A particle of mass 'm' moves along straight line and is attracted towards a point on this line with a force proportional to the distance 'x' from that point. The Lagrangian of the system is mv² + kx² O mu² - kx? mv? + kx?

Q: An electron is moving in circular motion with uniform speed 0.95 c, where c is the speed of light in…

A: Velocity of electron= 0.95 c

Q: According to the theory of relativity, the mass m of a particle depends on its velocity v. That is,…

A: According to relativity, the change in mass when it travels with relativistic speed

Q: which one of the following matrix is not part of the Lorentz group? Select one: O a. O b. 0 с. O d.…

A: It is as follows:For matrix A to be a part of the Lorentz group, its determinant should be equal to…

Q: Two neutron stars are separated by a distance of 1.0 x 100 m. They each have a mass of 1.0 x 1029 kg…

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Q: The length of a moving spaceship is 30.8 m according to an astronaut on the spaceship. If the…

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Q: In a reference frame where a Δ+ particle is at rest, it decays into a proton and a high-energy…

A: Let the momentum of the delta particle be denoted as Pd , the momentum of photon be denoted as, Pγ…

Q: (a) State and explain the two traditional postulates from which special relativity originates. (b)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: A muon formed high in the Earth's atmosphere is measured by an observer on the Earth's surface to…

A: Given, Distance measured by an observer on the earth surface , l=3.43km=3430 m Speed measured by an…

Q: The length of a moving spaceship is 29.8 m according to an astronaut on the spaceship. If the…

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Q: The Stanford Linear Accelerator (SLAC) accelerates electrons to ν = 0.99999997c in a 3.2-km-long…

A: Given: The speed of electron is 0.99999997c. The length of tube is 3.2 km.

Q: A particle has rest mass 6.64 x 10-27 kg and momentum 2.10 x 10-18 kg . m/s. (a) What is the total…

A: The expression for total energy of the particle is E=p2c2+mc22 Use the given values, E=2.1×10-18…

Q: an aerospace is moving away from the earth at a velocity v = 0.6c to carry out a research. when the…

A: (a) Let t be defined as the time taken by the signal to reach the aircraft. Then ct=5×108…

Q: Suppose two identical particles, each with identical masses and kinetic energies collide head-on.…

A: The problem will be solved using the principle of conservation of energy and momentum.  Let the mass…

Q: An electron is moving in circular motion with uniform speed 0.95 c, where c is the speed of light in…

A: Given data: Uniform speed, v=0.95 c Speed of light, c=3×108 ms The radius of the circle, r=1.2…

Q: A track is 100.0m long. A particle moves parallel to the track with v such that (v/c)2 = 0.75. In…

A: Given that:Length of track in reference frame of track, L0=100.0 mParticle moving in parallel to the…

Q: The length of a moving spaceship is 27.4 m according to an astronaut on the spaceship. If the…

A: The expression for the speed from length contraction,

Q: In the laboratory frame, two observers A and B are moving along the sides of an equilateral triangle…

A: The speed of B as measured by A. Given, speed of observers, v=c2

Q: The reference frame S' moves relative to S with velocity u along the axis. Let va and va denote the…

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Q: A particle of mass 'm' is moving in a potential V(x) = -ax² + bx4 . Find the time period and…

A: Answer  : We know the potential of a simple harmonic oscillator is , Vx = 12mω2x2    ..........(1)…

Q: An unknown particle in an accelerator moving at a speed of 1.50 × 108 m/s has a measured total…

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Q: A muon is created 60.0 kmkm above the surface of the earth (as measured in the earth's frame). The…

A: Dear student, this question contains more than three sub-parts. As per guide lines we will answer…

Q: Particle X, 5 kg being projected to move at 12/13 c towards a stationary particle Y, 2 kg. The two…

A: Given - Mass of particle X (mX )  = 5 kg Mass of particle Y (mY)  = 2 kg Initial speed of particle X…

Q: Consider a particle of mass m acted on by a force F in an inertial frame. Prove that dK = F. dr, (1)…

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Q: A futuristic rocket ship of mass mahip- 6.0 x 10° kg is sent into space carrying one person with the…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub parts for…

Q: A frame B shown below in Figure 1, is rotated 90° about the z-axis, then translated 3 and 5 units…

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Q: For the frame shown, Determine the magnitude of the pin reaction at A given that P = 30 KN; a = 1.4…

A: Option A

Q: The muon is an unstable particle that spontaneously decays into an electron and two neutrinos. In a…

A: a) The equation to determine the life time of the moving muon is,

Q: rocket is traveling through space and its Lorentz factor (y) is 3.9. Determine the rocket's speed…

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Q: he velocity of an alpha particle, He2+, with a mass of 6.64×10−27kg changes from v1=(−0.30,…

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