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Test Quiz

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1) Simplify and evaluate the expression for a = -0.5, b = 2.5.
2.5a - 3b(-4.1 + a(-3.3b - b) - b) + a

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2) Simplify and evaluate the expression for a = -0.5, b = 2.5.
2.5a - 3b(-4.1 + a(-3.3b - b) - b) + a

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Math Test Quiz

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1) A sound wave travels through a metal rod with wavelength λ and frequency f. Which of the following is true? Select two answers.

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2)

Which of the following will decrease the current through R3 in the circuit above? Select two answers.

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3) N resistors (N > 2) are connected in parallel with a battery of voltage $v_{o}$. If one of the resistors is removed from the circuit, which of the following quantities will decrease? Select two answers.

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4)

A 2 kg mass is attached to a massless, 0.5 m string and is used as a simple pendulum by extending it to an angle θ = 5° and allowing it to oscillate. Which of the following changes will change the period of the pendulum? Select two answers.

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5) An object traveling at x m/s can stop at a distance d m with a maximum negative acceleration. If the car is traveling at 2x m/s, which of the following statements are true? Select two answers.

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6)

In the figure above, four charges are arranged. If the magnitudes of all the charges q are all the same and the distance r between them is as shown above, what is the magnitude of the net force on the bottom right charge in terms of q, r, and k (where $k=\cfrac{1}{4\pi \epsilon _{0}}$)?

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7) What happens to the electric force between two point charges if the magnitude of both charges are doubled, and the distance between them is halved?

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8)

A Wheatstone bridge (diagram above) is a configuration of resistors and a sensitive current meter, called a galvanometer, that is used to determine the resistance of an unknown resistor. In the Wheatstone bridge shown here, find the value of $R_{x}$ such that the current through galvanometer G is zero.

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9)

A circuit consists of a 500 Ω resistor connected to a variable voltage source. The voltage is increased linearly from 0 V to 5 V over a period of 20 s, as shown in the graph above. Which of the following graphs corresponds to the power dissipated by the resistor as a function of time?

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10) If $R_{1}$ were to burn out, the current coming out from the battery would

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11)

If V = 100 V, $R_{1} =50$Ω, $R_{2} =80$Ω and $R_{3} =120$Ω determine the voltage across $R_{3}$.

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12)

Determine the total power dissipated through the circuit shown above in terms of V, $R_{1}$, $R_{2}$, and $R_{3}$.

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13) You are standing on a railroad track as a train approaches at a constant velocity. Suddenly the engineer sees you, applies the brakes, and sounds the whistle. Which of the following describes the sound of the whistle as you hear it starting from that moment?

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14) A flute supports standing waves with pressure nodes at each end. The lowest note a flute can play is 261.63 Hz. What is the approximate length of the flute? (speed of sound in air = 343 m/s)

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15) A student is experimenting with a simple spring-block oscillator of spring constant k and amplitude A. The block attached to the spring has a mass of M. If the student places a small block of mass m on top of the original block, which of the following is true?

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16) In a spring-block oscillator, the maximum speed of the block is

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17) The Gravitron is a carnival ride that looks like a large cylinder. People stand inside the cylinder against the wall as it begins to spin. Eventually, it is rotating fast enough that the floor can be removed without anyone falling. Given then the coefficient of friction between a person’s clothing and the wall is μ, the tangential speed is v, and the radius of the ride is r, what is greatest mass that a person can be to safely go on this ride?

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18) A toy car and a toy truck collide. If the toy truck’s mass is double the toy car’s mass, then, compared to the acceleration of the truck, the acceleration of the car during the collision will be

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19) If an object’s kinetic energy is doubled what happens to its speed?

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20) A sound wave with frequency f travels through air at speed v. With what speed will a sound wave with frequency 4f travel through the air?

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21) Pretend someone actually managed to dig a hole straight through the center of the Earth all the way to the other side. If an object were dropped down that hole, which of the following would best describe its motion? Assume ideal conditions and that the object cannot be destroyed.

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22) Which of the following best describes the relationship between the magnitude of the tension force, $F_{T}$, in the string of a pendulum and the radial component of gravity that pulls antiparallel to the tension, $F_{g, radical}$? Assume that the pendulum is only displaced by a small amount.

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23)

The picture above depicts the collision of two balls of equal mass. Which arrow best indicates the direction of the impulse on Ball A from Ball B during the collision?

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24)

The graph above shows the velocities of two objects undergoing a head-on collision. Given that Object 1 has 4 times the mass of Object 2, which type of collision is it?

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25)

A box of mass m is sitting on an incline of 45° and it requires an applied force F up the incline to get the box to begin to move. What is the maximum coefficient of static friction?

