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AP Physics 1: 3.2 System Interactions and Changes 182 Views


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AP Physics 1: 3.2 System Interactions and Changes. Which of the following is closest to the cannonball's speed one second after launch?

Language:
English Language

Transcript

00:00

Thank you We sneak and here's your shmoop du jour

00:05

brought to you by cannon balls They're capable of great

00:08

destructive force and are also our favorite way to enter

00:11

the swimming pool I checked the following diagram Alright a

00:15

cannonball with a mass of two hundred kilograms is ejected

00:19

from a cannon at t equals zero However the cannon

00:22

does not object with a constant force Instead it follows

00:25

the plot above using this information which of these speeds

00:29

is closest to that of the cannon ball One second

00:33

after the cannon is launched and the applied force goes

00:37

to zero All right And here the potential answer who

00:40

Good question Ah forced time graph We remember back when

00:45

we were young and saw forced time grab for the

00:47

first time It was new and scary Now that we're

00:50

old and withered We know how to make it work

00:52

for us right Well when we see this graph we

00:54

know we're dealing with impulse impulses The change in mo

00:57

mentum over an interval of time and mo mentum is

01:00

equal to mass times the change of velocity To find

01:05

the impulse using our force time graph we need to

01:07

figure out the area under the curve In our graph

01:10

here we could break it into two parts a triangle

01:13

and a rectangle Then we calculate the area of each

01:16

shape Well we'll tackle the triangle first To get that

01:18

we use the formula of one half base times height

01:21

Shmoop And then we'll take the area of the rectangle

01:27

base times height Well if we add them together we

01:33

get a total impulse of two thousand two hundred fifty

01:36

newton seconds All right because we now know the impulse

01:39

we can plug in our numbers and solve for velocity

01:42

right ankle Sometimes be i get to hand him over

01:46

to kilograms Let me point you alright so all we

01:50

have to do is around eleven point two five down

01:52

to eleven and will arrive at our answer option A 00:01:54.72 --> [endTime] That wasn't too bad We owe you

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