Suppose we want to send an astronaut on a round trip to visit a star that is 200 light- years distant and at rest with respect to Earth. The life support systems on the spacecraft enable the astronaut to survive at most 20 years. (a) At what speed must the astronaut travel to make the round trip in 20 years of spacecraft time? (b) Howmuch time passes on Earth during the round trip?

Q: What must be the speed of an electron for its relativistic kinetic energy to be equal to its rest…

A: The relativistic kinetic energy (KE) of the electron is equal to the rest energy (E).

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

A:

Q: A spaceship flies past you and you measure its length to be 99 m. If you know its rest length is 193…

A:

Q: The elementary particle called a muon is unstable and decays in about 2.20μs, as observed in its…

A:

Q: If a spaceship, approaching the Earth at 0.190c, sends a message capsule toward the Earth at 0.390c…

A:

Q: Two spaceships, each 100 m long when measured at rest, travel toward each other with speeds of 0.85c…

A:

Q: At what speed, as a fraction of c, will a moving rod have a length 60% that of an identical rod at…

A:

Q: The premise of the Planet of the Apes movies and book is that hibernating astronauts travel far into…

A: The Lorentz factor here is,

Q: Observers in reference frame S see an explosion located at x1= 480 m. Asecond explosion occurs 5μs…

A:

Q: If a spaceship is approaching the Earth at 0.100c and a message capsule is sent toward it at 0.100c…

A: Speed of the capsule relative to the ship using velocity addition theorem.

Q: ay from Earth? (b)To what frequency must Earth receivers be tuned to receive the report when the…

A:

Q: Suppose an astronaut is moving relative to the Earth at a significant fraction of the speed of…

A: The astronaut is moving relative to the earth. So, the earth is also moving relative to the…

Q: How fast must an object travel for its total energy to be 50% more than its rest energy?

A: Given Data:- Total energy of the object is 50%  more than its rest energy. Required:- Speed of the…

Q: How far from the earth would you be able to travel in a lifetime of 82 years if you were able to…

A:

Q: Inertial frame S' moves at a speed of 0.60c with respect toframe S. Further, x = x' = 0 at t = t' =…

A:

Q: A particle travels at 1.90×108 m/s and lives 2.10×10−8 s when at rest relative to an observer. How…

A:

Q: In an Earth reference frame, a star is 49 light-yearsaway. How fast would you have to travel so that…

A: If particle or an object travel at relativistic speed its length contraction occurs. Formula of…

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: The cosmic rays of highest energy are protons that have kinetic energy on the order of 1013 Mev. (a)…

A: Given: Kinetic energy of proton = 1013MeV = 1.6×10-6MJ = 1.6 J Diameter of Galaxy, d = 7.80×104ly

Q: A spaceship, moving away from Earth at a speed of 0.900c, reports back by transmitting at a…

A:

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

A:

Q: Suppose you are planning a trip in which a spacecraft is to travel at a constant velocity for…

A: Given : to = 1 year  t = 76 years

Q: How far from the earth would you be able to travel in a lifetime of 88 years if you were able to…

A:

Q: A ground observer made a measurement on a wooden box and the length was found to be 2.3 m. At what…

A:

Q: Recall, from this chapter, that the factor gamma (γ) governs both time dilation and length…

A:

Q: In the Marvel comics universe, Quicksilver is awfully fast. Let's say he can run-at a velocity of…

A: velocity (v) = 0.56 c distance of trip according to Quicksilver (Lo) = 4.19×105 m

Q: Consider a space shuttle traveling at 8 × 103 m/s above the earth. How much time per day is an…

A: Given: velocity 'v' of the space shuttle = 8 x 103 m/s

Q: The spaceship Lilac, based on the Purple Planet, is779 m long when measured at rest. When the Lilac…

A: The Lilac is moving at speed of 0.369c wit respect to Earth.

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

A: Speed of the shuttle is v = 0.90c Length of the shuttle is lo = 100 m

Q: If the kinetic energy of a particle is equal to its rest energy then what must be its speed?

A: Given ,        the kinetic energy of a particle equals to its rest energy                speed (v)…

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: An astronaut inside a spacecraft moving at 0.89c measure the length of the ship as being 100 m. How…

A:

Q: A newly constructed spaceship has a length of 100.0 m (as measured in the rest frame). This…

A: length of spaceship = 100 m D = 50 light years v =0.9 c

Q: what should the speed of β relative to turn be?

A: //

Q: The positive muon (?+), an unstable particle, lives on average 2.20?10−16 ? (measured in its own…

A: Given: A positivive mu+ Time ∆to = 2.20 × 10-16 s u = 0.900c To determine: Average lifetime and…

Q: A projectile was launched from a certain location on earth and landed a certain distance away. An…

A:

Relativistic Energy and Momentum

According to classical physics, time flow is the same for every observer. But according to einstein's theory, time flow is different for different observers. The idea that time flow is not the same for all may sound strange because we may not experience this effect in everyday life. This effect is only observed when an object moves with some velocity comparable to the velocity of light. This velocity is termed relativistic velocity.