Obviously, we can make rockets to go very fast, but what is a reasonable top speed? Assume that a rocket is fired from rest at a space station in deep space, where gravity is negligible, (a) If the rocket ejects gas at a relative speed of 2000 m/s and you want the rocket’s speed eventually to be 1.00 × 10 −3 c , where c is the speed of light in vacuum, what fraction of the initial mass of the rocket and fuel is not fuel? (b) What is this fraction if the final speed is to be 3000 m/s?
Obviously, we can make rockets to go very fast, but what is a reasonable top speed? Assume that a rocket is fired from rest at a space station in deep space, where gravity is negligible, (a) If the rocket ejects gas at a relative speed of 2000 m/s and you want the rocket’s speed eventually to be 1.00 × 10 −3 c , where c is the speed of light in vacuum, what fraction of the initial mass of the rocket and fuel is not fuel? (b) What is this fraction if the final speed is to be 3000 m/s?
Obviously, we can make rockets to go very fast, but what is a reasonable top speed? Assume that a rocket is fired from rest at a space station in deep space, where gravity is negligible, (a) If the rocket ejects gas at a relative speed of 2000 m/s and you want the rocket’s speed eventually to be 1.00 × 10 −3c, where c is the speed of light in vacuum, what fraction of the initial mass of the rocket and fuel is not fuel? (b) What is this fraction if the final speed is to be 3000 m/s?
Definition Definition Rate at which light travels, measured in a vacuum. The speed of light is a universal physical constant used in many areas of physics, most commonly denoted by the letter c . The value of the speed of light c = 299,792,458 m/s, but for most of the calculations, the value of the speed of light is approximated as c = 3 x 10 8 m/s.
A futuristic rocket ship of mass m,hip = 6.0 × 10° kg is sent into space carrying one
person with the goal of traveling to nearby stars. The ship uses a newly discovered
matter-antimatter drive that converts matter into energy at 100% efficiency. We
will take Earth as the rest frame.
For part
where it is using its drive to convert matter into the kinetic energy of the ship.
(d) you are interested in the portion of the spaceship's travel
(d) When at the final speed of 0.95c, by what factor is the ship's momentum
greater than its classical momentum at that same speed.
For parts (e) and () you are interested in the portion of the spaceship's travel once it
has reached a constant speed of v, = 0.95c.
(e) If eight years pass for the person inside the ship, then how much distance in
the rest frame does the ship cover? How much distance does the person
inside the ship measure?
(f) How many years would pass for the person on the ship by the time that the
ship covered 100 light years in the…
A particle is accelerated from 0.975c to 0.992c as measured in a laboratory reference frame. This
is a change in speed of only 1.7% and the ratio of the velocities is 1.017 (as measured in the lab
frame). What is the ratio of the particle momentum when moving at 0.992c as compared to when it
was moving at 0.975c? This ratio should be expressed as a decimal number.
P2
P₁
An unstable particle at rest breaks up into two fragments of unequal mass. The mass of the lighter fragment is equal to 2.00 x 10-28 kg and that of
the heavier fragment is 1.61 x 10-27 kg. If the lighter fragment has a speed of 0.893c after the breakup, what is the speed of the heavier fragment?
C
Chapter 8 Solutions
University Physics with Modern Physics (14th Edition)
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