A reference frame consists of an array of measuring sticks for assigning spatial coordinates to an event and timemeasuring dev (clocks) for measuring the temporal coordinate of an event. The simulation (linked below) shows a representation of a reference with two spatial dimensions. The clocks are located in an array and are separated from their neighbors by a distance of two met observer at rest in this frame can be stationed anywhere and has access to all the clock values at any given instant. Three speci clocks are highlighted. ClockA has spatial coordinates xA : 4 m,yA : 0; clock)? has coordinates x3 : 6 myB : 6 m; clock Chas coordinatesxc : 7 8 m,yC : 7 8 m. Simulation Synchronizing Clocks in a Reference Frame To use the clocks in this frame to measure the temporal coordinate of an event, all the clocks must be synchronized. This is done preprogramming each clock with a starting time value based on that clock's distance rfrom the origin. A ash of light is generati the spatial origin when that clock reads r : 0. The light travels isotropically outward from the origin with speed c. When the ligh reaches a given clock, that clock starts at its preprogrammed value. Run the animation now. Note: for simplicity, in these exercise assumed that c : 1 m/s. Question 1 At what value (in seconds) must clockA be preprogrammed if it is to be synchronized with the clock at the origin? Ar: n s A reference frame consists of an array of measuring sticks for assigning spatial coordinates to an event and timemeasuring dev (clocks) for measuring the temporal coordinate of an event. The simulation (linked below) shows a representation of a reference with two spatial dimensions. The clocks are located in an array and are separated from their neighbors by a distance of two met observer at rest in this frame can be stationed anywhere and has access to all the clock values at any given instant. Three speci clocks are highlighted. ClockA has spatial coordinates xA : 4 m,yA : 0; clock)? has coordinates x3 : 6 myB : 6 m; clock Chas coordinatesxc : 7 8 m,yC : 7 8 m. Simulation Synchronizing Clocks in a Reference Frame To use the clocks in this frame to measure the temporal coordinate of an event, all the clocks must be synchronized. This is done preprogramming each clock with a starting time value based on that clock's distance rfrom the origin. A ash of light is generati the spatial origin when that clock reads r : 0. The light travels isotropically outward from the origin with speed c. When the ligh reaches a given clock, that clock starts at its preprogrammed value. Run the animation now. Note: for simplicity, in these exercise assumed that c : 1 m/s. Question 1 At what value (in seconds) must clockA be preprogrammed if it is to be synchronized with the clock at the origin? Ar: n s A reference frame 5' (with an array of synchronized clocks) is at rest relative to a very long spaceship. Within frame S' an observer determines the length ofthe spaceship to be L0 : 16 km. See the simulation (linked below). Simulation Two Events Observed in Frame 5' At t, = O, a single ash of light originates at spatial coordinatex' = 0. Let eventA be when the light signal reaches sideA (on right) of the ship, while event B is when the light signal reaches side B. Run the animation now. Note that the value of r' displayed on the screen is the same for all the clocks in frame 5', since the clocks have been synchronized. Question 1 Fill in the space-time coordinates for eventA below. Note that the unit of the spatial coordinate is kilometers, while the unit of the temporal coordinate is microseconds. Use the exact value of the speed of light in vacuum, c : 299 792 458 m/s. xA=n km n .5