1-Derive the capacitance in 3 capacitors, C1, C2, and C3 in series.

2-Derive the capacitence in 3 capacitors C1, C2, C3 in parallel.

5. In a two-slit experiment, the slit separation is 3.00x 10^-5 m. The interference pattern is created on a screen that is 2.00 m away from the slits. If the 7^th bright fringe on the screen is 10.0 cm away, from the central fringe, what is the wavelength of light?

6. A single slit, which is 0.0500 mm wide, is illuminated by light of 550 nm wavelength. What is the angular separation between the first two minima on either side of the central maximum?

Only two forces act on an object (mass=4.27 kg), as in the drawing. Find (a) the magnitude and (b) the direction (relative to the x axis) of the acceleration of the object. x= 40 N y= 60N with an angle of 45 degrees

You’re flying your 10,000-kg Scooty Puff Pro spaceship at a constant speed of 20 km/s in the positive x-direction. All of the sudden it malfunctions and many of the thrusters are stuck on. The main thruster is stuck on producing a 800 kN force in the positive x-direction. Two of the small maneuvering thrusters are also stuck on, one producing a 100 kN force in a direction 30° from the positive y-direction towards the negative x-direction, and the other is producing a 150 kN force in a direction 10° from the negative y-direction towards the negative x-direction. After 2 minutes of this the two maneuvering thrusters shut off and the main thruster decreases in magnitude to 200 kN, while still applying the force in the positive x-direction. It takes an additional 6 minutes to fix the problem and turn all of them off. How far and in what direction would you have to travel to get to where you would have been if the malfunction had not occurred.

Make a statement relating the Refraction of Light, the Index of Refraction, Rays of Light, the Velocity of Light in a Medium, and a Simple Lens. Please be somewhat detailed. Thank you.

A plastic sphere floats in water with 45.0% of its volume submerged. This same sphere floats in glycerin with 35.8% of its volume submerged.

(a) Determine the density of the glycerin.
kg/m³

(b) Determine the density of the sphere.
kg/m³

An object is placed in front of a diverging lens with a focal length of 17.1 cm. For each object distance, find the image distance and the magnification. Describe each image.

(a) 34.2 cm

location cm magnification

(b) 17.1 cm

location cm magnification

(c) 8.55 cm

location cm magnification

A house has 140m^2 of wall area with a thickness of 30cm, and glass area of 8m^2 with a thickness of 0.5cm. Given thermal conductivity of wall =0.69 W/mK and thermal conductivity of glass = 0.78 W/mK. If these are the only mechanisms for heat loss from the house, estimate the rate of heat loss when the inside temperature is 20 degrees C and the outside temperature is -10 degrees C.

PART B: If the house is heated with an oil burner with 80% efficiency how many gallons of oil will be required each day to heat the house?(Assuming 140,000 BTU/gallon)

Explain briefly what excimer lasers are and the reason why they are used in photorefractive keratectomy, in which the front of the cornea is sculpted to correct nearsightedness.

-Why is the argon ion laser not a good choice for this operation?

-Why is the reverse true for laser surgical procedures performed on the retina?

A pair of narrow slits is positioned 1.90 m from a screen and illuminated with light made up of two wavelengths 556.00 nm and 507.60 nm.

First a filter is used to block the 507.60 nm light from reaching the screen.  The resulting interference maxima are found to be separated by s = 1.60 mm.

a) What is in meters the separation of the slits?
We now remove that filter and place a filter that blocks the 556.00 nm light.

b) What is in mm the obtained fringe separation?

We remove both filters.

c) What is in meters the separation on the screen of first bright maxima due to both wavelengths?

d) What is in meters the separation on the screen of fourth bright maxima due to both wavelengths?

1. Alice is moving wit 0.8c towards a mirror. She sends a light pulse towards the mirror when she is at a distance L from the mirror. Bob is at rest with respect to the mirror and is observing this experiment. After how long will Alice receive the reflected pulse, as measured by Alice and Bob?

A 21500 kg jet airplane is flying through some high winds. At some point in time, the airplane is pointing due north, while the wind is blowing from the north and east. If the force on the plane from the jet engines is 35500 N due north, and the force from the wind is 14700 N in a direction 75.0° south of west, what will be the magnitude and direction of the plane's acceleration at that moment? Enter the direction of the acceleration as an angle measured from due west (positive for clockwise, negative for counterclockwise).

Where did the atoms that make up a newborn baby originate?