Now consider the collision represented in the animation below. Let's assume that the two balls are sliding on a frictionless, horizontal surface. Do not assume that this collision is elastic (though it might be). Here's what's given:
The direction of +x is to the right.The blue ball has twice the mass of the red. Let's make them mb = 2 kg and mr = 1 kg.
The red ball is initially stationary.
The initial velocity of the blue ball, vbi, is 6 m/s, and its final velocity, vbf, is 2 m/s.
1)Find the final velocity, vrf, of the red ball, in meters per second. Enter only a single number (without units) before submitting. If your answer isn't an integer, you've made a mistake somewhere ! 2)The principle that I used to get the answer to the previous question was conservation of ... 3)
the initial KE of the system (both balls) in this problem is: (give answer and show/explain how you got it) 4)
The final KE of the system (both balls) in this problem is: (give answer and show/explain how you got it) 5) was the collision elastic?
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1. Ablockofmass M = 4kg, cross-sectional area A = 1 m^2, and height h = 60 cm sits in a liquid with density ρ = 12 kg/m^3.
a) Find the depth d the block will sit in the water when in
equilibrium.
b) At time t=0, the block is released from being completely
submerged in the liquid, calculate the amplitude and frequency of
oscillation.
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SLIDING OSCILLATIONS 3 My Notes A block weighing 273 g slides along a frictionless track at a speed 8.9 cm/s. It then attaches to a spring-bumper with an electromagnetic device so that the block attaches to the bumper. The bumper has a mass of 115 g, and the spring has a stiffness of 1110 kg/s2 and an equilibrium length of 9.5 cm. After the spring compresses and returns to its original length, the magnet turns off and the block launches off again, conserving energy. (a) How fast is the block just after it attaches to the paddle? (b) What is the maximum compression of the spring before the block turns around? (b) How fast is the block moving after it launches off the paddle?
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A transverse sinusoidal wave on a string has a period T = 33.0 ms and travels in the negative x direction with a speed of 30.0 m/s. At t = 0, a particle on the string at x = 0 has a transverse position of 2.00 cm and is traveling downward with a speed of 3.00 m/s. (a) What is the amplitude of the wave? m (b) What is the phase constant? rad (c) What is the maximum transverse speed of the string? m/s (d) Write the wave function for the wave. (Use the form Asin(kx + ωt + ϕ). Round all coefficients to three significant figures.) y(x, t) =
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A very light string is wound around a cylindrical spool of inertia M and radius R. The cylinder rotates on a frictionless horizontal axis with a moment of inertia 1 2MR2 . Attached to the end of the string is a block of inertia m, which pulls on the string and unwinds it from the cylinder, as the block falls.
(a)Draw an extended free-body diagram for the cylinder, and a regular free-body diagram for the block.
(b)Let m = 5 kg, M = 2 kg, and R = 6 cm. What is the acceleration of the block as it falls?
(c)What is the tension on the string
(d) After the block has dropped 30 cm, starting from rest, what is the total kinetic energy of the system, and how is it distributed between the block and the cylinder?
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A heat engine receives an amount of energy Qh= 790 kJ by heat transfer from a high temperature thermal reservoir at Th=950 K. Energy is rejected by heat transfer to a lower temperature thermal reservoir at T1=590 K. If waste heat in the amount of Q1=160 kJ is rejected to the low temperature thermal reservoir during each cycle.
a) Solve for the maximum theoretical efficiency that an engine in this situation could operate with. ANSWER: 0.379
b) Solve for actual efficiency that the engine is operating with.
c) Which of the following best describes the manner in which the cycle is operating...
-Reversibly or Impossibly?
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The two blocks, m1 = 2.6 kg and m2 = 4.2, in the figure below are connected by a massless rope that passes over a pulley. The pulley is 12 cm in diameter and has a mass of 2.0 kg. As the pulley turns, friction at the axle exerts a torque of magnitude 0.55 N · m. If the blocks are released from rest, how long does it take the 4.2 kg block to reach the floor from a height of h = 1.0 m? (Note: If your random numbers do not create movement between the masses enter 0 for your answer.)
