ID/Type |
Web Link or WA Question Code |
Local download |
Launch from browser |
Description |
E.29.01t |
APB-29-01-01tut |
relative-velocity-03.iwp |
relative-velocity-03.iwp |
A ship moves at constant velocity to the right. (The view is that
of an observer at rest relative to the water and looking down on the ship.) At t
= 0.5 s, a passenger (blue dot) on the ship begins walking in the direction and
with the speed given under Inputs. Note that Heading means the direction that
the passenger moves relative to the ship. The vectors represent:
red--velocity of ship relative to water
green--velocity of passenger relative to ship
blue--velocity of passenger relative to ocean |
E.29.01t |
APB-29-01-02 |
relative-velocity-01.iwp |
relative-velocity-01.iwp |
A ship moves at constant velocity to the right. (The view is that
of an observer at rest relative to the water and looking down on the ship.) At t
= 0.5 s, a passenger (blue dot) on the ship begins walking in the direction and
with the speed given under Inputs. Note that Heading means the direction that
the passenger moves relative to the ship. The vectors represent:
red--velocity of ship relative to water
green--velocity of passenger relative to ship
blue--velocity of passenger relative to ocean |
E.29.01t |
APB-29-01-03 |
relative-velocity-02.iwp |
relative-velocity-02.iwp |
A boat travels across a river. Determine the heading of the boat
so that it will reach point P on the opposite shore. The vectors represent the
following:
blue--velocity of boat relative to shore
green--velocity of boat relative to river
red--velocity of river relative to shore |
E.29.01bt |
APB-29-01b-01tut |
relativity-01.iwp |
relativity-01.iwp |
A carship makes a journey from the Earth to Alpha Centauri. The
journey can be viewed from the viewpoint of either the ship or the Earth by
selecting 1 or 0 for the Frame. The notation (rf Earth) or (rf Ship) indicates
the reference frame from which the corresponding quantity is measured. The unit
distance is cy = light-year. The Time given under outputs is the elapsed time in
years (rather than s) as measured from a clock at rest in the reference frame of
the observer. |
P30 |
Time Dilation |
relativity-star-trek-01.iwp |
relativity-star-trek-01.iwp |
Run the applet with the default inputs. The observer (SO) is on a
space station at rest with respect to the background of stars. The Interprize is
moving at velocity v to the right. At t = 0, a light ray is emitted from a
source at A toward a mirror at B. The ray reflects from the mirror and returns
to A. The path of the ray as observed by SO is along hypotenuses of right
triangles whose legs are D and L/2.
Now enter 0 for the Frame. Reset and run the animation. This shows the path of
the light ray from the point of view of an observer (IO) on the Interprize. To
this observer, the ray appears to travel straight across the ship and back. This
path takes less time than the longer path observed by SO, because the speed of
light is the same for both observers.
Note that the Time given under Outputs is the time as measured by the
corresponding observer using a clock at rest in their own reference frame. Note
also that although the two observers measure different distances and times for
the transit of the light ray, they both observe that the ray starts at A,
reflects from B, and returns to A. |