Introduction to SAT II Physics - FreeExamPapers

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When you walk, your feet push the Earth backward. In response, the Earth pushes your feet forward, which is the force that moves you on your way. The second example may seem odd: the Earth doesn’t move upward when you drop a brick. But recall Newton’s Second Law: the acceleration of an object is inversely proportional to its mass (a = F/m). The Earth is about 10 24 times as massive as a brick, so the brick’s downward acceleration of –9.8 m/s 2 is about 10 24 times as great as the Earth’s upward acceleration. The brick exerts a force on the Earth, but the effect of that force is insignificant. Problem Solving with Newton’s Laws Dynamics problem solving in physics class usually involves difficult calculations that take into account a number of vectors on a free-body diagram. SAT II Physics won’t expect you to make any difficult calculations, and the test will usually include the free-body diagrams that you need. Your task will usually be to interpret free-body diagrams rather than to draw them. EXAMPLE 1 The Three Stooges are dragging a 10 kg sled across a frozen lake. Moe pulls with force M, Larry pulls with force L, and Curly pulls with force C. If the sled is moving in the direction, and both Moe and Larry are exerting a force of 10 N, what is the magnitude of the force Curly is exerting? Assuming that friction is negligible, what is the acceleration of the sled? (Note: sin 30 = cos 60 = 0.500 and sin 60 = cos 30 = 0.866.) The figure above gives us a free-body diagram that shows us the direction in which all forces are acting, but we should be careful to note that vectors in the diagram are not drawn to scale: we cannot estimate the magnitude of C simply by comparing it to M and L. What is the magnitude of the force Curly is exerting? Since we know that the motion of the sled is in the direction, the net force, M + L + C, must also 58
e in the direction. And since the sled is not moving in the direction, the y-component of the net force must be zero. Because the y-component of Larry’s force is zero, this implies: where is the y-component of M and is the y-component of C. We also know: If we substitute these two equations for and into the equation , we have: What is the acceleration of the sled? According to Newton’s Second Law, the acceleration of the sled is a = F/m. We know the sled has a mass of 10 kg, so we just need to calculate the magnitude of the net force in the -direction. Now that we have calculated the magnitude of the net force acting on the sled, a simple calculation can give us the sled’s acceleration: We have been told that the sled is moving in the direction, so the acceleration is also in the direction. This example problem illustrates the importance of vector components. For the SAT II, you will need to break vectors into components on any problem that deals with vectors that are not all parallel or perpendicular. As with this example, however, the SAT II will always provide you with the necessary trigonometric values. EXAMPLE 2 59
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SATII PHYSICS (FROM SPARKNOTES.COM)
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The Good • Because SAT II Subject
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Which SAT II Subject Tests to Take
Page 7 and 8: After grumbling, however, you still
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Page 11 and 12: negative, so E, and not A, is the c
Page 13 and 14: including them anyway because it’
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Page 17 and 18: will a visual representation reliev
Page 19 and 20: Physics Hint 6: Be Flexible Knowing
Page 21 and 22: There are a number of ways to label
Page 23 and 24: Adding Parallel Vectors If the vect
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Page 27 and 28: neither parallel nor perpendicular.
Page 29 and 30: Suppose the hands on a clock are ve
Page 31 and 32: Vector Addition Practice Questions
Page 33 and 34: 2. A The vector 2A has a magnitude
Page 35 and 36: path, Alan has traveled a much grea
Page 37 and 38: school student called Andrea. Andre
Page 39 and 40: centimeters to the left of its star
Page 41 and 42: We can learn two things about the a
Page 43 and 44: Acceleration vs. Time Graphs After
Page 45 and 46: The variable represents the object
Page 47 and 48: Note that there are certain conveni
Page 49 and 50: 1. . An athlete runs four laps of a
Page 51 and 52: 10. . A woman runs 40 m to the nort
Page 53 and 54: We know the total distance the spri
Page 55 and 56: Principles of Natural Philosophy. I
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Page 61 and 62: which reflects its resistance to be
Page 63 and 64: In the diagram above, the weight an
Page 65 and 66: A student pushes a box that weighs
Page 67 and 68: 1. . Each of the figures below show
Page 69 and 70: 7. . In the figure above, a person
Page 71 and 72: Since the block is motionless, the
Page 73 and 74: When we are told that a person push
Page 75 and 76: EXAMPLE A water balloon of mass m i
Page 77 and 78: The graph above plots the force exe
Page 79 and 80: Though energy is always measured in
Page 81 and 82: there is a negative amount of work
Page 83 and 84: smallest. The answer to question 3
Page 85 and 86: Mechanical Energy Average Power Ins
Page 87 and 88: to a height of 8 m over a time of 4
Page 89 and 90: 8. C When the book reaches the pers
Page 91 and 92: determining what those right number
Page 93 and 94: the ground. The system is initially
Page 95 and 96: calculators, you almost certainly w
Page 97 and 98: and minimize M.” With such a ques
Page 99 and 100: 2. WHAT IS THE ACCELERATION OF THE
Page 101 and 102: Adding these two equations together
Page 103 and 104: force of friction: . Using Newton
Page 105 and 106: m, placed on a frictionless surface
Page 107 and 108: Frequency is given in units of cycl
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of the spring due to the gravitatio
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The oscillation of a pendulum is mu
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Velocity Calculating the velocity o
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Practice Questions 1. . Two masses,
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7. . An object of mass 3 kg is atta
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Since the system is in equilibrium,
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velocity, v. Linear momentum is den
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Conservation of Momentum If we comb
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As we might expect, the final veloc
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A pool player hits the eight ball,
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two-dimensional collision is effect
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For a System of Two Particles For a
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At the front end of the boat, the f
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4. . A scattering experiment is don
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1. B The athlete imparts a certain
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7. E Momentum is conserved in this
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The diver’s translational motion
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30 π/6 45 π/4 60 π/3 90 π/2 180
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elative position to one another. As
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acceleration given its angular velo
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To find the direction of a rigid bo
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A student exerts a force of 50 N on
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The torque that produces the angula
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The masses in the figure above are
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an object sliding down a frictionle
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Velocity Average Angular Accelerati
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3. . What is the direction of the a
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1. D An object that experiences 120
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At the top of the incline, the disk
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from a Latin word meaning “center
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Newton’s Law of Universal Gravita
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when you are beneath the surface of
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EXAMPLE A satellite of mass is laun
