If a meter stick moves to your right at a constant velocity of 0.8 c, what would you measure its length to be

To solve this problem , we will use the length contraction equation as follows:
L = L0((1 - v^2/c^2))^0.5
where:
L is the desired length
L0 is the length measured at initial frame = 1 m
v is the velocity
c is the speed of light

Substituting by these givens in the above equation, we can calculate L as follows:
L = 1((1 - (0.8 c)^2/c2))^0.5 = 0.6 meters

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adefioyelaoye adefioyelaoye · Answer 2 · 2022-06-01T17:04:32+02:00

Its length in this scenario will be equal to 0.6meters.

What is Length contraction?

This is referred to a phenomenon where a moving object's length is measured to be shorter than its actual length and the formula is seen below:

L = L0((1 - v^2/c^2))^0.5

where:

L is the desired length

L0 is the length measured at initial frame = 1 m

v is the velocity

c is the speed of light

Substitute the values into the equation.

L = 1((1 - (0.8 c)^2/c2))^0.5 = 0.6 meters.

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