Introduction to SAT II Physics - FreeExamPapers

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7. . What is the angular acceleration of a 0.1 kg record with a radius of 0.1 m to which a torque of 0.05 N Â· m is applied? The moment of inertia of a disk spinning about its center is 1 / 2 MR 2 . (A) 0.1 rad/s 2 (B) 0.5 rad/s 2 (C) 1 rad/s 2 (D) 5 rad/s 2 (E) 10 rad/s 2 8. . A disk of mass m and radius R rolls down an inclined plane of height h without slipping. What is the velocity of the disk at the bottom of the incline? The moment of inertia for a disk is 1 / 2 mR 2 . (A) (B) (C) (D) (E) 9. . A catapult with a basket of mass 50 kg launches a 200 kg rock by swinging around from a horizontal to a vertical position with an angular velocity of 2.0 rad/s. Assuming the rest of the catapult is massless and the catapult arm is 10 m long, what is the velocity of the rock as it leaves the catapult? (A) 10 m/s (B) 20 m/s (C) 25 m/s (D) 50 m/s (E) 100 m/s 10. . How should the mass of a rotating body of radius r be distributed so as to maximize its angular velocity? (A) The mass should be concentrated at the outer edge of the body (B) The mass should be evenly distributed throughout the body (C) The mass should be concentrated at the axis of rotation (D) The mass should be concentrated at a point midway between the axis of rotation and the outer edge of the body (E) Mass distribution has no impact on angular velocity Explanations 162
1. D An object that experiences 120 revolutions per minute experiences 2 revolutions per second; in other words, it rotates with a frequency of 2 Hz. We have formulas relating frequency to angular velocity and angular velocity to linear velocity, so solving this problem is simply a matter of finding an expression for linear velocity in terms of frequency. Angular and linear velocity are related by the formula , so we need to plug this formula into the formula relating frequency and angular velocity: 2. D Frequency and angular velocity are related by the formula , and angular velocity and angular acceleration are related by the formula . In order to calculate the washing machine’s acceleration, then, we must calculate its angular velocity, and divide that number by the amount of time it takes to reach that velocity: 3. B You need to apply the right-hand rule in order to solve this problem. Extend the fingers of your right hand upward so that they point to the 0-second point on the clock face, and then curl them around so that they point downward to the 30-second point on the clock face. In order to do this, you’ll find that your thumb must be pointing inward toward the clock face. This is the direction of the angular velocity vector. 4. D The torque on an object is given by the formula , where F is the applied force and r is the distance of the applied force from the axis of rotation. In order to maximize this cross product, we need to maximize the two quantities and insure that they are perpendicular to one another. Statement I maximizes F and statement III demands that F and r maximizes it, so statement II is false. be perpendicular, but statement II minimizes rather than 5. C 163
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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
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A student pushes a box that weighs
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1. . Each of the figures below show
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7. . In the figure above, a person
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Since the block is motionless, the
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When we are told that a person push
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EXAMPLE A water balloon of mass m i
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The graph above plots the force exe
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Though energy is always measured in
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there is a negative amount of work
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smallest. The answer to question 3
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Mechanical Energy Average Power Ins
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to a height of 8 m over a time of 4
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8. C When the book reaches the pers
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determining what those right number
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the ground. The system is initially
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calculators, you almost certainly w
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and minimize M.” With such a ques
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2. WHAT IS THE ACCELERATION OF THE
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Adding these two equations together
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force of friction: . Using Newton
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m, placed on a frictionless surface
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Frequency is given in units of cycl
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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 and 116: Practice Questions 1. . Two masses,
Page 117 and 118: 7. . An object of mass 3 kg is atta
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,
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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
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Page 145 and 146: elative position to one another. As
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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
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Page 165 and 166: At the top of the incline, the disk
Page 167 and 168: from a Latin word meaning “center
Page 169 and 170: Newton’s Law of Universal Gravita
Page 171 and 172: when you are beneath the surface of
Page 173 and 174: EXAMPLE A satellite of mass is laun
Page 175 and 176: Kepler’s Laws After poring over t
Page 177 and 178: Practice Questions Questions 1-3 re
Page 179 and 180: 8. . A satellite orbits the Earth a
Page 181 and 182: Circumference and radius are relate
Page 183 and 184: learn how heat is transferred from
Page 185 and 186: heat, like rubber, have a high spec
Page 187 and 188: Just as specific heat tells us how
Page 189 and 190: Conduction is the transfer of heat
Page 191 and 192: Effectively, this equation tells us
Page 193 and 194: the way that it does. The Laws of T
Page 195 and 196: There are a number of equivalent fo
Page 197 and 198: If we know our formulas, this probl
Page 199 and 200: 5. . An ideal gas is enclosed in a
Page 201 and 202: Asphalt, like most materials, has a
Page 203 and 204: The things we call atoms today are
Page 205 and 206: If they come up on SAT II Physics,
Page 207 and 208: will move in the opposite direction
Page 209 and 210: Work The work done to move a charge
Page 211 and 212: 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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