![Page 1: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/1.jpg)
Review Session #2Motion and ForcesMINNETONKA HIGH SCHOOL | IB PHYSICS
![Page 2: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/2.jpg)
Reminder of our Equations
Units m m s-1 m s-1 m s-2 s
𝑣 = 𝑢 + 𝑎𝑡 𝑢 𝑣 𝑎 𝑡
𝑠 = 𝑢𝑡 + 12𝑎𝑡2 𝑠 𝑢 𝑎 𝑡
𝑣2 = 𝑢2 + 2𝑎𝑠 𝑠 𝑢 𝑣 𝑎
𝑠 = 𝑣+𝑢 𝑡2
𝑠 𝑢 𝑣 𝑡
![Page 3: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/3.jpg)
Finding the Components of a Vector
20 N
θ = 34°
What are the x and y components of a 20 N force applied 34° from horizontal?
X-Component
Y-Component
![Page 4: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/4.jpg)
Dropping a marble
𝑠
𝑢
𝑣
𝑎
𝑡
How fast must you launch a baseball straight in the air to reach the height of the Empire State Building (380 m)?*Assuming no air resistance*
![Page 5: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/5.jpg)
Motion Graphs Guide
d
v
a
Co
nst
ant
Dis
pla
cem
ent
Co
nst
ant
+ V
elo
city
Co
nst
ant
-V
elo
city
+ A
ccel
erat
ion
Sp
eed
ing
up
+ A
ccel
erat
ion
Sl
ow
ing
Do
wn
-A
ccel
erat
ion
Sp
eed
ing
up
-A
ccel
erat
ion
Sl
ow
ing
Do
wn
![Page 6: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/6.jpg)
Use the graphs to tell you MORE!Sl
op
eA
rea Un
der
Cu
rve
Displacement vs Time
Velocity vs Time
Acceleration vs Time
![Page 7: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/7.jpg)
What Happens When…
v
t
a
d
t
What happens when you throw a ball straight up in the air?
![Page 8: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/8.jpg)
Projectile Motion
![Page 9: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/9.jpg)
X-Y Problem Solving Steps
X Y
𝑠
𝑢
𝑣
𝑎
𝑡
1. Start with Y and pretend it’s just a freefall problem
2. The air time is the same for X and Y so make tx = ty
3. Solve for X. • Constant velocity
• (ux = vx)• ax = 0• s = vt
![Page 10: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/10.jpg)
Horizontal Projectile
X Y
𝑢
𝑣
𝑠
𝑎
𝑡
u
15 cm
1 m
![Page 11: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/11.jpg)
Projectile at an Angle
24°
X Y
𝑢
𝑣
𝑠
𝑎
𝑡
vx =
vy =
You hit a baseball at 24° above the horizontal as a speed of 30 m/s. How far does the ball travel before it hits the ground?
![Page 12: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/12.jpg)
Acceleration from FBD
How fast is this 100 kg block accelerating?
600 N
200 N
400 N100 N
![Page 13: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/13.jpg)
Calculating Acceleration w/ Friction
Step 1:Find the Force from Friction• Fg = mg• R = Fg
• Ff = μ × R
Step 2:Find Fnet
• Fnet = Fpush - Ff
Step 3:Find acceleration
Fnet = ma a = Fnet / m
FpushFf
Fg
R
![Page 14: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/14.jpg)
Calculate Friction | Try This…
Santa’s reindeer pull his 2000 kg sleigh with a force of 4980 N. How fast does the sleigh accelerate if the coefficient of kinetic friction (µk) is 0.05?
