An electron is moving in the field of a helium nucleus (Q = +2e).

1,) What is the change in the electrons potential energy when it moves from a circular orbit of radius 3

Choose one of the following topics and write at least two substantial paragraphs that briefly explain both the topic itself and how the topic relates to our study of light.

The Double-slit experiment
The Photoelectric Effect
Emission spectra of gases composed of a single element

Refraction
Set up the ray box so the light is it directed at the prism at an angle of 50 degrees
Find the value of the prism index of refraction using Snell's law
Find the angle between the ray entering the prism and the ray leaving the prism
Draw a labelled diagram showing your experiment and explain the principle of refraction

A small metal ball with a mass of m = 97.6 g is attached to a string of length l = 1.43 m. It is held at an angle of θ = 42.1° with respect to the vertical. The ball is then released. When the rope is vertical, the ball collides head-on and perfectly elastically with an identical ball originally at rest. This second ball flies off with a horizontal initial velocity from a height of h = 3.26 m, and then later it hits the ground.

At what distance x will the ball land?

A container is filled to the brim with 1.5 L of mercury at 20

Consider a thin spherical shell located between r = 0.49a₀ and 0.51a₀. For the n = 2, l = 1 state of hydrogen, find the probability for the electron to be found in a small volume element that subtends a polar angle of 0.11° and an azimuthal angle of 0.25° if the center of the volume element is located at: θ=50°, ϕ=20°.

A spacecraft arrives at Mars’ sphere of influence with a heliocentric velocity of 22 km/s and a heliocentric fight-path angle of 10 deg. When the spacecraft reaches the periapsis of its Mars-centric arrival trajectory, at an altitude of 200 km, it performs a ∆V to circularize its trajectory. What is the required ∆V ?

Given: LST 81.1 deg W, 29.2 deg N, Ω = 150◦,i = 30◦. Find: Time in hours until the next launch window opens and launch azimuth β.

520/5000

State the hypotheses of the causes of why: of each of the following alternatives.

A) automobile (without gasoline and without brake) slows down and stops;
b) a book that slides on the table slows down and stops;
c) a falling chalk increases its speed until it hits the ground;
d) a ball rolling down a slope increases its speed until it reaches the lowest part;
e) The Moon moves around Earth and moves with approximately constant speed.

Part two:

Design an experiment where you check that the acceleration coincides with the direction of the resulting force.

An 60 kg plank, 15 m long, has supports at locations X1=4 m and X2=12 m along the plank. Two additional forces F3=20 N and F4=25 N act at the points X3=2 m and X4=10 m along the plank, making angles of 30 degrees and 60 degrees with respect to the vertical.

a) from x-equilibrium, determine the value of F4,

b) from rotational equilibrium, determine the support forces N1 and N2 acting at the location of the two supports, taking into account the mass of the plank itself,

c) show that your answers are correct by demonstrating that they satisfy equilibrium in y-.(i.e., that the sum of the forces in the y-direction are zero, since the plank is stationary).

(a) What is the escape speed on a spherical asteroid whose radius is 376 km and whose gravitational acceleration at the surface is 0.683 m/s²? (b) How far from the surface will a particle go if it leaves the asteroid's surface with a radial speed of 445 m/s? (c) With what speed will an object hit the asteroid if it is dropped from 592.7 km above the surface?

A parallel-plate capacitor is constructed of two horizontal 17.2-cm-diameter circular plates. A 1.1 g plastic bead with a charge of -8.0 nC is suspended between the two plates by the force of the electric field between them. What is the charge on the positive plate?

n the Group Work, we examine standing waves on a string. In order to calculate the velocity of the wave, what two properties do we need to know?

show the velocity and direction while proving that s(x,t) = Aexp[-(4x+6t)^2] is a wave equation