Consider a “system with two lenses in tandem”. Suppose that you have an object that is located P1to the left of a lens with F1 focal length. Then suppose that you have a second lens with F2 focal length, and you place this lens D downstream of the first lens. Let us say that the final image of the optical system forms Q2 past the second lens. The two lenses are one after another, or in tandem.

(a) Draw a picture of the optical system. Draw the picture to scale.

(b) Calculate the image distance (from first lens to the intermediate image) of the intermediate image, as measured from the first lens. Q1 in terms of P1, F1, and nothing else.

(c)Calculate the object distance (from intermediate image to the second lens) for the second lens. P2 in terms of D, P1, F1, and nothing else

(d) Calculate the final image distance (from second lens to the final image) for the second lens (Q2) , and show that this expression for Q2 satisfies the relation:

Q2 =F2(DP1-F1D-F1P1)/[(F1-P1)(F2-D)-F1P1] Equation 1

(e) Show also that the overall magnification of the system is M=(Q1Q2)/(P1P2)=F(F2-Q2)/[F2(F1-P1)] Equation 2

A 10.0 g object moving to the right at 15.0 cm/s makes an elastic head-on collision with a 15.0 g object moving in the opposite direction at 33.0 cm/s. Find the velocity of each object after the collision.

10.0g object _________

15.0g object _________

what is the significance of enthalpy ? Why have we proposed thermodynamic potentials like enthalpy?

1. If you compress a spring of spring constant 223 N/m by 1.29 cm, what is the elastic potential energy of the spring?

2. You have a piano of mass 1,946 kg, which is suspended 14 m above the ground. If we decide that the zero of our height coordinates is at the ground, what is the gravitational potential energy of the piano?

3. You have a kinetic friction force of 42.5 acting on a box that is moving across a rough table. If the box slows to a stop in 19.6 cm, how much work is done by friction?

4. Find the scalar product of A⇀⋅B⇀

where A⇀=10.2iˆ+ 9.8jˆ and B⇀= 4.7iˆ+9.3jˆ

The following are the load and gage lengths from a stainless steel. The diameter of the bar is 0.506 inch. Plot engineering stress versus engineering strain for the data shown. Find the 0.2% offset yield strength for this steel.

If the current in the solenoid is ramped at a constant rate from zero to I_s= 2.30 A over a time interval of 72.0 ms, what is the magnitude of the emf in the outer coil while the current in the solenoid is changing?

What is the mutual inductance between the solenoid and the short coil?

Now reverse the situation. If the current in the short coil is ramped up steadily from zero to I_c= 3.10 A over a time interval of 30.0 ms, what is the magnitude of the emf in the solenoid while the current in the coil is changing?

A magician wants to do the trick in which he pulls a tablecloth from a table, leaving the items on the table behind, unmoved. It turns out that this isn't magic at all, but simple physics. Let's assume that the tablecloth has to be slide horizontally a distance of 50 cm before it has slipped out from underneath a dish that lays on top of it. If the tablecloth's mass is 10 grams and the dish has a mass of 8 grams, and the coefficient of friction between the dish and the tablecloth is 0.412, determine the horizontal force with which the magician must pull the tablecloth if he wants the dish to only move an imperceptibly small 1 mm during while the tablecloth is being removed? Assume the the coefficient of friction between the tablecloth and the table is 0.5.

At an Ice Cream Store, a single scoop of ice-cream can be modeled by a hemisphere which is 1 inch tall. The ice-cream fits perfectly on top of a cone that is 4 inches tall and has a 1 inch radius at the top.

1. Write one equation in Cartesian coordinates (x, y, z) to describe the scoop and one equation for the cone.

2. If the mass of one scoop of ice cream is 60 grams and that the mass density of ice-cream is constant, find the mass density of the ice-cream.

3. Find the center of mass of the scoop of ice-cream

4. Compute the total surface area of the ice-cream scoop and the cone

A batter hits a fly ball which leaves the bat 0.96 mabove the ground at an angle of 62 ∘ with an initial speed of 29 m/s heading toward centerfield. Ignore air resistance.

A)

How far from home plate would the ball land if not caught?

B)

The ball is caught by the centerfielder who, starting at a distance of 110 m from home plate, runs straight toward home plate at a constant speed and makes the catch at ground level. Find his speed.

Please explain steep by step if possible. thank you.

Spiral arms result from density waves in a disk galaxy. Star formation occurs in these arms. As the material in a galaxy interacts with a spiral density wave, clouds compress and dust lanes form. Then, the dense gas clouds ignite with star formation. What is the evidence in this image that supports the claim that the stars are moving faster than the density waves?

A. Bright stars can be found on the leading edges of the arms.

B. Bright stars are only found on the trailing edges of the arms.

C. Dust clouds form on the leading edges of the arms.

D. Ionization nebulae form on the trailing edges of the arms.

A B C D 14. A steel ball is dropped from a diving platform (with an initial velocity of zero). Using the approximate value of g = 10 m/s^2, what is its velocity 2.4 seconds after its release? a) 10, b) 2.4, c) 24, d) 4.2

A B C D 15. A large rock is dropped from the top of a high cliff. Assuming that air resistance can be ignored and that the acceleration has the constant value of 10 m/s^2. how fast would the rock be traveling 8 seconds after it is dropped in m/s? a) 40, b) 1.25, c) 18, d) 2.

A B C D 16. A ball is dropped from a high building. Using the approximate value of g = 10 m/s^2. find the change in velocity between the first and

fourth second of its flight in m/s. a) 30, b) 3.33, c) 13, d) 40

A B C D 17. A ball is thrown upward with an initial velocity of 12 m/s. Using the approximate value of g = 10 m/s^2, how high above the ground is the ball 2 seconds after it is thrown in meters? a) 12, b) 24, c) 6, d) 4.

A B C D 18. Suppose that the gravitational acceleration on a certain planet is only 3.0 m/s^2. A space explorer standing on this planet throws a ball straight upward with an initial velocity of 18 m/s. How much time in seconds elapses before the ball reaches the high point in its flight? a) 3, b) 6, c) 18, d) 54.

A B C D 19. A ball rolls off a shelf with a horizontal velocity of 5 m/s. At what horizontal distance in meters from the shelf does the ball land if it takes 0.4 s to reach the floor? a) 5.4, b) 2, c) 4.6, d) 1.25.

A skier with a mass of 75kg starts from rest at the top of a slope which is 110m tall and skis to the bottom. Hint: you must use conservation of energy to solve both parts of this problem. a. What is the skier’s speed at the bottom of the slope if there is no friction? b. If the speed of the skier at the bottom of the slope is actually 20m/s, how much work is done by friction?

Please I need a clear explanation and clear handwriting with explanaing this for me because I am realy confused and need help. Thanks in advance

My lab was about  Magnets and Magnetic fields. This is the question I need to answer for!

R3: Explain how a speaker works by explaining why each part is required. after that Summarize R3’s answer by explaining why the proffesor homemade earbud is so much superior to the one that you made.

How can I get density of state, Fermi energy, and total energy in 1,2 dimension when we have N electrons without interaction.