A 1.4-cm-tall object is located 3.0cm to the left of a converging lens with a focal length of 4.0cm . A diverging lens, of focal length -7.4cm, is 14cm to the right of the first lens.

Find the position of the final image.

s2` = -5.7 cm

Find the size of the final image.

h2` = ?

Find the orientation of the final image.

a) real, upright

b) real, inverted

c) virtual, upright

d) virtual, inverted

If you mix 10.5 gm of steam at 100 C with 1,010.0 gm of ice at 0 C what is the change in entropy? Heat of fusion = 79 cal/gm, Heat of vaporization = 540 cal/gm

answer: 6.14

diagram with explanations please

You work for the National Park Service testing a small cannon used to prevent avalanches by shooting down snow overhanging the sides of mountains. In order to determine the range of the cannon, it is necessary to know the speed with which the projectile leaves the cannon (muzzle speed), relative to the ground. The cannon you are testing has a weight of 500 lbs. and shoots a 20-lb. projectile. During lab tests where the cannon is held and cannot move, the muzzle speed is 400 m/s. You want to calculate the projectile's muzzle speed with respect to the ground under field conditions when the cannon is mounted so that it is free to move (recoil) when fired. You take the case where the cannon is fired horizontally using the same shells as in the laboratory.

A 2.00 m long uniform steel bar rests on the ground and against the wall. Both the wall and the ground are frictionless. THe steel bar makes an angle of 50 degrees with the ground. To keep the steel bar in static equilibrium, a horizontal wite attaches the steel bar at 0.500m from the bottom to the wall. The mass of the steel bar is 60kg.

a) Draw a free body diagram showing all the forces on the steel bar b) Using total force =0 write down the equations for both x and y directions. Then solve or simplify the equations as much as you can. c) Choose a point at the axis of rotation and write down all the torques (with sign) based on your choice of rotational axis. Then using total toorque=0, solve all the unknown forces on the steel bar

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 i.e r or s, f or s, and r or f or s.

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

The new sphere has a radius of r < r₀ and a mass of m > m₀.
The new sphere has a radius of r < r₀ and a density of ρ > ρ₀.

The new sphere has a mass of m < m₀ and a density of ρ >

Two balls of clay collide in a perfectly inelastic, head-on collision. Suppose m1 = 0.5 kg, m2 = 0.25 kg, v1o = +4 m/s, and v2o = -3 m/s. (a) Find the velocity of the combined clay ball after the collision. (b) Find the kinetic energy lost during the collision.

Write down the Beer-Lambert law as it applies to neutron radiography. Calculate the attenuation coefficient of hydrogen and iron for thermal neutrons and for 100 KeV X-rays (four attenuation coefficients in total). Show all steps and quote your resources. How will neutron beam attenuation differ between these two materials and between the two types of radiation?

You shoot an arrow into the air at an initial velocity of 12.5m/s at an angle of 40º.

1. Find the maximum height the arrow reaches in the air.
2. Find the time it takes to reach its maximum height.
3. Find the time it takes to hit the ground. Assume its flight in the air is symmetrical, with the first half of flight traveling upward, and the 2nd half of flight traveling downward.
4. Find how far away it hits the ground.

even though a Jovian planet is close to its star, its interior temperature is cool. explain what this tells me about the planet's mass.

On the exoplanet Trappist-1d, g = 6.74 m/s² and on Mars g = 3.73 m/s². A fully suited-up astronaut has a mass of 125. kg.

1) When she is on a ladder 1.50 m above the surface of Mars she has more potential energy, PE, than when 1.50 m above Trappist-1d's surface. True or False

2) At 1.50 m above the Mars surface, her PE in units of J is: A) 125, B) 188, C) 699, or D) 1.84 x 10³

3) If she falls off the ladder on Mars, her final speed just before landing depends on her mass. True or False

4) What is her speed just before landing on the surface of Mars? (in m/s)

5) Your above answer for the speed assumed that there was no net non-conservative work. That is, W_nc = 0. True or False

6) If net non-conservative work is done on an object, its total mechanical energy (KE + PE) changes with time and W_nc = ΔKE + ΔPE = E^tot(final) - E^tot(initial)

7) A high-tech boat (m_b = 900. kg) with a criminal villain (m_c = 100. kg) onboard is drifting with a speed of 1.30 m/s under a bridge when a 300. kg super-hero jumps straight down from the bridge. After the hero lands on the boat, what is the speed in m/s of the boat? (Assume that the system of boat, villain and super hero is isolated.)

A) -0.500, B) - 0.300, C) 0, D) + 0.300, E) +1.00, or F) +1.30

9) You are in a canoe which is initially at rest on a frictionless lake. You then move forward (positive direction) in the canoe.

