1) The (Other) frame K’ moves with respect to the (Home) frame K with eta = 2/5. An
event E is observed in the K’ frame at the following coordinates: (t’, x’) = (2, 3).
Draw, on a graph paper or a suitable coordinate grid, a two-observer space-time
diagram, with appropriately scaled and labeled axes, indicating the event E and
its coordinates in BOTH frames. Also, determine the precise coordinates of event
E (as observed in the Home frame) by using the Lorentz transforms, and
compare your result with that obtained directly from the two-observer space-time
diagram.
2) By using a tool such as Excel, test the validity of the binomial expansion for the
following function: f(v) = (1 - (v/c)2
)
0.5 over a range of values of v/c by indicating
on a neatly drawn, and appropriately labeled graph, where the approximation
deviates from the exact computation by 10%, 15%, and 20% respectively.
Provide all the numerical data (in tabular form) that is used to produce the plot.
1) The (Other) frame K' moves with respect to the (Home) frame K with 3 = 2/5. An event E is observed in the K' frame at the following coordinates: (t', x') = (2, 3).
its coordinates in BOTH frames. Also, determine the precise coordinates of event E (as observed in the Home frame) by using the Lorentz transforms, and compare your result with that obtained directly from the two-observer space-time diagram.
2) By using a tool such as Excel, test the validity of the binomial expansion for the following function: f(v) = (1 - (v/c)2)o.5 over a range of values of v/c by indicating
deviates from the exact computation by 10%, 15%, and 20% respectively. Provide all the numerical data (in tabular form) that is used to produce the plot.