IWP Applets for Chapter 29

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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.