Two objects are moving at the same speed of v= 2.25 × 108 m/s but in directions perpendicular to each other. Derive the relative speed between the two objects: a) based on the classical, Galilean, velocity transformation formulas; and b) based on the velocity transformation formulas of special relativity
Q: In the laboratory inertial frame, which we assume to be inertial, two events occur simultaneously at…
A: Given data: Δx= 3 m & Δt=10-8 sTo Calculate: Spatial Distance(Δx')
Q: Spatial separation between two events. For the passing reference frames of the figure, events A and…
A: Given Time period, ∆t=tB-tA=2μs unprimed frame, ∆x=xB-xA=497M d∆x'dβ=β∆x-c∆t1-β232=0 Where c is…
Q: Which one of the following statements concerning the proper length of a meter stick is true?…
A: Let's explain each option concerning the proper length of a meter stick:The proper length is always…
Q: A spaceship has a proper length of 48.41m. It is currently passing by the Earth moving at 55.8% of…
A:
Q: The factor y (gamma) appears throughout the expressions of special relativity. It depends only on…
A:
Q: An unstable particle with a mass equal to 3.34 x 10-27 kg is initially at rest. The particle decays…
A: Concept: When there is no external force on the system . The momentum remains…
Q: Show that the two successive Lorentz transformations corresponding to speeds v, and vz are…
A: Solution: The first Lorentz transformation for space is given as Where and the frame is travelling…
Q: A light source G is moving, with respect to an observer O, at an angle 0 =155" between the direction…
A: The approach used is based on the concept of relativistic redshift and the Lorentz transformation,…
Q: A spaceship has a proper length of 48.17m. It is currently passing by the Earth moving at 52.9% of…
A: l=48.17m (original length) v=0.529c (velocity of spaceship) c= speed of light
Q: According to the special theory of relativity, which of the following happens to the length of an…
A: Object would seem to increase in velocity from this frame of reference:
Q: The origins of two frames coincide at t = t' = 0 and the relative speed is 0.968c. Two…
A: Given: The relative speed is 0.968c. The coordinates of collision are x=98.2 km and t=239 μs.…
Q: A spaceship traveling in the positive x-direction at 0.615c relative a space station shoots a…
A: Given that A spaceship traveling in the positive x-direction at 0.615c relative a space station…
Q: How many of the following statements are FALSE?…
A: How many of the following statements are FALSE
Q: A spaceship leaving from the Earth and traveling to Barnard's Star, 5.9 light-years away (according…
A: Time dilation:According to special relativity, as an object moves closer to the speed of light, time…
Q: • A) Find the value of y for the following situation. An astronaut measures the length of her…
A:
Q: Find the speed of a GPS satellite (height is 20,200 km above the surface of Earth). Hence find the…
A: By using equation, v = ( G m2 / R + h )1/2 v= ( 6.67 x 10-11 x 5.98 x1024 / 20200 x 103 + 6.38 x 106…
Q: To circle Earth in low orbit, a satellite must have a speed of about 2.8 x 104 km/h. Suppose that…
A: Ans:- Image-1
Q: e Lorentz contraction formula in relativity theory relates the length L of an object moving at a…
A:
Q: Team A's spaceship immediately blasts off at (t, x) = (0, 0) and travels at a constant speed until…
A: Required : Which team wins.
Q: You drive north on a straight two-lane road at a constant 88 km/h. A truck in the other lane…
A:
Two objects are moving at the same speed of v= 2.25 × 108 m/s but in directions perpendicular to each other.
