Question

1. You and your twin just born, and your Dad decided to take you on a...

1. You and your twin just born, and your Dad decided to take you on a trip to show you a planet X. Your starship passes Earth with a relative speed of 0.999 c and maintains the same speed for the entire trip. After traveling 1 year (your time), you and your Dad stop at planet X, turn and then travel back to Earth with the same relative speed (assuming you and your Dad can stop and go like star-track without losing much time). The trip back to Earth takes another year (your time), (a) What is the value of the Lorentz factor γ? (b) How long does the round trip take according to you? (c) How long does the round trip take according to measurement made on Earth by your mother? (d) How old is your twin when you get back on Earth? Which twin is older?

Science   Physics   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

A. The Lorentz factor = 1/ sqrt( 1- v^2/c^2 ) = 1/sqrt ( 1- 0.999^2) =22.37

B. Acoording to the person in startship the time is 2 years as stated in the question also the time spent on the star is negligible compared to the total time is its 2 years for the round trip.

C. Using Time dilation relationship t in moving frame= t on earth /lorentz factor

so the time taken for the trip from the earth t on earth = 22.37*2= 44.73 years

d. So when you return you are two years old while your twin on earth is 44.73 years old. So the kid on Earth is older.

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
On your first trip to Planet X you happen to take along a 260 g mass,...
On your first trip to Planet X you happen to take along a 260 g mass, a 40-cm-long spring, a meter stick, and a stopwatch. You're curious about the acceleration due to gravity on Planet X, where ordinary tasks seem easier than on earth, but you can't find this information in your Visitor's Guide. One night you suspend the spring from the ceiling in your room and hang the mass from it. You find that the mass stretches the spring...
<Elementary Physics> Look up the “twin paradox” and answer the following questions: Imagine one of your...
<Elementary Physics> Look up the “twin paradox” and answer the following questions: Imagine one of your friends is a flight attendant and spends five years flying around in jet planes. By how much will your friend’s age be different than it would have been if the friend had spent that time hanging out at home. Older or younger? Now imagine the same but for a friend who is on the International Space Station for five years? (In detail this question...
Sam is on a spaceship that travels from Earth to Proxima Centauri at 70% the speed...
Sam is on a spaceship that travels from Earth to Proxima Centauri at 70% the speed of light, or 0.7c, relative to Earth. Erma is an observer on Earth. From Sam's perspective, 1.35 x 108 seconds passed between when the Earth was near him and when Proxima Centauri is near him First we consider velocity and time: How fast in m/s is Sam moving as measured in the rest frame of the rocket? How fast in m/s is Erma moving...
Questions: 1. What is the distinction between “speed” and “Velocity”? Describe. 2. What is the relationship...
Questions: 1. What is the distinction between “speed” and “Velocity”? Describe. 2. What is the relationship between velocity and acceleration? How does the velocity and acceleration of a free falling object change with time? Problems: The distance between the moon and earth is about 3.8x108 How long it will take for a laser beam of light to travel from earth to moon and back to the earth (round-trip)? Note: laser is traveling at speed of light. 2. A car can...
In year 2050 Elon Musk’s dream about the relativistic Hyperloop transportation system becomes true. The hyperloop...
In year 2050 Elon Musk’s dream about the relativistic Hyperloop transportation system becomes true. The hyperloop car with an atomic clock on board flies from San Francisco to New York – a distance of 5000 km at a steady speed of 2500 m/s. [a] (2 pts) How much time does the trip take, as measured by an observer on the ground using an atomic clock identical to the one on the hyperloop car? [b] (2 pts) According to the clock...
1.)You are hitting baseballs. When you toss the ball into the air, your hand is 5...
1.)You are hitting baseballs. When you toss the ball into the air, your hand is 5 feet above the ground (see figure). You hit the ball when it falls back to a height of 3.5 feet. You toss the ball with an initial velocity of 20 feet per second. The height h of the ball t seconds after leaving your hand is given by h = 5 + 20t ? 16t2. How much time will pass before you hit the...
show all work please Suppose you have decided to start saving money to take a long-awaited...
show all work please Suppose you have decided to start saving money to take a long-awaited family vacation in Northern Brazil, which you want to take 5 years from today. You estimate the amount you will have to pay at that time will be $10,000. The savings account you established for your trip offers 5% per annum interest compounded quarterly. How much will you have to deposit each year if your first deposit is made 1 year from today and...
1. While enter a highway, a car accelrates from 15.m/s to 32.0m/s at a rate of...
1. While enter a highway, a car accelrates from 15.m/s to 32.0m/s at a rate of 2.90m/s^2. a. how far did the car travel while accelerating? b. how long did it take the car to accelerate from 15.0m/s to 32.0m/s^2 2.Using Newton's law of gravity, calculate the weight of a 90.0kg astronaut standing on the surface of a planet that has the same mass as the earth, but only half the radius of the Earth. 3. a 3,00kg pickup truck...
For each questions, please show me all your work and explain the answer. 1. A rocket...
For each questions, please show me all your work and explain the answer. 1. A rocket is moving at 1/4 c relative to Earth. At the center of this rocket, a light source suddenly flashes. To an observer at rest in the rocket a. the light pulse will reach the front of the rocket at the same instant that it reaches the back of the rocket. b. the light pulse will reach the front of the rocket before it reaches...
In order to get full credit, you need to show all your work. A ball is...
In order to get full credit, you need to show all your work. A ball is launched from the top of a 60 m high building with an initial speed v0 at an angle 40° above the horizontal (close to the surface of Earth). Air resistance is negligible during the motion of the ball. On the coordinate system shown with origin on the ground, draw the path of the ball, the initial velocity vector, and its vector components. Then find...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT