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      Intro 
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I have taught courses in 
  Introductory Physics at Antelope Valley College in 
  Lancaster, CA and Cleveland Chiropractic College in Hollywood, CA. These are 
  
  the study questions I give my students and are supplementary to the questions 
  
  in the textbook. Feel free to use them in any way you wish. I will update this 
  
  area as time permits. The answers will follow a couple of weeks after the 
  questions are posted.
One note: Because of the 
  limitations of web publishing, we use "E" to indicate 
  a number being multiplied by the specified power of ten. For instance, 3.5 E-3 
  
  means 3.5 times ten to the -3 power.
Physics 1 --- Chapter 1 Study Sheet
1) A snail can travel at 
  a rate of 2.3 inches per minute. At the same rate, how 
  many miles will it travel in a year?
2) Convert 3.675 E5 Mg into ng.
3) A rectangular block of 
  Beryllium is measured and found to be 2.48 cm wide, 
  5.77 cm long, and 1.8 cm tall. What is its volume in cubic meters?
4) A right triangle has a 
  68° angle. The adjacent side to that angle measures 
  16 meters. What is the area of the triangle?
5) How many significant figures do the following have?
a) 34.6 
  b) .000045050 
  c) 60000 
  d) 3.400 E-8 
  e) 9200006
6) Convert these decimal numbers to scientific notation:
a) 6190000 
  b) .0000000000577 
  c) 12 
  d) .9 
  e) 30000000
7) Convert these scientific notational numbers to decimal numbers:
a) 4.508 E-5 
  b) 6.88 E11 
  c) 3.81 E-1 
  d) 4 E2
8) Give x and y coordinates for the following points given in polar coordinates:
a) (54 , 30°) 
  b) (600 , 45°) 
  c) (87.5 , 18°)
9) Give r and theta for the following points given in rectangular coordinates:
a) (3 , 4) 
  b) (12 , 24) 
  c) (9.25 , 2.75)
10) Planet X is known to 
  have a mass of 2.85 E24 kg. Assuming it is a perfect 
  sphere in shape, and its diameter is 5.59 E6 m, calculate its density.
11) The mass of the sun is 
  2 E30 kg, and the mass of the Hydrogen atom, of 
  which the sun is mainly composed, is 1.67 E-27 kg. How many Hydrogen atoms 
  are in the sun?
12) The basic function of 
  an automobile carburetor is to atomize the gasoline 
  and mix it with air to promote rapid combustion. Assume that 50 cubic cm of 
  
  gasoline is atomized into N spherical particles, each with a radius of 2.0 E-5 
  m. 
  What is the total surface area of these N spherical droplets?
13) The speed of light is 
  3.00 E8 m/s. If the distance from the sun to the Earth is 
  93,000,000 miles, how long does it take for light to arrive here from the sun? 
  
  (One mile = 1609.344 m)
14) The Andromeda galaxy 
  is about 2 E6 light years distant. The snail in problem 
  #1 would take how long to get there if it were able to do so?
15) How many nanojoules are in one kilojoule?
16) A cement truck is pouring 
  cement for a patio at a rate of 25 cubic yards of 
  cement per hour. Express that in cubic feet per minute.
17) Using a diagram, describe the difference between accuracy and precision.
18) A 30°-60°-90° 
  triangle has a hypotenuse of 24 meters. How long is the side 
  opposite the 60° angle?
19) Derive the expression (sin x)^2 + (cos x)^2 = 1.
20) If sin q = 8/17, find cos q.
21) The road leading from 
  Halloran Summit to Las Vegas is 83 miles long. If we 
  assume that the road is a straight line and the overall downgrade is .35°, 
  calculate 
  the overall descent, in feet, between the two points.
22) A benevolent wizard pops 
  into your life one day and tells you he will give you 
  a billion dollars if you can spend all of it during your lifetime at a rate 
  of exactly 
  one dollar every second. Do you get the moolah?
23) Two points are given 
  in polar coordinates as (3 , 30°) and (6 , 150°). What is 
  the distance between the two points?
24) Most major league pitchers 
  throw a fastball having a velocity of 90 miles per hour. 
  Assuming that the distance from the pitcher to the hitter is 60 feet, how long 
  does the 
  batter have to react once the ball has left the pitcher's hand?
25) A certain west coast 
  beach is 3000 meters long, 30 meters wide, and 4 meters 
  deep. If grains of sand are perfect cubes and measure .25 mm on a side, how 
  many 
  grains of sand are there in the beach?
Physics 1 --- Chapter 2 Study Sheet
1) A recent car commercial 
  states that its latest automobile can go from zero to 
  60 miles per hour in 7.5 seconds. What is its acceleration in SI units?
2) A ride at Magic Mountain 
  plummets riders straight down from a height of ten 
  stories. Given that the average story is twelve feet high, how fast is the ride 
  going 
  when it reaches the ground, in SI units. (3.281 ft = 1 m)
3) Billy is riding his bicycle 
  down a crowded boulevard at 25 miles per hour. All of 
  a sudden a large garbage truck backs out into his way, some 70 feet ahead of 
  him. 
  What must his deceleration be, again in SI units, so that Billy and his bike 
  do not 
  become part of the truck? Assume Billy hits his brakes immediately after seeing 
  
