Two carts on an air track have the same mass and speed and are traveling towards each other. If they collide and stick together, find (a) the total momentum and (b) total kinetic energy of the system. (c) Describe a different colliding system with this same final momentum and kinetic energy.

Two billiard balls with the same mass m move in the direction of one another. Ball one travels in the positive x-direction with a speed of V1i, and ball two travels in the negative x-direction with a speed of V2i. The two balls collide elastically, and both balls change direction after collision. If the initial speeds of the balls were v1i=2.0m/s and v2i =1.0m/s, what would be the final speed and direction of ball two, v2f, in m/s?    Thank you so much.

Phys1011: Waves on a String and Frequencies of Tones and Voice The purpose of this lab is to examine properties of waves and become familiar with terms used in describing waves. Simulator questions are adapted from PhET contributors Trish Loeblein and Susie Dykstra. Part 1 – PhET Waves on a String simulator: Watch the lab video. Open Waves on a String (https://phet.colorado.edu/sims/html/wave-on-a-string/latest/wave-on-a-string_en.html). Investigate wave behavior using the simulation for a few minutes. For these lab exercises, set up the sim for a sine wave by selecting “No End” and adjusting “Damping” to “None”. Select ‘Oscillate. 2. Write a hypothesis about the relationship between a wave variable in the simulator and its effect on wave speed (amplitude, frequency, tension). Test your wave speed hypotheses, and determine the relationships between the wave variables and wave speed. Make claims about the relationships (direct, inverse, none) between wave variables, using evidence to support claims, and explaining the relationship between the claim and evidence. 3. Frequency and wavelength are both in your equation for speed. Why is it that, when you changed the frequency, you did not change the speed of the wave? 4. The only variable we found that affects the speed of a wave on a string was the tension of the string. How does this relate to how a musician tunes a stringed instrument? 5. How does increasing damping change the wave?

You are working in the cancer therapy division of a hospital. This hospital treats cancer by hitting a tumor with high energy protons from a cyclotron. When the protons leave the cyclotron they are going at half the speed of light. You are in charge of deflecting the protons so they hit the patent's tumor. This deflection is accomplished by passing the proton beam between two flat, parallel electrodes that have a length of 10.0 feet in the entering beam direction. The protons enter the region between the electrodes going parallel to their surface. The two electrodes are separated by 1.5 inches. A high voltage is applied to the electrodes so that the protons passing between them have a constant acceleration as they are attracted directly toward one plate and repelled by the other. After the protons leave the region between the plates, they are no longer accelerated during the remaining 200 feet to the patient. To set the correct high voltage, you need to calculate the magnitude of the acceleration the protons need when they are between the plates so that they are deflected by 1.0 degree, the angle between the incident beam and the beam hitting the patient. The speed of light is 1.0 foot per nanosecond.

Please write legibly. Thank you.

1. Is the acceleration due to gravity a universal constant? Explain.

2. Is the acceleration due to gravity of objects affected by the Earth’s rotation? Explain.

A lens of focal length f₁ = +20 cm has an object positioned 50 cm in front of it. A second lens of focal length f₂= -15 cm is located 10 cm behind the first lens. a) Determine the two image positions for this combination of lenses. b) Is each image real or virtual, upright or inverted, and magnified or demagnified?

A student, starting from rest, slides down a water slide. On the way down, a kinetic frictional force (a nonconservative force) acts on her. The student has a mass of 77 kg, and the height of the water slide is 12.9 m. If the kinetic frictional force does -7.1 × 103 J of work, how fast is the student going at the bottom of the slide?

Select TWO analytical tool that uses electromagnetic waves to measure velocity. Explain how each tool uses electromagnetic waves to measure velocity. Describe the region of the electromagnetic spectrum that the tools you selected use. What properties distinguish each of these two regions of the spectrum from other regions?

The all-new iPhone Xs has a 2716mAh Li-ion battery. After a full charge, Sam used it for exactly a full day without recharging, leaving 15% battery in the phone. If the voltage of the battery is 3.8V, estimate (1) the average electric current (in Amperes), (2) the total amount of electric energy (in Joules), and (3) the average power (in Watts) that Sam’s iPhone Xs consumed during that day. This battery only has a mass of about 50 grams. As a comparison, search online and then estimate the amount of energy released by the explosion of 50 grams of TNT

In the figure here, a stationary block explodes into two pieces L and R that slide across a frictionless floor and then into regions with friction, where they stop. Piece L, with a mass of 2.5 kg, encounters a coefficient of kinetic friction μL = 0.43 and slides to a stop in distance dL = 0.38 m. Piece R encounters a coefficient of kinetic friction μR = 0.45 and slides to a stop in distance dR = 0.40 m. What was the mass of the block?

A hot-air balloon is drifting in level flight due east at 2.9 m/s due to a light wind. The pilot suddenly notices that the balloon must gain 26 m of altitude in order to clear the top of a hill 120 m to the east.

GIVENS:

How much time does the pilot have to make the altitude change without crashing into the hill? = 41s

What minimum, constant, upward acceleration is needed in order to clear the hill? = 3.0*10^-2m/s^2

What is the horizontal component of the balloon’s velocity at the instant that it clears the top of the hill? = 2.9m/s

You are pushing a box (m = 4 kg) horizontally with a constant force F = 30 N. After pushing it for a distance d = 5 m, the box reaches a hill inclined at θ = 25°. You stop pushing the box as soon as it reaches the hill. The coefficient of kinetic friction between the box and the road is µk = 0.4 and the hill is frictionless. How far up the hill is the box going to go?

Question #10: What is the basic character for RC circuit? In other words, how do the current and voltage change with time? What about the discharging? What is the time constant? How to compute it? How to compute the time constant. How does the charge capacitor change with respect to time?

I can't understand the difference between 'the work the electric force does' and 'the work the electric field does'. Could you explain it in detail?

Two phenomena for waves you have seen this week are interference, specifically spatial, and resonance.

For each phenomenon, describe briefly what is happening and why, then considering that each one can be good or bad depending on the situation, see if you can give two cases for each - 2 where good, 2 where not good.

Please no handwritten or picture responses - only typed replies.