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 Part B What will be its height at rest? ho= 2.61 Part C Previous Answers [15] ΑΣΦΑ Submit Previous Answers Request Answer Submit Part D X Incorrect; Try Again; 4 attempts remaining 6 Part E How many seconds elapsed on your friend's watch when 23.0 s passed on yours? Δto = 14.1 s Submit Ato= Previous Answers → ✓ Correct Important: If you use this answer in later parts, use the full unrounded value in your calculations. IVE ΑΣΦ 3 [w] How fast did you appear to be traveling according to your friend? Request Answer ? IVE ΑΣΦ 6 m C PAC ? How many seconds elapsed on your watch when she saw 23.0 s pass on hers? • ?

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 Part B What will be its height at rest? ho= 2.61 Part C Previous Answers [15] ΑΣΦΑ Submit Previous Answers Request Answer Submit Part D X Incorrect; Try Again; 4 attempts remaining 6 Part E How many seconds elapsed on your friend's watch when 23.0 s passed on yours? Δto = 14.1 s Submit Ato= Previous Answers → ✓ Correct Important: If you use this answer in later parts, use the full unrounded value in your calculations. IVE ΑΣΦ 3 [w] How fast did you appear to be traveling according to your friend? Request Answer ? IVE ΑΣΦ 6 m C PAC ? How many seconds elapsed on your watch when she saw 23.0 s pass on hers? • ?

College Physics

11th Edition

ISBN:9781305952300

Author:Raymond A. Serway, Chris Vuille

Publisher:Raymond A. Serway, Chris Vuille

Chapter1: Units, Trigonometry. And Vectors

Section: Chapter Questions

Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...

See similar textbooks

Related questions

Q: A person on earth notices a rocket approaching from the right at a speed of 0.71c and another rocket…

A: According to special relativity, the relative velocity between the two rockets as measured by a…

Q: Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2 taken to be 75.0 years, a…

A: Givento=2.54×107 light yeart=75 years

Q: An electron moves to the right with a speed of 0.85c relative to the laboratory frame. A proton…

A: Given:- An electron moves to the right with a speed of vel= 0.85 c relative to the laboratory…

Q: A spaceship leaves Earth traveling 0.65c. A second spaceship leaves the first a a speed of 0.92c…

A: A spaceship leaves Earth traveling at the speed of 0.65c. The second spaceship leaves the first at…

Q: 10. If an astronaut who has only aged 3 years returns to Earth 15 years later, how fast was his ship…

Q: One of the primary goals of the Kepler space telescope is to search for earth like planets. Data…

A: When bodies travel at relativistic speeds, phenomenon, such as time dilation and length…

Q: A 500 ft long spaceship with a mass of slugs is traveling at .8 c towards a distant star system 4…

A: (a) Time t° = 3years (b) length L= 833 ft

Q: A high speed particle enters a medium and travels 7.8 mm before it decays. If the particle was…

Q: A spaceship, 230 m long as seen on board, moves by the Earth at 0.936c. What is its length (in m) as…

Q: A muon is zipping through your lab, moving at 2.08x108 m/s. In its frame, it has a lifetime of 29…

A: Given that:v=2.08×108 m/sTo=20 μs (proper time)

Q: A rocket traveling at speed v = 0.74c with respect to Earth launches a space probe at speed 5 =…

A: Velocity of rocket with respect to the earth = 0.74c means Vr - Ve = 0.74c ........eq1 where Vr…

Q: A particle moves along the x' axis of frame S' with velocity 0.43c. Frame S' moves with velocity…

A: Hey dear using the relative velocity formula we can easily solve this. And sorry for this writing,I…

Q: Part B What would be the momentum of this proton? Express your answer with the appropriate units. ?…

Q: A spaceship leaves Earth traveling at 0.70c. A second spaceship leaves the first at a speed of 0.90c…

Q: Two rockets, A and B, approach the earth from opposite directions at speed 0.700 c. The length of…

A: Please see the attached image for the solution. If there are queries or if the image is not…

Q: A neutral -meson is a particle that can be created by accelerator beams. If one such particle lives…

Q: Suppose a cosmic ray colliding with a nucleus in the Earth's upper atmosphere produces a muon that…

Q: An astronaut flies off in a ship away from the earth at 0.78c and leaves her husband at home.Which…

