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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.

When this sound wave passes into air, the frequency will change.

When this sound wave passes into air, the wavelength will change.

While in the metal rod, the λ and frequency f have a direct relationship.

While in the metal rod, the λ and frequency f have an inverse relationship.

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2) APPHY1-049

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

A decrease in $R_{1}$

An increase in $R_{1}$

An increase in $R_{2}$

An increase in $R_{3}$

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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.

The voltage across any of the remaining resistors

The current output by the battery

The total power dissipated in the circuit

The voltage supplied by the battery

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4) APPHY1-047

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.

Replacing the mass with a 1 kg mass

Changing the initial extension of the pendulum to a 10° angle

Replacing the string with a 0.25 m string

Moving the pendulum to the surface of the Moon

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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.

The stopping time is doubled.

The stopping time is quadrupled.

The stopping distance is doubled.

The stopping distance is quadrupled.

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6) APPHY1-045

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 $k=\cfrac{1}{4\pi \epsilon _{0}}$ )?

$k\left(\cfrac{q^{2}}{2r^{2}}\right)\left( 1+\sqrt{2}\right)$

$k\left(\cfrac{q^{2}}{r^{2}}\right)\left( 1+\sqrt{2}\right)$

$k\left(\cfrac{q^{2}}{2r^{2}}\right)$

$k\left(\cfrac{q^{2}}{r^{2}}\right)$

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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?

The force is halved.

The force remains the same.

The force is quadrupled.

The force increases by a factor of 16.

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8) APPHY1-043

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.

25 Ω

15 Ω

10 Ω

2.5 Ω

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9) APPHY1-042

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

increase

decrease

stay the same

There is no current, because the circuit is now incomplete.

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11) APPHY1-039-041

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

100 V

60 V

40 V

20 V

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12) APPHY1-039-041

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

$\cfrac{V^{2}}{R_{1} +R_{2} +R_{3}}$

$\cfrac{R_{1} +R_{2} +R_{3}}{V^{2}}$

$\cfrac{R_{1}( R_{2} +R_{3})}{V^{2}( R_{1} +R_{2} +R_{3})}$

$\cfrac{V^{2}( R_{1} +R_{2} +R_{3})}{R_{1}( R_{2} +R_{3})}$

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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?

Loudness increasing, pitch increasing

Loudness increasing, pitch constant

Loudness decreasing, pitch increasing

Loudness increasing, pitch decreasing

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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)

32.8 cm

65.5 cm

76.3 cm

131 cm

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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?

The small block is most likely to slide off when the original block is at maximum displacement from the equilibrium position, but will not slide off as long as the coefficient of static friction between the blocks is greater than kA/[(M+m)g].

The small block is most likely to slide off when the original block is at the equilibrium position, but will not slide off as long as the coefficient of static friction between the blocks is greater than kA/[(M+m)g].

The small block is most likely to slide off when the original block is at maximum displacement from the equilibrium position, but will not slide off as long as the coefficient of static friction between the blocks is greater than (M+m)g/(kA).

The small block is most likely to slide off when the original block is at the equilibrium position, but will not slide off as long as the coefficient of static friction between the blocks is greater than (M+m)g/(kA).

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

proportional to amplitude

proportional to the square of amplitude

proportional to the square root of amplitude

inversely proportional to the square root of amplitude

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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?

$\mu v^{2} /( rg)$

$r^{v} v^{2} /( \mu g)$

$rg/\left( \mu v^{2}\right)$

None of the above.

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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

double the magnitude and in the same direction

double the magnitude and in the opposite direction

half the magnitude and in the same direction

half the magnitude and in the opposite direction

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

It increases by a factor of $\sqrt{2} /2$ .

It increases by a factor of $\sqrt{2}$ .

It is doubled.

It is quadrupled.

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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?

v/4

v

2v

4v

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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.

It would fall to the center of the Earth and stop there.

It would fall through the hole to the other side, continue past the opposite side’s opening, and fly into space.

It would oscillate back and forth from one opening to the other indefinitely.

It would fall to the other side and stop there.

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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.

$F_{T} >F_{g, radical}$

$F_{T} \geq F_{g, radical}$

$F_{T} =F_{g, radical}$

$F_{T} \leq F_{g, radical}$

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23) APPHY1-028

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) APPHY1-027

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?

Perfectly elastic

Perfectly inelastic

Inelastic

Cannot be determined

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25) APPHY1-026

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?

