A space station shaped like a giant wheel has a radius of 1.00 x 102 m and a moment of inertia of 5.00 x 108 kgm2. A crew of 150 lives on the rim, and the station is rotating so that the crew experiences an apparent acceleration of 1.0g. When 120 people move to the center of the station for a union meeting, the angular speed changes. What apparent acceleration is experienced by the mangers remaining at the rim? Assume the average mass of a crew member is 65.0 kg.

Please show ALL work

A ball of mass 0.576 kg moving east (+x+x direction) with a speed of 3.78 m/sm/s collides head-on with a 0.288 kg ball at rest. Assume that the collision is perfectly elastic

What is be the speed of the 0.576-kg ball after the collision?

What is be the direction of the velocity of the 0.576-kg ball after the collision?

What is the speed of the 0.288-kg ball after the collision?

What is the direction of the velocity of 0.288-kg ball after the collision?

30 grams of ice at -5 Celsius melt while being left at room temperature of 28 Celsius. After melting its temperature rises to 28 Celsius. Determine the total change of entropy of the environment.

[Cice = .5 cal/g.C, Lf = 79.6 cal/gram] 1 calorie = 4.184 J

Let the light ways moving from a material to another material. There are 2 scenarios:

- The ray is moving from water to glass. The intensity of the refracted rays is 98.92 % and the intensity of the reflected rays is 1.08%.

- The ray is moving from air to glass. The intensity of the refracted rays is 90.87% and the intensity of the reflected rays is 9.13%.

The index of diffraction of air, water, and glass are 1.00, 1.33, and 1.50 respectively.

Explain these differences in the intensity between 2 scenarios.

A boater dumps 2.00 kg of ice from a cooler into the lake at the end of a fishing trip. The ice is at a temperature of -8.00 oC and the lake water is at 15.0 oC. What is the change in entropy of the lake-ice cube system after the ice comes into equilibrium with the lake? Hint: the lake is very large.

1. A 131 lb woman is holding a 22 lb baby in her arms. If you assume the entire load is situated at the elbow joint, determine the internal and external forces and moments considering only the upper arm segment.
   • Relevant information:
   • 1 kg = 2.2 lbs, 1 inch = 0.0254 m
   • Length of the upper arm = 13.4 inches
   • Angle of the upper arm to the horizontal (floor) = 36 degrees
   • Force from the weight of the lower arm and hand segment = 13.42 N
   • Distance between the anterior deltoid tendon and shoulder joint = 3.6 cm

The naturally occurring isotope K⁴⁰ is widely spread in the environment. In fact, the average concentration of potassium in the crustal rocks is 27 g/kg and in the oceans is 380 mg/liter. K⁴⁰ occurs in plants and animals, has a half-life of 1.3 billion years and a natural abundance of 0.0119 percent.

Potassium's concentration in humans is 1.7 g/kg. In urine, potassium's concentration is 1.5 g/liter.

(You can skip i. I just need to know how to do ii, iii, iv. please) Thank you!

i) Calculate the specific activity of K⁴⁰ in Becquerels per gram of K⁴⁰.

ii) Calculate the specific activity of K⁴⁰ in Becquerels per gram of K.

iii) Calculate the specific activity of K⁴⁰ in urine in Bq/Liter

iv.) A beta activity above 200 transformations (disintegrations) per minute per liter of urine following exposure to fission products is indicative of an internal deposition. How does this "body burden" criterion compare to the activity caused by the one due to the naturally occurring potassium?

Can general relativity be completely described as a field in a flat space? Can it be done already now or requires advances in quantum gravity?

A 0.060-kg tennis ball, moving with a speed of 5.32 m/s, has a head-on collision with a 0.090-kg ball initially moving in the same direction at a speed of 3.36 m/s. Assume that the collision is perfectly elastic.

Determine the speed of the 0.060-kg ball after the collision.

Determine the direction of the velocity of the 0.060-kg ball after the collision

Determine the speed of the 0.090-kg ball after the collision.

Determine the direction of the velocity of the 0.090-kg ball after the collision.

what are the equations that can be used to calculate the rocket launching

1. For light moving from left to right through a lens, describe the paths of the three principal rays used to locate the image formed by the lens. Using the three principal rays, draw two ray diagrams for object sitting in front of (a) concave lens (b）convex lens. Please indicate the focus points clearly on your ray diagrams.
2. Describe the difference between the shapes of converging and diverging lens , as well as the difference between the images formed by converging and diverging lens.
3. What is the lens equation? What are the sign converntions for the distances f, 0, and i in it?

As preparation for this problem, review Conceptual Example 9. From the top of a cliff overlooking a lake, a person throws two stones, as shown in the drawing. The cliff is 35.0 m high. The two stones described have identical initial speeds of v₀ = 17.6 m/s and are thrown at an angle θ = 31.3 °, one below the horizontal and one above the horizontal. What is the distance between the points where the stones strike the water? Neglect air resistance.

Prove
(a) that ψ ± = N (x ± iy)f(r) is an eigenfunction of L^2 and Lz and set the eigenvalues corresponding.
(b) Construct a wave function ψ_0(r) that is an eigenfunction of L^2 whose eigenvalue is the same as that of a), but whose eigenvalue Lz differs by a unit of the one found in a).
(c) Find an eigenfunction of L^2 and Lx, analogous to those of parts a) and b), which have the same eigenvalue L^2 but whose eigenvalue Lx is maximum
(d) If the wave function for a particle is that of part c), what are the probabilities of finding it in each of the states described by the wave functions ψ0, ψ + and ψ− of a) and b)?

thank you so much

A small spherical insulator of mass 5.49 × 10-2 kg and charge +0.600 μC is hung by a thin wire of negligible mass. A charge of -0.900 μC is held 0.150 m away from the sphere and directly to the right of it, so the wire makes an angle with the vertical (see the drawing). Find (a) the angle and (b) the tension in the wire.