CALCULUS BASED PHYSICS 1 All IN SOURCE BY JAYSON LUCENA VERSION 3.0

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CALCULUS BASED PHYSICS 1 All IN SOURCE BY JAYSON LUCENA VERSION 3.0

IN SOURCE BY JAYSON LUCENA
JAYSON C.LUCENA
CREATOR

Calculus Based-Physics 1
Prelim Exam
First Attempt 28/30
Question 1

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A box is to be moved across a level surface. A force of magnitude 200 N may be applied at an
angle of 30° below the horizontal to push the box or at an angle of 30° above the horizontal to
pull the box, either application sufficient to overcome friction and move the box. Which
application will cause the box to have the greater acceleration?
Select one:
a. more information is needed
b. the one above the horizontal

c. the one below the horizontal
d. both give equal acceleration
Question 2

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A physics student is riding on a train traveling north. Having read about inertia, the student
performs an experiment with a golf ball. He reaches over the aisle and drops the ball from
rest. Instead of hitting the floor directly below the student’s hand, it hits to the north, i.e.,
forward of that position. Which of the following might be the cause for this to happen?
Select one:
a. The train is slowing down.

b. The train is speeding up.
c. The train is moving at constant velocity.
d. Whatever the cause, it cannot be any of the answers given.
Question 3

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A block is launched up an incline plane. After going up the plane, it slides back down to its
starting position. The coefficient of friction between the block and the plane is 0.3. The time
for the trip up the plane:
Select one:
a. is the same as the time for the trip down.
b. is more than the time for the trip down.
c. is less than the time for the trip down.

d. cannot be found without knowing the angle of inclination.
Question 4

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4.4 Further Applications of Newton’s Laws
A 12-kg mass is placed on a 25.0° incline, and friction keeps it from sliding. The coefficient
of static friction in this case is 0.580, and the coefficient of sliding friction is 0.520. What is
the frictional force in this situation?
Select one:
a. 49.7 N

b. 61.2 N
c. 55.4 N
d. 107 N
Question 5

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4.2 Projectile Motion
A projectile is fired over a horizontal surface at an angle of elevation of 70°. Neglecting air
resistance, what are possible angles in flight between the acceleration vector and the velocity
vector?
Select one:
a. 90° and 15°
b. 120° and 70°

c. 170° and 40°
d. none of the above
Question 6

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A box slides up an incline with an angle of elevation θ. When the box reaches its maximum
distance up the incline it stops and does not slide down the incline due to friction. What is the
minimum value of the coefficient of static friction for this to occur?
Select one:
a. μs = cosθ
b. μs = tanθ

c. μs = sinθ
d. μs = 1
Question 7

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A cart of weight 25 N is accelerated across a level surface at 0.15 m/s2. What net force acts on
the wagon? (g = 9.8 m/s2)
Select one:
a. 3.8 N
b. 36.75 N
c. 17.01 N
d. 0.38 N

e. 166.7 N
Question 8

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As a car moves forward on a level road at constant velocity, the net force acting on the tires
is:
Select one:
a. greater than the normal force times the coefficient of static friction.
b. zero.

c. the normal force times the coefficient of kinetic friction.
d. equal to the normal force times the coefficient of static friction.
Question 9

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4.1 Statics
A 100-kg box is placed on a ramp. As one end of the ramp is raised, the box begins to move
downward just as the angle of inclination reaches 25°. What is the coefficient of static friction
between box and ramp?
Select one:
a. 0.47
b. 0.95
c. 0.15

d. 0.27
Question 10

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4.4 Further Applications of Newton’s Laws
A 9.0-kg hanging weight is connected by a string over a pulley to a 5.0-kg block sliding on a
flat table. If the coefficient of sliding friction is 0.10, find the tension in the string.
Select one:
a. 38 N

b. 24 N
c. 35 N
d. 19 N
Question 11

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1.3 Dealing with Numbers
Modern electroplaters can cover a surface area of 55.0 m2 with one troy ounce of gold
(volume = 1.611 cm3). What is the thickness of the electroplated gold?
Select one:
a. 2.93 × 10−8 m

