The premise of the Planet of the Apes movies and book is that hibernating astronauts travel far into Earth’s future, to a time when human civilization has been replaced by an ape civilization. Considering only special relativity, determine how far into Earth’s future the astronauts would travel if they slept for 120 y while traveling relative to Earth with a speed of 0.9990c, first outward from Earth and then back again.

Q: Sam leaves Venus in a spaceship headed to Mars and passes Sally, who is on Earth, with a relative…

A: a) As the departure of Sam and Sally from Venus and the arrival at Mars id happening at the same…

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

A: Given that :v=0.94 ct=1.525 μs

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

A: Given: Length of the spacecraft as per observer (you) is 100 m Speed 'v' = 0.8 c

Q: A pion is an unstable particle that has an average lifetime of 2.55 x 10$ s. This is the time…

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Q: A supertrain of proper length 94 m travels at a speed of 0.93c as it passes through a tunnel having…

A: The Lorentz transformation is the contraction of length l of any object with respect to the moving…

Q: A space shuttle passes over the Earth at v = 0.90c speed. If the length of space shuttle observed by…

A: Proper length = L∘=100 m Speed = v = 0.9  Say length observed from earth is L The formula used will…

Q: A space traveler takes off from Earth and moves at speed 0.9900c toward the star Vega, which is…

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Q: A muon is created 70 km above the surface of the earth. In the earth's frame, the muon is traveling…

A: (A)   The time elapses between the muon’s creation and the time it reaches the surface, that is, the…

Q: A space traveler takes off from Earth and moves at speed 0.9700c toward the star Vega, which is…

A: in this question  we use simple space motion equation  and get answer.

Q: An alarm clock is set to sound in 10.0 h. At t 5 0, the clock is placed in a spaceship moving with a…

A: Velocity relative to the earth (v) = 0.75c.Alarm set to sound at = 10.0 h.At 5.0 h the alarm clock…

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: An alarm clock is set to sound in 10 h. At t = 0, the clock is placed in a spaceship moving with a…

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Q: Our spacecraft is passing the Earth at a speed of 0.9c. Then after traveling for 10 years, we make a…

A:

Q: A muon is created 60 km above the surface of the earth. In the earth’s frame, the muon is traveling…

A: a. t=dv=60×103 m0.9999×3×108 ms=2.0002×10-4s b. ∆tmuon=∆tearth1-vc2            =2.0002×10-4…

Q: A spaceship whose rest length is 490 m has a speed of 0.88c with respect to a certain reference…

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Q: How far from the earth would you be able to travel in a lifetime of 74 years if you were able to…

A:

Q: How far from the earth would you be able to travel in a lifetime of 75 years if you were able to…

A: Given:lifetime, ∆t0 = 75 yrsspeed, v = 0.62 c

Q: A supertrain of proper length 100 m travels at a speed of 0.95c as it passes through a tunnel having…

A:

Q: In 1986, Kristin Otto set a world’s record for the 100-m freestyle. Suppose that this race had been…

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Q: An astronaut in a rocket moving at 0.50c toward the sun finds himself halfway between the Earth and…

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Q: In 1985 the space shuttle Challenger flew a cesium clock and compared its time with a fixed clock…

A: v = 7712 m/sc = 3×108 m/sβ = 77123×108β = 2.57×10-5

Q: At a speed of 0.90c, a spaceship travels to a star that is 9.0 ly distant.a. According to a…

A: Dear student, this question contains more than three sub-parts. As per guide lines we will answer…

Q: An astronaut takes a light emitting beacon in a spaceship travelling at 0.87 c away from a…

A: Time dilation is the slowing down of a clock for an observer in relative motion w.r.t. to a…

Q: An astronaut exercising on a treadmill maintains a pulse rate of 150 per minute. If he exercises for…

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Q: a) Galactus tries to destroy the Earth by stopping the Moon in its orbit. What effect would this…

A: According to special theory of relativity, the time measured by moving objects is lees than…

Q: If two spaceships are heading directly towards each other at 0.800c , at what speed must a canister…

A: Given information: Here v is the speed of each spaceship S1 and S2, and ux’ is the speed of the…

Q: A muon travels 60 km through the atmosphere at a speed of 0.9997c. According to the muon, how thick…

A: Given data The initial length is Lo=60 km The speed of muon is v=0.9997c The thickness of the…

Q: A space cowboy wants to eject from his spacecraft 100,000 km after passing a space buoy, as seen by…

A: Given: The distance covered is 100000 km. The speed is 0.300 c.

Q: Answering an emergency beacon, Captain Jack leaves the Earth on a rescue mission at 0.60c, arriving…

A: Given data: -  The speed at which Captain Jack leaves the earth is v = 0.60c. The arrival time at…

Q: What are the kinetic energy, the rest energy, and the total energy of a 1.0 g particle with a speed…

A: The mass of rhe particle is m=1.0 g×1 kg1000 g=0.001 kg. The speed of the particle is…

Q: 1. Assuming that you are moving with a constant speed of 0.55c when you passed by a man on the…

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Q: How far from the earth would you be able to travel in a lifetime of 76 years if you were able to…

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Q: A spaceship carrying a light clock moves at a speed of 0.6c relative to an observer on Earth. If the…

A: Given data The speed of the spaceship is given as v = 0.6c. The time advances by the ship on the…

Q: A tracking station on Earth observes a rocket move away at 0.370c. This rocket is designed to launch…

A:

Q: The control panel on a spaceship contains a light that blinks every 2.76 s as observed by an…

A: Given data: Speed of the spaceship, v=0.693c