Question

1. motion at high speeds

before you move on, here are a few questions to make sure you are understanding the concepts we have discussed.

1. conservation laws
2. energy
3. waves
4. the properties of light
5. physical properties of matter
6. the molecular model of matter
7. the nuclear atom
8. duality of matter
9. the quantum model of the atom
10. the periodic table
11. the law of increasing disorder
12. atoms, molecules, and extensions
13. principles of chemical reactions

7 - 11 tim is a very amazing runner and is able to run at 32% of the speed of light. as seen on the ground he will be
a. thinner than when he is at rest.
b. fatter than when he is at rest.
c. the same width as when he is at rest.
d. shorter than when he is at rest.
e. taller than when he is at rest.

7 - 12 astronomers frequently measure astronomical distances in light - years. if you were to travel at half the speed of light to a star which was five light - years away, people on the ground would measure ten years time for you to get there. how

Explanation:

Step1: Recall length - contraction formula

The length - contraction formula is $L = L_0\sqrt{1-\frac{v^{2}}{c^{2}}}$, where $L$ is the length of the object in the moving frame, $L_0$ is the length of the object in the rest frame, $v$ is the speed of the object relative to the observer, and $c$ is the speed of light. When an object moves at a relativistic speed, it contracts only in the direction of motion. The width (perpendicular to the direction of motion) remains the same.

Step2: Analyze Tim's dimensions

Tim is running at a relativistic speed (32% of the speed of light). In the direction of his motion, he will experience length - contraction and appear thinner. But his width (perpendicular to the direction of motion) will be the same as when he is at rest. His height (also perpendicular to the direction of motion) will be the same as when he is at rest.

Answer:

C. the same width as when he is at rest.