Using a minimum of 250 words, discuss Kepler's laws of planetary motion. How do these laws apply when precisely placing sattelites into orbit? Explain how these calculations are made using sample equations.

Please answer all aspects of question for a thumbs up! Simply copying and pasting Kepler's laws of motion will not suffice!

An electron is in the ground state of an infinite square well. The energy of the ground state is E₁ = 1.35 eV.

(a) What wavelength of electromagnetic radiation would be needed to excite the electron to the n = 4 state?
nm

(b) What is the width of the square well?
nm

We assumed that the spring is ideal. In reality, as you stretch and compress the spring, frictional forces of the spring come into play. Explain how the frictional forces of the spring would or could affect your measurements.

-A roller coaster cart of mass (m1=127 kg) initially sits at rest on a track. Once the motor is activated, the cart is accelerated forward (across level ground) until it reaches the bottom of a giant circular loop with a radius of (r1=17.5 m). At this point, the motor is turned off and the cart must "coast" for the remainder of the ride. Assume the track is frictionless and ignore air resistance. At the top of the loop, what is the minimum speed the cart must have in order to stay in its circular motion around the loop? (Give your answer to 3 sig figs.)

-Letting the base of the loop represent h=0, how much GPE does the cart have at the top? (Give your answer to 3 sig figs. and in units of J)  

-What is the total mechanical energy of the cart at the top of the loop? (Give your answer to 3 sig figs. and in units of J)

-What speed does the cart have at the base of the loop? (Give your answer to 3 sig figs.)

-What work must be done by the motor to accelerate the cart from rest to its final velocity at the base of the loop? (Give your answer to 3 sig figs. and in units of J. Indicate whether the work is positive or negative with the sign of your answer.)

-When the cart is at the 9 o'clock position of the loop (it has a height above the base of the loop of exactly one loop radius), what is the speed of the cart? (Give your answer to 3 sig figs.)

-When the cart is at the 9 o'clock position of the loop, what is the magnitude of the force of the track exerted on the cart? (Give your answer to 3 sig figs. and in units of N)

-When the cart is at the 9 o'clock position of the loop, what is the magnitude of the torque applied by the force of the track? Let the center of the loop be the axis of rotation. (Give your answer to 3 sig figs. and in units of N*m [which is the SI unit for torque])

-When the cart is at the 9 o'clock position of the loop, what is the magnitude of the net torque exerted on the cart? Let the center of the loop be the axis of rotation. (Give your answer to 3 sig figs. and in units of N*m [which is the SI unit for torque])

-A smug little kitten pounces about on the top of a skyscraper. In his excessive confidence, he slips and tumbles over the edge. Don't worry...he manages to cling to a pipe that extends out horizontally from the top of the building and is safe...for now. (Use g=9.80 m/s^2 for the acceleration of gravity for the entire problem.) If kitten has a mass of (m1=2.9 kg) and hangs at rest from the pipe, with what magnitude of force must he cling to the pipe to prevent from falling?

-A child looks out his window and sees the cat hanging from the pipe above, so she decides to act. The child opens the window and flings a lasso at the cat, successfully ensnaring his tail with the rope. If the cat's tail is located (x=1.59 m) from the wall (in the horizontal direction) and (y=3.67 m) from the window (in the vertical direction), what angle does the rope make with the wall? (Give your answer to 3 sig figs. and give the angle in units of degrees [deg]

-Seeing that she has snagged the cat by the tail, she attempts to pull the cat free from the pipe by pulling the rope with a constant force of (F1=26.8 N). What is the magnitude of the upward force that kitten must apply to the pipe to keep from falling? (Give your answer to 3 sig figs.)

-What is the magnitude of the horizontal force that kitten must apply to the pipe to keep from falling? (Give your answer to 3 sig figs.)

-Finally, the rope snaps, disorienting kitten. This causes him to lose his grip, plummeting to the ground below (don't worry...I won't let him die). At this very moment, a group of physics students who have been analzing the situation from directly below, band together to construct a large, pillowy pile of trash bags from a nearby dumpster for the cat to land on. Assuming kitten falls from rest, how fast is he going when he arrives at the cozy trash bag landing pad (h=80.7 m) below? (Give your answer to 3 sig figs.)

Two Earth satellites, A and B, each of mass m, are to be launched into circular orbits about Earth's center. Satellite A is to orbit at an altitude of 6660 km. Satellite B is to orbit at an altitude of 23200 km. The radius of Earth R_Eis 6370 km. (a) What is the ratio of the potential energy of satellite B to that of satellite A, in orbit? (b) What is the ratio of the kinetic energy of satellite B to that of satellite A, in orbit? (c)Which satellite (answer A or B) has the greater total energy if each has a mass of 17.0 kg? (d) By how much?

Answers to 3 significant digits and please show unit of measurement

A 3.0 g latex balloon is filled with 2.8 g of helium. When filled, the balloon is a 32-cm-diameter sphere. When released, the balloon accelerates upward until it reaches a terminal speed. What is this speed? Assume an air density of 1.2 kg/m3 and a drag coefficient for sphere of 0.47.

The Venus-Sun distance is 108 million kilometers, and the Earth-Sun distance is 150 million kilometers. Suppose an imaginary line from Venus to the Sun forms a right angle with an imaginary line from Earth to the Sun. How long would it take light to travel from the Sun to a spaceship halfway along the straight-line path between Venus and Earth? The time is in minutes.

A 60.0 kg person running at an initial speed of 4.50 m/s jumps onto a 120 kg cart that is initially at rest. The person slides on the cart's top surface and finally comes to rest relative to the cart. The coefficient of kinetic friction between the person and the cart is 0.320. Friction between the cart and the ground can be neglected.

a.Find the final speed of the person and cart relative to the ground.

b.For how long does the frictional force act on the person?

c.Determine the magnitude of the displacement of the person relative to the ground while he is slipping on the cart.

d. Determine the magnitude of the displacement of the cart relative to the ground while the person is slipping on the cart.

1) what is a diffraction grating

2) why do we use "discharge tube" to perform the experiment instead of a light bulb

3)If "d " is the grating constant (spacing in between two slits on a grating), hoe can we obtain the ruling (number of grooves per meter) "D"?

4) Define " order of diffraction" and illustrate it using a drawing

Discuss the motion of a cannonball shot at an angle in the sky. Is there an optimal angle that would increase the range of the cannonball shot?

In a nuclear reactor, in the fission process, neutrons are emitted at high energies. Neutrons are to be thermalized, i.e., their kinetic energies have to be significantly reduced, so that you can increase the probability for the new fission processes. You have a choice of a number of materials such as, say, heavy, water, iron and lead. The neutrons experience elastic collisions with the atoms of these materials and lose their energies. Assuming the target atoms are at rest initially, out of the three materials given about which one would you prefer for the efficient thermalization of neutrons? Give reasons and explanation

To transfer a fix amount of electrical energy while keeping Ohmic heating low, it is good to increase voltage？

In an old-fashioned amusement park ride, passengers stand inside a 5.0-m-diameter hollow steel cylinder with their backs against the wall. The cylinder begins to rotate about a vertical axis. Then the floor on which the passengers are standing suddenly drops away! If all goes well, the passengers will "stick" to the wall and not slide. Clothing has a static coefficient of friction against steel in the range 0.62 to 1.0 and a kinetic coefficient in the range 0.40 to 0.70. A sign next to the entrance says "No children under 30 kg allowed."

Q: What is the minimum angular speed, in rpm, for which the ride is safe?