1.Calculate the magnitude of the electric field at one corner of a square 1.43 m on a side if the other three corners are occupied by 2.80E-6 C charges

2.Three positive particles of charges Q = 74.1 μC are located at the corners of an equilateral triangle of side L = 15.7 cm, as seen in the figure below. Calculate the magnitude of the net force on each particle.

3.An electron (mass m = 9.11E-31 kg) is accelerated in the uniform field E (E = 1.78E+4 N/C) between two parallel charged plates. The separation of the plates is 1.40 cm. The electron is accelerated from rest near the negative plate and passes through a tiny hole in the positive plate, as seen in the figure below. With what speed does it leave the hole?Show that the gravitational force can be ignored by calculating the ratio of the gravitational to the electric force. Calculate that ratio.

Calculate the final speed of an object if its initial speed is 10 m / s. The object has a mass of 5 kg. Initially it has a height of 20 meters, and it goes down to a height of 15 m. There are no dissipative forces on the object.

An electron is accelerated from rest, at a speed of 0.9995c in a particle accelerator.a) Determine, the resting energy of the electron, b) the total energy (electrons), the kinetic energy in millions of electrons or MeV.

1. This question uses the variables dis (the weighted mean of distances to five Boston employment centers) and nox(nitrogen oxides concentration in parts per 10 million) from the Boston data (library MASS). We will treat dis as the predictor and nox as the response.  

Use the ns() function to fit a natural cubic spline to predict nox using dis. Perform a 5-fold cross-validation in order to select the best degrees of freedom upto 10 degrees.

• Plot degrees of freedom and its cross validation error.
• Plot the resulting fits of the best degrees of freedom.

Please use set.seed(1) on the first line of your R code.

A copper rod is sliding on two conducting rails that make an angle of 20

A planar slab of thickness of 5.00 cm has a uniform volume charge density of 7.20×10^-2 C/ m³. Find the magnitude of the electric field at all points in space both inside and outside the slab, in terms of x, the distance measured from the central plane of the slab. What is the field for x = 1.25 cm?

What is the field for x = 10.00 cm?

a) On the surface of the earth we receive about 1.37kW of energy per meter
square coming from the Sun. Calculate the electric field associated with sunlight (in
the surface of the earth), assuming that it is essentially monochromatic with λ = 6000Ǻ.
b) On the surface of the earth we receive approximately 1370 W / m2 of energy.
Show that the radiation pressure is close to 4.6 μPa (1Pa≈10-5 N m-2).
c) A sodium lamp (λ≈5890Ǻ) of 100 W of power emits waves evenly
in all directions. What is the radiation pressure at a distance of 10 m from the
bulb?

The refractive index of a transparent material can be determined by measuring the critical angle when the solid is in air. If θ_c= 41.5° what is the index of refraction of the material?

A light ray strikes this material (from air) at an angle of 37.1° with respect to the normal of the surface. Calculate the angle of the reflected ray (in degrees).

Calculate the angle of the refracted ray (in degrees).

Assume now that the light ray exits the material. It strikes the material-air boundary at an angle of 37.1° with respect to the normal. What is the angle of the refracted ray?

Light from a strongly unpolarized light source is reflected at the Brewster angle towards a water surface. The reflected light is directed towards a polaroid filter and after the filter the irradiance is measured. When the filter's transmission axis is parallel to the E-field result vector, a maximum irradiance of 500 W / m² is measured.

a) What happens to the light in the Brewester angle? (Maximum half A4 page as explanation)

b) If the filter is turned 25 ° clockwise from the position where maximum irradiance is measured, what intensity is measured?

c) If a further polaroid filter is placed behind the first filter with the transmission axis parallel to the transmission axis of the first filter and then rotated 25 ° clockwise, what intensity is then measured? In the interrogation room where witnesses are to point out criminals, witnesses can see criminals but criminals cannot see witnesses.

d) Does this have to do with polarization? How does this work? (Maximum half A4 page as explanation)

On a clear moonless night with no artificial illumination, the intensity of starlight and airglow is 2×10^−8 times that due to full sunlight. Suppose that you go outside on such a night and set a white golf ball on a dark surface, and then stand 10 m away from it. Your eye is capable of detecting light intensities as low as 2 × 10^−16 W. Will you be able to discern the white ball without the use of any artificial light, using your naked eye?

Question 5: In the 1983 film, ”Risky Business”, the actor Tom Cruise slides across the polished hardwood floor in white tennis socks. The coefficient of kinetic friction between the socks and the floor is 0.23, and we’ll assume that Tom has a mass of 75 kg. a) (4 points) If he wants to get a running start and then slide across the floor for 2 m, how fast does he have to be at the moment he starts sliding? b) (3 points) If Tom were to lose 10 kg, would he need the same speed as in part (a) to slide for 2m? Explain your answer, and calculate the speed for this case, if it is different from part (a). c) (5 points) Tom is not satisfied with the result of his sliding, so he asks his manager to push him (instead of running). If the manager pushes him with a force of 250 N over a distance of 80 cm on the hardwood floor, how far will Tom slide after being pushed? Assume a mass of 75 kg again for this part. d) (4 points) If Tom were to lose 10 kg, would he slide the same distance as in part (c)? Explain your answer, and calculate the distance for this case, if it is different from part (c).

For college physics! Please do not take a picture of submission only type it out as it is sometimes difficult for me to read. Thanks!

In your own words, explain mechanical waves and related properties. Also give examples.

One end of a cord is fixed and a small 0.550-kg object is attached to the other end, where it swings in a section of a vertical circle of radius 3.00 m, as shown in the figure below. When θ = 17.0°, the speed of the object is 9.00 m/s. An object is swinging to the right and upward from the end of a cord attached to a horizontal surface. The cord makes an angle θ with the vertical. An arrow labeled vector v points in the direction of motion.

(a) At this instant, find the magnitude of the tension in the string. ____N

(b) At this instant, find the tangential and radial components of acceleration. at = _____m/s2 inward ac = ____m/s2 downward tangent to the circle

(c) At this instant, find the total acceleration. ___ inward and below the cord at °_____

A 200 micro Farad capacitor is charged up by connecting it in series with a 10,000 ohm resistor and a 25 V
battery. What is the maximum amount of charge that can be stored on the capacitor in mC?

Ch.8, 4

The tires of a car make 72 revolutions as the car reduces its speed uniformly from 88.0 km/h to 60.0 km/h. The tires have a diameter of 0.82 m.

Part A

What was the angular acceleration of the tires?

Part B

If the car continues to decelerate at this rate, how much more time is required for it to stop?

Part C

If the car continues to decelerate at this rate, how far does it go? Find the total distance.