b. 1.83 × 10−6 m
c. 3.64 × 10−7 m
d. 1.46 × 10−9 m
Question 12

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4.2 Projectile Motion
A ball is rolled horizontally off a table with an initial speed of 0.18 m/s. A stopwatch
measures the ball’s trajectory time from table to the floor to be 0.30 s. What is the height of
the table? Note: g = 9.8 m/s2 and air resistance is negligible.
Select one:
a. 0.11 m
b. 0.33 m
c. 0.44 m

d. 0.22 m
Question 13

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4.3 A First Look at Reference Frames and Relative Velocity
A plane is moving due north, directly towards its destination. Its airspeed is 200 mph. A
constant breeze is blowing from west to east at 60 mph. At what rate is the plane moving
north?
Select one:
a. 198 mph
b. 196 mph

c. 180 mph
d. 191 mph
Question 14

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4.2 Projectile Motion
A helicopter is traveling at 54 m/s at a constant altitude of 100 m over a level field. If a wheel
falls off the helicopter, with what speed will it hit the ground? Note: g = 9.8 m/s2 and air
resistance is negligible.
Select one:
a. 50 m/s
b. 60 m/s
c. 40 m/s
d. 70 m/s

Question 15

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Three identical 5.0-kg cubes are placed on a horizontal frictionless surface in contact with one
another. The cubes are lined up from left to right and a 25-N force is applied to the left side of
the left cube causing all three cubes to accelerate to the right. If the cubes are each subject to a
frictional force of 5.0 N, what is the magnitude of the force exerted on the right cube by the
middle cube in this case?
Select one:
a. 15 N
b. 25 N
c. none of the choices
d. 10 N

e. 5.0 N
Question 16

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Find the resultant of the following two vectors: i) 60 units due east and ii) 100 units 45° north
of west.
Select one:
a. 100 units 45° north of west
b. 72 units 79° north of west

c. 149 units 11° north of west
d. 72 units 36° north of west
e. 72 units 101° north of west
Question 17

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4.1 Statics
A 200-N crate rests on a ramp; the maximum angle just before it slips is 21° with the
horizontal. What is the coefficient of static friction between crate and ramp surfaces?
Select one:
a. 0.11
b. 0.47
c. 0.38

d. 0.21
Question 18

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4.4 Further Applications of Newton’s Laws
An Olympic skier moving at 22.0 m/s down a 30.0° slope encounters a region of wet snow, of
coefficient of friction μk = 0.740. How far down the slope does she go before stopping?
Select one:
a. 175 m

b. 119 m
c. 145 m
d. 199 m
Question 19

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Vector is 3.0 units in length and points along the positive x axis; vector is 5.0
units in length and points along a direction 150° from the positive x axis. What is the direction
of their sum with respect to the positive x axis?
Select one:
a. 118°

b. 13°
c. 103°
d. 62°
Question 20

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A karate master strikes a board with an initial velocity of 16.0 m/s, decreasing to 4.0 m/s as
his hand passes through the board. If the time of contact with the board is 0.002 s, and the
mass of the coordinated hand and arm is 1.0 kg, what is the force exerted on the board?
Select one:
a. 0.04 N
b. 10,000 N
c. 8,000 N
d. 6,000 N

e. 0.024 N
Question 21

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1.4 Physical Quantities and Units of Measure
A furlong is a distance of 220 yards. A fortnight is a time period of two weeks. A horse is
running at a speed of 4.00 yards per second. What is his speed in furlongs per fortnight?
Select one:
a. 22,000 furlongs/fortnight

b. 11,000 furlongs/fortnight
c. 4980 furlongs/fortnight
d. 2200 furlongs/fortnight
Question 22

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4.4 Further Applications of Newton’s Laws
A 10-kg mass and a 6.0-kg mass are connected by a light string over a massless, frictionless
pulley. If g = 9.8 m/s2, what is the acceleration of the system when released?
Select one:
a. 9.8 m/s2
b. 7.8 m/s2
c. 2.5 m/s2

d. 6.5 m/s2
Question 23

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3.4 Free Fall
A baseball is released at rest from the top of the Washington Monument. It hits the ground
after falling for 5.0 s. What was the height from which the ball was dropped? (g = 9.8
m/s2 and assume air resistance is negligible)
Select one:
a. 2.1 × 102 m
b. 1.5 × 102 m
c. 1.8 × 102 m
d. 1.2 × 102 m

Question 24

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3.4 Free Fall
A water rocket, launched from the ground, rises vertically with acceleration of 20 m/s2 for 1.0
s when it runs out of “fuel.” Disregarding air resistance, how high will the rocket rise?
Select one:
a. 30 m

b. 102 m
c. 61 m
d. 15 m
Question 25

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It is late and Carlos is sliding down a rope from his third floor window to meet his friend
Juan. As he slides down the rope faster and faster, he becomes frightened and grabs harder on
the rope, increasing the tension in the rope. As soon as the upward tension in the rope
becomes equal to his weight:
Select one:
a. the rope must break.
b. Carlos will stop.
c. Carlos will slow down.
d. Carlos will continue down at a constant velocity.

