S4w5 Homework - adding vectors - Gwyneth Lenfest | Library

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Review questions: Energy in a battery is a form of

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Sound energy is a form of

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If there were no friction or air resistance, the track could go higher than the original start height later in the ride.

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In the image above, because there is air resistance and friction, the track can never go as high as the starting

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We've talked about a few things in physics so far. Do you remember what is and is not a vector?

velocity
kinetic energy
force
acceleration
mass
energy
potential energy
momentum
speed
inertia

Vector
scalar

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watch this video on vector addition:
Do you have any questions?

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To add vectors you

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These vectors have been drawn head to tail already. draw the resultant vector for each problem

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match

Draggable item		Corresponding Item
component vectors		vectors that you are adding together
resultant vector		vector you get when you add other vectors
vector		something with direction and magnitude
scalar		something with magnitude but no direction

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Play with this phet simulation https://phet.colorado.edu/sims/html/vector-addition/latest/vector-addition_all.html
working in the "explore 2d" one do the following:

put a couple of vectors out there and click on the sum button. can you line up the vectors so that they look like the vector addition in the video?

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Can you create two vectors that are exactly the same length, but whose directions are opposite? what happens when you add them together?

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clear your board on the phet simulator and just have one vector on there (unclick sum to get rid of the dark blue one too). click on one of the buttons under "components". what do you notice about the components given?

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which view of components makes the most sense to you?

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What happens to the sum vector when you put together several vectors that go head-to-tail and the last head ends with the first tail?

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Newtons second law is that force = mass x acceleration. If the object isn't moving, what is its velocity? (don't worry about units)

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Newtons second law is that force = mass x acceleration. If the object isn't moving, what is its acceleration? (don't worry about units)

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Newtons second law is that force = mass x acceleration. If the object is moving at a constant velocity, what is its acceleration? (don't worry about units)

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Honors and 8th grade from here out. Is 1+2=1.5?

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Can I add a vector of magnitude 1 and a vector of magnitude 2 and get a resultant vector of 1.5?

Trim End | 07:36

Question 20 | 04:32

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Question 20

04:32

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What is the polar form of this vector? if you type \angle into the field it will give you the right symbol.

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What is the rectangular form of this vector?

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What is the polar form of this vector? notice that the angle is negative.

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What is the rectangular form of this vector? notice that the y component is negative.

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Go back to phet and create both of these vectors, then add them geometrically. What do you get? try adding the x and y components of each vector in rectangular form, and then add the 4 and the theta in polar form. what do you notice?

S4w5 Homework - adding vectors

S4w5 Homework - adding vectors

Review questions: Energy in a battery is a form of

Sound energy is a form of

If there were no friction or air resistance, the track could go higher than the original start height later in the ride.

In the image above, because there is air resistance and friction, the track can never go as high as the starting

We've talked about a few things in physics so far. Do you remember what is and is not a vector?

watch this video on vector addition: Do you have any questions?

To add vectors you

These vectors have been drawn head to tail already. draw the resultant vector for each problem

match

Can you create two vectors that are exactly the same length, but whose directions are opposite? what happens when you add them together?

clear your board on the phet simulator and just have one vector on there (unclick sum to get rid of the dark blue one too). click on one of the buttons under "components". what do you notice about the components given?

which view of components makes the most sense to you?

What happens to the sum vector when you put together several vectors that go head-to-tail and the last head ends with the first tail?

Newtons second law is that force = mass x acceleration. If the object isn't moving, what is its velocity? (don't worry about units)

Newtons second law is that force = mass x acceleration. If the object isn't moving, what is its acceleration? (don't worry about units)

Newtons second law is that force = mass x acceleration. If the object is moving at a constant velocity, what is its acceleration? (don't worry about units)

Honors and 8th grade from here out. Is 1+2=1.5?

Can I add a vector of magnitude 1 and a vector of magnitude 2 and get a resultant vector of 1.5?

What is the polar form of this vector? if you type \angle into the field it will give you the right symbol.

What is the rectangular form of this vector?

What is the polar form of this vector? notice that the angle is negative.

What is the rectangular form of this vector? notice that the y component is negative.

Go back to phet and create both of these vectors, then add them geometrically. What do you get? try adding the x and y components of each vector in rectangular form, and then add the 4 and the theta in polar form. what do you notice?

Review questions: Energy in a battery is a form of

Sound energy is a form of

If there were no friction or air resistance, the track could go higher than the original start height later in the ride.

In the image above, because there is air resistance and friction, the track can never go as high as the starting

We've talked about a few things in physics so far. Do you remember what is and is not a vector?

watch this video on vector addition: Do you have any questions?

To add vectors you

These vectors have been drawn head to tail already. draw the resultant vector for each problem

match

Can you create two vectors that are exactly the same length, but whose directions are opposite? what happens when you add them together?

clear your board on the phet simulator and just have one vector on there (unclick sum to get rid of the dark blue one too). click on one of the buttons under "components". what do you notice about the components given?

which view of components makes the most sense to you?

What happens to the sum vector when you put together several vectors that go head-to-tail and the last head ends with the first tail?

Newtons second law is that force = mass x acceleration. If the object isn't moving, what is its velocity? (don't worry about units)

Newtons second law is that force = mass x acceleration. If the object isn't moving, what is its acceleration? (don't worry about units)

Newtons second law is that force = mass x acceleration. If the object is moving at a constant velocity, what is its acceleration? (don't worry about units)

Honors and 8th grade from here out. Is 1+2=1.5?

Can I add a vector of magnitude 1 and a vector of magnitude 2 and get a resultant vector of 1.5?

What is the polar form of this vector? if you type \angle into the field it will give you the right symbol.

What is the rectangular form of this vector?

What is the polar form of this vector? notice that the angle is negative.

What is the rectangular form of this vector? notice that the y component is negative.

Go back to phet and create both of these vectors, then add them geometrically. What do you get? try adding the x and y components of each vector in rectangular form, and then add the 4 and the theta in polar form. what do you notice?

There is a lot of math in the last three minutes of this video. You do not need to understand it, but I would like you to watch it anyway.

watch this video on vector addition:
Do you have any questions?

watch this video on vector addition:
Do you have any questions?