A rubber bullet is shot with a speed of 130 meters per second with an angle 67.4 degrees above the horizontal. The ground is 115 meters above from where the rubber bullet was shot.

1. How much time is the bullet in flight?

2. How much time will it take for the bullet to reach max height?

3. How much is the max altitude the bullet can reach>

4. What time is the bullet 425 meters from the ground?

5. What is the range of the bullet?

6. What is the final velocity when the bullet hits the ground?

Compute the average of x and x^2 and determine ∆x for the ground state of the harmonic oscillator. b) Determine the average potential energy and describe how it is related to the total energy?

According to alignment of rods, how can you know what kind of bars are made? Explain by investigating alignment of moments and net magnetization.

an owl m=4.72kg slides down a semi-circular ramp r=7.5m. the owl starts at the top ramp at rest. when the owl is at an angle 31.9. what is the normal force exerted by the owl.

For both resistances, plot the charge curve of ln(1-V/V0) vs. time. From the slope of the line, calculate the C (capacity). Please write your answer as large and neatly as possible.

1) What type of air pollution exists in the cabins of airplanes?

2) Make a list of the pollutants and their possible health effects. How do these pollutants affect the biology of respiration?

3) How seriously are these air pollutants affecting the health of the passengers? How is this affecting the health of the flight crew?

4) How could these pollutants be avoided? Does this represent an unnecessary cost?

5) Overall, is this a serious health problem?

1. Special Relativity: Consider a firecracker that after being triggered explodes after 1 second. An observer A is standing some distance away from observer B who is traveling with constant velocity towards A with the firecracker. The velocity of B and distance between A and B is such that B will reach A in 1 sec as measured by A. At this instant B triggers the firecracker they are holding. Which of following options is correct?

   1. The firecracker explodes exactly when B reaches A

   2. The firecracker explodes before reaching A

   3. The firecracker explodes after crossing A

   4. All the above outcomes are possible

   Explain your answer. Include diagram in your explanation. Hint : this is not about time dilation.

Describe the development of the quantum model of electromagnetic radiation

A snake of proper length 100 cm is moving at speed v = 0.6c to the right across the table. A mischievous boy, wishing to tease the snake, holds two hatchets 100 cm apart and plans to bounce them simultaneously on the table so that the left hatchet lands immediately behind the snake’s tail 1 .

The boy argues as follows: “The snake is moving with v = 0.6c, therefore, its length measured in my frame is 100cm γ = 80 cm. This implies that the right hatchet will fall 20 cm in front of the snake, and the snake will be unharmed”. On the other hand, the snake argues “the hatchets are approaching me at 0.6c, and the distance between them is 80 cm. Since I am 100 cm long, I will be cut in pieces when they fall” (it’s a very smart snake).

Use Lorentz transformation to resolve this apparent paradox. In other words, resolve it quantitatively, not just with a qualitative argument about non-simultaneity.

Please show work quantitatively, thanks!

Estimate the thickness of a CdSe quantum dot film needed to absorb 90% of the incident light.

Explain the apparent contradiction between the Principle of Local Equivalence and the principle of mass independence established by Galileo. Then resolve this in terms of Einstein's vectorial acceleration.

1. The following questions relate to the following scenario.

A student is listing possible factors that determine the change in the kinetic energy of objects. She has collected data in the following experimental setup:

Two blocks with different masses are free to slide on a very, very smooth table between two parallel lines. An air blower pushes each block horizontally, exerting the same constant force. Both blocks start from rest and cover the same distance on their track under the action of the air blower. The experimental data collected by the groups support the claim that the final kinetic energies of the two blocks are equal.

Of the following explanations, which is the most correct and complete causal account of the kinetic energies of the two blocks being equal?

Group of answer choices

-The two blocks have equal final kinetic energies because when there is negligible friction, mechanical energy stays constant.

-The two blocks have equal final kinetic energies because the blower transfers to each of them equal amounts of energy per meter.

-The two blocks have equal final kinetic energies because the blower transfers to each of them equal amounts of energy per second.

-The two blocks have equal final kinetic energies because the higher final speed of the lighter block compensates for its smaller mass.

You throw a rock at time t=2 s at an angle of theta=-2 degrees with a speed of v=24 m/s from a high cliff. Calculate the speed of the ball at the time t=11 s. Use g=10 m/s/s.