Derive the relative speed between the two objects:
a) based on the classical, Galilean, velocity transformation formulas; and
b) based on the velocity transformation formulas of
Step by step
Solved in 2 steps with 2 images
- Needs Complete typed solution with 100 % accuracy.In our inertial reference frame, we see a particle accelerating with a velocity dx/dt = ( 1 - e-gt )1/2 in units where c = 1 (speed of light) When we watch the particle's trajectory from t=0 to t=T, how much time passes in the particle's non inertial frame? Now express the answer such that T and the time have units of seconds instead of meters What's the 4-velocity in units c=1?Which of the following inertial reference frames are proper frames for the two events listed? Choose all that apply. ORED FRAME: A particle traveling at a constant velocity decayed in 3.8 μs. Event A was when. came into being (when it was 'born') & event B was when it decayed (when it 'died'). □ ORANGE FRAME: Event C happened at (5 m, -9 m, -8 m) and event D happened at (-5 m, -0.9 m, -8 m). O YELLOW FRAME: The distance between where event E occurred and where event F occurred was 4 m. □ GREEN FRAME: A rocket was traveling at a constant velocity when it passed through a stationary tunnel. Event G was the front of the rocket entering the tunnel and event H was the the front of the rocket leaving the tunnel. BLUE FRAME: A stationary rocket was engulfed by a hollow cylinder that was moving at a constant velocity. Event J was the front of the rocket entering the cylinder and event K was the the front of the rocket leaving the cylinder.
- When traveling past an observer with a relative speed v, a rocket is measured to be 9.00 m long. When the rocket moves with a relative speed 2v, its length is measured to be 4.90 m. Part A What is the speed v? v = VO ΑΣΦ ? Submit Request Answer ་ Part B What is the proper length of the rocket? CTRUE OR FALSE The time observed by the observer on Earth is longer than the time observed by the observer on the spaceship.Michale is decided to buy a ticket to go to space. After meticulously planning his journey, he travels in his vessel at speed 7/10c from Earth to the nearby planet, Alfa-0 , 20 light-years away (as measured in the common rest frame of Earth and Alfa-0). He spends a year (as measured in Earth- Alfa-0 frame) on this foreign planet sharing stories of human history to aliens. Finally, he is ready to head home. His hosts, charmed by his friendliness and the stories of his wonderful home, give him their best space ship for the return voyage. In this new ship, he travels at speed 95/100 c. Let W be Michael's departure from Earth (which we can set as the origin of the reference frame), X his arrival to the Alfa-0, Y his departure from the Alfa-0, and Z his arrival back to Earth. a. Draw the spacetime diagram from the rest frame of the Earth - Alfa-0 system, indicating Michale's worldline, and the events, W, X, Y, Z. (A rough sketch will suffice - do not worry about the angles. b. Find the…
- A spaceship moves by Earth at 2.8×108 m/s. A satellite moves by Earth in the opposite direction at 1.3×108 m/s. Use the Galilean transformation to calculate the speed vsatellite,x of the satellite relative to the spaceship. vsatellite,x = ? m/sA cosmic ray particle is released from an exploding star that is 2600 Light Years from Earth. If the particle traveled at 98% the speed of light, how far did it travel in its own frame of reference before hitting Earth?Please type instead of hand writting
- Paragraph Styles Voice Sensitivity Ed 2. Two objects are moving at the same speed of u = 2.25 x 10° ms-1 but in directions perpendicular to each other. Derive the relative speed between the two objects: a) based on the classical, Galilean, velocity transformation formulas; and b) based on the velocity transformation formulas of special relativity. ge 1 of 2 276 words A General\All Employees (unrestricted) EO * Accessibility: Good to go D Focus 15°C Light rain 09 Cop 13 f4 15 16 f8 to 110 112 2 米 insert prt sc 144 11 4AA 24 & 7 8. backs 3 4 LOAn important idea in relativity is to know when you can use classical mechanics and when you should use relativity. The relativistic and classical formulas for kinetic energy are: T_relativistic = E - moc² and T_classical = 1/2mov² = 1/2moc²beta². At what fraction of the rest energy is the classical formula valid to within 2%? Express your answer as: T/m0c^2 = 1/aTo circle Earth in low orbit, a satellite must have a speed of about 2.7 x 104 km/h. Suppose that two such satellites orbit Earth in opposite directions. (a) What is their relative speed as they pass, according to the classical Galilean velocity transformation equation? (b) What fractional error do you make in (a) by not using the (correct) relativistic transformation equation? (a) Number i Units (b) Number Units