Kinematics

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Dr. Tenenbaum
CP Physics
2014-2015
College Prep Physics fall review sheet
Kinematics
5280ft = 1609m=1mile
1ft = 0.3048m
Workbook: Chapter 1, Textbook: Chapter 3
Vocabulary
Kinematics, distance, displacement, acceleration, velocity, speed
Equations
d=1/2at2+v0t
vf2=v02+2ad
vf=v0+at
a = Δv/ Δt
v= Δx/ Δt
Problems:
1. What acceleration is needed for a car going 28m/s to stop in a distance of 120 ft?
2. A person starts at rest and accelerates at a uniform rate of at 3.2 m/s 2 for 3.0 seconds.
What distance does this person cover in that time?
3. What distance will a car cover while uniformly accelerating from12 m/s to 26 m/s in 14
seconds?
4. Bob and Tom are racing their cars to Whole Foods, 800m away. If Bob drives at a
constant 20m/s while Tom starts at 15m/s but accelerates at a rate of 4m/s2, who gets
to Whole Foods first?
5. A cheetah is moving at 20m/s after accelerating at a rate of 4m/s2 for 3.4 seconds. What
was the cheetah’s initial velocity?
6. A cell phone is dropped off CATS Academy, which is 60 feet tall. How much time does it
take the cell phone to hit the ground?
Dr. Tenenbaum
CP Physics
2014-2015
Vectors
Workbook: Chapter 2, Textbook: Chapter 3
Vocabulary
Distance, displacement, x-component, y-component, magnitude, direction, scalar, vector, tip-to-tail
method
Equations

v  v x , v y 
  
C  A  B means  C x , C y  Ax , Ay    Bx , B y  Ax  Bx , Ay  B y 
Example: A + B = <3,4> + <-2,2> = <1,6> (see graph at right)
SOH-CAH-TOA
vx2+vy2=vtot2
tan (ϴ)=vy/vx
Problems:
1. A cannonball is shot at an angle of 18° above the
horizontal with an initial speed of 32m/s. (a) What
is the horizontal component of the velocity? (b) What is the vertical component?
2. I swim 1.5 m/s east in a river that flows 2.5 m/s to the north. What is my total velocity?
(Remember to include magnitude and direction)
3. I walk 4.2 mi north and then 1.8 mi northeast. (a) What is the distance traveled? (b)
What is the displacement (magnitude and direction)?
4-6, determine the magnitude and direction of vectors A+B below. Use a ruler to measure
the magnitude of each vector A and B in centimeters
Dr. Tenenbaum
CP Physics
2014-2015
7. Two forces act on an object that sits on an incline. There is a normal force of 20N
pointing 23° to the left of the positive y-axis and weight, which is 21.7N pointing straight
downward. (a) Draw these two vectors and add them, using the tip-to-tail method. (b)
Find the x and y-components of both forces. (c) Add these vectors by adding their
components (see example above). (d) Try parts (b), (c), and (d) again, now by including
a frictional force of 5N pointing 23° above the positive x-axis.
8. A student starts in Dr. T’s classroom and goes to Mrs. Pendley’s classroom. The total
displacement is 25m at an angle of 65° above the
horizontal. (a) How much higher is Mrs. Pendley’s
classroom than Dr. T’s? How far away do the two
classrooms look from Google Maps (see picture at
right)?
Projectile Motion
Workbook: Chapter 2, Textbook: Chapter 10
Vocabulary
Free-fall, initial velocity and components, displacement and its components
Equations
d=1/2at2+v0t
vf2=v02+2ad
vf=v0+at
Problems:
1. An airplane is dropping food to starving children in Rwanda. The airplane travels at
200m/s and at an altitude of 500m. (a) How much time is the food in the air after being
dropped? (b) How much distance does the food travel horizontally before it hits the
ground?
2. A cannonball is shot at an angle of 18° above the horizontal with an initial speed of
32m/s. How much time does it spend in the air?
3. Mr. Sullivan throws Mike straight up into the air. Mike lands on the ground 3.2 seconds
later. What was Mike’s initial speed?
4. Felix sees a monkey 2.5 m below him. He throws a banana at the monkey with an initial
speed of 5m/s at an angle of 30° below the horizontal. (a) How much time does it take
the monkey to get the banana? (b) How far away is the monkey?
Dr. Tenenbaum
CP Physics
2014-2015
5. A soccer ball is thrown horizontally out of the window of a building. The ball hits the
ground 4.3 seconds later. (a) What is the height of the window? (b) How far away from
the building does the ball travel before hitting the ground?
Forces
Workbook: Chapter 3, Textbook: Chapter 5
Vocabulary
Net force, equilibrium, normal force, tension, weight, mass, gravity, friction, coefficient of friction,
Newton’s 1st Law, Newton’s 2nd Law, Newton’s 3rd Law, inertia, applied force, scale reading, free-body
diagram
Equations
Fnet=ma
Ff=μN
Problems:
1. A 20-kg chandelier is hanging from a cable at an angle of 10°
from the vertical (see right). Find the tension in the cable.
2. A frictional force of 20N is measured on a surface that has a
coefficient of friction of 0.2. What is the normal force?
3. I push a 10-kg block of wood horizontally against a wall with
30N of force, which is enough horizontal force to keep the
block from falling. (a) Draw the free-body diagram. (b)
Determine what μ must be to keep the block from falling.
4. A 8-kg block is sliding sideways at a speed of 8m/s across a horizontal surface with a
coefficient of friction of 0.4. (a) Determine the frictional force. (b) Determine the
acceleration. (c) When will the block stop moving? (d) How far will the block move
before it stops?
5. A 3.0-kg block is on a frictionless incline with an angle of 30°. (a) What is the normal
force? (b) What is the net force on the block? (c) What is the block’s acceleration? (d)
Suppose now there is friction and that the coefficient of friction is 0.22. What is the
normal force now? (e) What is the net force on the block now? (f) What is the block’s
acceleration now?
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