An insulated container contains 15.0 g of steam at 100C. A mass of 65.0 g of ice at 0.00C is dropped into the container (assume no energy is absorbed by the container).

C = Celsius

a). How much heat is released by the steam when it condenses at 100C? (Qs)

b). How much heat is absorbed by the ice when it melts at 0.00C? (Qi)

c). What is the final temperature of the the water in the container? (T)

Consider the following wavefunctions. For each wavefunction, Normalize it. Find the probability that the particle described by these wavefunctions exists in the region 0

Phi(x) = Ae^(-x^2/3)

Phi(x) = A/(x^2+2)

Muons are unstable subatomic particles with a mean lifetime of 2.2 μs that decay to electrons. They are produced when cosmic rays bombard the upper atmosphere about 10 km above the earth’s surface, and they travel very close to the speed of light. The problem we want to address is why we see any of them at the earth’s surface.What is the greatest distance a muon could travel during its 2.2 μs lifetime?According to your answer in part A, it would seem that muons could never make it to the ground. But the 2.2 μs lifetime is measured in the frame of the muon, and they are moving very fast. At a speed of 0.999c, what is the mean lifetime of a muon as measured by an observer at rest on the earth?

a) An asteroid revolves around the Sun with a mean orbital radius 2.5 times that of Earth’s. Predict the period of the asteroid in Earth years.

(Show all work, including formulas and units for full credit.)

b) Saturn requires 29 years to circle the Sun. Find Saturn’s average distance from the Sun as a multiple of Earth’s average distance from the Sun.

(Show all work, including formulas and units for full credit.)

c) The Moon has a period of 27.3 days and a mean distance of 3.9×10⁵ km from its center to the center of Earth.

i) Use Kepler’s laws to find the period of a (hypothetical) satellite in orbit 8.20×10³ km from the center of Earth.

ii) How far above Earth’s surface is this satellite (Hint: Look up the Earth's diameter online, convert it to the radius, and also to kilometers. Keep in mind that the satellite rotates from the center of the Earth, and the question asks for the height above the surface of the Earth)?

A 15.0 kg object moving in the +x direction at 5.5 m/s collides head-on with a 11.5 kg object moving in the −x direction at 4.0 m/s .

Part A-

Find the final velocity of each mass if the objects stick together.

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Part B-

Find the final velocity of each mass if the collision is elastic.

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Part C-

Find the final velocity of each mass if the 15.0 kg object is at rest after the collision.

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Part D-

Is the result in part C "reasonable"? Explain

Part E-

Find the final velocity of each mass if the 11.5 kg object is at rest after the collision.

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Part F-

Is the result in part E "reasonable"? Explain.

Part G-

Find the final velocity of each mass if the 15.0 kg object has a velocity of 4.0 m/s in the −x direction after the collision.

Express your answers using two significant figures. Enter your answers numerically separated by a comma.

Part H-

Is the result in part G "reasonable"? Explain

A solid, homogeneous sphere with a mass of m0, a radius of r0 and a density of ρ0 is placed in a container of water. Initially the sphere floats and the water level is marked on the side of the container. What happens to the water level, when the original sphere is replaced with a new sphere which has different physical parameters? Notation: r means the water level rises in the container, f means falls, s means stays the same. Combination answers like 'f or s' are possible answers in some of the cases.

The new sphere has a mass of m < m0 and a radius of r = r0.

The new sphere has a density of ρ > ρ0 and a radius of r = r0.

The new sphere has a mass of m = m0 and a density of ρ > ρ0.

6.6

(a) Estimate the terminal speed of a wooden sphere (density 0.870 g/cm³) falling through air, if its radius is 7.00 cm and its drag coefficient is 0.500. (The density of air is 1.20 kg/m³.)
m/s

(b) From what height would a freely falling object reach this speed in the absence of air resistance?
m

A disk with m=4.4 kg and radius 14.1 cm rolls a distance 4.3 m down a ramp that is inclined by an angle 26.9° with respect to the horizontal. At the bottom of the ramp, what is its translational kinetic energy?

Physics Lab: Speed of Sound

Please answer what you can!

Physics Pre Lab 13: Speed of Sound

1) Why is it important to measure the temperature of the room when performing the experiment?

2) What is a standing wave? Explain in words as well as in an equation.

3) The fundamental node occurs when the water level has dropped to what percentage of a wavelength?

4) Explain why in fluids only longitudinal waves can propagate through them.

5) If you have a tuning fork with frequency 304 Hz, and you calculate the wavelength to be 53.2 cm, what is the speed of sound? Use MKS units.

A major league pitcher stands on the pitching mound 60ft 6in from home plate throws a fastball at 105 mph. Assume both the batter and pitcher are the same height (6ft 6in) and the ball is released 55 inches above the ground when thrown horizontal.

1. How far will a 340 gram baseball travel before hitting the ground?
2. How high is the ball above the ground when it passes over home plate?
3. How long does it take to reach home plate?

Now let’s look at what happens when the ball is hit, using the setup from the last problem. When hit the ball’s speed is an average of 30% faster and leaves the bat at a 5 degree angle.

4. How high is the ball when it passes the pitching mound?
5. How far will the ball travel?

A block of mass m₁ = 1.33 kg and a block of mass m₂ = 10.4 kg are connected by a massless string over a pulley in the shape of a solid disk having radius R = 0.250 m and mass M = 3 kg. The fixed, wedge-shaped ramp makes an angle of θ = 30.0° as shown in the figure. The coefficient of kinetic friction is 0.44 for both blocks. Determine the acceleration of the blocks.

A cylindrical rod 25.0 cm long with a mass of 1.20 kg and a radius of 1.50 cm has a ball of diameter of 7.90 cm and a mass of 2.00 kg attached to one end. The arrangement is originally vertical and stationary, with the ball at the top. The apparatus is free to pivot about the bottom end of the rod.

(a) After it falls through 90°, what is its rotational kinetic energy?
J
(b) What is the angular speed of the rod and ball?
rad/s
(c) What is the linear speed of the ball?
m/s
(d) How does this compare with the speed if the ball had fallen freely through the same distance of 29.0 cm?
v_swing is  ---Select--- greater than less than v_fall by  %

what care must the person administering the treatment take