the antinodes have an oscillation amplitude of 5.2 mm. What is the frequency of this oscillation? Express the answer in hertz (Hz). ANSWER: f = 500 Hz

c) Another standing wave pattern appears when the machine is set to 167 Hz. The amplitude of the string's oscillation at the antinodes is 5.2 mm. How many antinodes n does the pattern have? ANSWER: n = 4.00

d) You keep the conditions set as they are in part C. What is the amplitude of the string's oscillation 40 cm from the post that the machine is oscillating? Express the answer in millimetres (mm).

this q has been posted before and all answers correct with exception to d

A photon of wavelength 4.18 pm scatters at an angle of 112∘ from an initially stationary, unbound electron. What is the de Broglie wavelength of the electron after the photon has been scattered?

2.1)

What is the speed of an electron that accelerates from rest starting close to the negative plate of a capacitor just before it hits the positive plate? The electric field between the plates is 300 V/m and the distance between the plates is 0.050 m.

2.2)

A charge of +2.00 nC is on the Y axis at the point (0, 2.00) m. A charge of -3.00 nC is on the X axis at the point (3.00, 0) m. Find the direction of the electric field at the Origin.

2.3)

The electric field at a point A has the components E_x = 3.00 V/m   and E_y = +2.50 V/m. Find the direction of the force acting on a charge -14.0 nC placed at the point A. Express your answer as an angle measured counterclockwise from the positive X axis.

2.4)

A charge of 3.00 nC is on the Y axis at the point (0, 2.00) m. A charge of -2.00 nC is on the X axis at the point (-3.00, 0) m. Find the magnitude of the electric field at the Origin.

Using S ≈ N k, estimate the entropy of the sun.

A box with mass 1.60 kg is being pulled across a rough surface at a constant speed with a coefficient of kinetic friction µ_k = 0.310. The pulling force has a magnitude of 12.1 N and is directed at an angle 39.7 degrees above horizontal. If the box is dragged a distance of 11.2 m, what is the total energy lost to friction? (Hint: be sure to account for the upward component of the pulling force, and note that the energy lost to friction is being compensated for by the work added by the pulling force)

Two point charges totaling 6.30 μC exert a repulsive force of 0.170 N on one another when separated by 0.490 m. What is the charge on each? Assume that the two charges are positive. Enter the smaller charge in the first box.

Q1 =

Q2 =

What is the charge on each if the force is attractive? Enter the smaller charge in the first box.

Q1 =

Q2 =