![Page 15: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/15.jpg)
Air Resistance
Force of gravity is always constant
Force of air resistance increases whenvelocity increases
10
m/s
30
m/s
50
m/s
Fw
Fw
Fw
![Page 16: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/16.jpg)
Terminal VelocityD
isp
lace
men
t (m
s-1
)
Time (s)
Vel
oci
ty (
m s
-1)
Time (s)
![Page 17: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/17.jpg)
Ramp Problem
40°
m 10 kg
Fg
F⊥
F∥
R
Ff
Fnet
a
μ = 0.15
![Page 18: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/18.jpg)
Calculating Gravitational Force
What is the force of gravity between the earth and the moon?
m = 6 × 1024 kgm = 7.4 × 1022 kg
r = 3.8 × 108 m
𝐹 = 𝐺𝑀𝑚
𝑟2G = 6.67 × 10-11 𝑁×𝑚2
𝑘𝑔2
![Page 19: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/19.jpg)
Gravitation Field Strength
What is the gravitational field strength of the earth at the position of the moon?
m = 6 × 1024 kgm = 7.4 × 1022 kg
r = 3.8 × 108 m
𝑔 = 𝐺𝑀
𝑟2G = 6.67 × 10-11 𝑁×𝑚2
𝑘𝑔2
![Page 20: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/20.jpg)
Defining Circular Motion | Summary
𝑣 =2𝜋𝑟
𝑇= 𝜔𝑟𝜔 =
2𝜋
𝑇
Angular Velocity Tangential Velocity (linear speed)
r radian
![Page 21: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/21.jpg)
Centripetal Acceleration
A 3 kg rock swings in a circle of radius 5 m. If its constant speed is 8 m s-1, what is the centripetal acceleration?
![Page 22: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/22.jpg)
What is the tension?
m = 2 kg
Fc
Fc
m 2 kg
vt 5 m/s
r 0.5 m
Fc
Fnet
Fg
FT
m 2 kg
vt 5 m/s
r 0.5 m
Fc
Fnet
Fg
FT
Top Bottom
![Page 23: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/23.jpg)
Calculating Work
When you push a lawn mower, you are really applying a force down the angled handle bar as shown in this picture
FHow much work do you do when you push a lawn mower 20 m with a force of 200 N directed at an angle of 30° with the ground?
30°
![Page 24: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/24.jpg)
Work and Power
How much power is required from the engine to move at a constant 30 m s-1? The force of drag (Ff) is 500 N. How much work is done in 4 seconds?
![Page 25: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/25.jpg)
Conservation of Energy
100 m 70 m
What is the velocity of a 1 kg marble at point A?
![Page 26: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/26.jpg)
Conservation of Energy | w/ spring
How far up the 15° incline of a pinball table will a 0.1 kg pinball move after it is launched? The spring constant is 100 N/m and is compressed by 0.08 m.
h
![Page 27: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/27.jpg)
Work-Energy Theorem
A 0.005 kg bullet moving at 650 m/s hits a tree trunk and penetrates to a depth of 0.04 m. What is the force of the tree?
![Page 28: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/28.jpg)
Which impulse is larger?Fo
rce
(N)
2
4
6
8
10
2 4 6 8 101 3 5 7 9
12
1
3
5
7
9
11
13
Time (s)
![Page 29: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/29.jpg)
Calculating with Impulse-Momentum
You launch a marshmallow out of a 11 inch paper tube. If you can provide a consistent 0.28 N of force, how fast does the 0.7 g marshmallow travel when it exits the tube if it is in the tube for 0.05 seconds?
𝐹
𝑡
𝑚
𝑢
𝑣
![Page 30: Review Session #2 Motion and Forces - PASSIONATELY CURIOUS · 2018-05-08 · Review Session #2 Motion and Forces MINNETONKA HIGH SCHOOL | IB PHYSICS. Reminder of our Equations Units](https://reader033.vdocuments.mx/reader033/viewer/2022050103/5f41cd227a976204c321b314/html5/thumbnails/30.jpg)
Conservation of Momentum
mB
vBi = 0 m/s
mA
vAi = 4 m/smA = 18 kg mB = 12 kg
BEFORE
vBf = vf
mA
vAf = vf
mA = 18 kg mB = 12 kg
mB
After
What is the final velocity of block A and B if they stick together