A 25kg block is placed 2.7m above the ground on a frictionless ramp. At the bottom of a ramp there is an ideal spring.

A. If the block is let go, how fast will the block be moving at the bottom of the ramp?

B. The block runs into the spring and compresses the spring a total of .35m before coming to a stop. What is the spring constant of the spring?

The block then slides back up the ramp. How high (above the ground) does the block get before coming to a stop?

Why doesn't great mass automatically equal great inertia?

A bungee cord is 30.0 m long and, when stretched a distance x, it exerts a restoring force of magnitude kx. Your father-in-law (mass 93.0 kg ) stands on a platform 45.0 m above the ground, and one end of the cord is tied securely to his ankle and the other end to the platform. You have promised him that when he steps off the platform he will fall a maximum distance of only 41.0 m before the cord stops him. You had several bungee cords to select from, and you tested them by stretching them out, tying one end to a tree, and pulling on the other end with a force of 420 N .

When you do this, what distance will the bungee cord that you should select have stretched?

Two of the three electrons in a lithium atom have quantum numbers of n = 1, l = 0, ml = 0, ms = +1/2 and n = 1, l = 0, ml = 0, ms = -1/2. What quantum numbers can the third electron have if the atom is in (a) its ground state and (b) its first excited state?

A hydrogen atom is in the ground state. It absorbs energy and makes a transition to the n = 5 excited state. The atom returns to the ground state by emitting two photons, one in dropping to n = 4 state, and one in further dropping to the ground state. What are the photon wavelengths of (a) the first and (b) the second transitions?

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