  the truck.
4) The AV College ladies 
  softball team is having a workout in the park. Heather 
  can run all around the bases (60 ft apart) and touch home again in 16.6 s. What 
  is 
  her displacement? What is her average speed? What is her average velocity?
5) One of the girls hits 
  a long home run and the ball gets stuck, some 10.5 m up 
  in a tree. One of her teammates thinks she can throw another ball up at it to 
  knock 
  it down. What is the minimum velocity necessary for the thrown ball to displace 
  the 
  ball stuck in the tree (assuming a touch is all it needs)?
6) A skateboard, accelerating 
  from rest at a constant rate, experiences a 
  displacement of 44 m in 20 s. What is its acceleration?
7) A bowling ball is released 
  at rest from the top of the Washington Monument. 
  It hits the ground after falling for 6.0 s. Assuming air resistance is negligible, 
  
  what was the height from which the ball was dropped?
8) Planet Dirtbag is known 
  to have gravity just two-fifths that of Earth's. If a 
  Dirtbaggian hulaball is projected vertically from the ground at a velocity of 
  63.7 m/s, 
  how long will take take for the hulaball to touch the surface of the planet?
9) When a certain dragster 
  reaches a velocity of 80 m/s, it begins a negative 
  acceleration by releasing a drag chute and applying its brakes. While reducing 
  its 
  velocity back to zero, its acceleration is a constant -7.5 m/s/s. What displacement 
  
  does it undergo during this deceleration period?
10) A rock is thrown downward 
  from the top of a tower with an initial velocity 
  of 14 m/s. If the rock hits the ground after 3.0 s, what is the height of the 
  tower?
11) Michael Johnson set a 
  world record in the 1996 Olympics by running the 200 
  meter dash in 19.32. How fast was his average speed in SI units? How fast is 
  this 
  in miles per hour?
  
  12) Human reaction time averages about .18 s. That benevolent wizard reappears
  in your life again and tells you he will hold a thousand dollar bill just above 
  your open 
  thumb and forefinger and will drop it any moment. The length of the bill is 
  15.5 cm. 
  If your reactions are average, will you catch the money or let it slip thru 
  your fingers? 
  Assume the bill falls straight down without any air resistance.
13) The distance from the 
  Earth to the sun is 93,000,000 miles. Find the velocity 
  of the Earth in its orbit about the sun.
14) A railroad train travels 
  from point A to point B at a rate of 80 miles per hour and 
  returns by the same route at 100 miles per hour. What is its average velocity 
  for 
  the round trip?
15) Two men, each holding 
  a baseball, stand at the top of a building. Each man 
  throws their baseball at a speed of 16 m/s, one straight up and one straight 
  down. 
  The first one hits the street in a time t1. How much later is it for the second 
  ball 
  to hit the street (in terms of t1)?
16) Construct a displacement-time graph with the following specifications:
a) 
  From t=0 to t=2 s, the body travels at a constant 2 m/s
  b) From t=2 to t=4 s, the body remains motionless
  c) From t=4 to t=7 s, the body travels at a constant 1 m/s 
  d) From t=7 to t=9 s, the body travels at a constant -3 m/s
  e) From t=9 to t=10 s, the body remains motionless
  What is the final displacement of the body from its starting position?
  What is its average velocity?
17) Observe the following graph and describe the motion during each interval:
(The graph did not translate into HTML code...sorry)
18) A crazed physics teacher 
  jumps out of an airplane and accelerates with gravity 
  to a maximum velocity of 58.8 m/s in 6 s. He then opens his parachute and after 
  a 
  four second deceleration, descends at 10 m/s for 60 seconds, reaching the ground. 
  