As a result of your motion, the momentum of the canoe becomes negative. True or False

In a thought experiment, a cubic box of side length 0.01 mm contains three particles. One particle moves just in the x-direction, colliding elastically with the left and right walls of the cube. The second atom moves just in the y-direction, colliding elastically with the front and back walls of the cube. The third atom moves just in the z-direction, colliding elastically with the top and bottom walls of the cube. All three atoms have speed 500 m/s and mass 6.7x10-27 kg. What is the average pressure in the box?

A. 1.7 × 10-3 Pa

B. 1.7 × 10-6 Pa

C. 3.3 × 10-3 Pa

D. 5.0 × 10-6 Pa

E. 1.01 × 10-5 Pa

F. 3.10 x 10-5 Pa

1. A commuter train passes a passenger platform at a constant speed of 41.7 m/s. The train horn is sounded at its characteristic frequency of 350 Hz.

(a) What overall change in frequency is detected by a person on the platform as the train moves from approaching to receding? (Indicate whether the frequency increases of decreases with the sign of your answer.)
(b) What wavelength is detected by a person on the platform as the train approaches?

2. Two small speakers are driven by a common oscillator at 8.55 ✕ 10² Hz. The speakers face each other and are separated by d = 1.23 m.

Locate the points along a line joining the two speakers where relative minima would be expected. (Use v = 343 m/s. Choose one speaker as a reference and enter your answers as positive distances from this speaker, from smallest to largest. There are 6 boxes. Enter NONE in unused answer boxes.) Unit in m.

Why is a diffraction grating better than a two-slit setup for measuring wavelengths of light?

given an electron has orbital angular momentum and spin angular momentum, l and s respectively.

given the following relations:

[lx,ly] = ih(bar)lz , [ly,lz] = ih(bar)lx , [lz,lx] = ih(bar)ly

[sx,sy]= ih(bar) sz , [sy,sz] = ih(bar)sx , [sz, sy\ = ih(bar)sy

(a) prove first that for an arbitary operator A, B that AB=BA+[A,B]

(b) show that [lx,l^2] = 0 where l^2 = l*l = lx^2 + ly^2 + lz^2

(c) show that similarly, [ly,l^2]=0 and [lz,l^2]=0

(d)given that the total angular momentum operator, j, is defined as j=l+s show that

j^2 = jx^2 +jy^2 +jz^2 = l^2 + s^2 + 2l*s

if l*s = lxsx + lysy + lzsz

(e) show that it is also possible to find the simultaneous eigenfunction of j^2 and jz (show as much work as possible)

(f) is it then possible to determine simultanesou eigenfunction of j^2, jz and l^2? (show as much work as possible)

***Please answer ALL parts, not just a few of them***

*** most important parts that I am confused on is part e and f***

Assignment – The World’s Largest Ferris Wheels
The Singapore Flyer is a giant Ferris wheel located in Singapore. Described by its
operators as an observation wheel, it reaches 42 stories high, with a total height of 165 m,
making it the tallest Ferris wheel in the world. Situated on the southeast tip of the
Marina Centrereclaimed land, it comprises a 150 m diameter wheel, built over a three-
story terminal building which houses shops, bars and restaurants. Each of the 28 air-
conditioned capsules is capable of holding 28 passengers, and a complete rotation of the
wheel takes about 30 minutes.
The Star of Nanchang is a 160-metre tall giant Ferris wheel located in the eastern Chinese
city of Nanchang, the capital of Jiangxi Province. A single rotation takes approximately 30
minutes; the slow rotation speed allows passengers to embark and disembark without the
wheel having to stop turning.( the diameter is 153)
The 190.5 m New York Wheel is going to be constructed at Staten Island, New York
Cityalong with the Harbor Commons retail complex.A single ride will last about 38 minutes.
The construction began in May 2015, withthe gaol of opening the attraction by April 2018.(
the diameter is 183)
Your Task
1. Calculate the speed of these three Ferris wheels in metres/minute. ( 6 marks)
2. Design a Ferris wheel of your own, with a diameter somewhere between 160 m and
190.5 m. Your Ferris wheel should be faster than the slowest of those above, but
not as fast as the fastest.Use mathematics to justify that your Ferris wheel meets
these specifications.
3. Draw a scale diagram of your Ferris wheels. ( 1 mark)
4. On the same coordinate system, draw two curves modelling the height of a
passenger with respect to time for 1 of the three and your wheels. Draw at least
two cycles for each Ferris wheel. Start each cycle at the height where the
passenger gets on the wheel. (Hint: Determine the period, amplitude, and equation
of the axis for each graph.)