Two objects are moving in the xy-plane. The first, with mass 2.8 kg, has a velocity v₁ = (-2.0 m/s) i + (-3.5 m/s) j; the second object, with mass 1.5 kg, has velocity v₂ = (2.1 m/s) i + (-1.5 m/s) j.

(a) What is the total momentum of the system?
( -2.45 i + -12.05 j) kg·m/s

(b) If the system observed at a later time shows that the 2.8 kg object has v'₁ = (2.0 m/s) i, what is the velocity of the 1.5 kg object?
( ? i + ? j) m/s

(c) Consider again the initial situation. Now suppose that there has been a mass transfer, so that the first object now has a mass of 2.6 kg. The total mass is conserved. What is v'₁ if the velocity of the second object is (-2.5 m/s) j + (1.3 m/s) k?
(? i +? j +? k) m/s

(d) Calculate the sum of the kinetic energies in the initial configuration and in the configurations of parts (b) and (c).
Configuration (a)
? J
Configuration (b)
? J
Configuration (c)
? J

To analyze the resulting pattern of bright and dark fringes when laser light passes through a single slit, what fundamental principle of light propagation is used?

A racecar of mass 500 kg is going around a curve of radius 15.0 m, banked at 45∘ . The car has a coefficient of static friction with the track which is 0.200. The car also has a rear wing which produces downforce—“negative lift” due to airflow over the wing, which pushes the car into the track. The downforce is given by ? = ?v² , where ? = 10 kg/m. Find the minimum and maximum speeds between which the car can take the curve without skidding.

MUST ANSWER EVERY PART

In each of the following situations, Emma is in the exact center of a glass-sided fright car speeding to the right at a very high speed v relative to you. For each question, explain your reasoning.

Emma has a flashlight in each hand and directs them at the front and rear ends of the freight car. She then switches the flashlights on at the same time.

In Emma�s frame of reference, which beam of light travels at a greater speed, the one directed toward the front or the one directed toward the rear of the train, or do they travel at the same speed?

In Emma�s frame of reference, which end, front or rear, is struck by light first, or are they struck at the same time? Which end is struck first in your frame of reference?

Calculate the final and initial mechanical energy for trials 1 through 6. Calculate the Diff %.

A block of mass m = 2.90 kg is pushed a distance d = 5.80 m along a frictionless horizontal table by a constant applied force of magnitude F = 16.0 N directed at an angle θ = 21.0° below the horizontal as shown in the figure below. (a) Determine the work done on the block by the applied force. J (b) Determine the work done on the block by the normal force exerted by the table. J (c) Determine the work done on the block by the force of gravity. J (d) Determine the work done by the net force on the block. J

Deserted on a deserted Island you spot a slightly exposed tin can under a tree. Upon opening it you find it’s instructions to a treasure. It reads: “Ten paces from this very tree in a direction twenty degrees south of west lies the first location. Ten paces from this very tree in a direction sixty degrees north of east lie the second location. Walk from this tree exactly the distance and direction you would walk from the first location to the second location and you will find ye treasure. Yar” (a) What are the coordinates of treasure? (b) Use a physical representation in conjunction with the Related Quantities sense-making technique to check the validity of your answer.

1. Consider three point charges at the corners of a triangle as shown in the figure, where q1=6.0x10-9 C , q3= 5.0x10-9 C, q2=-2.0x10-9 C, and the distance of separation are shown in the figure. Calculate the resultant force acting on q3. (Given: 60degree angle at q1 & q2, radius= 5 meters)

please explain. Thank you :)

Explain the following:

• How many lenses do human eyes have and what are they called? How do they work to show us objects both close and far away? (Remember that simple glass lenses only have one focal length, unlike our eyes.) What happens as we age?
• How do humans perceive color? Can our brains be fooled into thinking we see a color (let’s say yellow) when we are not actually looking at yellow light? (Hint: This relates to TV and computer screens.)

Discuss the eyes of other animals—let’s say cats, flies, and hummingbirds. What do these animals’ eyes do better than humans’? Why does the animal benefit from these different abilities? Does the animal lack visual abilities that humans have?

1. Which is true about the stopping potential V_stop?

2. What happens to the shift in wavelength of the x rays if we increase the mass of the target?

3.

If an electron moves into a region where it then has more potential energy, which is true?

Two charges q₁ = ?3.20 nC and q₂ = +8.31 nC are at a distance of 1.62

Derive the Maxwell equations for F (Helmholtz Free Energy) and G (Gibbs Free Energy) with “for all mathematical stages"? What is the condition of being a state function, and which of the parameters E (Internal energy), Q (Heat), W (Work), S (Entropy) are not the state function? Why is that?

Julia throws a 2.0kg rock at 11.0m/s from the ground at an angle of 50 degrees from horizontal toward a building. If the base of the building is 5.0m away from her, then what is the a) Kinetic Energy and b) Work done by gravity on the rock when it hits the wall?

Could you please explain ray tracing for mirrors, how do you know which way the traces go and why, I'm having trouble figuring out where the object is vs. the image. Thank you

An ambulance is traveling towards the scene of an accident at 40 m/s. Since this is a rather high speed the ambulance is blaring its siren that has a frequency of 325 Hz. The speed of sound is around 340 m/s

Part 1. Find the wavelength of the sound waves in front of the ambulance. Give your answer to 3 significant digits

m

Part 2. Due to the Doppler Effect what is the effective frequency of this sound to the listener f_L? Give your answer to 3 significant digits

Hz

Part 3. Use this new frequency and that the amplitude of the sound waves are 3.85 cm to find what the intensity of the sound wave is to an observer standing at the crash site when the ambulance is 1000 m away?

Give your answer to 3 significant digits

W/m²

Part 4. What is the intensity when the ambulance is parked 10 m away from the crash site? Give your answer to 3 significant digits

W/m²

Part 5. What is the intensity level for both? Give your answer to the nearest decibel

1000 m: dB

10 m: dB