S4w5 Homework - adding vectors

Last updated 8 months ago

25 questions

1

Library

S4w5 Homework - adding vectors

Last updated 8 months ago

25 questions

1

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

1

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

1

Draggable item		Corresponding Item

1

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?

1

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

1

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?

1

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?

1

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

1

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

1

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)

1

Question 20

04:32

1

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

1

What is the rectangular form of this vector?

1

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

1

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

1

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

potential energy

kinetic energy

nuclear energy

spring energy

Sound energy is a form of

potential energy

kinetic energy 

thermal energy

chemical energy

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

True

False

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

True

False

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

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

Vector
scalar

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

To add vectors you

draw the component vectors with their tails together, and draw the resultant vector from the head of one vector to the head of the other

Draw one component vector, and then draw the second component vector starting at the head of the first vector. Draw the resultant vector from the tail of the first to the head of the second. 

Draw a line from the tail of one to the head of the other from wherever the vectors are drawn.

draw a line from the head of one to the tail of the other, and then another line from the tail of the first to the head of the other. The resultant vector is where those lines intersect. 

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

match

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

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?

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?

yes

no

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

yes

no

Question 20

04:32

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 

potential energy

kinetic energy

nuclear energy

spring energy

Sound energy is a form of 

potential energy

kinetic energy 

thermal energy

chemical energy

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

True

False

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

True

False

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

potential energy

speed

mass

inertia

force

velocity

momentum

kinetic energy

energy

acceleration

Vector

scalar

To add vectors you 

draw the component vectors with their tails together, and draw the resultant vector from the head of one vector to the head of the other

Draw one component vector, and then draw the second component vector starting at the head of the first vector. Draw the resultant vector from the tail of the first to the head of the second. 

Draw a line from the tail of one to the head of the other from wherever the vectors are drawn.

draw a line from the head of one to the tail of the other, and then another line from the tail of the first to the head of the other. The resultant vector is where those lines intersect. 

match

scalar

vectors that you are adding together

component vectors

vector you get when you add other vectors

resultant vector

something with direction and magnitude

vector

something with magnitude but no direction

which view of components makes the most sense to you?

they all make sense

i really don't know what is going on with these.

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

yes

no

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

yes

no

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.

Cool, I know that math!

I have seen some of that before

Ah!! it burns!!!

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.

Cool, I know that math!

I have seen some of that before

Ah!! it burns!!!

S4w5 Homework - adding vectors

S4w5 Homework - adding vectors

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

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

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?

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)

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?