The strength of the magnetic field within a solenoid is B = 3.9 x 10-2 T (outside the solenoid B = 0). A smaller, single loop is placed in the solenoid parallel to the plane of each loop in the solenoid. The resistance of the solenoid is 5.4 Ω, the resistance of the loop is 0.29 Ω, the diameter of the solenoid is 0.07 m, and the diameter of the loop is 0.04 m. An emf of 12 V is placed across the ends of the solenoid and the length of the solenoid is 0.4 m.

1) What is the total number of turns of the solenoid? N = turns

2) What is the magnitude of the magnetic flux through the loop inside the solenoid (remember, it only has one turn and the normal to the loop is parallel to the axis of the solenoid.) flux = T-m2

3) If the emf across the solenoid is varied so that the current in the solenoid now decreases to zero at a constant rate over a time interval of 7.8 seconds, what is the current through the loop during this time? (If the direction of the induced current in the loop is in the same direction as the current in the solenoid, give your answer as a positive value; if the direction of the induced current in the loop is in the opposite direction compared to the current in the solenoid, give your answer as a negative value.) I =

What physically causes energy to make subatomic particles move?

I know energy causes particles to move "kinetic energy" and the measure of kinetic energy is particles jiggling and colliding with one another giving temperature. But what physically causes "energy" to be able to move the partices? Which gives heat.

A coaxial cable has length d, inner wire radius a and outer shell radius b. You can regard its capacitance and inductance to be in series. If charge +q is placed on the inner wire with −q on the outer shell, how much time will elapse before you will find −q on the inner wire and +q on the outer shell?

2. You are an engineer trying to design a capacitor. You have a parallel-plate capacitor made of two circular metal plates. The radius of each plate is 1 m and they are separated by a distance of 0.1 mm. If the space in between the plates was filled with vacuum, the capacitor would have a capacitance of 0.278 μF but you want to make this capacitor have a capacitance of 1.0 μF. You only have paraffin (K=2.2) and glass (K=5) to work with to insert in between the two plates. (a) If you filled the space in between the capacitor plates with paraffin, how much would you have to change the separation between the plates to get the desired 1.0 μF? (b) If you had to keep the dimensions of the capacitor the same and had to fill the space in between the capacitor with material, what fraction of the space in between would you have to fill with paraffin and what fraction would you fill with glass?

2. Planet Zero has a mass of 5.0 × 10^23 kg.

a. If a stone is dropped near the surface of the planet and falls 20 m in 2.19 s, what is the radius of Planet Zero?

b. A space probe is launched vertically from the surface of Zero with an initial speed of 4.0 km/s.

C.What is the speed of the probe when it is 3.0 × 10^6 m from Zero's center?

annotate, explain the processes.

An object with mass 100 kg moved in outer space. When it was at location <11, -21, -7> its speed was 4.0 m/s. A single constant force <250, 330, -140> N acted on the object while the object moved from location <11, -21, -7> m to location <16, -14, -10> m. Then a different single constant force <100, 260, 170> N acted on the object while the object moved from location <16, -14, -10> m to location <19, -21, -5> m. What is the speed of the object at this final location?

1. A satellite which has a weight of 35000 N on the surface of the earth is moving in a circular orbit around the earth. The radius of the orbit is 2R where R approx  6,400 km is the radius of the earth.

   1. Derive and find the period of the satellite from Newton’s second law.

   2. What is the angular momentum of the satellite as it orbits the earth?

   3. If we now desire to push the satellite into a higher orbit with a period of one day, what should the new orbital radius be?

   4. What is the minimum amount of work Wmin that must be done against gravity to achieve the task in part c?

   5. Note \ 1-4= A-D please explain the physics on each parts so I can understand what is going on hw, thank you.

A pendulum of length 2.0 m is raised so that it maeks an angle of 43^o with the vertical. The mass of the pendulum bob is 1.0 kg. It is released with an initial speed of 1.0 m/s and swings downward. At the bottom of its arc, it collides with the bob of a second pendulum of length 2.0 m and mass 3.0 kg which is initially at rest. Assume the collision is elastic.

Calculare the speed with which the first pendulum bob strikes the second.

Determine the speeds of the two masses immediately after the collision.

Determine the heights that each mass will reach after the collision.

17. Draw a ray trace diagram showing the image location for a 5 cm tall object placed 8 cm away from a converging lens that has a focal length of 10 cm. Is this image real or virtual? Upright or inverted? Smaller or larger than the original object?

