Arthur Beiser Modern Physics Solutions Of Chapter 2 Pdf Official

Using the Lorentz factor calculated earlier, we can plug in the values:

where t' is the time measured by the astronaut and t is the time measured by the observer on Earth.

γ = 1 / sqrt(1 - v^2/c^2)

t' = 1.67t

where v is the relative velocity between two observers and c is the speed of light. Arthur Beiser Modern Physics Solutions Of Chapter 2 Pdf

This means that the astronaut will experience time passing 1.67 times slower than the observer on Earth.

Problem 2.5 asks students to calculate the time dilation factor for an astronaut traveling at 0.8c relative to an observer on Earth. The time dilation factor is given by: Using the Lorentz factor calculated earlier, we can

γ = 1 / sqrt(1 - (0.6c)^2/c^2) = 1 / sqrt(1 - 0.36) = 1 / sqrt(0.64) = 1 / 0.8 = 1.25

Problem 2.10 asks students to calculate the length contraction factor for an object moving at 0.9c relative to an observer. The length contraction factor is given by: Problem 2

This means that the observer will measure the length of the object to be 0.436 times its proper length.