  From what height did the crazed physics teacher jump?
Physics 1 --- Chapter 3 Study Sheet
1) Explain the difference between a vector and a scalar and gives three examples of each.
2) Derive the equation: sin squared theta + cos squared theta = 1.
3) Explain what arithmetic 
  combinations of scalars, vectors, and constants are 
  allowable and what their resultants are.
4) A man is taking his pregnant 
  wife to the hospital to deliver a baby. They live
  14.0 km south and 11.5 km east of the hospital. If they travel unimpeded at 
  a 
  constant speed of 25 m/s, how much time would they save by traveling in a direct 
  
  diagonal line than by rectangular streets as they had to?
5) Add these two force vectors analytically: F1 = (16 N, 50°) + F2 = (12 N, 190°).
6) An ant on a picnic table 
  walks 30 cm eastward, then 25 cm northward, 
  then 10 cm westward. What is the magnitude and direction of the net 
  displacement from his starting point?
7) Three men combine to exert 
  370 N at an angle of 15° above horizontal as 
  they push their broken down 1964 Impala (you know, the one with grey lights 
  
  in the wheel wells, the dingle balls and the tuck-and-roll interior) to a service 
  
  garage. What are the parallel and perpendicular components of their combined 
  
  force relative to the ground?
8) Five dung beetles are 
  fighting over a dungball and are pushing with an equal 
  force but in different directions. They push in these five directions: north, 
  
  northeast, southwest, east, and northwest. What direction will the ball go?
9) Raul Mondesi throws a 
  baseball from deep right field all the way to third base 
  on the fly. The ball is thrown at an initial velocity of 32 m/s and at an initial 
  angle 
  of 27° with respect to the horizontal. If the ball is caught by Todd Zeile 
  at third at 
  the same height as where it was thrown, and the ball is in flight exactly 3.0 
  seconds,
  how far did Raul throw the ball, that is, what is the ball's horizontal displacement?
10) A big game hunter is 
  out on safari in the deepest jungles of Zimbabwe. 
  He spots his prey, a spotted ginger monkey, 30 m above him in a tree which stands 
  
  20 m away from. He knows that the exact instant he fires his rifle, the monkey 
  will 
  drop from his perch and fall to the ground to avoid being hit by the bullet. 
  How far, 
  above or below the monkey, must the hunter aim, in order to hit the monkey?
11) An NFL quarterback wants 
  to throw a football to a wide receiver 30.0 m down 
  the field. If he knows he throws at an initial velocity of 18.0 m/s, at what 
  angle must 
  he throw the ball in order to get the receiver the ball?
  
  12) A rescue helicopter is dropping supplies to a band of stranded explorers. 
  If the 
  helicopter is 150 m above the ground and travels at a constant velocity of 40 
  m/s, 
  how far ahead of the explorers must the care package be dropped to land at their 
  position?
13) A stone is thrown at 
  an angle of 30° above the horizontal with an initial speed 
  of 12 m/s from the top edge of a cliff whose height is 120 m. What is the magnitude 
  