18. A slit of width 0.11 mm is cut in a sheet of metal and illuminated with light from a mercury vapor lamp with a wavelength of 577 nm. A screen is placed 4 meters from the slit. Find the width of the central peak in the diffraction pattern in meters on the screen, i.e. find the distance between the first minima on the left and the first minima on the right.

1. Consider the following question:

“A headlamp has one LED, takes three batteries, and has a switch that toggles between different circuit configurations. What circuit configuration will get the brightest light from the LED, and what configuration will provide the longest battery life? A different lamp has two LEDs, one battery, and a switch. Answer the same questions for this lamp.”

Attempt to answer this question and make note of what concepts are involved.

2. Using this question and the concepts you've come up with, create an experimental question and a hypothesis.

Graphical Analysis and Techniques ​

Procedure

The goal of this exercise is for you to determine the relationship and constant of proportionality between the radius and area of a circle. You may already know what this relationship is, but here you will attempt to “prove” it to yourself. You'll be provided the diameters of several circles, from which you can find the respective radii. The areas of the circles will be found by an independent method. If we then plot a graph of area vs radius for these circles, hopefully the shape of the curve generated will suggest what the relationship is a allow you to “zero in on it” just like in the above example.

We will be using some data collected from circles of varying size cut out from rigid sheets of paper. If we first determine the area of the rectangular sheets of paper and measure their mass, we can compute the density of the paper. Thus the area of the cut out circles can be determined by measuring their mass and using the same density value.

Let's define the two-dimensional (or surface) density as: D = m/A

where m is the the mass, and A is the area it covers. Since a cut out of this same paper will have the same density of the entire sheet, we can solve for the area by using the same density and measured mass. Thus we have: A = m/D.

Below is a set of data collected for two sheets of paper used to generate the circles we'll use. That is followed by the dimensions of the cut out circles.

Table 1: Measurements of Paper Sheets

Average =

Table 2: Measurements of Paper Circles

1. Complete the area and density values in Table 1. Be sure to provide one sample calculation of each here and remember to limit the digits appropriately. The area of a rectangle is length times width. Also, fill in the average density at the bottom of the table.

2. Using the average density found for Table 1, use the masses of the circles in Table 2 to determine their respective area. Please provide one sample calculation here. Also compute the radii values from the diameters in Table 2.

A ski jumper starts from rest from point A at the top of a hill that is a height h1 above point B at the bottom of the hill. The skier and skis have a combined mass of 80 kg. The skier slides down the hill and then up a ramp and is launched into the air at point C that is a height of 10m above the ground. The skier reaches point C traveling at 42m/s.

(a) Is the work done by the gravitational force on the skier as the skier slides from point A to point B positive or negative? Justify your answer.

(b) The skier leaves the ramp at point C traveling at an angle of 25° above the horizontal. Calculate the kinetic energy of the skier at the highest point in the skier's trajectory.

(c)

i. Calculate the horizontal distance from the point directly below C to where the skier lands.

ii. If the angle is increased to 35°, will the new horizontal distance traveled by the skier be greater than, less than, or equal to the answer from part (c)(i)? Justify your answer.

(d) After landing, the skier slides along horizontal ground before coming to a stop. The skier’s initial speed on the ground is the horizontal component of the skier’s velocity when the skier left the ramp. The average coefficient of friction μ is given as a function of the distance x moved by the skier by the equation μ=0.20x. Calculate the distance the skier moves between landing and coming to a stop.

Starting at time t=0, net force F₁ is applied to an object that is initially at rest. If the force remains constant with magnitude F₁ while the object moves a distance d, the final speed of the object is v₁. What is the final speed v₂ (in terms of v₁) if the net force is F₂=2F₁ and the object moves the same distance d while the force is being applied? Express your answer in terms of v₁.

A small space probe, of mass 240 kg, is launched from a spacecraft near Mars. It travels toward the surface of Mars, where it will land. At a time 20.7 s after it is launched, the probe is at the location 4.30×10-, 8.70×100, 0 m, at at this same time its momentum is 4.40×102, −7.60×10-, 0 kg⋅m/s. At this instant, the net force on the probe due to the gravitational pull of Mars plus the air resistance acting on the probe is −7×10-, −9.2×100, 0 N. Assuming that the net force on the probe is approximately constant over this time interval, what are the momentum and position of the probe 20.9 s after it is launched? Divide the time interval into two time steps, and use the approximation Vavg = Pf / m