Question

The nearest star, Proxima Centauri, is 4.22 light years from the Earth. Ignoring relative motion between the solar system and Proxima Centauri, suppose that a spacecraft accelerates from the vicinity of the Earth at 0.01g (0.01 times the acceleration due to gravity at sea level) until it reaches one-tenth the speed of light, coasts until it is time to decelerate, and then decelerates at 0.01g until it becomes to rest in the vicinity of Proxima Centauri. How long does the trip take? (Light travels at 3x10^8 m/s.)

Please show all steps.

Answer #1

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?

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?

The nearest star, Proxima Centauri is 4.2 light years away and
was recently found to have a planet with at least 1.3 times earth’s
mass and having temperatures likely to be in the range where water
could exist. Let’s check it out! Assume that we want a rocket that
will accelerate at +1 g for half the voyage and decelerate at −1 g
for the 2nd half, so that we don’t just whiz on by.
Chemical propellants have an exhaust...

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 11 minutes ago

asked 39 minutes ago

asked 57 minutes ago

asked 59 minutes ago

asked 1 hour ago

asked 2 hours ago

asked 2 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago

asked 3 hours ago