  of the horizontal and vertical components of the stone's velocity the instant 
  it hits the ground?
14) No one has ever long 
  jumped a distance of 30 feet. Given that the absolute top 
  speed that a man can run is 25 miles per hour, find the angle at which he needs 
  to 
  jump, relative to the horizontal, to long jump 30 feet.
15) Dan Marino takes the 
  ball at the line of scrimmage, runs backward for 10 yards,
  then sideways, parallel to the line of scrimmage for 15 yards. Then he throws 
  a 40 yard
  forward pass straight downfield, perpendicular to the line of scrimmage, where 
  his receiver 
  is tackled immediately. How far has the football been displaced from its original 
  position?
16) To qualify with the M-16 
  rifle in the US Army, a soldier must be able to hit targets 
  at 300 yards away. A soldier aims directly at the bullseye but finds that the 
  bullet hits 
  4 inches below the bullseye. What is the bullet's initial velocity? (Here ignore 
  air 
  resistance though it is a real factor.)
17) A two-sided drawbridge 
  malfunctions in front of your car and leaves a gap of 
  12 m in between the two spans of the bridge. If the spans are elevated 22° 
  relative 
  to the horizontal, what must your car's minimum velocity be to be able to safely 
  
  land on the opposite span of the bridge?
18) The highest mountain 
  on Mars is Olympus Mons, rising 22,000 meters above 
  the Martian surface. If we were to throw an object horizontally off the mountain 
  top, 
  how far away, diagonally, from the point of throwing on the mountain top would 
  the 
  object land. The gravity on Mars is .38g.
19) Mickey Mantle hits a 
  baseball with a speed of 44 m/s and at an angle of 30° above 
  the horizontal. A 5 m high fence is located at a horizontal distance of 132 
  m from the 
  point where the ball is struck. Assuming the ball leaves his bat 1 m above the 
  ground, 
  find how much distance the ball clears the fence by.
20) It is a common tale about 
  George Washington that he was able to throw a silver 
  dollar across the Potomac River. Assuming that the river is 75 m wide, and he 
  threw 
  the dollar at a 45° angle, find the minimum initial speed necessary to throw 
  the coin 
  across the river.
  Physics 1 --- Chapter 4 Study Sheet
1) Explain the difference between mass and weight.
2) State Newton's three laws of motion and give an example of each.
3) Explain the two general types of frictional forces and how they are applied.
4) Explain the difference 
  between classical (Newtonian) and relativistic (Einsteinian) 
  mechanics.
5) A block of wood of mass 
  40 kg is acted upon by a constant force of 12 N. 
  How fast will the block be moving after three seconds?
6) The acceleration due to 
  gravity on planet Barf is 3.5 times what it is on planet 
  Earth. Thus an object of mass 22 kg on Earth would have what mass on planet 
  Barf?
7) The acceleration due to 
  gravity on planet Drek is 1.7 times what it is on planet 
  Earth. Thus an object of mass 160 kg on Drek would have what weight on planet 
  Earth?
8) A wagon of weight 300 
  N is accelerated across a level surface at .5 m/s/s. 
  What net force acts on the wagon?
9) An elevator weighing 30000 
  N is supported by four identical steel cables. 
  What is the tension in each cable when the elevator is being accelerated upward 
  
  at a rate of 2.5 m/s/s?
10) A horizontal force of 
  650 N is needed to overcome the force of static friction 
  between a level floor and a 220 kg crate. What is the coefficient of static 
  friction 
  between the wooden crate and the concrete floor?
11) A sailboat with mass 
  2500 kg experiences an eastward force of 4500 N by the 
  ocean tide and a wind force against the sails with magnitude of 5500 N directed 
  
  toward the northwest, i.e., 45° north of west. What is the resulting acceleration 
  in 
  both magnitude and direction?
12) A full boxcar of mass 
  240 tons at rest becomes uncoupled from the train on a 
  12° slope. If the track is considered to be frictionless (hardly possible 
  of course), 
  what velocity does the boxcar have after 8.0 seconds?
13) You are driving your 
  car to school one day when you have to brake suddenly. 
  If you are traveling at a rate of 35 m/s, your car has a mass of 1800 kg, and 
  your 
  braking force is a constant 8000 N, how far does your car travel before coming 
  
  to a complete stop?
  
