Quantum Mechanics Answers

n a jump spike, Mark Angel slams the volleyball from a height of 2.3 m with a speed of 18 m/s at 24° below the horizontal. How far on the opposite side will the ball land?

Imagine that you are on a space walk outside a vessel coasting

through interstellar space. You have launched a reference probe that is

perfectly stationary relative to the ship, equipped with precision laser

velocity-measuring devices. A meteoroid approaches at 4.0 m/s, strikes

the ship, and bounces off in exactly the opposite direction at 2.0 m/s.

you grab the meteoroid, take it into the ship, put it into an inertial mass

meter, and find out that it masses 1.0 kg. The ship’s mass is 20,000 kg

without you on board. You know that the impact has caused the space

ship to start moving relative to the probe in the same direction the

meteoroid was originally travelling. What will the probe indicate as the

magnitude of the ship’s post-collision velocity vector?

Suppose two lumps of clay approach each other from opposite

directions in deep space. Lump number 1 masses 4.00 kg and travels at

5.00 m/s. Lump number 2 masses 10.0 kg. When the lumps collide, no

material flies off. The lumps stick together , and the resulting object is

stationary relative to you, the observer. How fast was lump number 2

moving before the collision relative to you, the observer?

List all the forces that act on you while you are standing on the ground. Diagram/sketches the forces.

Calculate the permitted energies of an electron confined in a box 1Å wide?

Imagine that you are on a space walk outside a vessel coasting

through interstellar space. You have launched a reference probe that is

perfectly stationary relative to the ship, equipped with precision laser

velocity-measuring devices. A meteoroid approaches at 4.0 m/s, strikes

the ship, and bounces off in exactly the opposite direction at 2.0 m/s.

you grab the meteoroid, take it into the ship, put it into an inertial mass

meter, and find out that it masses 1.0 kg. The ship’s mass is 20,000 kg

without you on board. You know that the impact has caused the space

ship to start moving relative to the probe in the same direction the

meteoroid was originally travelling. What will the probe indicate as thmagnitude of the ship’s post-collision velocity vector?

Imagine that you are on interplanetary vessel coasting through a space to a rendezvous with Neptune. You discover that an immediate course correction is necessary. Otherwise the ship will not fall into orbit around Neptune, but will fly off into interstellar space! Your onboard computers indicate that the ship must gain 100.0m/s of forward speed to get back on course. Suppose the mass of the craft is exactly 2.0 x 10^4 kg. The rocket produce a constant force of 2.500 x 10^4 N.

A. When the rockets are fired, how fast will the ship accelerate?

B. How long will it take for the forward velocity of the ship to increase by the required 100.0m/s?

C. What will be the impulse that produces this course correction?

Consider a system with three particles and write the ground-state wave function for the following states:

Boson particles - Spin 0

Boson particles - Spin 1

Fermion particles - Spin 1/2

Let us consider a particle in a box problem. However, the bottom region of the box is slanted (linearly). Hence, the extra term in the Hamiltonian is of the form V0x/a, where V0 is a constant, a is the length of the box and x denotes the axis. As a trial function, use a linear combination of the first and 3rd eigenfunctions of the particle in box. Use the variational method to solve this problem by setting the secular determinant. The boundaries are at 0 and a.

Consider the hydrogen atom in a magnetic field of strength 10 tesla. Calculate the energies (in Joule) of the possible 2p to 1s transitions. Value of β is 9.274*10^-24 J/T