S4w1 Special Relativity and some basics of galaxies

Last updated 8 months ago

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S4w1 Special Relativity and some basics of galaxies

Last updated 8 months ago

25 questions

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Its special relativity time! Watch this video - take notes on spacetime diagrams. do you have any questions?

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Explain your answers to the last two questions.

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describe the motion of the orange line in the following spacetime diagram from the perspective of the red guy

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Now watch the video on Lorentz transformation. Do you have any questions.

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Recall from last week's general relativity video that spacetime is a pseudo-Riemannian manifold which simply means in the local area everything looks flat, but it isn't flat everywhere. Newtonian physics is a approximation of the local flat spacetime. tell me as best you can what that means

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You are walking in the park. you walk along a straight path for 20 m, you stop, you continue on the same path for another 20m. how far are you from your original position?

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If you are going 10mph and the car next to you is going 12 mph, how fast does it seem to you the car next to you is going?

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How are the last two questions and the first two questions similar?

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Draw a spacetime diagram for a batter that hits a homerun in baseball, where the inertial frame of reference is home plate?

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Draw a spacetime diagram for the middle 80 meters of a 100 meter dash, where the three contestants are an olympic athlete, a middle school athlete and a toddler. Use the olympic athlete as the inertial frame of reference.

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I asked for the middle 80 meters so you could assume that they olympic athlete maintained a constant speed during that time. Why does that matter?

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Quick recap of inertial frames of reference. Rewatch this if you don't remember.
relative motion is

how fast something appears to be going as it might be observed by someone moving at a constant velocity

how fast something appears to be going as observed from a specific location

how fast something is going as compared to something moving in the opposite direction

All of these are examples of relative motion

Its special relativity time! Watch this video - take notes on spacetime diagrams. do you have any questions?

the coordinate position of an object is

relative

absolute

the distance between two objects is

relative

absolute

Explain your answers to the last two questions.

in a spacetime diagram, the horizontal axis is what? Some definitions - inertial frame of reference is the perspective of something moving at a constant velocity (even if that velocity is 0) an non-inertial frame of reference is the perspective of something accelerating.

distance from the inertial frame of reference.

distance from the non-inertial frame of reference

the time from the inertial frame of reference

the time from the non-inertial frame of reference

The vertical axis is what? Some definitions - inertial frame of reference is the perspective of something moving at a constant velocity (even if that velocity is 0) an non-inertial frame of reference is the perspective of something accelerating.

distance from the inertial frame of reference.

distance from the non-inertial frame of reference

the time from the inertial frame of reference

the time from the non-inertial frame of reference

describe the motion of the blue line in the following spacetime diagram from the perspective of the red guy

The guy following the blue line is moving straight up getting farther and farther away from the red guy

The guy following the blue line stays in the same place staying the same distance from the red guy.

The blue line is not a function, and therefore does not express motion.

The blue line moves past the blue guy

describe the motion of the orange line in the following spacetime diagram from the perspective of the red guy

at which part of the orange guys line is the orange guy going fastest? remember, speed is distance divided by time, and the x axis is distance, and the y axis is time.

between a to b

between b to c

between c to d

there is no way to tell

Now watch the video on Lorentz transformation. Do you have any questions.

The spacetime line for light is shown as a

horizontal line

vertical line

line at 30 degree angle from the horizontal

line at 45 degree angle from the horizontal

The purpose of performing a lorentz transformation is

to change a space time diagram to show relative motion

to change a spacetime diagram to show motion from a particular location

to change a spacetime diagram to show motion from a particular inertial frame of reference

to mess with time.

The Lorentz Transformation is when you

slide everything horizontally to change perspective from one inertial frame to another inertial frame

rotate everything around the origin to change perspective from one inertial frame to another inertial frame.

squish, slide and rotate to change perspective from one inertial frame to another

None of these

One of the key aspects of a lorentz transformation is

The angle between the x-axis and the new inertial frame of reference does not change

the angle of the speed of light does not change

the angle between the speed of light and any other velocity lines do not change

the angle between any two velocities does not change

Recall from last week's general relativity video that spacetime is a pseudo-Riemannian manifold which simply means in the local area everything looks flat, but it isn't flat everywhere. Newtonian physics is a approximation of the local flat spacetime. tell me as best you can what that means

You are walking in the park. you walk along a straight path for 20 m, you stop, you continue on the same path for another 20m. how far are you from your original position?

