(8%) Problem 3: A 0.275-kg aluminum bowl holding 0.65 kg of soup at 25.0°C is placed in a freezer.What is the final temperature, in degrees Celsius, if 377 kJ of energy is transferred from the bowl and soup, assuming the soup’s thermal properties are the same as that of water? Specifically, you can assume the latent heat of fusion for the soup is 334 kJ/kg.

A hollow, plastic sphere is held below the surface of a freshwater lake by a cord anchored to the bottom of the lake. The sphere has a volume of 0.650 m3 and the tension in the cord is 830 N.

A) Calculate the buoyant force exerted by the water on the sphere.

B) What is the mass of the sphere?

C) The cord breaks and the sphere rises to the surface. When the sphere comes to rest, what fraction of its volume will be submerged?

Write a step by step description of the process used to derive Gauss' Law from Coulomb's Law; a proof.

what is the Drake equation? (write the equation and explain its factors) Research the current values of the Drake equation factors and then calculate the number of communicative civilizations based on your research. Do you believe these numbers? If not, why not? Give evidence and cite data sources.

Avagadro's number of carbon atoms have a mass of 12.0 g. Two identical graphite spheres each have a mass of m = 4.21 g. If we could transfer one electron from each atom in the first sphere to an atom in the second sphere, what would be the magnitude of the attractive force between the spheres if they are separated by 1.00 m?

A 200 g block attached to a spring with spring constant 2.1 N/m oscillates horizontally on a frictionless table. Its velocity is 20 cm/s when x0 = -4.6 cm .

A. What is the amplitude of oscillation?

B. What is the block's maximum acceleration?

C. What is the block's position when the acceleration is maximum?

D. What is the speed of the block when x1 = 3.2 cm ?

A monatomic ideal gas expands from 2.00 m³ to 2.95 m³ at a constant pressure of 2.80 ✕ 10⁵ Pa. Find the following.

(a) Find the work done on the gas. J

(b) Find the thermal energy Q transferred into the gas by heat.
J

(c) Find the change in the internal energy of the gas.
J

Imagine shooting various colors of light at different kinds of metals. Depending on the work function of each metal, the light will or will not have enough energy to knock of an electron. (a) Which of the following metals will NOT emit electrons when visible light (with wavelengths of 380 nmto 700 nm) shines on them? (b) If visible light can cause the metal to emit electrons, specific if electrons will be emitted when red (685 nm) light is used, green (532 nm) light is used and blue (473 nm) light is used. W0 is the work function for each metal. Cesium(W0= 2.1 eV) Rubidium(W0 = 2.3 eV)

Describe two current strategies for solving the problem of intermittency for non-dispatchable renewables.

In a diagnostic x-ray procedure, 4.85×10¹⁰ photons are absorbed by tissue with a mass of 0.575 kg . The x-ray wavelength is 2.00×10⁻² nm .

A) What is the total energy absorbed by the tissue?

B) What is the equivalent dose in rem?

Styrofoam has a density of 32kg/m^3. What is the maximum mass that can hang without sinking from a 70-cm diameter Styrofoam sphere in water? Assume the volume of the mass is negligible compared to that of the sphere. Express your answer to two significant figures and include the appropriate units.

A laser beam with vacuum wavelength 582 nm is incident from air onto a block of Lucite as shown in the figure below. The line of sight of the photograph is perpendicular to the plane in which the light moves. Take θ1 to be 60°. Recall that the index of refraction of air is 1 and Lucite is 1.50. (a) Find the speed of the light in Lucite.. m/s (b) Find the frequency of the light in Lucite.. Hz (c) Find the wavelength of the light in Lucite. nm

Two identical conducting spheres, fixed in place, attract each other with an electrostatic force of -0.2532 N when separated by 50 cm, center-to-center. The spheres are then connected by a thin conducting wire. When the wire is removed, the spheres repel each other with an electrostatic force of 0.2525 N. What were the initial charges on the spheres? Since one is negative and you cannot tell which is positive or negative, there are two solutions. Take the absolute value of the charges and enter the smaller value here. Enter the larger value here.