In frame o an object moves in the x-direction with velocity u= 0.82c. Find the magnitude of the x-component of the velocity in frame o' which moves at velocity v =-.75c in the x-direction relative to frame o. Give your answer in units of c (e.g. 0.703 if the answer is 0.703c). Round your answer to 3 decimal places. Add your answer
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- A spacecraft with proper length 600 m travels at speed of ().3c relative to an inertial frame of reference S. A small ball rolls inside the spacecraft with a velocity u' = 0.12c in the positive x direction relative to the spacecraft. ν a. What is the ball's speed as measured by an observer in frame S? Give answer in units of c. 0.40 b. How much time will it take to the ball to cross the whole spacecraft (end to end) according to an observer in frame S? Give answer in microseconds (1 μs = 10−6 s). 18.2 c. What is the distance the ball rolled (relative to frame S). Give answer in km. 2.10 XThe dimensionless parameter γ is used frequently in relativity. As γ becomes larger and larger than 1, it means relativistic effects are becoming more and more important. A. What is γ if v = 0.28c? B. What is γ if v = 0.53c?A friend speeds by you in her spacecraft at a speed of 0.790 c. It is measured in your frame to be 4.60 m long and 1.60 m high. Part A What will be its length at rest? lo = 7.50 m Submit ✓ Correct Correct answer is shown. Your answer 7.49 m was either rounded differently or used a different number of significant figu Part B What will be its height at rest? ho= 2.61 Submit Previous Answers Request Answer Part C Previous Answers X Incorrect; Try Again; 4 attempts remaining Submit Part D IVE ΑΣΦ How many seconds elapsed on your friend's watch when 23.0 s passed on yours? Ato 14.1 s Submit Part E ✓ Correct Important: If you use this answer in later parts, use the full unrounded value in your calculations. Ato = Previous Answers How fast did you appear to be traveling according to your friend? OF [Π ΑΣΦ Submit ? Request Answer m How many seconds elapsed on your watch when she saw 23.0 s pass on hers? ■ | ΑΣΦ Request Answer ? S
- A particle has a lifetime, as measured in its own reference frame, of 2.86 µs. It propagates at a speed of 0.933c. How far does it go before disintegrating? Express your answer in meters and keep three significant digits.A 1 km spacecraft is racing towards the Sun at 0.75c. Using equations given in class, calculate the spacecraft length you measure from Earth. Treat Earth as not moving compared to the spacecraft's motion of 0.75 c.Question 24. Suppose a cosmic ray colliding with a nucleus in the Earth’s upper atmosphere produces a muon that has a velocity ?=0.950?. The muon then travels at constant velocity and lives 1.52?s as measured in the muon’s frame of reference. (You can imagine this as the muon’s internal clock.) a. How far does it travel as viewed by an observer moving with it? Base your calculation on its velocity relative to the Earth and the time it lives (proper time). b. What distance does the muon travel according to an Earth-bound observer? *for first part 0.433 km can you help with the second part?
- A spaceship leaves Earth traveling at 0.60 c. A second spaceship leaves the first at a speed of 0.90 c with respect to the first. Calculate the speed of the second ship with respect to Earth if it is fired in the same direction the first spaceship is already moving. Express your answer using two significant figures. ΑΣΦ 画 ? Submit Request Answer Part B Calculate the speed of the second ship with respect to Earth if it is fired directly backward toward Earth. Express your answer using two significant figures. ΑΣφ ? Submit Request Answer IIFigure 6 m/s 3 m/s 2 1 Part E What is the speed of ball 1 in a referece frame that moves with ball 2? V₁ = 跖 ΜΕ ΑΣΦ Submit Request Answer Part F ? m/s What is the direction of ball 1 in a referece frame that moves with ball 2? left O right ○ the ball is at rest Submit Request Answer Part G Complete previous part(s) Part H Complete previous part(s) Provide FeedbackEarth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54 × 107 light-years from Earth. If the lifetime of a human is taken to be 85.0 years, a spaceship would need to achieve some minimum speed Umin to deliver a living human being to this galaxy. How close to the speed of light would this minimum speed be? Express your answer as the difference between Umin and the speed of light c. C- Umin = m/s
- Needs Complete typed solution with 100 % accuracy.A particle is created in the upper atmosphere; 18km above the surfaceof the Earth as measured by someone on the ground. The particle travelstowards Earth’s surface at a speed of 0.95c as measured by someone on theground. The particle travels for a time period 2.0 × 10−5s as measured inthe particle’s rest frame. The question is attached as an image and the correct answer is A, could someone please explain why this isAnswer part D and E.