This path never bends and never turns. after 10,000 km you are somewhere past the arctic, and in another 10,000 you are somewhere in Asia. what is the shortest distance between you and where you started?

the 20,000 km path you just took

the distance going through the earth

There are many shortest distances

If you are going 10mph and the car next to you is going 12 mph, how fast does it seem to you the car next to you is going?

Does the math you just did for the last question work if I replace 10 mph and 12 mph with 0.8 x the speed of light and 0.9 x the speed of light?

yes

no

How are the last two questions and the first two questions similar?

Draw a spacetime diagram for a batter that hits a homerun in baseball, where the inertial frame of reference is home plate?

Draw a spacetime diagram for the middle 80 meters of a 100 meter dash, where the three contestants are an olympic athlete, a middle school athlete and a toddler. Use the olympic athlete as the inertial frame of reference.

I asked for the middle 80 meters so you could assume that they olympic athlete maintained a constant speed during that time. Why does that matter?

How are you feeling?

what is a spacetime diagram?
how would you write a spacetime diagram for something where the frame of reference is not moving
how would you draw a spacetime diagram for when a frame of reference is moving
Why can't you just rotate the graph to move from one inertial frame to another
What is a lorenz transformation?
the similarity of walking around the globe compared to going the speed of light

I've got this
I'm fuzzy
So confused

Quick recap of inertial frames of reference. Rewatch this if you don't remember. 
relative motion is

how fast something appears to be going as it might be observed by someone moving at a constant velocity

how fast something appears to be going as observed from a specific location

how fast something is going as compared to something moving in the opposite direction

All of these are examples of relative motion

the coordinate position of an object is

relative

absolute

the distance between two objects is

relative

absolute

in a spacetime diagram, the horizontal axis is what? Some definitions - inertial frame of reference is the perspective of something moving at a constant velocity (even if that velocity is 0) an non-inertial frame of reference is the perspective of something accelerating.

distance from the inertial frame of reference.

distance from the non-inertial frame of reference

the time from the inertial frame of reference

the time from the non-inertial frame of reference

The vertical axis is what? Some definitions - inertial frame of reference is the perspective of something moving at a constant velocity (even if that velocity is 0) an non-inertial frame of reference is the perspective of something accelerating.

distance from the inertial frame of reference.

distance from the non-inertial frame of reference

the time from the inertial frame of reference

the time from the non-inertial frame of reference

describe the motion of the blue line in the following spacetime diagram from the perspective of the red guy

The guy following the blue line is moving straight up getting farther and farther away from the red guy

The guy following the blue line stays in the same place staying the same distance from the red guy.

The blue line is not a function, and therefore does not express motion.

The blue line moves past the blue guy

at which part of the orange guys line is the orange guy going fastest? remember, speed is distance divided by time, and the x axis is distance, and the y axis is time.

between a to b

between b to c

between c to d

there is no way to tell

The spacetime line for light is shown as a

horizontal line

vertical line

line at 30 degree angle from the horizontal

line at 45 degree angle from the horizontal

The purpose of performing a lorentz transformation is

to change a space time diagram to show relative motion

to change a spacetime diagram to show motion from a particular location

to change a spacetime diagram to show motion from a particular inertial frame of reference

to mess with time.

The Lorentz Transformation is when you

slide everything horizontally to change perspective from one inertial frame to another inertial frame

rotate everything around the origin to change perspective from one inertial frame to another inertial frame.

squish, slide and rotate to change perspective from one inertial frame to another

None of these

One of the key aspects of a lorentz transformation is

The angle between the x-axis and the new inertial frame of reference does not change

the angle of the speed of light does not change

the angle between the speed of light and any other velocity lines do not change

the angle between any two velocities does not change

This path never bends and never turns. after 10,000 km you are somewhere past the arctic, and in another 10,000 you are somewhere in Asia. what is the shortest distance between you and where you started?

the 20,000 km path you just took

the distance going through the earth

There are many shortest distances

Does the math you just did for the last question work if I replace 10 mph  and 12 mph with 0.8 x the speed of light and 0.9 x the speed of light?

yes

no

How are you feeling?

what is a spacetime diagram?

how would you write a spacetime diagram for something where the frame of reference is not moving

how would you draw a spacetime diagram for when a frame of reference is moving

Why can't you just rotate the graph to move from one inertial frame to another

What is a lorenz transformation?

the similarity of walking around the globe compared to going the speed of light

I've got this

I'm fuzzy

So confused

S4w1 Special Relativity and some basics of galaxies

S4w1 Special Relativity and some basics of galaxies

Its special relativity time! Watch this video - take notes on spacetime diagrams. do you have any questions?