  14) Mark McGwire strikes an incoming 42 m/s fastball. The ball leaves the bat 
  at 
  54 m/s after a ball-on-bat contact time of .03 s. What force is exerted on the 
  .15 
  kg baseball?
15) Kristi Yamaguchi moves 
  on the ice at 12 m/s and coasts to a halt in 140m 
  on a smooth, level ice surface. What is the coefficient of friction between 
  the 
  ice and the skates?
16) Thelma and Louise are 
  using a rope to pull a safe out of a bank that weighs 
  1200 N across a level surface with constant velocity. The rope makes a 20° 
  angle 
  above the horizontal and the tension in the rope is 250 N. What is the coefficient 
  
  of friction?
17) A 30 kg traffic light 
  hangs midway between two poles 50 m apart. If the sag in 
  the cable is .75 m, what is the tension in each side of the cable?
18) You drive to San Francisco 
  and park your car in front of your friend's house on a 
  rather inclined street. You know that the coefficient of friction between your 
  tires 
  and the street is m = .78. What is the steepest angle, q, that you can park 
  your car 
  (wheels locked) without it slipping downhill?
19) Ingemar Stenmark was 
  skiing at 22 m/s down a 30° snow slope, when he 
  encountered a large patch of wet snow. The wet snow had a coefficient of friction 
  
  of m = .67. How far down the hill did he go before coming to a halt?
20) A 150 N sled is pulled 
  up a 28° slope at a constant speed by a force of 100N. 
  Near the top of the incline, the sled is released. With what acceleration does 
  the 
  sled go back down the hill?
  
Physics 1 --- Chapter 5 Study Sheet
1) Describe the relationship 
  between work, energy, and power; show the equivalence 
  of the units of W=Fd cos q and KE = 1/2 mv2.
2) Give three examples of potential energy and the ways it is converted into kinetic energy.
3) Describe the difference between conservative and non-conservative forces.
4) Describe Hooke's Law and its relation to potential energy stored in a spring.
5) Robin Hood shoots an arrow 
  straight up at an initial velocity of 65 m/s. Using energy 
  considerations only and neglecting air resistance, find the maximum height of 
  the arrow.
6) What is the minimum amount 
  of energy required for an 80 kg climber carrying a 20 kg 
  pack to climb Mt. Everest, a peak 8850 m high?
7) A 60 N crate is pulled 
  up a 7 m inclined plane at a constant velocity. If the plane is 
  inclined at an angle of 25° to the horizontal and there exists a constant 
  force of friction 
  of 8 N between the crate and the surface, what is the net gain in potential 
  energy by the 
  crate in the process?
8) What is the kinetic energy of a 5 oz. baseball thrown at 90 miles per hour?
9) A pile driver drives a 
  3500 kg post through a height of 6.5 m on each stroke. If the 
  resisting force of the ground is 3.5 x 106 N, how far into the earth is the 
  huge post 
  driven on each stroke?
10) A 55 kg woman runs up 
  the Empire State Building stairs, a vertical rise of 320 m, 
  in 9.5 minutes. How much work did she do? What average power did she supply?
11) A simple pedulum, 1.2 
  m in length, is released from rest when the support string 
  is at an angle of 38° from the vertical. What is the speed of the suspended 
  mass at the 
  bottom of the swing?
12) Another simple pendulum, 
  one of 1.8 m in length, is released with a push downward 
  when the support string is at an angle of 27° from the vertical. If the 
  initial push gives it 
  an initial speed of 1.4 m/s at the release point, to what maximum angle will 
  it move in the 
  second half of its swing?
13) The work done by static 
  friction is always: A) positive B) negative C) zero D) against the 
  direction of motion E) along the surface
  
