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?

A particle of mass m is constrained to a circle of radius r₀: that is, the potential for the particle is 0 when the

particle is anywhere on that circle and infinite everywhere else,

?(?) = 0 (r=r₀)

V(r) = ∞ (? ≠ ?₀)

Find the eigenvalues and normalized eigenfunctions of the Hamiltonian for a particle on a ring.

What is the degeneracy of eigenvalues for this system. how many eigenfunctions are

there for each eigenvalue)?

Elastic Collision lab. I'm trying to calculate velocity, momentum, and kinetic energy in an elastic collision. The data I have is this. I tried using these numbers to calculate velocity and momentum but the results show momentum is not conserved as it should be. Is that just error from measurements or am I missing something?

If we recreated the scene from Fast & Furious 7 and dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away?

A 3000 kg minivan moving east at velocity 45 km/h collides with a 1000 kg car moving north at
velocity 55 km/h. The two cars lock together, find their velocity in km/h just after the accident.

The conservation of charge in an electric circuit is closely related to which of the following?

Group of answer choices

Ohm's law

Kirchhoff's junction rule

Kirchhoff's loop rule

Newton's laws

Ampère's law

The galaxy that contains our solar system, the milky way, is approximately a uniform disc of mass 10^12Msun and diameter 175×10^3 light years. Assuming that the center of mass of the galaxy is at rest, estimate the time that it takes the sun to complete one orbit around the galaxy center. A few useful numbers: the mass of the sun Msun = 2 × 10^30kg, 1 light year = 9.46 × 10^15m, and the distance between the sun and the galaxy center d = 26.4 × 10^3 light years.

Use the viral relation PE = -2 KE, and estimate the period using, t=2pir/v

If the mass of the ice in the test tube is
m_ice=15g
mass of warm water used (g) = 70g
Initial temperature of water (in degrees C ) =70C
Equilibrium temperature of ice-water system (in degrees C) =44C
Calculate the calories of energy required to melt one gram of ice.