A rocket is 120 meter directly over a person and it is traveling at 500 m/s. Assume the temperature is 20 C. a) How many seconds will it take for the person to hear the sonic boom, how far has the rocket traveled in that time, how far has the sound wave that reached the person traveled, and what is the angle of the shock wave? b) Now, assume that the rocket is accelerating at a rate of 12 m/s2 . Answer the same questions and the initial and final angle of the shock wave?

I need help with the above question. I've tried drawing an illustration for it but I keep getting the wrong answer. The answers are as follows:

a) .25455 seconds, drocket = 127.2772 m, dsound = 87.31218 m, θ = 43.3143 degrees

b) .25455 seconds, drocket = 127.66377 m, dsound = 87.31218 m, θi = 43.3143 degrees , θf = 42.987 degrees

Answer the following questions for a projectile which is fired across level ground at an initial speed of 59.7m/s .

Part A) Find the horizontal distance where the projectile lands if it is shot at 40? above the horizontal.

Part B) Find the horizontal distance where the projectile lands if it is shot at 50? above the horizontal.

A toy car with a mass of 1 kg starts from rest at the top of a ramp at point A. The toy car is released from rest, rolls 2 meters down the ramp, then another 3 meters across the floor to point B where its speed is measured to be 4.24 m/s. The air exerts a resistance force of 2.0 N on the car as it moves from A to B. Find the initial height of the car at point A. Assume g = 10 m/s^2. Note: The user has mastered the concept of the conservation of energy and is proficient in solving problems where energy is conserved but is new to solving energy problems involving work done by non-conservative forces. Explain how work is related to the total mechanical energy of a system, then use this information to set up and solve the problem above.

Please Give step by step explanation.

A glass window of index of refraction 1.3 is coated with an antireflective film of thickness 2.0 µm. Which of the following indices of refraction of the film would cause the intensity of reflected light of wavelength 800 nm from a normally-incident beam to be suppressed?

A. 1.1 B. 1.2 C. 1.4 D. 1.7 E. 1.8

1. Complete the following table for H₂O.

For the following situations, determine whether the energy of the given system is the same at the initial and final states indicated (i.e., is the energy of the system constant or not).

0pts
0pts

A block is hung from a spring that is vertical and connected to the ceiling. The block is made to oscillate vertically. Call the initial state when the block is at its highest position and the final state when the block is at its equilibrium position.
Energy of the system is constant Energy of the system is not constant  System: block
Energy of the system is constant Energy of the system is not constant  System: block + ceiling (+ spring) + Earth
Energy of the system is constant Energy of the system is not constant  System: block + Earth

A block on a table (friction between the table and the block is not negligible) is attached to a wall via a spring that is horizontal. You give the block a brief push so that the block travels horizontally. Call the initial state when the spring first reaches its maximum stretch in the initial direction of motion. The final state is when the spring first reaches its zero stretch length.
Energy of the system is constant Energy of the system is not constant  System: block + wall (+ spring) + table
Energy of the system is constant Energy of the system is not constant  System: block + wall (+ spring)
Energy of the system is constant Energy of the system is not constant  System: block + table
Energy of the system is constant Energy of the system is not constant  System: table
Energy of the system is constant Energy of the system is not constant  System: block

1pts

A block on a table (friction between the table and the block is not negligible) is attached to a wall via a spring that is horizontal. You give the block a brief push so that the block travels horizontally. Call the initial state when the spring first reaches its maximum stretch in the initial direction of motion. The final state is when the spring first reaches its zero stretch length.

Energy of the system is constant Energy of the system is not constant  System: block + wall (+ spring) + table
Energy of the system is constant Energy of the system is not constant  System: block + wall (+ spring)
Energy of the system is constant Energy of the system is not constant  System: block + table
Energy of the system is constant Energy of the system is not constant  System: table
Energy of the system is constant Energy of the system is not constant  System: block

A bug flying horizontally at 0.85 m/s collides and sticks to the end of a uniform stick hanging vertically. After the impact, the stick swings out to a maximum angle of 5° from the vertical before rotating back. If the mass of the stick is 10 times that of the bug, calculate the length of the stick.

IP Two bicycles approach one another, each traveling with a speed of 7.50 m/s . If bicyclist A beeps a 310 Hz horn, what frequency is heard by bicyclist B? Which of the following would cause the greater increase in the frequency heard by bicyclist B: (i) Bicyclist A speeds up by 1.50 m/s, or (ii) bicyclist B speeds up by 1.5 m/s?

Estimate the Kelvin-Helmholtz lifetime in year of a 17 solar mass main sequence star. You will need the mass-luminosity relation and main sequence stellar class G0.

M / Mo = 1.1

R / Ro = 1.05

L / Lo = 1.3

a) Consider an ideal gas in a container with a frictionless piston. The gas is isothermally compressed at 26 degrees

Celsius as 940 Joules of work is done on it. Determine the resulting change in entropy of the gas, the change in entropy

of the environment and the universe. (assume the temperature of the environment is a constant 22 Celsius)

b) 20 grams of ice at 0 Celsius melt while being left at room temperature of 22 Celsius. After melting, its temperature

rises to 22 Celsius. Determine the resulting change in entropy of the gas, the change in entropy of the environment and

the universe.

c) If you are rolling a pair of dice, what is the entropy of the mactrostate 2, macrostate 5, and macrostate 7? Imagine a

pair of dice starts with a macrostate of 2 and then you roll it 5 times and get the following results: 5, 9, 7, 3, 8. What is

the resulting change of the entropy of the universe for each roll and for all 5 rolls put together?

Answers should be:

a) ΔSgas = -3.14 Joule/K, ΔSenvironment = +3.18 Joule/K, ΔSuniverse = +.04 Joule/K

b) ΔSice = +30.9 Joule/K, ΔSenvironment = -28.8 Joule/K, ΔSuniverse = +2.1 Joule/K

c) S2 = 0, S5 = kln4, S7 = kln6

ΔS1 = kln4, ΔS2 = 0, ΔS3 = kln(1.5), ΔS4 = -kln3, ΔS5 = kln(2.5), ΔStot = kln5

A beam of white light (400 – 700 nm) is shone at a small equilateral quartz prism. 1.5 m behind the prism is a large screen. What is observed on the screen, and where, if (A) the beam is incident on a vertex of the prism, and (B) if the beam is incident normal to one of the faces? Assume both the prism and the width of the beam are non-zero but negligible relative to the prism-screen distance. The index of refraction of quartz for 400 nm light is 1.47 and it is 1.45 for 700 nm light.

Please answer part B numerically, many answers are claiming the screen would show white light in part B. However, wouldn't the beam pass following the normal when entering, however diffract when exiting the prism?

Gamma rays of 1 MeV are Compton scattered at an angle of 80 degrees. What is the energy of the scattered photons and electrons? Determine the speed and angle of the electrons after the collision.

Learning Goal: To practice Problem Solving Strategy 37.3 Lorentz Transformations. An enemy spaceship is moving toward your starfighter with a speed of 0.400 c , as measured in your reference frame. The enemy ship fires a missile toward you at a speed of 0.700 c relative to the enemy ship. If you measure the enemy ship to be 1.00×107 km away from you when the missile is fired, how much time t, measured in your frame, will it take for the missile to reach you?

Part D

Suppose that the missile has an internal clock that is turned on when the missile is fired. What time t∗ would the clock show just before the missile hits your startfighter?

Express your answer in seconds to three significant figures.