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A simple pendulum of length 0.50 m has a 0.30-kg bob. At t = 0, the bob passes through the lowest position in its motion, and at this instant it has a horizontal speed of 0.39 m/s . A. What is the maximum angular displacement ϑmax away from vertical that the pendulum reaches? B. What is the magnitude of the bob's linear speed v when it has angular displacement ϑmax/2?
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Which of the descriptions below is an example of resonant energy transfer? (Choose all that are correct.)
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Hint 1.
opened hint
Review natural frequency and resonance.
Which of the descriptions below is an example of resonant energy transfer? (Choose all that are correct.)
| A block sliding on a horizontal surface slows down and comes to a stop due to the friction force. |
| Soldiers marching in unison on a bridge with their steps at a frequency that is very different than the natural vibration frequency of the bridge. |
| A vibrating pendulum connected to a very similar second pendulum influences the vibration of the second pendulum. The amplitude of vibration of the first pendulum decreases and the amplitude of the second increases. This exchange of amplitude and energy keeps happening back and forth between the two pendulums. |
| Ultrasound machines are used to apply a variable force at a frequency that matches the natural frequency of gall stones, causing the gall stones to vibrate and break up. |
| A box is pushed with a constant force down an empty abandoned hallway and its speed increase. |
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During typical urination, a man releases about 400 mL of urine in about 30 seconds through the urethra, which we can model as a tube 4.0 mm in diameter and 20 cm long. Assume that urine has the same density as water, and that viscosity can be ignored for this flow. What is the flow speed in the urethra? If we assume that the fluid is released at the same height as the bladder and that the fluid is at rest in the bladder (a reasonable approximation), what bladder pressure would be necessary to produce this flow? (In fact, there are additional factors that require additional pressure; the actual pressure is higher than this.)
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Determine the most probable interaction for the following: a. 30 kev photon on calcium b. 100 kev photon on iodine c. 300 kev photon on water d. 10 Mev photon on lead
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please rephrase/ rewrite this paragraph and you can add your own ideas
''Power plants all across the country are connected to each other through the electrical system. These power stations are responsible for generating electricity for many homes and buildings which are all interconnected through the network of wires we refer to the electrical grid. The methods in use for generating electricity varies with location or power station preference but, then main two ways are fossil fuels and gas. Other methods include nuclear power, hydroelectric generations, wind turbines, magnetic coils and more recently solar power. One way to look at electricity in cities is as one large body of water spilling into small pond. The network of ponds is actually a continent sized network of high voltage power lines and the houses, businesses, and factories get electricity from that grid. Until recently, electric energy could not be stored in the grid. The pond analogy also works at it suggests that water flow one direction. The electric current in the grid is alternating current, meaning it rapidly switches directions. However, the overall power itself flows from plants to house the same way water would flow from a stream into a small ponds. The large stream contributes to the one network of ponds, and all houses draw from the same network. This is how it works with power plants, the electric grid, and the houses using electricity. The electrical charge goes through high voltage transmission lines that stretch across the country. The voltage is lowered so it can be sent onto smaller power lines. It travels through distribution lines to neighborhoods, where smaller pole top transformers reduce the voltage again to make the power safe to use in our homes. There are also transformers at work on the other end. Their job is to drop the voltage back down to safer and more usable levels. A meter is used to measure how much each family uses. The electricity goes to service panel in your basement or garage, where breakers or fuses protect the wires inside your house from being overload. The electricity travels through wires inside the walls to the outlets and switches all over your house.''
upload your work as picture. Thank you so much
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Calculate the temperature of a planet. A star has a surface temperature of 4000K and a radius of R = 8 × 108 m It has a rocky, airless planet orbiting it at a distance of 1.0×1011 meters. The planet has a radius of 5.0 × 106 m. We will estimate 1 for all objects. (a) What is the total power output of the star?
(b) What is the power incident on each square meter at distance to the planet (i.e. on an imaginary sphere).
(c) How much power is absorbed by the planet? (Assume the planet is black. Use the fact that the planet looks like a disk.)
(d) In equilibrium, Pin = Pout. How much power does the planet radiate per square meter of surface area of the planet?
(e) What is the temperature of the planet? (Should humans try to live there?)
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Examples, please Paired design with repeated measures Paired design with matched pairs
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Very detailed explanation on how a battery operates. The theory in the internal resistance of batteries, how charge is created, EMF, Electrochemical reaction in batteries, etc.
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