A: When an object moves with a speed close to the speed of light, then the time of that object runs…

Q: one time each second. You are on Earth and observing a clock on a spacecraft; the spacecraft is…

A: Special theory of Relativity indicates that, for an observer in an inertial frame of reference, a…

Q: A spaceship travels at 0.704c relative to Earth. If the spaceship fires a small rocket in the…

Q: A spaceship whose rest length is 406 m has a speed of 0.83c with respect to a certain reference…

A: Given: The rest length of spaceship is L=406 m. The speed of spaceship relative to reference frame…

Q: A rod lies parallel to the x-axis of a stationary frame. It is moving on a frame along this axis at…

A: v= 0.632c L= 1.68m A) length is measured by Newton's special relativity laws

Q: Your friend waves as she flies by you in her rocket. You measure her speed to be .89 c. She measures…

A: Required : Speed measured by the friend.

Q: Which of the following statements are IMPOSSIBLE? Choose all that apply. The rocket's speed was…

A: The statement "The rocket's speed was measured to be 1.04c" is impossible, as the speed of an object…

Q: A rod of length Lo is at rest in the S' reference frame, and creating an angle of 45° from the…

A: Length of rod in the S' frame = L0Length of rod in the S frame = Langle between the rod and the…

Q: The proper length of one spaceship is three times that of another. The two spaceships are traveling…

A: Consider The proper length of slower spaceship is "L" The proper length of faster spaceship "3L"The…

Q: Problem A new particle, the aarnion, has just been discovered! Careful measurements show that the…

Q: A rocket is moving at 0.7c. m= mssiles a) According to an observer on the rocket it launches a…

A: Let u denotes the speed of the missile in the earth frame, v denotes the speed of the rocket in the…

Q: R2T.4 Suppose you are sitting at the origin of an inertial reference frame. You see (that is, you…

A: Given, The event "E" occuring near a clock at x = -30 ns. The event occurs at the time (t) = 80 ns.…

Q: A meterstick moving at 0.21c relative to the Earth's surface approaches an observer at rest with…

Q: If you were on a spaceship moving away from the Earth at 0.85c would you observe any change in your…

A: Solution: Given data, a spaceship moving away from the Earth at 0.85c

Q: stronomer David observes that a distant quasar is receding from the Earth at a speed of 0.80c. He…

Q: Problem A A woman on a rocket traveling at 0.68c (with respect to Earth) observes a meteor come from…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: A spaceship, 200 m long as seen on board, moves by the Earth at 0.942c. What is its length (in m) as…

Q: A spaceship leaves Earth traveling at 0.70c. A second spaceship leaves the first at a speed of 0.90c…

Q: Two spaceships are moving along the line connecting them. One of the spaceships shoots a missile…

A: The expression for the relativistic velocity addition is given as u=v+u'1+vu'c2 where v is the…

Q: Sales delay is the elapsed time between the manufacture of a product and its sale. According an…

A: Dear student, As per guidelines, I can only first 3 subparts. Please repost other parts in next…

Q: A proton moves at .25c. What is it's momentum? Choose the best answer. Question 16 options:…

A: "A proton is a subatomic particle that is found in the nucleus of an atom. It is one of the three…

Q: Problem D In a nuclear reaction two identical particles are created, traveling in opposite…

Q: A rocket cruising past earth at 0.800c shoots a bullet out the back door, opposite the rocket's…

A: Given that, The velocity of the rocket, v=0.8 c The velocity of the bullet, u=−0.9 c We know that…

Q: Frame S'has a speed v = 0.6c relative to S in x direction which is parallel to x'. The clocks on S…

Q: A particle has a rest mass of 7.15×10−27 kg and a momentum of 5.75×10−18 kg·m/s. Determine the total…

Concept explainers

Proper Length

The theory of special relativity explains the connection between space and time to objects that move in a straight line at a constant speed. The objects move at the speed of light. When an object approaches light speed, its mass is endless and cannot move faster than light. The most crucial postulate of Einstein's special relativity is that the laws of nature do not change in each frame of reference.

Question

### Relativity Problem: Spacecraft and Observers

A friend speeds by you in her spacecraft at a speed of 0.790c. It is measured in your frame to be 4.60 m long and 1.60 m high.

