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.

x
An eagle is flying horizontally at 5.3 m/s with a fish in its claws. It accidentally drops the fish. (a) How much time passes before the fish's speed doubles? (b) How much additional time would be required for the speed to double again?

A vertical axis rotational apparatus shown is the apparatus we used in Laboratory. The apparatus has low friction, low mass rotating bracket that holds a disk. The disk has a diameter of 25.4 cm and a mass of 4.33 kg. The hub around which the string is wrapped is 4.76 cm in diameter. The apparatus is accelerated by a string wrapped around a circular hub at the center of the base of the apparatus. The string passes horizontally over a low friction low mass pulley to a hanging mass which fall toward the floor when released. When the hanging mass is released from rest the disk spins through 4.0 rotations before hitting the floor The time from release to when the mass strikes the floor is 6.2 seconds. What is the angular acceleration of the apparatus using radian measure? Assume constant acceleration. Include units. Use the following format for writing powers positive s^2 or negative s^(-2).

Thermal Storage Solar heating of a house is much more efficient if there is a way to store the thermal energy collected during the day to warm the house at night. Suppose one solar-heated home utilizes a concrete slab of area 14 m2 and 21 cm thick.

A) If the density of concrete is 2400 kg/m3, what is the mass of the slab?

Express your answer to two significant figures and include appropriate units.

b)

The slab is exposed to sunlight and absorbs energy at a rate of 1.7 ×107J/h for 10 h. If it begins the day at 25 ∘C and has a specific heat of 750 J/(kg⋅K), what is its temperature at sunset?

c) Model the concrete slab as being surrounded on both sides (contact area 28 m2) with a 1.7-m-thick layer of air in contact with a surface that is 5.0 ∘C cooler than the concrete. At sunset, what is the rate at which the concrete loses thermal energy by conduction through the air layer?

D) Model the concrete slab as having a surface area of 24 m2 and surrounded by an environment 5.0 ∘C cooler than the concrete. If its emissivity is 0.93, what is the rate at which the concrete loses thermal energy by radiation at sunset?

1: A) Starting with two slits, separated by a distance "d," derive the key relation(s) associated with locating interference patterns.

B) Explain the effect on interference patterns if the number of slits is increased (but "d" remains the same).

C) Outline an experiment you can perform to determine the wavelength of a laser pointer (max intensity of 5mWatt) using "basic" lab equipment.

A ball is thrown into a bathtub full of water. The ball has a mass of 0.5 kg and a diameter of 0.22 m. The density of water is 1000 kg/m3 . [Useful info: volume of sphere ?= 4??^3 , where ? is the sphere radius]

Please ensure part e) is completed

(a) Calculate the weight of the ball.

(b) Calculate the buoyant force on the ball if it were completely immersed in water.

(c) Determine whether or not the ball can float on water. Explain your reasoning.

(d) If the ball floats on water, what fraction of the ball’s volume is below the water surface?

(e) What is the maximum diameter a ball with ?? = 0.5 kg can have so that is does not float on water but sinks to the ground?

Consider a two-dimensional hexagonal lattice:

(a) Draw the free electron Fermi surface in the reduced zone scheme when the lattice points are occupied by atoms with: i. One valence electron/atom. ii. Two valence electrons/atom.

The following two waves are sent in opposite directions on a horizontal string so as to create a standing wave in a vertical plane: y1(x, t) = (7.60 mm) sin(4.80πx - 520πt) y2(x, t) = (7.60 mm) sin(4.80πx + 520πt), with x in meters and t in seconds. An antinode is located at point A. In the time interval that point takes to move from maximum upward displacement to maximum downward displacement, how far does each wave move along the string?