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AP Physics 1: 2.2 System Interactions and Changes 196 Views


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AP Physics 1: 2.2 System Interactions and Changes. What is the velocity of the stone at 12 seconds?

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Transcript

00:00

Thank you We sneak and here's your shmoop douceur brought

00:05

to you by game shows they're all fun and games

00:08

until well who are we kidding that's all they are

00:10

spun in games Check the following diagram Ernie is walking

00:14

around new york and suddenly finds himself on a game

00:16

show that tests the physics knowledge of random passers by

00:22

The host shows ernie the force time diagram above which

00:25

is based on the motion of a two kilogram stone

00:28

that rules across ah horizontal surface He asks what is

00:33

the velocity of the stone at twelve seconds and hear

00:37

potential answers Yeah all right well let's look at our

00:42

diagram here We're dealing with a force time diagram Anytime

00:46

we see force in time together like this we know

00:49

we're dealing with impulse Impulse equals force applied over an

00:56

interval of time and impulses equal toe linear momentum and

01:01

momentum Well it's the product of mass and velocity Right

01:05

To find the total impulse in a diagram like this

01:08

we need to calculate the area under the curve right

01:11

there We can make that easier by breaking the diagram

01:14

into two triangles and a rectangle like this Now we

01:18

only need the area for the first triangle and the

01:22

rectangle Since we need to know the velocity at twelve

01:25

seconds we could do a little old school geometry to

01:28

figure those out The area of the triangle is twenty

01:32

In the area of the rectangle is sixty giving us

01:37

a total impulse of lady Well now we can just

01:41

put the numbers we have into the equation in salt

01:43

for velocity with the impulse which is eighty equals two

01:47

kilograms times velocity When we do the math we see

01:50

that the velocity is forty meters per second making option

01:54

b the correct answer Just to be safe we'll be

01:57

sure to remember how to figure out impulse in case

01:59

wherever ambushed on the street by some physics crazed game 00:02:02.69 --> [endTime] show

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