You and a friend pass each other in spaceships that are each traveling 0.61c relative to the other. Your friend takes a nap and you decide to time how long your friend's nap takes. In your frame, your friend's nap takes 1.9 h. How long was your friend's nap in their frame?  And unbeknownst to you, another person on your friend's ship saw you timing your friend's nap and decided to time how long you were timing your friend's nap. In that person's frame (which is the same as your friend's frame), how long were you timing your friend's nap? = _____   = ______

Q: Suppose a rocket starts from rest on Earth (frame S) and accelerates at a rate of 1000 m/sec² (as…

A: To solve this problem, we can use the principles of special relativity. We can start by calculating…

Q: a. You and a friend pass each other in spaceships that are each traveling 0.77c relative to the…

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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: Two space ships are traveling towards each other at high speeds. A space station has two beacons,…

A: Given:for stationary observer on station, location of beacons, Lo = 50 km = 50×103 mFor space ship…

Q: You are on a spacecraft traveling away from the earth at 0.80 c�. A beacon on earth flashes exactly…

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Q: An astronaut travels away from the earth at v=0.8c. if one hour ticks off on the astronaut's clock,…

A: The problem is absed on the conept of time dilation. Time dilation occurs only when an object…

Q: You are standing still on a spacecraft that is traveling toward the Sun at 0.25c. a) How fast are…

A: a)Imagine that you are in a open spaceship(Try to visualize the situation). Now you are standing…

Q: A spaceship travels to a distant star at relativistic speed. As measured by observers on Earth, the…

A: The velocity of spaceship is, v=dt=1.5 ly9.461×1015 m1 ly1.8 yr3.154×107 s1 yr=14.1915×1015…

Q: You and your secret celebrity crush pass each other in rockets that are each traveling 0.83c…

A: Consider my frame as frame S, and the celebrity's frame as frame S'. S' is moving with velocity,…

Q: 4. You are one of two identical twins and you decide that you want to be 9.00 years younger than…

A: (a) Let A and B be defined as the twin brothers. Let A is the one, who is on the earth. And B…

Q: How much time did Carl spend on his calculation?

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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: 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 very fast-moving train car passes you, moving to the right at 0.50c�. You measure its length to be…

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Q: Two spaceships are traveling with a relative velocity of 2.09 x 10^8 m/s. Both carry identical…

A: Given that,Relative velocity of spaceships,v=2.09×108 m/soriginal time is 't'dilated time is…

Q: A spaceship whose rest length is 272 m has a speed of 0.82c with respect to a certain reference…

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Q: You are on a spacecraft traveling away from the earth at 0.75 c�. A beacon on earth flashes exactly…

A: Step 1: spacecraft would travel distance of 0.75c before receiving the next flash.  Step 2: Light…

Q: Two rockets are each 1800 m long in their rest frame. Rocket Orion, traveling at 0.80c relative to…

A: Let S be the earth's frame and S' be the rocket Sirius's reference frame.  S' moves relative to S…

Q: These questions refer to identical spaceships that you and your friend are using. The ships are…

A: The solution of the problems is given below

Q: wnst to you, your secret celebrity crush's agent is onboard the celebrity's rocket and saw you…

A: Answer

Q: The distance from earth to the center of our galaxy is about 33,000 ly (1 ly = 1 light year = 9.47 x…

A: 1 ly = 9.47 x 1015 m 1 yr = 3.16 x 107 s L0 = distance between earth and center of galaxy = 33,000…

Q: A spaceship travels at a constant speed from earth to a planet orbiting another star. When the…

A: Time taken by the spaceship to reach the planet as measured by an observer on earth ( t ) = 14 y…

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

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Q: An alien spaceship has a mass ofm= 3.2×109kg, and according to the crew, onboard the bow-to-stern…

A: mass of spaceship (m) = 3.2×109 kg Length measured onboard (Lo) = 680 m Length measured by…

Q: As you pilot your space utility vehicle at a constant speed toward the moon, a race pilot flies past…

A: Relative Speed of the race pilot is v = 0.830c  d = 1.13×10⁸ m

Q: In its own frame of reference, an object has a mass of 9.2 kg. If it moves past you at a speed of…

A: The problem is based on the concept of relativity. To be specific the problem is based on the…

Q: Two spaceships are moving away from Earth in opposite directions, one at 0.83*c, and one at 0.83*c…

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Q: 4. a) Answer both of the following questions regarding Special Relativity: An astronaut leaves their…

A: We are given speed of astronaut.  We are given time as on earth. We apply concept of time dilation…

Q: Twins who are 19.0 years of age leave the earth and travel to a distant planet 12.0 light-years…

A: GIVEN: Age of both twins=19 yrs distance d =12 ly speed of one boy v1 =0.905c speed of another boy…

Q: 1. Pam is inside a rocket ship flying at a speed of 2.4 x 10^8 m/s relative to Earth. The moment…

A: Note : We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: A spaceship leaves Earth traveling at 0.60 c. A second spaceship leaves the first at a speed of 0.90…

A: Spaceship leaves earth at speed, v=0.60 cSecond spaceship moving relative to first, u'=0.90cSpeed of…

Q: Two friends, Sungyoung and Azhar are initially 10 years old. While Azhar remains on Earth, Sungyoung…

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Q: A very fast-moving train car passes you, moving to the right at 0.50c. You measure its length to be…

A: Given data: Speed of train, u=0.50c length measured by you, l=12 m speed of David, v=0.80c let the…

Q: David is 30 years old, and his sister Alexis is 25 years old, when David leaves to travel to planet…

A: The  time dilation is the difference in the elapsed time as measured by two clocks.

Q: You and your secret celebrity crush pass each other in rockets that are each traveling 0.56c…

A: Let our frame be S and the celebrity crush frame be S'. S' is moving with a velocity 0.56 c with…

Q: Figure 1a, a cosmonaut measures the tim interval Ato between successive ticks of his clock. In…

A: Time interval between successive ticks as seen by the astronaut in the spaceship in his clock,…

Q: You are standing still on a spacecraft that is traveling toward the Sun and 0.25c.  1- How fast are…

A: The time taken by the light of speed c from the sun to reach the earth is to=500 s so the time is…

Q: Rocket A passes Earth at a speed of 0.79c. At the same time, rocket B passes Earth moving 0.94c…

A: Given :    velocity of rocket A, VA  = 0.79 c    velocity of rocket B , VB = 0.94 c

Q: A group of astronauts travel to a nearby star system and back to earth at a velocity of 0.98c (98%…

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Q: You are an observer in a 100-m long spacecraft traveling from the earth to the moon at 0.8c.…

A: Observer measure the length of the spacecraft,   It is left measure by observer according to whom…