  14) You smack a tennis ball against a wall and notice that the ball only has 
  3/4 of its original 
  speed when it bounces back. What part of its kinetic energy did it lose during 
  its collision 
  with the wall?
15) You and your friends 
  exert a force of 3500 N at an angle of 12° to the horizontal 
  pushing your broken down primer gray 1964 Impala with dingle balls, tuck and 
  roll 
  interior, twice pipes, grey lights in the wheel wells, and "Crystal Blue 
  Persuasion" 
  painted on the rear glass. The car has mass of 1500 kg. You achieve an acceleration 
  of 
  1.7 m/s/s over a distance of 10 meters. What force of friction acts to retard 
  the motion 
  of the car? How much work is done by you and your friends?
16) You ride your bicycle 
  down a hill. Your total mass is 54 kg. At the top of the hill, your 
  speed is 5 m/s. The hill is 18 m high and 165 m long. If the force of friction 
  is 20 N, what is 
  your speed at the bottom of the hill?
17) The Old Faithful geyser 
  in Yellowstone Park shoots water to a height of 40 m nearly 
  every hour. At what velocity must the water leave the ground?
18) Grossbarger T. Zyglewicz, 
  a polish weightlifter, can lift 250 kg to a height of 2 meters
  in 1.75 seconds. How much work does he do and what is his power output?
19) Last time you went water 
  skiing you noticed that the speedboat required 85 kW to 
  move at a constant speed of 18 m/s. What is the resistive force of the water 
  at that speed?
20) Brett Butler throws a 
  .15 kg baseball at a speed of 40 m/s and at initial angle of 22°
  from a height of 2 m. What are the kinetic and potential energies of the ball 
  at the 
  highest point in its trajectory?
21) My MR2 sportscar has 
  a mass of 1120 kg and accelerates from zero to 25 m/s in 7.8 s. 
  What is the average horsepower delivered by the engine? (1 hp = 746 W)
22) A spring platform is 
  constructed for a stunt man to use for simulating the results 
  of a nearby explosion. If the spring is compressed a distance of .375 m, it 
  can launch 
  a 70 kg stunt man to a height of 6 m when released vertically from rest. Neglecting 
  all 
  of the resistive forces, determine the spring constant and the speed of the 
  stunt man 
  as he passes the equilibrium position (x = 0) of the spring.
Physics 1 --- Chapter 6 Study Sheet
1) Describe the relationship between force, momentum, time, mass and velocity.
2) Describe the principle 
  of conservation of momentum; describe how it applies to 
  two-dimensional motion as well as linear motion.
3) Describe the difference 
  between elastic and perfectly inelastic collisions and give 
  an example of each.
4) A 55 kg roller skater 
  accelerates from rest to a speed of 18 m/s in 4.0 s. What is her 
  change in momentum? What force must have been applied? Verify your answer using 
  
  principles of mechanics.
5) A swimmer jumps horizontally 
  off an aluminum skiff (small boat) of mass 175 kg. The 
  swimmer's speed immediately after leaving the skiff is 3.2 m/s. If the skiff 
  moves at a 
  speed of 1.25 m/s, what is the mass of the swimmer?
6) A 4800 kg bus moving at 
  28 m/s rams into a parked car and locks bumpers as the 
  two vehicles continue down the road at 19 m/s. What is the mass of the parked 
  car?
7) A 65 g racquetball, initially 
  moving horizontally at 47 m/s, slams into the wall and 
  rebounds at a speed of 39 m/s. What is its change in momentum?
8) An army howitzer of mass 
  3200 kg fires a 70 kg shell with a velocity of 220 m/s at an 
  angle of 40° above the horizontal. Given that the howitzer rides on frictionless 
  wheels, 
  what is the recoil velocity of the howitzer along the level ground on which 
  it sits?
9) A machine gun is attached 
  to a railroad flat car of mass 1.45 x 105 kg which is able 
  to roll with negligible friction. How many bullets of mass 16 g must be fired 
  at 330 m/s 
  off the back by the gun so that the railcar achieves a forward speed of 1.0 
  m/s?
10) Roger Clemens throws 
  a 150 g baseball at Junior Griffey at a speed of 42 m/s. The 
  batter hits the ball straight back at the pitcher with a return speed of 58 
  m/s. If the bat 
  is in contact with the ball for .045 s, what is the impulse experienced by the 
  ball?
11) A pendulum bob of mass 
  50 g is suspended from a string 1.4 m long at an angle of 
  28° from the vertical. If the pendulum is released from rest and strikes 
  an 80 g ice 
  puck at the lowest point in its swing, what will the speed of the ice puck be 
  if all of the 
  pendulum's momentum is transferred to the puck?
  
