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.

Daniel with mass 65.0 kg and Rebecca with mass 45.0 kg are skating. While Daniel stands at rest, He is struck by Rebecca. She is moving at 13.0 m/s before she collides with him. Rebecca has a velocity of magnitude 6.00 m/s at an angle of 55.1 ∘ from her initial direction after the collision. Both skaters move on the frictionless and horizontal surface .
a)Find the magnitude of Daniel's velocity after the collision?
b)Find the direction of Daniel's velocity after the collision? ∘ from the Rebecca's original direction
c)Find the change in total kinetic energy of the two skaters as a result of the collision?

A blue car with mass mc = 512 kg is moving east with a speed of vc = 17 m/s and collides with a purple truck with mass mt = 1397 kg that is moving south with an unknown speed. The two collide and lock together after the collision moving at an angle of θ = 56° South of East

1.What is the magnitude of the initial momentum of the car

2.What is the magnitude of the initial momentum of the truck

3.What is the speed of the truck before the collision

4. What is the magnitude of the momentum of the car-truck combination immediately after the collision

5. What is the speed of the car-truck combination immediately after the collision?

A pair of bumper cars in an amusement park ride collide elastically as one approaches the other directly from the rear, as seen in part (a) of the figure below. ((a) before collision, (b) after collision) One has a mass of m1 = 462 kg and the other m2 = 546 kg, owing to differences in passenger mass. If the lighter one approaches at v1 = 4.48 m/s and the other is moving at v2 = 3.63 m/s, calculate the velocity of the lighter car after the collision.

Calculate the velocity of the heavier car after the collision.

Calculate the change in momentum of the lighter car.

Calculate the change in momentum of the heavier car.

A company is considering the purchase of an industrial laser for $150,000. The device has a useful life of five years and a salvage (market) value of $30,000 at the end of those five years. The before-tax cash flow is estimated to be $45,000 per year. The laser would be depreciated using MACRS with a recovery period of three years. If the effective income tax is 25% and the after-tax MARR is 15%, use the PW method on an after-tax basis to determine the profitability of the laser and make a recommendation.

Be sure to explain any extraordinary calculations (such as the computation of taxable income related to the sale of the laser after five years) as well as the reasoning for your recommendation.

A blue car with mass m_c = 537 kg is moving east with a speed of v_c = 20 m/s and collides with a purple truck with mass m_t = 1380 kg that is moving south with an unknown speed. The two collide and lock together after the collision moving at an angle of θ = 56° South of East1)What is the magnitude of the initial momentum of the car?

2)

What is the magnitude of the initial momentum of the truck?

3)

What is the speed of the truck before the collision?

4)

What is the magnitude of the momentum of the car-truck combination immediately after the collision?

5)

What is the speed of the car-truck combination immediately after the collision?

Two ice skaters, Daniel (mass 65.0kg ) and Rebecca (mass 45.0kg ), are practicing. Daniel stops to tie his shoelace and, while at rest, is struck by Rebecca, who is moving at 13.0m/s before she collides with him. After the collision, Rebecca has a velocity of magnitude 8.00m/s at an angle of 53.1? from her initial direction. Both skaters move on the frictionless, horizontal surface of the rink.

Part A

What is the magnitude of Daniel's velocity after the collision?

Part B

What is the direction of Daniel's velocity after the collision?

Part C

What is the change in total kinetic energy of the two skaters as a result of the collision?

Honey is made from a mixture of fructose, glucose, and sucrose. How can you use Benedict's reagent to determine the number of moles of sucrose in a 1.0g sample of honey? (Hint: If excess Cu2+ is present the difference in [Cu2+] before and after reaction is twice the concentration of reducing sugar present.)

1. What is the effect on our economy of the price control?
2. Often, before the election, we can hear everywhere “THE MINIMUM WAGE MUST BE INCREASED”. After watching this video what is your opinion on minimum wage law?
3. Is price gouging moral? Should it be illegal? Share your thoughts?

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.