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26) A block is dragged along a table and experiences a frictional force, f, that opposes its movement. The force exerted on the block by the table is

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27)

An object of mass m1 experiences a linear, elastic collision with a stationary object of unknown mass. In addition to m1, what is the minimum necessary information that would allow you to determine the mass of the second object?

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28)

In the diagram above, a mass m starting at point A is projected with the same initial horizontal velocity $V_{o}$ along each of the three tracks shown here (with negligible friction) sufficient in each case to allow the mass to reach the end of the track at point B. (Path 1 is directed up, path 2 is directed horizontal, and path 3 is directed down.) The masses remain in contact with the tracks throughout their motions. The displacement A to B is the same in each case, and the total path length of path 1 and 3 are equal. If $t_{1}$, $t_{2}$, and $t_{3}$ are the total travel times between A and B for paths 1, 2, and 3, respectively, what is the relation among these times?

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29)

Two objects, a sphere and a block of the same mass, are released from rest at the top of an inclined plane. The sphere rolls down the inclined plane without slipping. The block slides down the plane without friction. Which object reaches the bottom of the ramp first?

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30)

A wooden block experiences a frictional force, f, as it slides across a table. If a block of the same material with half the height and twice the length were to slide across the table, what would be the frictional force it experienced?

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31)

Given that the Earth’s mass is m, its tangential speed as it revolves around the Sun is v, and the distance from the Sun to the Earth is r, which of the following correctly describes the work done by the centripetal force, $W_{c}$, in one year’s time?

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32)

A girl of mass m and a boy of mass 2m are sitting on opposite sides of a see-saw with its fulcrum in the center. Right now, the boy and girl are equally far from the fulcrum, and it tilts in favor of the boy. Which of the following would NOT be a possible method to balance the see saw?

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33) Which of the following concerning uniform circular motion is true?

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34)

Which of the following correctly describes the motion of a real object in free fall? Assume that the object experiences drag force proportional to speed and that it strikes the ground before reaching terminal sped.

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35) A sphere starts from rest atop a hill with a constant angle of inclination and is allowed to roll without slipping down the hill. What force provides the torque that causes the sphere to rotate?

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36)

A moon has an elliptical orbit about the planet as shown above. At point A, the Moon has speed $V_{A}$ and is at a distance $R_{A}$ from the planet. At point B, the Moon has a speed of vB. Which of the following correctly explains the method for determining the distance of the Moon from the planet at point B in the given quantities?

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37)

The diagram above shows a top view of an object of mass M on a circular platform of mass 2M that is rotating counterclockwise. Assume the platform rotates without friction. Which of the following best describes an action by the object that will increase the angular speed of the entire system?

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38)

If a roller coaster cart of mass m was not attached to the track, it would still remain in contact with a track throughout a loop of radius r as long as

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39)

In the figure above, two blocks of mass 3m and 2m are attached together. The plane is frictionless and the pulley is frictionless and massless. The inclined portion of the plane creates an angle θ with the horizontal floor. What is the acceleration of the block 2m if both blocks are released from rest (gravity = g)?

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40) A person is pulling a block of mass m with a force equal to its weight directed 30° above the horizontal plane across a rough surface, generating a friction f on the block. If the person is now pushing downward on the block with the same force 30° above the horizontal plane across the same rough surface, what is the friction on the block? (µk is the coefficient of kinetic friction across the surface.)

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41)

Consider the above configuration of masses attached via a massless rope and pulley over a frictionless inclined plane. What is the acceleration of the masses?

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42) Two objects have a mass 1 kg and carry a charge of magnitude 1 C each. Which statement correctly identifies the relationship between the magnitude of the force of gravity, Fg, and the magnitude of the electric force, FE, between the objects?

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43) Which of the following graphs best represents the force of friction on an object starting at rest that eventually starts sliding across a level surface due to a gradually increasing horizontal force?

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44)

A person standing on a horizontal floor is acted upon by two forces: the downward pull of gravity and the upward normal force of the floor. These two forces

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45)

A bubble in a glass of water releases from rest at the bottom of the glass and rises at acceleration a to the surface in t seconds. How much farther does the bubble travel in its last second than in its first second?

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46)

A ball is thrown in a projectile motion trajectory with an initial velocity v at an angle θ above the ground. If the acceleration due to gravity is –g, which of the following is the correct expression of the time it takes for the ball to reach its highest point, y, from the ground?

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47)

What is the total distance traveled by the object?

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48)

During which segment is the magnitude of average acceleration greatest?

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49)

Which of the following correctly ranks the change in kinetic energy for each segment from least to greatest?

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50)

An object is thrown horizontally to the right off a high cliff with an initial speed of 7.5 m/s. Which arrow best represents the direction of the object’s velocity after 2 seconds? (Assume air resistance is negligible.)