  12) A loaded freight train of mass 45,000 kg is coasting at a constant speed 
  of 2.2 
  m/s along a horizontal track. It collides and couples with an empty, motionless 
  railcar 
  of mass 20,000 kg. What percentage of the initial kinetic energy of the larger 
  train is 
  retained by it after the collision?
13) If the momentum of an 
  object is raised by a factor of nine, by what factor is its 
  kinetic energy changed?
14) If the kinetic energy of an object is cut by 50%, how does its momentum change?
15) A 3 kg ball traveling 
  eastward at 6 m/s collides elastically with a 4 kg ball traveling 
  westward at 3 m/s. What are the final velocities of the balls after the collision?
16) A billiard ball traveling 
  at 1.4 m/s strikes two identical balls such that one ball rolls 
  off at 40° relative to the direction of the striking ball, and the other 
  rolls of at -50°. Given 
  that the striking ball is motionless after the collision, what is the ratio 
  of the speeds of 
  the first struck ball to the second struck ball after the collision?
17) A 7.4 kg bowling ball 
  strikes a 1.8 kg bowling pin. The pin flies forward at a velocity 
  of 6.2 m/s while the ball continues forward with a velocity of 3.9 m/s. What 
  was the 
  bowling ball's original velocity?
18) A billiard ball moving 
  at 2.7 m/s strikes a stationary ball of the same mass. After the 
  collision, the original ball moves forward at a velocity of 2.1 m/s at an angle 
  of 34° 
  relative to its orginal motion. Find the velocity and direction of the struck 
  ball after the 
  collision?
19) Emmitt Smith, mass 105 
  kg, is running north at 11 m/s. He is tackled in an inelastic 
  collision by Refrigerator Perry, mass 155 kg, running south at 4 m/s. What is 
  the final 
  velocity of the two players just after the tackle?
20) A 10 g bullet is fired 
  into a 200 g block of wood at rest on a horizontal surface. After 
  impact the block slides 8.0 m before coming to rest. If the coefficient of friction 
  is 
  m = 0.4, find the speed of the bullet before impact.
Physics 1 --- Chapter 7 Study Sheet
1) Explain the relationship 
  between arc length, angular displacement, and the radius in 
  circular motion. Convert radians to degrees and vice-versa.
2) Explain the derivation of angular velocity and its relation to linear (or tangential) velocity.
3) Explain the derivation of tangential acceleration and its relation to linear acceleration.
4) Explain the vectorial 
  properties of centripetal force, centripetal acceleration, tangential 
  acceleration, and linear velocity.
5) Describe Newton's Law of Universal Gravitation in both symbols and words.
6) State and describe Kepler's three laws of planetary motion.
7) A helicopter has rotor 
  blades 3.5 m long and rotating at 650 rpm. What is the tangential 
  velocity of each blade tip and what is the centripetal acceleration that must 
  act 2.2 m from 
  the axis of rotation?
8) A 650 g mass, attached 
  at the end of a 83 cm string, is whirled around in a circular 
  horizontal path. If the maximum tension the string can withstand is 480 N, what 
  is the 
  maximum velocity the mass can have if the string is not to break?
9) A .180 m radius grinding 
  wheel, starting at rest, develops an angular velocity of 12.5 
  rad/s in a time interval of 3.65 s. What is the centripetal acceleration of 
  a point .116 m from 
  the center when the wheel is moving at an angular velocity of 12.5 rad/s?
10) A Ferris wheel, rotating 
  initially with an angular velocity of .58 rad/s, accelerates over 
  an 8.3 second interval at a rate of .047 rad/s/s. What is its angular velocity 
  after this time 
  interval and what angular displacement (in radians and degrees) does the Ferris 
  wheel 
  undergo in the 8.3 s?
11) A 35.0 kg bowling ball 
  is transported to the surface of planet X where it is found to have 
  a weight of 1450 N. The radius of the planet is known to be 4.55 x 10E6 m. What 
  is the mass 
  of planet X? (G = 6.67 x 10-11 N·m2/kg2)
12) What is the angular velocity 
  about the center of the Earth for a person standing on the 
  equator? 
  
  13) If the diameter of the Earth is 7827 miles, calculate the linear speed due 
  to the Earth's 
  rotation for a person standing at the equator of the Earth.
14) The cord of a weed whacker 
  is .18 m in length. If the motor rotates at 24 rev/s, what is the
  tangential velocity of the end of the cord?