Question

The starship Enterprise leaves a distant earth colony, which is nearly at rest with respect to the earth. The ship travels at nearly constant velocity toward earth. When the Enterprise reaches earth 1.11 y has elapsed, as measured on the ship. Clocks in the earth's reference frame show that the voyage lasted 3.24 y.

a) How far from earth is the colony, as measured in the reference frame of the earth?

b) How far from earth is the colony, as measured in the reference frame of the ship?

Answer #1

The answer for above problem is explained below.

The starship Enterprise leaves a distant earth colony,
which is nearly at rest with respect to the earth. The ship travels
at nearly constant velocity toward earth. When the
Enterprise reaches earth 1.10 y has elapsed, as measured
on the ship. Clocks in the earth's reference frame show that the
voyage lasted 3.29 y. How far from earth is the colony, as measured
in the reference frame of the earth?
(b) How far from earth is the colony, as measured...

The starship Enterprise leaves a distant earth colony,
which is nearly at rest with respect to the earth. The ship travels
at nearly constant velocity toward earth. When the
Enterprise reaches earth 1.03 y has elapsed, as measured
on the ship. Clocks in the earth's reference frame show that the
voyage lasted 3.26 y.
How far from earth is the colony, as measured in the reference
frame of the earth?
(b) How far from earth is the colony, as measured...

The starship Enterprise leaves a distant earth colony,
which is nearly at rest with respect to the earth. The ship travels
at nearly constant velocity toward earth. When the
Enterprise reaches earth 1.02 y has elapsed, as measured
on the ship. Clocks in the earth's reference frame show that the
voyage lasted 2.89 y.
How far from earth is the colony, as measured in the reference
frame of the earth?
Unit: light years
(b) How far from earth is the...

In order to cross the galaxy quickly, a spaceship leaves Earth
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from Earth to the spacecraft. (a) In the Earth-galaxy frame of
reference, how far from Earth is the spaceship when the message is
sent? (b) How much time elapses on spaceship clocks between when
the ship leaves Earth and when the message is sent? (c) How much
time elapses on Earth clocks between when the message is sent...

18. A space traveler takes off from Earth and moves at speed
0.9800c toward the star Vega, which is 26.00 ly distant. How much
time will have elapsed by Earth clocks (a) when the traveler
reaches Vega and (b) when Earth observers receive word from the
traveler that she has arrived? (c) How much older will Earth
observers calculate the traveler to be (measured from her frame)
when she reaches Vega than she was when she started the trip?

A space traveler takes off from Earth and moves at speed
0.9850c toward the star Vega, which is 25.00 ly distant.
How much time will have elapsed by Earth clocks
(a) when the traveler reaches Vega and
(b) when Earth observers receive word from the
traveler that she has arrived? (c) How much older
will Earth observers calculate the traveler to be (measured from
her frame) when she reaches Vega than she was when she started the
trip?

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...

Problem 14.50 According to an observer at rest in the Earth
reference frame, ship A is moving toward ship B at speed 0.862
c0 while ship B is moving toward ship A at 0.697
c0 .Ship A sends out a shuttle module M that travels to
ship B at speed 0.575 c0 relative to A. Part
A When a pilot of the module sees 1.00 s pass on her
clock, how much time would she observe passing on a distant...

. In a distant solar system, a spacecraft travels
between Planet A and Planet X in a straight line at speed v = 0.90
c at a time when A and X are 3.24 x 1011 m apart. The distance is
measured in the fixed frame of reference, in which the
sun, Planet A, and Planet X are at rest. (We neglect any motion of
the planets with respect to each other and the sun during this
short time.)
a....

3. In a distant solar system, a spacecraft travels
between Planet A and Planet X in a straight line at speed v = 0.90
c at a time when A and X are 3.24 x 1011 m apart. The distance is
measured in the fixed frame of reference, in which the sun, Planet
A, and Planet X are at rest. (We neglect any motion of the planets
with respect to each other and the sun
during this short time.)
a....

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