Wrap up question 1: You hold a “Top” piece of charged tape near an uncharged soda can. Describe the behavior of the tape. Would the behavior be different if you used a “Bottom” piece of tape instead? Explain.

Wrap up question 2: Suppose there exists a third type of charge in addition to the two types we associate with glass and plastic. Call this third type X charge. What experiment(s) could you use to test whether an object has X charge? State clearly how the outcome(s) of the experiment(s) would be interpreted.

Wrap up question 3: A positively charged electroscope has separated leaves. Describe what will happen if you bring a negatively charged rod near, but not touching, the top of the electroscope.

A 7.25-kg bowling ball moving at 8.65 m/s collides with a 0.75-kg bowling pin, which is scattered at an angle of θ = 85.5° from the initial direction of the bowling ball, with a speed of 14 m/s. calculate the direction, in degrees of the final velocity of the bowling ball. B) Calculate the magnitude of the final velocity in meters per second of the bowling ball.

Place 4 charges at the corners of a square which is 2 meters by 2 meters (4 large squares along each length). Place two +1 nC charges at adjacent corners and two -1 nC charges at the other two corners.

Determine the direction of the electric field at the following three points:
Point E halfway between two like charges. (-120 degrees, 50 V/m)
Point F halfway between two opposite charges. (-90.5 degrees, 309 V/m)
Point G at the center of the square. (90 degrees, 210 V/m)

1. For the points E, F and G, draw a diagram showing both charges and the two individual field vectors (one for each charge) and explain why their vector sum points in the direction that you.

2. Determine the electric potential at the points E, F and G. List them numerically and give an explanation for their value  

If the mass of the charge is very small (mass = 2.9×10^-25kg) so that its weight (weight in Newtons = mass in kg × 9.8 m/s2) is negligible compared to the electric force, what is the magnitude of its acceleration? Recall Newton's 2nd Law.

the magnitude of the electric force is 27.68×10^−17?

Write your result in terms of 10^9 m/s2. For example, if the result is 1.234 ×10^9 m/s2, just enter 1.234 (keep 3 decimal places).

You stand 17.5 m from a wall holding a tennis ball. You throw the tennis ball at the wall at an angle of 38.5 ∘ from the ground with an initial speed of 21.5 m / s. At what height above its initial position does the tennis ball hit the wall? Ignore any effects of air resistance.  

4/ You are operating a fan with the characteristics shown in the figure below. The 25 kW fan currently operates continuously at full speed with the flow reduced to 90% of its rated capacity using downstream dampers. An evaluation reveals that there is inadequate fresh air being introduced into the building during the day, and too much is supplied at night. The flow rate needs to increase to 100% from 7am to 7pm, and can be reduced to 50% at night. What would be the CHANGE in energy costn per year if this change was done using either downstream dampers, or using a 97% efficient VSD ?

• ηmot = 0.96 at the nominal speed

• ηmot = 0.94 at 90% of the nominal speed

• ηmot = 0.89 at 50% of the nominal speed

• Electricity costs $0.15/kWh, no impact on demand charges

A diverging lens (f = -20cm) is placed 10cm to the left of a plane mirror. A match stick is placed 25cm to the left of the lens. (I) Where is the final image of the stick? (II) Is the image real or virtual? Upright or inverted? (III) What is the magnification? (IV) Where is the final image relative to the mirror?

A 0.046-nm x-ray is incident on a stationary electron. A scattered photon is observed at 94°.

Find the energy of the scattered photon E'_γ= ______ keV and its wavelength λ'= _________ nm

Find the kinetic energy of recoiled electron

K= _______keV

Find the speed of recoiled electron as a fraction of speed of light: v/c= ________

Explain the importance of having understanding of the physics or chemistry
of failure mechanisms when one is doing accelerated life testing.

1. What is the difference between Q and q? Under what assumptions is investment solely a function of q? what is the difference between the capita Q and small q in investment function

(2) Please show that a discontinuity arises in the first derivative of the wave function of the infinite potential well (0 to L).

Using plane waves, find the Fresnel and Snell formulas. (Reflection and refraction). Show that in a vacuum plane waves propagate orthogonally to each other, and are transverse to the direction of propagation

Introduce hydraulic loss   into the Bernoulli equation to account for the energy lost by the water flowing through the small horizontal pipe. Derive the expression for the hydraulic loss by considering two points at the inlet and outlet of the small horizontal pipe.