Chapter 37, Problem 012 The length of a spaceship is measured to be exactly 1/2 its rest length. (a) What is the speed parameter B of the spaceship relative to the observer's frame? (b) By what integer factor do the spaceship's clocks run slow, compared to clocks in the observer's frame? (a) Number Units (b) Number |Units
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Q: Suppose a space vehicle with a rest mass of 150 000 kg travels past the International Space Station…
A: We use relativistic mechanics to solve these problems
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- Chapter 37, Problem 023 A clock moves along the x axis at « a speed of 0.651c and reads zero as it passes the origin. (a) Calculate the clock's Lorentz factor. (b) What time does the clock read as it passes x = 270 m? (a) Number Units (b) Number UnitsA particle detector can be used to measure the speed of an unstable particle if the lifetime is known. Particle 'X' has mean lifetime 7 in its rest frame. Suppose 'X' particles are created in an experiment inside the detector by a nuclear reaction. If the 'X' particles leave tracks with mean length L before they decay into other particles, what is the mean speed of the 'X' particles? Express the answer in terms of the speed of light. T = 282.0 ps; L= 10.5 cm;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
- The length of a moving spaceship is 27.4 m according to an astronaut on the spaceship. If the spaceship is contracted by 16.4 cm according to an Earth observer, what is the speed of the spaceship? c3. Two spaceships are traveling with a relative velocity of 2.05 x 10^8 m/s. Both carry identical clocks. According to the captain of each ship, the other captain s clock ticks more slowly than his own. By what factor do the two clocks disagree? 2.33 2.47 1.37 1.64Figure 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 Feedback
- What are (a) the kinetic energy, (b) the rest energy, and (c) the total energy of a 1.2 g particle with a speed of 0.80 c ? Part A Express your answer using two significant figures. ΜΕ ΑΣΦ Ekinetic=263 Submit Previous Answers Request Answer × Incorrect; Try Again; 5 attempts remaining Part B Express your answer using two significant figures. ΜΕ ΑΣΦ Erest = Submit Request Answer Part C Express your answer using two significant figures. ΜΕ ΑΣΦ Etotal = Submit Request Answer ? ? ? J J Ja) Given a = (7, −6, 4) and b = (3, 8, −1), find a ·b and a ×b.b) A (100 m) long spaceship is travelling at 90% the speed of light. How long is the spaceship as measuredby a stationary observer?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? C
- Suppose a space vehicle with a rest mass of 150 000 kg travels past the International Space Station at a constant speed of 2.6 x 108 m/s with respect to the I.S.S. When an observer on the I.S.S. measures the moving vehicle, her measurement of the space vehicle length is 25.0 m. a) Determine the relativistic mass of the space vehicle. b) Determine the length of the space vehicle as measured by an astronaut on the space vehicle.A particle has a rest mass of 6.35 × 10¯ kg and a momentum of 5.39 × 10-¹8 kg.m/s. Determine the total relativistic energy E of the particle. 1.67 ×10-⁹ E = Incorrect Find the ratio of the particle's relativistic kinetic energy K to its rest energy Erest. K 1.93 Erest || Incorrect1. You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c. (a)What is the proper length of the spacecraft? (b) For a proper time interval of 1 sec., the relativistic time interval for the spacecraft measured from the earth reference frame would be: (c)Time dilation does not apply to all time-dependent physical and biological processes. T/F? (c) What is the relativistic length, DL measured from the reference frame of earth? (d) An APOLLO crew left a flat mirror reflector on the surface of the moon (for all you deniers out there, in the 50th anniversary year of APOLLO 11!). If the average surface-to-surface distance from the earth to the moon is 3.83 x 10^8 m, then how long does it take moonlight to reach earth?