Question

An astronaut must journey to a distant planet which is 200 light-years away from Earth. What speed will be necessary if the astronaut wishes to age only 10 years during the round trip?

Answer #1

An
astronaut leaves from Earth to Planet X. The planet is 10 light
years away. The rocketship can accelerate at 10 m/s/s and in order
to land on the planet it has to deacelerate at the same rate. If
the astronaut leaves Earth in 2019 and goes to Planet X and back,
what year can they get back to Earth the earliest?

Twins who are 19.0 years of age leave the earth and travel to a
distant planet 12.0 light-years away. Assume that the planet and
earth are at rest with respect to each other. The twins depart at
the same time on different spaceships. One twin travels at a speed
of 0.886c, and the other twin travels at
0.490c.
(a) According to the theory of special
relativity, what is the difference between their ages when they
meet again at the earliest...

Twins who are 19.0 years of age leave the earth and travel to a
distant planet 12.0 light-years away. Assume that the planet and
earth are at rest with respect to each other. The twins depart at
the same time on different spaceships. One twin travels at a speed
of 0.903c, and the other twin travels at 0.470c. (a) According to
the theory of special relativity, what is the difference between
their ages when they meet again at the earliest...

A spaceship leaves Earth at a high velocity and travels to a
distant planet. The observers on Earth state that it took 14 years
for them to make the trip. However, the people on the spaceship say
it took them 5 years to make the trip.
a) How fast is the spaceship traveling?
b) How far away is the planet according to the Earth
observers?
c) Partway during the trip, a small capsule is sent back to
Earth at a...

Twins who are 19.0 years of age leave the earth and travel to a
distant planet 12.0 light-years away. Assume that the planet and
earth are at rest with respect to each other. The twins depart at
the same time on different spaceships. One twin travels at a speed
of 0.912c, and the other twin travels at
0.445c.
(a) According to the theory of special
relativity, what is the difference between their ages when they
meet again at the earliest...

Twins who are 19.0 years of age leave the earth and travel to a
distant planet 12.0 light-years away. Assume that the planet and
earth are at rest with respect to each other. The twins depart at
the same time on different spaceships. One twin travels at a speed
of 0.853c, and the other twin travels at 0.405c.
(a) According to the theory of special relativity, what is the
difference between their ages when they meet again at the earliest...

The nearest star to Earth is Proxima Centauri, 4.3 light-years
away. At what constant velocity must a spacecraft travel from Earth
if it is to reach the star in 3.5 years, as measured by travelers
on the spacecraft? How long does the trip take according to Earth
observers?

A spaceship is moving toward Alpha Centauri, the
closest star
system located 4.2 light-years away, at a speed of 0.98c.
a) How much time does the trip last as measured from an astronaut
onboard?
b) How much time does the trip last as measured from an observer on
earth. Assume
the distance between the earth and Alpha Centauri remain the
same.
c) What is the distance between the earth and Alpha Centauri as
seen from an
astronaut onboard the spaceship?

The nearest star to Earth is Proxima Centauri, 4.3 light-years
away.
A:
At what constant velocity must a spacecraft travel from Earth if
it is to reach the star in 5.5 years, as measured by travelers on
the spacecraft?
B:
How long does the trip take according to Earth observers?

: A spaceship is moving toward Alpha Centauri, the closest star
system located 4.2 light-years away, at a speed of 0.98c. a) How
much time does the trip last as measured from an astronaut onboard?
(4 points) b) How much time does the trip last as measured from an
observer on earth. Assume the distance between the earth and Alpha
Centauri remain the same. (3 points) c) What is the distance
between the earth and Alpha Centauri as seen from...

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