#### Part A
**Question:** What will be its length at rest?

- **Answer:** \( L_0 = 7.50 \, \text{m} \)
- **Feedback:** Correct. (A previous incorrect answer, 7.49 m, was either rounded differently or used a different number of significant figures.)

#### Part B
**Question:** What will be its height at rest?

- **Attempted Answer:** \( h_0 = 2.61 \, \text{m} \)
- **Feedback:** Incorrect; try again. 4 attempts remaining.

#### Part C
**Question:** How many seconds elapsed on your friend’s watch when 23.0 s passed on yours?

- **Answer:** \( \Delta t' = 14.1 \, \text{s} \)
- **Feedback:** Correct. Important: if you use this answer in later parts, use the full unrounded value in calculations.

#### Part D
**Question:** How fast did you appear to be traveling according to your friend?

- **Answer Submission:** Input box available for answer submission.
- **Feedback:** Request Answer option available.

#### Part E
**Question:** How many seconds elapsed on your watch when she saw 23.0 s pass on hers?

- **Answer Submission:** Input box available for answer submission.
- **Feedback:** Request Answer option available.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Step 1: Determine the given data:

VIEW

Step 2: A) Calculate the rest length:

VIEW

Step 3: B) Calculate the height at rest:

VIEW

Step 4: C) Calculate the time elapsed in your friend's watch:

VIEW

Step 5: D) Calculate your speed relative to your friend:

VIEW

Step 6: E) Calculate time elapsed in your watch:

VIEW

Solution

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 7 steps with 7 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.

Similar questions

A spaceship travels from Mercury to Mars at a speed of 0.81c relative to the Earth. Assume Earth, Mars and Mercury don’t move relative to each other. The time of the trip as measured by an Earth observer is 700 seconds. W What is the distance between Mercury and Mars as measured by a passenger on the spaceship?
A neutron lives 900 s when at rest relative to an observer. How fast (as a fraction of the speed of light, c) is the neutron moving relative to an observer who measures its lifespan to be 2065 s? A. 0.938 c B. 0.965 c C. 0.982 c D. 0.910 c
Consider the inelastic collision. Two lumps of matter are moving directly toward each other. Each lump has a mass of 0.500 kg and is moving at a speed of 0.930c. The two lumps collide and stick together. Answer the questions, keeping in mind that relativistic effects cannot be neglected in this case. What is the final speed uf of the combined lump, expressed as a fraction of c? 1.27 Uf = C Incorrect What is the final mass me of the combined lump immediately after the collision, assuming that there has not yet been significant energy loss due to radiation or fragmentation? 2.70 mf = kg
A particle is moving at a speed of 0.925c and travels from one end of a 50 m long Physics lab to the other. How long is the lab if measured when moving with the particle? A. 132 m B. 19 m C. 16 m D. 50 m E. 149 m
The 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 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.
Newly sprouted sunflowers can grow at the rate of 0.30 in. per day. One such sunflower is left on Earth, and an identical one is placed on a spacecraft that is traveling away from Earth with a speed of 0.97 c. Part A How tall is the sunflower on the spacecraft when a person on Earth says his is 1.7 in. high? Express your answer using two significant figures. VE ΑΣΦ h = Submit = Previous Answers Request Answer ? X Incorrect; Try Again; 2 attempts remaining in. Review
A new particle, the aarnion, has just been discovered! Careful measurements show that the aarnion has an average lifetime (at rest) of 14 ns. In one experiment, an aarnion traveled 24 m (as viewed from the lab frame) before it decayed. A.) Determine the proper velocity of the aarnion. Assume it had an average lifetime in its own frame. W = B.) Determine the velocity of the aarnion. Assume it had an average lifetime in its own frame. V = XC
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 II
A particle moves along the x' axis of frame S' with velocity 0.39c. Frame S' moves with velocity 0.67c with respect to frame S. What is the speed of the particle with respect to frame S? Number i Units *C eTextbook and Media
An electron moves in a detector with a relativistic energy of 24 MeV. The electron takes 203.6 s to pass through the detector (measured in the detector frame of reference). In which frame of reference do we measure the proper time? A) The electron frame of reference B) None of these answers C) The detector's repository D) Always in the teacher's repository
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 J