Using Example 26 2 as a guide, show that for objects that move slowly in comparison to c, the length contraction formula is roughly 0(1 v2 c2) Use this approximation to find the length shortening 0 of the train in Example 26 6 if the train travels at 100 km h (rather than 0 92c) ...

The change in length is the difference between the initial leng ...

Using Example 26-2 as a guide, show that for objects that move slowly in comparison to c,

Question:

Using Example 26-2 as a guide, show that for objects that move slowly in comparison to c, the length contraction formula is roughly ℓ ≈ ℓ0(1 - ½ v2/c2). Use this approximation to find the "length shortening" ∆ℓ = ℓ0 - ℓ of the train in Example 26-6 if the train travels at 100 km/h (rather than 0.92c).