An astronaut takes what he measures to a be a 10-minute nap in a space station orbiting Earth at 8000 m/s. A signal is sent from the station to earth at the instant he falls asleep, and a second signal is sent to Earth the instant he wakes. Does an observer on Earth measure the astronaut’s nap as being shorter than, longer than, or equal to 10 min?

Q: An object has a proper length of 10m. It is moving at 45% of the speed of light. What is its length…

A: According to the theory of relativity, an object in motion will appear shorter to an observer who is…

Q: Because of the earth’s rotation, a person living on top of a mountain moves at a faster speed than…

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Q: Planet A is 1.43 × 1012 m from Planet B in the solar system. A rocket travels from Planet B to…

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Q: A space explorer travels between asteroids that are 100 000 m apart. His/her space probe travels…

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Q: Earth's neighboring galaxy, the Andromeda Galaxy, is a distance of 2.54×107 light-years from Earth.…

A: Given, Distance, d = 2.54×107 light years  Time taken, t = 70 years

Q: A futuristic spaceship flies past MARS with a speed of 0.65c relative to the surface of MARS. Inside…

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Q: The control panel on a spaceship contains a light that blinks every 2.71 s as observed by an…

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Q: While a balloon-supported gondola is rising at a speed of 2.0 m/s, a passenger in the gondola throws…

A: Given Velocity of  gondola w.r.t ground          VgG  = 2.0 m/s   ............ upward Velocity of…

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

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Q: A spaceship is moving between two planets at a speed v =0.8c. Take the two planets to be at rest…

A: Given, speed (v) = 0.8c where c = 3 x 108 m/s             time (t) = 15 years…

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: An electron in a particle accelerator has a total energy that is 498 times its rest energy. What is…

A: Given that:- Total energy of electron is equal to 498 times the rest energy of electron.

Q: A particle has a rest mass of 6.95×10−276.95×10−27 kg and a momentum of 5.07×10−18 kg·m/s.5.07×10−18…

A: The relativistic energy of a particle in terms of momentum and rest mass can be expressed as,…

Q: According to the special theory of relativity, which of the following happens to the length of an…

A: Object would seem to increase in velocity from this frame of reference:

Q: The Global Positioning System (GPS) relies on very accurate atomic clocks aboard a network of 24…

A: Required :  If the GPS satellites have to take into account the special relativistic effects.

Q: What is the discrepancy (according to an observer on the surface of the Earth), due to the general…

A: The period of 1 day can be converted into seconds as below,

Q: As observed on earth, a certain type of bacteria is known to double in number every 24 hours. Two…

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Q: The rest energy E of an object with rest mass m is given by Einstein's famous equation E = mc²,…

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

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Q: A Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes…

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

A: ACCORDING TO QUETION - Time taken by the spaceship to reach the planet as measured by an observer on…

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 particle with a mass M = 8.2 MeV/c² and 50.84 MeV/c at rest decays into two particles. The first…

A: Step 1: Step 2: Step 3: Step 4:Step 5:Step 6:Step 7:

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: In a science fiction novel, a starship takes three days to travel between two distant space stations…

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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: A Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes…

A: GivenA Martian leaves Mars in a spaceship that is heading to Venus. On the way, the spaceship passes…

Q: An alien spaceship travels at v=0.999c-299482km/s (where 'c' is the speed of light equal to 299782…

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Q: The mass of an electron is 9.109 381 88 x 10-31kg. Find (a) y and (b) 3 for an electron with kinetic…

A: Given that, Mass of electron, m = 9.10938188 * 10-31 kg Kinetic energy, E = 32.1024 MeV We know…