A particle of mass m is constrained to a circle of radius r0: that is, the potential for the particle is 0 when the
particle is anywhere on that circle and infinite everywhere else,
?(?) = 0 (r=r0)
V(r) = ∞ (? ≠ ?0)
Find the eigenvalues and normalized eigenfunctions of the Hamiltonian for a particle on a ring.
What is the degeneracy of eigenvalues for this system. how many eigenfunctions are
there for each eigenvalue)?
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Elastic Collision lab. I'm trying to calculate velocity, momentum, and kinetic energy in an elastic collision. The data I have is this. I tried using these numbers to calculate velocity and momentum but the results show momentum is not conserved as it should be. Is that just error from measurements or am I missing something?
| Car A | Car B |
| length=10cm | length=10cm |
| weight=189.6g | weight=299.7g |
| initial=0.153s |
initial=0s |
| final=-0.705s | final=47.2s |
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If we recreated the scene from Fast & Furious 7 and dropped a Challenger SRT® Hellcat Redeye Widebody from a C-130 aircraft at 5,280 ft, how much horsepower would it take to drive past it before it hits the ground if you’re 1 mile away?
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A 3000 kg minivan moving east at velocity 45 km/h collides with
a 1000 kg car moving north at
velocity 55 km/h. The two cars lock together, find their velocity
in km/h just after the accident.
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The conservation of charge in an electric circuit is closely related to which of the following?
Group of answer choices
Ohm's law
Kirchhoff's junction rule
Kirchhoff's loop rule
Newton's laws
Ampère's law
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The galaxy that contains our solar system, the milky way, is approximately a uniform disc of mass 10^12Msun and diameter 175×10^3 light years. Assuming that the center of mass of the galaxy is at rest, estimate the time that it takes the sun to complete one orbit around the galaxy center. A few useful numbers: the mass of the sun Msun = 2 × 10^30kg, 1 light year = 9.46 × 10^15m, and the distance between the sun and the galaxy center d = 26.4 × 10^3 light years.
Use the viral relation PE = -2 KE, and estimate the period using, t=2pir/v
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If the mass of the ice in the test tube is
m_ice=15g
mass of warm water used (g) = 70g
Initial temperature of water (in degrees C ) =70C
Equilibrium temperature of ice-water system (in degrees C)
=44C
Calculate the calories of energy required to melt one gram of
ice.
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The cube in the figure below has 5 sides grounded and the other side is held at a potential Vo. What is the potential at the center of the cube?
Side note: I can't upload the image for some reason. All it shows is a cube with a shaded face on the right hand with an arrow pointing left into that shaded side, with the label Vo.
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Two charges each +q are initially separated by a distance d. If you triple the distance, the magnitude of the force does what?
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A 750-g disk sliding along frictionless ice with a speed of 8.5 m/s strikes a stationary rod-disk combo 12-cm from its center-of-mass. This rod-disk combo is made from a 360-g rod that is 35-cm long, with 2 150-g solid disks of radius 7.0-cm attached, one on each end of the rod. After the perfectly elastic collision, the disk moves off along a path that is 28º above its original path, while the rod-disk combo spins about its center-of-mass as it moves off at an angle as well. Using this information, find the translational speed of both objects after the collision, the angular speed of the rod-disk combo, and the angle of its trajectory.
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Explain the Enzyme-Based sensors for the assay of glucose. Discuss the reaction mechanism too. Explain in detail working principle with the chemical reactions involved in this measurement.
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The acceleration of a 5.00 kg object (a box) is described below.
From t=0 to 10.00 seconds, the acceleration is time-dependent and is given by the formula: a=(0.200 m/s^3) t
From time t= 10.00 up to t=15.00 seconds, the acceleration of a box is constant and is given by the following formula: a=2.00 m/s^2
From t=15.00 up to t=25.00 seconds, the acceleration is given by a=(-0.200 m/s^3)t+5.00 m/s^2
Produce a single graph (of Force vs. time) in Excel that illustrates this. Your data should start at t=0 and go up to t=25.00 in increments of 1.00 seconds.
After you have produced the graph, calculate the impulse (J) from the graph. Note that the impulse is the area under a force v. time graph curve.
Impulse= _______ kg m/s
The acceleration of a 5.00 kg object (a box) is described below.
From t=0 to 10.00 seconds, the acceleration is time-dependent and is given by the formula: a=(0.200 m/s^3) t
From time t= 10.00 up to t=15.00 seconds, the acceleration of a box is constant and is given by the following formula: a=2.00 m/s^2
From t=15.00 up to t=25.00 seconds, the acceleration is given by a=(-0.200 m/s^3)t+5.00 m/s^2
Produce a single graph (of Force vs. time) in Excel that illustrates this. Your data should start at t=0 and go up to t=25.00 in increments of 1.00 seconds.
After you have produced the graph, calculate the impulse (J) from the graph. Note that the impulse is the area under a force v. time graph curve.
Impulse= _______ kg m/s
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Assume that the speed of the ball is what you found the in previous question. What is the tension force in the rope when the ball is the bottom of its circular path? Enter you answer in multiples of (mg).
For example, if you find the tension force is you should enter 3.75 as you answer.
My speed was 3.13 m/s - marked correct. the Radius is 1m.
The answer is not 1.32 - as previously answered on another question.
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What is the energy required to turn 1000 cubic centimeters of ice at -10 degrees Celsius into water at 90 degrees Celsius
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