Let three equations of the model take these forms: 1 -3U + 1 dn 3 (р — п) dt dU 1 (т - р) -- dt a. Find p(t), T(t), and U(t) b. Are the time path convergent? Fluctuating? explain
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- (a) Find the value of for the following situation. An astronaut measures the length of his spaceship to be 100 m, while an observer measures it to be 25.0 m. (b) What is the of the spaceship relative to Earth?A particle has γ=18,399. a) Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV. Thank you so much!!A particle has γ=18,399. a)Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 1,739 MeV/c, calculate its energy in MeV.
- A particle is moving on top of a 2-dimensional. plane with its coordinates given incartesian system asx(t) = a sin ωt, y(t) = a cos ωt.Express the motion of the particle in terms of polar coordinates (ρ, φ). What is the minimum numberof generalised coordinates required to describe. its motion? Draw the. trajectory of the particle.Now if the particle trajectory is changed to the followings, repeat the exercise.x(t) = 2a sin ωt, y(t) = a cos 2ωtUse the fall-time associated with 1.5m to calculate g. What uncertainty would you assign to your calculated value of g? Explain your reasoning for assigning this value.Determine the value/s of x using complex number conversions and operations. Express answers in indicated form (i.e. if the given complex number is in rectangular form, the answer should be in rectangular form). x = (e^(-3+j4)) – (e^(1+j2)) Answer should be in exponential form
- H. W3: - Determine the following properties (Linearity, time invariance, causality, stability, and memoryless) for the systems: c. y(n) = 30x(n) – 40x(n – 1) d.y(n) = sin[x(n)] с. -Please answer letter A clearly, briefly, and concisely po, especially sa #4. I think the answer to 1-3 is A>B>C>E, but for the #4 I’m quite unsure. Hope you could help me!When you throw a ball into the air, it usually falls back down. If you throw it a little harder, it will take it longer to fall back down. You can throw it so hard that it never falls back down to Earth. This launch speed is called the escape velocity. When you are far from Earth, the potential energy of an object with mass m can no longer be written as PE = mgh. Instead, we must use the equation М-т PE = -G .. 1" M is the mass of the planet you launch from. m is the mass of the object being launched. r is the distance from the center of the planet to the object being launched. G is a universal constant called the gravitational constant (6.67-10-" ). kg-s Notice that the potential energy is 0 when you are infinitely far away from the planet, and negative as you get closer.
- A particle has γ=2,865. a) Calculate c-v in m/s. If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation. b) In the previous problem, in a race to the moon, by 3/4ths the distance, light is one or ten meters ahead of the particle. We routinely approximate mass as zero, gamma as infinite, and speed as the speed of light. ("Massless particles" -- gamma and m have to be eliminated from the expressions. Light is a true massless particle.) If a massless particle has momentum 2,910 MeV/c, calculate its energy in MeV.A particle has γ=15,687. Calculate c-v in m/s. (I would have asked for 1 - v/c, making the answer dimensionless, but the system doesn't seem to take numbers that small. Gamma is chosen to make the particle extremely close to the speed of light.) If your calculator gives problems, you might want to solve the appropriate equation for c-v or c(1 - v/c) and use an approximation.Find the mass of the following thin bars. A bar on the interval 0 ... x . 9 with a density (in g>m) given by rx2 = 3 + 2Vx