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Kepler’s Laws After poring over t
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Practice Questions Questions 1-3 re
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8. . A satellite orbits the Earth a
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Circumference and radius are relate
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learn how heat is transferred from
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heat, like rubber, have a high spec
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Just as specific heat tells us how
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Conduction is the transfer of heat
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Effectively, this equation tells us
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the way that it does. The Laws of T
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There are a number of equivalent fo
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If we know our formulas, this probl
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5. . An ideal gas is enclosed in a
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Asphalt, like most materials, has a
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The things we call atoms today are
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If they come up on SAT II Physics,
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will move in the opposite direction
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Work The work done to move a charge
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Much like gravitational potential e
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3. . A particle of charge +2q exert
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7. . A particle of charge +q is a d
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The vector sum of the three vectors
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Voltage The batteries we use in fla
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This equation tells us that we can
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If the two variables you know are a
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However, each resistor causes a vol
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So = 4 . WHAT IS THE CURRENT RUNNIN
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Consider again the circuit whose to
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This circuit consists of resistors
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The junction rule deals with “jun
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across the loop. We can express the
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capacitance is halved. The proporti
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The Greek letter is called the diel
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4. . Two resistors, and , are ident
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10. . A dielectric is inserted into
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The equivalent capacitance of two c
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The Earth itself acts like a huge b
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Because the velocity vector and the
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A particle with a positive charge o
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The constant is called the permeabi
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1. . The pointer on a compass is th
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7. . A positively charged particle
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1. B To solve this problem, it is h
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If the particle is to move at a con
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flowing in the counterclockwise dir
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Next, let’s calculate the flux th
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Remember that field lines come out
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Magnetic Flux Faraday’s Law / Len
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5. . A wire carrying 5.0 V is appli
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In this equation, A is the amplitud
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Ernst attaches a stretched string t
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A string is tied to a pole at one e
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other. The principle of superpositi
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Nodes The crests and troughs of a s
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The Doppler Effect So far we have o
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Practice Questions 1. . Which of th
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6. . Two pulses travel along a stri
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1. B Simple harmonic motion is defi
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where and are the frequency heard b
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A higher frequency—and thus a sho
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The phenomenon of refraction result
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Since we know that the ratio of / i
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The four basic kinds of optical ins
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You can test all this yourself with
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Because is a positive number, we kn
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As the diagram shows us, and as the
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At any point P on the back screen,
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Note that the pattern is brightest
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One of the more common ways of test
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3. . When the orange light passes f
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9. . Sound waves do not exhibit pol
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7. E Only concave mirrors and conve
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For people who believed that light
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What does this all mean? Time is re
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A spaceship flying toward the Earth
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Rutherford’s Gold Foil Experiment
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The Wave Theory of Electromagnetic
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The Problem with Rutherford’s Mod
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Don’t worry: you don’t need to
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A hydrogen atom is energized so tha
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where is the uncertainty in a parti
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electrons have mass, it is so negli
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chapters on mechanics are the resul
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You won’t need to calculate the n
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Photoelectro n Radius of Electron O
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5. . An electron is accelerated thr
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according to the formula , where l
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In radioactive substances, the numb
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A scale for measuring temperature,
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The points of maximum displacement
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Electromagnetic spectrum The spectr
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The amount of time it takes for one
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Given the period, T, and semimajor
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The substance that is displaced as
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A back-and-forth movement about an
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Refracted ray Refraction Restoring
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T Tail Tangent A body or set of bod
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Weber Weight The force involved in
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pinpointing what you need to study
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If you got a question wrong because
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