$\left(\cfrac{\sqrt{2} F}{mg}\right) -1$

$\left(\cfrac{\sqrt{2} F}{mg}\right)$

$\left(\cfrac{\sqrt{2} F}{mg}\right) +1$

$\left(\cfrac{2F}{mg}\right) -1$

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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

zero

parallel to the table

perpendicular to the table

neither parallel nor perpendicular to the table

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27) APPHY1-024

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?

The final speed of object 1

The initial speed of object 1

The final speed of object 2

Any 2 of the above values

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28) APPHY1-023

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) APPHY1-022

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?

The sphere, because it gains rotational kinetic energy, but the block does not

The sphere, because it gains mechanical energy due to the torque exerted on it, but the block does not

The block, because it does not lose mechanical energy due to friction, but the sphere does

The block, because it does not gain rotational kinetic energy, but the sphere does

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30) APPHY1-021

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?

(1/2)f

f

2f

4f

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31) APPHY1-020

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?

$W_{c} >2r\left( mv^{2} /r\right)$

$W_{c} =2r\left( mv^{2} /r\right)$

Cannot be determined

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32) APPHY1-019

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?

Move the boy to half his original distance from the fulcrum.

Move the girl to double her original distance from the fulcrum.

Allow a second girl of mass m to join the first.

Move the fulcrum to half its original distance from the boy.

33 / 50

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

The centrifugal force is the action-reaction pair of the centripetal force.

The centripetal acceleration and velocity point in the same direction.

The velocity of the object in motion changes, whereas the acceleration of the object is constant.

A satellite undergoing uniform circular motion is falling toward the center in a circular path.

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34) APPHY1-017

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.

It will fall with increasing speed and increasing acceleration.

It will fall with increasing speed and decreasing acceleration.

It will fall with decreasing speed and increasing acceleration.

It will fall with decreasing speed and decreasing acceleration.

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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?

Static friction

Kinetic friction

The normal force of the hill on the sphere

Gravity

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36) APPHY1-015

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?

Conservation of Angular Momentum, because the gravitational force exerted by the Moon on the planet is the same as that exerted by the planet on the moon.

Conservation of Angular Momentum, because the gravitational force exerted on the Moon is always directed toward the planet.

Conservation of Energy, because the gravitational force exerted on the Moon is always directed toward the planet.

Conservation of Energy, because the gravitational force exerted by the Moon on the planet is the same as that exerted by the planet on the Moon.

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37) APPHY1-014

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?

The object moves toward the center of the platform, increasing the total angular momentum of the system.

The object moves toward the center of the platform, decreasing the rotational inertia of the system.

The object moves away from the center of the platform, increasing the total angular momentum of the system.

The object moves away from the center of the platform, decreasing the rotational inertia of the system.

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38) APPHY1-013

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

$v\leq \sqrt{( rg)}$

$v\geq \sqrt{( rg)}$

$v\leq \sqrt{( rg/m)}$

$v\geq \sqrt{( rg/m)}$

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39) APPHY1-012

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)?

$2mg$

$\left(\cfrac{2}{5}\right) g sin \theta$

$\left(\cfrac{2}{3}\right) g sin \theta$

$\left(\cfrac{3}{5}\right) g sin \theta$

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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.)

f

1.5f

2f

3f

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41) APPHY1-010

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?

$( m_{1} -m_{2}) g/( m_{1} +m_{2})$

$( m_{1} -m_{2} sin \theta ) g/( m_{1} +m_{2})$

$( m_{1} -m_{2} cos \theta ) g/( m_{1} +m_{2})$

$g$

42 / 50

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?

$F_{g} >F_{E}$

$F_{g} =F_{E}$

Cannot be determined without knowing the sign of the charges.

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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?

44 / 50

44) APPHY1-007

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

have equal magnitudes and form an action-reaction pair

have equal magnitudes and do not form an action-reaction pair

have unequal magnitudes and form an action-reaction pair

have unequal magnitudes and do not form an action-reaction pair

45 / 50

45)

APPHY1-006

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?

$at$

$( t-1) a$

$( t+1) a$

$\cfrac{1}{2} at$

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46) APPHY1-005

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?

$v^{2} sin t/g$

$-v cos \theta /g$

$v sin \theta /g$

$v^{2} cos \theta /g$

47 / 50

47) APPHY1-002-004

What is the total distance traveled by the object?

32m

34m

36m

38m

48 / 50

48)

APPHY1-002-004

During which segment is the magnitude of average acceleration greatest?

AB

BC

CD

DE

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49) APPHY1-002-004

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

BC, EF, DE, CD, AB

AB, CD, DE, EF, BC

BC, EF, DE, CD, AB

CD, DE, EF, BC, AB

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50) APPHY1-001

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.)

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