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4. . A 1 kg mass on a frictionless inclined plane is connected by a pulley to a hanging 0.5 kg mass, as in the diagram above. At what angle will the system be in equilibrium? cos 30Âº = sin 60Âº = , cos 60Âº = sin 30Âº = 1/2, cos 45Âº = sin 45Âº = 1/ . (A) 0Âº (B) –30Âº (C) 30Âº (D) 45Âº (E) 60Âº 5. . An object of mass m rests on a plane inclined at an angle of . What is the maximum value for the coefficient of static friction at which the object will slide down the incline? (A) (B) (C) (D) (E) 6. . A mass on a frictionless surface is attached to a spring. The spring is compressed from its equilibrium position, B, to point A, a distance x from B. Point C is also a distance x from B, but in the opposite direction. When the mass is released and allowed to oscillated freely, at what point or points is its velocity maximized? (A) A (B) B (C) C (D) Both A and C (E) Both A and B 116
7. . An object of mass 3 kg is attached to a spring of spring constant 50 N/m. How far is the equilibrium position of this spring system from the point where the spring exerts no force on the object? (A) 0.15 m (B) 0.3 m (C) 0.5 m (D) 0.6 m (E) 1.5 m Questions 8–10 refer to a pendulum in its upward swing. That is, the velocity vector for the pendulum is pointing in the direction of E. 8. . What is the direction of the force of gravity on the pendulum bob? (A) A (B) B (C) C (D) D (E) E 9. . What is the direction of the net force acting on the pendulum? (A) A (B) B (C) C (D) D (E) E 10. . If the pendulum string is suddenly cut, what is the direction of the velocity vector of the pendulum bob the moment it is released? (A) A (B) B (C) C (D) D (E) E Explanations 1. A If the pulley system doesn’t move, then the net force on both masses is zero. For mass m, that means that the force of gravity, mg, pulling it downward, is equal to the force of tension in the rope, pulling it upward. If the force of tension pulling mass m upward is mg, then the force of tension pulling mass M toward the edge 117
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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
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After grumbling, however, you still
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Waves 15-19% 11-15 Waves 10% 7-8 Op
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negative, so E, and not A, is the c
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including them anyway because it’
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Two positively charged particles, o
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will a visual representation reliev
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Physics Hint 6: Be Flexible Knowing
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There are a number of ways to label
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Adding Parallel Vectors If the vect
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The result of multiplying A by c is
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neither parallel nor perpendicular.
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Suppose the hands on a clock are ve
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Vector Addition Practice Questions
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2. A The vector 2A has a magnitude
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path, Alan has traveled a much grea
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school student called Andrea. Andre
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centimeters to the left of its star
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We can learn two things about the a
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Acceleration vs. Time Graphs After
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The variable represents the object
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Note that there are certain conveni
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1. . An athlete runs four laps of a
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10. . A woman runs 40 m to the nort
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We know the total distance the spri
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Principles of Natural Philosophy. I
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The component form of Newton’s Se
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e in the direction. And since the s
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which reflects its resistance to be
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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
Page 109 and 110: of the spring due to the gravitatio
Page 111 and 112: The oscillation of a pendulum is mu
Page 113 and 114: Velocity Calculating the velocity o
Page 115: Practice Questions 1. . Two masses,
Page 119 and 120: Since the system is in equilibrium,
Page 121 and 122: velocity, v. Linear momentum is den
Page 123 and 124: Conservation of Momentum If we comb
Page 125 and 126: As we might expect, the final veloc
Page 127 and 128: A pool player hits the eight ball,
Page 129 and 130: two-dimensional collision is effect
Page 131 and 132: For a System of Two Particles For a
Page 133 and 134: At the front end of the boat, the f
Page 135 and 136: 4. . A scattering experiment is don
Page 137 and 138: 1. B The athlete imparts a certain
Page 139 and 140: 7. E Momentum is conserved in this
Page 141 and 142: The diver’s translational motion
Page 143 and 144: 30 π/6 45 π/4 60 π/3 90 π/2 180
Page 145 and 146: elative position to one another. As
Page 147 and 148: acceleration given its angular velo
Page 149 and 150: To find the direction of a rigid bo
Page 151 and 152: A student exerts a force of 50 N on
Page 153 and 154: The torque that produces the angula
Page 155 and 156: The masses in the figure above are
Page 157 and 158: an object sliding down a frictionle
Page 159 and 160: Velocity Average Angular Accelerati
Page 161 and 162: 3. . What is the direction of the a
Page 163 and 164: 1. D An object that experiences 120
Page 165 and 166: 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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