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$\bullet$ You measure the length of a futuristic car to be 3.60 $\mathrm{m}$ whenthe car is at rest relative to you. If you measure the length ofthe car as it zooms past you at a speed of $0.900 c,$ what resultdo you get?

$$1.569 \mathrm{m}$$

Physics 101 Mechanics

Chapter 27

Relativity

Gravitation

Rutgers, The State University of New Jersey

University of Michigan - Ann Arbor

Hope College

McMaster University

Lectures

03:55

In physics, orbital motion…

03:18

Sir Isaac Newton described…

05:06

You are traveling in a spa…

03:10

When parked, your car is 5…

01:15

You observe a meter stick …

01:06

(I) A spaceship passes you…

03:41

As measured by an observer…

00:51

01:34

A spaceship, 200 $\mathrm{…

01:18

A spacecraft of the Trade …

02:02

Spaceship $A$ moves away f…

04:28

03:25

A spaceship moves past Ear…

01:09

A spaceship, 200 m long as…

02:11

If a car is traveling at $…

02:36

You sit in a spaceship mov…

01:17

Two spaceships are moving …

0:00

A speeder passes a parked …

00:43

A car approaches you at $5…

01:14

You are driving down a st…

01:27

Determine the distance cov…

all right, so this is a simple application of length contraction. What length contraction says is that if I have a some object with length L not as measured when it's arrest, then if its length is re measured in motion, it'll be contracted by this factor, one over a gamma. So to find the new length, it's simply a matter of plugging in. Our values were given that the length arrest is 3.6 meters and the velocity 0.9 see. So this is just one minus here, 0.9 squared, and this comes out to 1.57 meters. It's the new length of the car.

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