Question

In an attempt to reduce the extraordinarily long travel times for voyaging to distant stars, some people have suggested traveling at close to the speed of light. Suppose you wish to visit the red giant star Betelgeuse, which is 430 ly away, and that you want your 20,000 kg rocket to move so fast that you age only 38 years during the round trip.

A.) How fast (v) must the rocket travel relative to earth?

Express your answer as a fraction of the speed of light to five significant figures according to the expression below.

B.) How much energy is needed to accelerate the rocket to this speed?

Express your answer to two significant figures and include the appropriate units.

C.) How many times larger is this energy than the total energy used by the United States in the year 2000, which was roughly 1.0×10^20J

Express your answer using two significant figures.

Answer #1

In an attempt to reduce the extraordinarily long travel times
for voyaging to distant stars, some people have suggested traveling
at close to the speed of light. Suppose you wish to visit the red
giant star Betelgeuse, which is 430 lyly away, and that you want
your 20,000 kgkg rocket to move so fast that you age only 38 years
during the round trip.
A) How fast (vv) must the rocket travel relative to earth?
Express your answer as a...

In an attempt to reduce the extraordinarily long travel times
for voyaging to distant stars, some people have suggested traveling
at close to the speed of light. Suppose you wish to visit the red
giant star Betelgeuse, which is 430 lyly away, and that you want
your 20,000 kgkg rocket to move so fast that you age only 22 years
during the round trip.
How much energy is needed to accelerate the rocket to this
speed?
Express your answer to...

In an attempt to reduce the extraordinarily long travel times
for voyaging to distant stars, some people have suggested traveling
at close to the speed of light. Suppose you wish to visit the red
giant star Betelgeuse, which is 430 ly away, and that you want your
20,000 kg rocket to move so fast that you age only 32 years during
the round trip.
A- How fast (v) must the rocket travel relative to earth?
B- How much energy is...

In an attempt to reduce the extraordinarily long travel times
for voyaging to distant stars, some people have suggested traveling
at close to the speed of light. Suppose you wish to visit the red
giant star Betelgeuse, which is 430 ly away, and that you want your
20,000 kg rocket to move so fast that you age only 32 years during
the round trip
part A
How fast (v) must the rocket travel relative to earth?
Part B
How much...

In an attempt to reduce the extraordinarily long travel times
for voyaging to distant stars, some people have suggested traveling
at close to the speed of light. Suppose you wish to visit the red
giant star Betelgeuse, which is 430 ly away, and that you want your
20,000 kg rocket to move so fast that you age only 26 yearsduring
the round trip.
a) How fast, as a fraction of c, must the rocket travel
relative to earth?
b) How...

Part A
How fast must an object travel for its total energy to be 10 %
more than its rest energy?
Express your answer using two significant figures.
Part B
How fast must an object travel for its total energy to 90 % more
than its rest energy?
Express your answer using two significant figures.

You leave on a mission to a distant star. Your craft accelerates
at a 0.65 g for 30 days. From your point of view, you spend the
next 1000 days moving at this speed. rom the point of view of an
earth observer, how long is this period of steady travel? Express
your answer in days to five significant figures.

Assume that 437 days is a reasonable limit for how long a human
can endure constant-velocity space travel. Proxima Centauri, the
star closest to our Sun, is 4.24 light years away from Earth. Part
A If you wanted to fly to Proxima Centauri within the 437-day limit
in a rocket of mass 1.50×106 kg , how much energy would be required
to accelerate the rocket to the necessary speed in the Earth
reference frame? For this rough estimate, ignore the...

A 3.9×1010kg asteroid is heading directly toward the
center of the earth at a steady 22 km/s. To save the planet,
astronauts strap a giant rocket to the asteroid perpendicular to
its direction of travel. The rocket generates 5.0×109N
of thrust. The rocket is fired when the asteroid is
3.8×106km away from earth. You can ignore the rotational
motion of the earth and asteroid around the sun.
Express your answers to two significant figures and include the
appropriate units.
a)...

Assume that 437 days is a reasonable limit for how long a human
can endure constant-velocity space travel. Proxima Centauri, the
star closest to our Sun, is 4.24 light years away from Earth.
If you wanted to fly to Proxima Centauri within the 437-day
limit in a rocket of mass 2.40×106 kg , how much energy
would be required to accelerate the rocket to the necessary speed
in the Earth reference frame? For this rough estimate, ignore the
energy required...

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