A bullet is fired horizontally at a stationary 7.0 kg target. The target sits on a frictionless horizontal

surface and is connected to a spring on the backside of the target. The spring has a spring constant

of 5000 N/m. The 11.0 g bullet is traveling horizontally at 675 m/s the moment before it strikes

the target. After 1 ms, the bullet is embedded into the target and begins to oscillate. Ignore air

resistance.

(a) Determine the speed of the block immediately after the collision.

(b) Find the period and amplitude of the resulting simple harmonic motion.

(c) On separate graphs, plot the position vs. time, velocity vs. time, and acceleration vs. time for the system starting when the bullet is fully embedded into the target. Be sure to clearly label

your axes and the scale of each graph.

(d) On a single graph, plot the potential energy, kinetic energy, and total mechanical energy as a function of time for the system starting when the bullet is fully embedded into the target. Be sure to clearly label your axes and the scale of your graph.

3. (a) What is “photon bunching”? Draw a simple diagram.

(b) Explain which histories interfere and why assuming that the photons are indistinguishable.

(c) What is the final conclusion? What do the photons do?

9) A flywheel initially rotating at 1200 rpm stops in 4.00 min when only friction acts. If an additional torque of 300 N-m is applied, it stops in 1.00 min. (a) What is the rotational inertia of the wheel? (b) What is the frictional torque?

(b) The plane is parallel to the xy-plane. 

 (c) The plane contains the y-axis, and its normal makes an angle of 30.0° with the x-axis.

1. (a) Explain the “one-time pad” method for sending secret messages. In particular, explain the nature and the role of the secret key.

(b) Why is it impossible for anyone without the secret key to read the encrypted message?

During high-intensity exercise such as sprinting or lifting a very heavy weight, energy is provided to cells by the phosphogen system (or ATP-PC system), which only works for a few seconds. If the diffusion constant of ATP is 3 ×10⁻¹⁰ m² s^-1, how far could this molecule diffuse in 5 seconds? (not 5.477E-5 m)

Driven RC circuit in parallel. A capacitor C is connected in parallel to a resistor R and an AC source providing a voltage v(t) = V sin(ωt).

(a) Make a phasor diagram at time t showing all relevant based on Kirchhoff’s rules.

(b) Find the impedance of this circuit and make a plot of Z vs. ω.

(c) What are the small and large frequency behaviors of the peak capacitor and resistor currents?

(d) What is the phase difference between the total current and the input voltage? (e) (5pts.) Write an expression for i(t), the total current thought the circuit, if V = 120 V, C = 47 µF, R = 230 Ω, and f = 440 Hz

consider a spacecraft in an elliptical orbit around the earth. At the low point, or perigee, of its orbit, it is 300 km above the earth's surface; at the high point or apogee, it is 2500 km above the earth's surface.

Part A: find ratio of the spacecraft's speed at perigee to its speed at apogee?

(V_perigee / V_{apogee) = .....}

Part B: find the speed at the apogee?

V apogee = ........ m/s

Part C: find speed at perigee?

V perigee = ..... m/s

(I only have 1 try left in mastering please help me thanks)

A 63 kg man weighs himself at the north pole and at the equator. Assume the Earth is a perfectly spherical.

1.a Which scale reading is higher? at the North Pole or at the equator

1b. By how much?Express your answer with the appropriate units.

Having trouble with these:

1. One of the important struggles of pioneering astronomers was trying to understand how big our galaxy is, and where the Sun is located in our galaxy. Explain how RR Lyrae stars and globular clusters were used by Harlow Shapley to answer both these questions.

2. Radio astronomy has been critical for determining the structure of our galaxy. Why is it more effective for this purpose than visible light astronomy?

3. Charlie and Monica are arguing about spiral arms. Charlie believes that spirals arms are regions where active star formation takes place, and are like “traffic jams” where the gas and dust is dense. Monica believes that the spiral arms of a galaxy are like a rigid spinning pinwheel, and the gravitational attraction of the stars to one another keeps them in rigid shape, like sparkles glued to a pinwheel. Whose explanation is more accurate, and why?

Captain Jack Sparrow is steering the Black Pearl during battle, and he needs to turn the ship around quickly. The helm (steering wheel) of the Pearl has handles that extend to a radius of 50 cm. Sparrow starts spinning the helm from rest, accelerating it at a constant 5 degrees/s2 . What is the tangential velocity of the handles in m/s when the radial acceleration of the helm is equal to the tangential acceleration of its handles?

Answer: 0.15 m/s

In a Young's double-slit experiment the wavelength of light used is 469 nm (in vacuum), and the separation between the slits is 2.1 × 10^-6 m. Determine the angle that locates (a) the dark fringe for which m = 0, (b) the bright fringe for which m = 1, (c) the dark fringe for which m = 1, and (d) the bright fringe for which m = 2.

a) Is the optical axis of a birefringent crystal simply a line or an address in space?
Does it have direction and sense like an arrow?
b) Explain what the crystals are: trigonal, tetragonal, hexagonal, triclinic, monoclinic and orthorhombic.
c) Explain in detail what is fluorescence and phosphorescence.

Question 1. Explain, on the atomic level, the physical mechanism underlying two of the three forms of magnetic materials described in the text, paramagnetic, diamagnetic, and Ferromagnetic. 2. Aluminum is paramagnetic. Why won't a typical refrigerator magnet stick to an aluminum can? 3. Describe how bar magnets produce a force on each other