Question

Sirius is about 8.60 ly from Earth. To reach the star by spaceship in 13.5 y (ship time), how fast must you travel?

Answer #1

An alien spaceship traveling at 0.560c toward the Earth
launches a landing craft. The landing craft travels in the same
direction with a speed of 0.860c relative to the mother
ship (as measured by aliens on the mother ship). As measured on the
Earth, the spaceship is 0.110 ly from the Earth when the landing
craft is launched.
(a) What speed do the Earth-based observers measure for the
approaching landing craft?
c
(b) What is the distance to the Earth...

An alien spaceship traveling at 0.610c toward the Earth
launches a landing craft. The landing craft travels in the same
direction with a speed of 0.710c relative to the mother
ship (as measured by aliens on the mother ship). As measured on the
Earth, the spaceship is 0.280 ly from the Earth when the landing
craft is launched.
(a) What speed do the Earth-based observers measure for the
approaching landing craft?
c
(b) What is the distance to the Earth...

The distance from earth to the center of our galaxy is about
28,000 ly (1 ly = 1 light year = 9.47 × 1015 m), as measured by an
earth-based observer. A spaceship is to make this journey at a
speed of 0.9990c. According to a clock on board the spaceship, how
long will it take to make the trip? Express your answer in years.
(1 yr is equal to 3.16 × 107 s.)

The distance from earth to the center of our galaxy is about
30,000 ly (1 ly = 1 light year = 9.47 × 1015 m), as measured by an
earth-based observer. A spaceship is to make this journey at a
speed of 0.9990c. According to a clock on board the spaceship, how
long will it take to make the trip? Express your answer in years.
(1 yr is equal to 3.16 × 107 s.)

The following six problems are about the following situation: A
spaceship at rest on the earth has a length of 120 m and a mass of
16,000 kg. Then the spaceship begins to move away from the earth at
3/4 the speed of light.
14) If the spaceship sends out a
second ship away from the earth at what observers ON THE SPACESHIP
think is 1/2 the speed of light, how fast do the observers ON EARTH
think the second ship...

please provide solutions for all questions; thank you in
advance
An alien spaceship traveling at 0.610c toward the Earth launches
a landing craft. The landing craft travels in the same direction
with a speed of 0.840c relative to the mother ship (as measured by
aliens on the mother ship). As measured on the Earth, the spaceship
is0.260 ly from the Earth when the landing craft is launched.
(a) What speed do the Earth-based observers measure for the
approaching landing craft?...

A spaceship travels at a constant speed from earth to a planet
orbiting another star. When the spacecraft arrives, 11.76 years
have elapsed on earth, and 7.17 years have elapsed on board the
ship. How far away (in meters) is the planet, according to
observers on earth? (c = 3.00 x 108 m/s)
Hint: you can enter the answer in terms of exponent i.e.
5.2e16.

A spaceship passes the Earth at 0.7c. From an observer on the
ship, a missile is fired laterally (from the side of the ship,
perpendicular to its direction of motion) at 0.2c. According to an
observer on Earth, how fast is the missile?

Sam is on a spaceship that travels from Earth to Proxima
Centauri at 70% the speed of light, or 0.7c, relative to Earth.
Erma is an observer on Earth. From Sam's perspective, 1.35 x
108 seconds passed between when the Earth was near him
and when Proxima Centauri is near him
First we consider velocity and time: How fast in m/s is Sam
moving as measured in the rest frame of the rocket?
How fast in m/s is Erma moving...

An allied spaceship, moving at 0.5 c with respect to Earth,
shoots a photon missile at the speed of light at a revel spaceship,
initially at 6000 km away, which is moving away from the allied
ship at constant velocity. According to the allied ship the missile
hits the revels 0.1 s after firing. How fast were the revels
traveling with respect to earth?

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