Explain your answers to the last two questions.

describe the motion of the orange line in the following spacetime diagram from the perspective of the red guy

Now watch the video on Lorentz transformation. Do you have any questions.

Recall from last week's general relativity video that spacetime is a pseudo-Riemannian manifold which simply means in the local area everything looks flat, but it isn't flat everywhere. Newtonian physics is a approximation of the local flat spacetime. tell me as best you can what that means

You are walking in the park. you walk along a straight path for 20 m, you stop, you continue on the same path for another 20m. how far are you from your original position?

If you are going 10mph and the car next to you is going 12 mph, how fast does it seem to you the car next to you is going?

How are the last two questions and the first two questions similar?

Draw a spacetime diagram for a batter that hits a homerun in baseball, where the inertial frame of reference is home plate?

Draw a spacetime diagram for the middle 80 meters of a 100 meter dash, where the three contestants are an olympic athlete, a middle school athlete and a toddler. Use the olympic athlete as the inertial frame of reference.

I asked for the middle 80 meters so you could assume that they olympic athlete maintained a constant speed during that time. Why does that matter?

Quick recap of inertial frames of reference. Rewatch this if you don't remember. relative motion is

Its special relativity time! Watch this video - take notes on spacetime diagrams. do you have any questions?

the coordinate position of an object is

the distance between two objects is

Explain your answers to the last two questions.

in a spacetime diagram, the horizontal axis is what? Some definitions - inertial frame of reference is the perspective of something moving at a constant velocity (even if that velocity is 0) an non-inertial frame of reference is the perspective of something accelerating.

The vertical axis is what? Some definitions - inertial frame of reference is the perspective of something moving at a constant velocity (even if that velocity is 0) an non-inertial frame of reference is the perspective of something accelerating.

describe the motion of the blue line in the following spacetime diagram from the perspective of the red guy

describe the motion of the orange line in the following spacetime diagram from the perspective of the red guy

at which part of the orange guys line is the orange guy going fastest? remember, speed is distance divided by time, and the x axis is distance, and the y axis is time.

Now watch the video on Lorentz transformation. Do you have any questions.

The spacetime line for light is shown as a

The purpose of performing a lorentz transformation is

The Lorentz Transformation is when you

One of the key aspects of a lorentz transformation is

Recall from last week's general relativity video that spacetime is a pseudo-Riemannian manifold which simply means in the local area everything looks flat, but it isn't flat everywhere. Newtonian physics is a approximation of the local flat spacetime. tell me as best you can what that means

You are walking in the park. you walk along a straight path for 20 m, you stop, you continue on the same path for another 20m. how far are you from your original position?

This path never bends and never turns. after 10,000 km you are somewhere past the arctic, and in another 10,000 you are somewhere in Asia. what is the shortest distance between you and where you started?

If you are going 10mph and the car next to you is going 12 mph, how fast does it seem to you the car next to you is going?

Does the math you just did for the last question work if I replace 10 mph and 12 mph with 0.8 x the speed of light and 0.9 x the speed of light?

How are the last two questions and the first two questions similar?

Draw a spacetime diagram for a batter that hits a homerun in baseball, where the inertial frame of reference is home plate?

Draw a spacetime diagram for the middle 80 meters of a 100 meter dash, where the three contestants are an olympic athlete, a middle school athlete and a toddler. Use the olympic athlete as the inertial frame of reference.

I asked for the middle 80 meters so you could assume that they olympic athlete maintained a constant speed during that time. Why does that matter?

How are you feeling?

Quick recap of inertial frames of reference. Rewatch this if you don't remember.
relative motion is