The premise of the Planet of the Apes movies and book is that hibernating astronauts travel far into Earth’s future, to a time when human civilization has been replaced by an ape civilization. Considering only special relativity , determine how far into Earth’s future the astronauts would travel if they slept for 120 y while traveling relative to Earth with a speed of 0.9990c, first outward from Earth and then back again.
The premise of the Planet of the Apes movies and book is that hibernating astronauts travel far into Earth’s future, to a time when human civilization has been replaced by an ape civilization. Considering only special relativity , determine how far into Earth’s future the astronauts would travel if they slept for 120 y while traveling relative to Earth with a speed of 0.9990c, first outward from Earth and then back again.
The premise of the Planet of the Apes movies and book is that hibernating astronauts travel far into Earth’s future, to a time when human civilization has been replaced by an ape civilization. Considering only special relativity, determine how far into Earth’s future the astronauts would travel if they slept for 120 y while traveling relative to Earth with a speed of 0.9990c, first outward from Earth and then back again.
Definition Definition Theory that describes how space and time interact. The special theory of relativity is based on two postulates in Albert Einstein's first formulation: The laws of physics do not change in each inertial frame of reference. The speed of light in free space is constant.
Uniform Circular motion.
1. Mini Lecture
2. Let the position of a particle be given by:
(t) = Rcos (wt)i + Rsin (wt)j
3. Calculate the expression for the velocity
vector and show that the velocity vector is
tangential to the circumference of the circle.
4. Calculate the expression for the acceleration
vector and show that the acceleration vector
points radially inward.
5. Calculate the magnitude of the velocity and
magnitude of the acceleration, and therefore
show that
v2
a =
R
4. A ball is thrown vertically up, its speed.
slowing under the influence of gravity.
Suppose (A) we film this motion and play
the tape backward (so the tape begins with
the ball at its highest point and ends with it
reaching the point from which it was
released), and (B) we observe the motion of
the ball from a frame of reference moving
up at the initial speed of the ball. The ball
has a downward acceleration g in:
a. A and B
b. Only A
c. Only B
d. Neither A nor B
2. Consider a 2.4 m long propeller that
operated at a constant 350 rpm. Find the
acceleration of a particle at the tip of the
propeller.
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