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: Imagine the speed of light in another universe to be only 100 m/s. Two cars are traveling along an…

A: speed of person 1 is v1 = 110 km/h speed of person 2 is v2 = 140 km/h

Q: 4.4 Muon lifetime. The lifetime of a stationary muon is 2.2 microseconds. A beam of muons is…

A: The muon problem is an example of time dilation in action. Muons are subatomic particles that are…

Q: The kinetic energy of a deuteron is twelve times greater than its rest energy. (The mass of a…

A: Given,The mass of a deuteron =  3.34 ✕ 10−27kgThe kinetic energy of a deuteron= KE = 12×m0c2Where,…

Q: s) A 40 m spacecraft with 30-year-old astronauts who has the mass 80 kg moves with velocity v-0.95c…

A: Time dilation equation  t=γt0 Length contraction equation L=L0γ relativistic mass m=γm0 where…

Q: An astronaut on a spaceship traveling at 0.75c relative toEarth measures his ship to be 23 m long.…

A: Given, Velocity, v=0.75 c, Length of ship, l=23 m, and Time measured on the ship, t=28 min.

Q: (a) How much time (in years) does the trip from Earth the AD Leonis take, as measured by an observer…

A:

Q: In the alternate universe, how fast must an object be moving for it to have a kinetic energy equal…

A: Given: In the alternate universe, how fast must an object be moving for it to have a kinetic energy…

Q: You are in a spaceship with no windows, radios, or othermeans to check outside. How could you…

A: To know that a spaceship is moving or not, we have to know the velocity of the ship. The relative…

Q: (A) At rest, a spaceship has length Lo. In motion at speed v, its length is measured by external…

A:

Q: Our universe has properties that are determined by thevalues of the fundamental physical constants,…

A: According to relativity theory, we can calculate the relativistic length using the following…

Q: A SpacesnipAmoves away trom the earth at 0-462c, the captain observes a second Spacesnip B moving in…

A:

Q: All observers in inertial reference frames (constant relative velocities) will agree on all of the…

A: In physics, Einstein has introduced two postulated related to relativity, according to the theory of…

Q: 31. A spaceship appears to be shortened to one-third of its proper length. What is its relative…

A: As per your requirement I'm solving question number 31.Measured length is 1/3 of it's proper…

Q: A 100m long (as measured in the spaceships frame) spaceship passes you at a speed of 0.6c. The…

A: Data  we have  length,L=100m velocity,v=0.6c Time,∆t'=5s

Q: You are traveling in a spaceship at a speed of 0.70c awayfrom Earth. You send a laser beam toward…

A: Given data The speed of the spaceship is: Vs = 0.70c The speed of the laser beam is VLb = c   The…

Q: How much energy can be obtained from conversion of1.0 gram of mass? How much mass could this energy…

A: mass, m = 1 g  Energy obtained E =m c2 E =(0.001)(3 x 108)2 E = 9 x 1013 J

Q: The radius of our galaxy is approximately 3 x 10^20 m. How fast must a spaceship travel so that the…

A: The radius of the galaxy: The time taken by the spaceship to cross the galaxy:

Q: You are on an interstellar mission from the Earth to the 8.7 light-years distant star…

A: (a) since the space ship travels at a speed comparable to the speed of light, the distance to the…

Q: How much energy would be required to accelerate a particle of mass m from rest to  a speed of (a)…

A: Given data, Rest mass=m0Relativistic speed=vMass=mSpeed of light=c

Q: At one point in time ,two twins are 30years old . At dis time .one of them gets on a rocket and…

A: Given that: v=0.8cT=24 years   It is required to determine the age of the twin that remained on…

Q: Does time dilation mean that time actually passes moreslowly in moving reference frames or that it…

A: Time dilation mean that time actually passes more slowly in moving reference frames.

Q: Imagine that in another universe the speed of light is only 100 m/s. (a) A person traveling along an…

A: In this hypothetical universe where the speed of light is only 100 m/s, we can use the concept of…

Q: Suppose we want to send an astronaut on a round trip to visit a star that is 200 light-years distant…

A: As per the theory of special relativity time measured in a moving frame will be slower than the time…

Q: Fatima ad Eric are on earth and in their rest frame, a spaceship traveling at 0.963 c takes 11.7…

A:

Q: A new particle, the joelon, has just been discovered! Careful measurements show that the joelon has…

A:

Q: Find the speed of a GPS satellite (height is 20,200 km above the surface of Earth). Hence find the…

A: By using equation, v = ( G m2 / R + h )1/2 v= ( 6.67 x 10-11 x 5.98 x1024 / 20200 x 103 + 6.38 x 106…

Q: A 36,000-kg spaceship is to travel to the vicinity of a star6.6 light-years from Earth. Passengers…

A: Given, Mass, m=36000 kg, and distance, l0=6.6 light years.

Q: Muon. A muon produced by nuclear reaction in a space station is moving at 0.950c towards Earth. Its…

A: Given Velocity (v)      = 0.950 c Life time ∆τ = 2.2×10-6 s

Q: Two observers in different inertial reference frames movingrelative to each other at nearly the…

A: Lorentz transformation for the time co-ordinate t'=t-vxc21-v2c2

Q: Questi on 3: The decay of a pion (mass = 139.6 McV/c') produces a muon (mass =105.7 McV/c, mean…

A: π°→μ°+νpion→ muon+neutrino According to the conservation of energy,…

Q: A particle X with mass of my 1950m, is moving at speed of v = 0.950c along the x-axis in laboratory…

A:

Q: Our universe has properties that are determined by thevalues of the fundamental physical constants,…

A: given,speed of light in alternate universe is 1000000 times less than it is in our universethat is…

Q: Our universe has properties that are determined by thevalues of the fundamental physical constants,…

A: The energy and mass of a particle is related by the famous equation, E0=mc2 where E0 is the rest…

Q: . Suppose the speed of light were infinite. What wouldhappen to the relativistic predictions of…

A: The expression for the length contraction can be written as L=L0γL=L011-v2c2L=L01-v2c2…

Q: hne 7The coordinate of a dust particle in centimeters is given by the eavation X-16¢- where the time…

A:

Q: Identical twins Speedo and Goslo join a migration from Earth to Planet X. Planet X is 20.0…

A:

Q: A base ball pitcher with a 90-mi/h fastball throws a ball while standing on a railroad flatcar…

A: Given : u = 90 mi/h ux' = 110 mi/h

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.