Question 26

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2.2 What is Motion?
A v-t graph is drawn for a ball moving in one direction. The graph starts at the origin and
at t = 6 s the acceleration of the ball is zero. We know that at t = 6 s,
Select one:
a. the slope of the curve is non-zero.
b. the curve is at v = 0, t = 0.
c. the curve is not crossing the time axis.
d. the velocity of the ball is not changing.

Question 27

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For which of the values below is x > x7?
Select one:
a. x = 1.0
b. x = -2.0

c. x = 2.0
d. x = 4.0
e. x = 0
Question 28

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Two blocks of masses 24 kg and 9 kg are connected together by a light string and rest on a
frictionless level surface. Attached to the 9-kg mass is another light string, which a person
uses to pull both blocks horizontally. If the two-block system accelerates at 0.6 m/s2 what is
the tension in the connecting string between the blocks?
Select one:
a. 14.4 N

b. 5.4 N
c. 9 N
d. 19.8 N
e. 40 N
Question 29

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If the displacement of an object, x, is related to velocity, v, according to the relation x = Av,
the constant, A, has the dimension of which of the following?
Select one:
a. area
b. acceleration
c. time

d. length
Question 30

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Modern electroplaters can cover a surface area of 60.0 m2 with one troy ounce of gold
(volume = 1.611 cm3). What is the thickness of the electroplated gold?
Select one:
a. None of the above
b. 2.69 × 10−8 m

c. 1.35 × 10−9 m
d. 5.38 × 10−7 m
e. 1.79 × 10−6 m
Second Attempt
29/30
Question 1

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3.1 Motion of a Spacecraft in Interstellar Space
An automobile of mass 2000 kg moving at 20 m/s is braked suddenly with a constant braking
force of 10,000 N. How far does the car travel before stopping?
Select one:
a. 160 m
b. 40 m

c. 80 m
d. 120 m
Question 2

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1.3 Dealing with Numbers
The basic function of an automobile’s carburetor is to atomize the gasoline and mix it with air
to promote rapid combustion. Assume that 40 cm3 of gasoline is atomized into N spherical
droplets. Each droplet has a radius of 2.0 × 10−5 m. Find the total surface area of
these N spherical droplets.
Select one:
a. 2800 cm2
b. 24,000 cm2
c. 60,000 cm2

d. 20,000 cm2
Question 3

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4.3 A First Look at Reference Frames and Relative Velocity
A boat moves at 11.0 m/s relative to the water. If the boat is in a river where the current is
2.00 m/s, how long does it take the boat to make a complete round trip of 1000 m upstream
followed by a 1000 m trip downstream?
Select one:
a. 222 s
b. 205 s
c. 208 s
d. 188 s

Question 4

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4.1 Statics
A trapeze artist, with swing, weighs 700 N; he is momentarily held to one side by his partner
so that the swing ropes make an angle of 30.0° with the vertical. In such a condition of static
equilibrium, what is the horizontal force being applied by the partner?
Select one:
a. 404 N

b. 924 N
c. 233 N
d. 808 N
Question 5

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A baseball thrown from the outfield is released from shoulder height at an initial velocity of
28.1 m/s at an initial angle of 30° with respect to the horizontal. What is the maximum
vertical displacement that the ball reaches during its trajectory?
Select one:
a. 20.1 m
b. 30.2 m
c. 13.4 m
d. 26.9 m
e. 10.1 m

Question 6

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4.3 A First Look at Reference Frames and Relative Velocity
Plane A is flying at 600 mph in the northeast direction relative to the Earth. Plane B is flying
at 500 mph in the north direction relative to the Earth. What is the speed of Plane B as
observed from Plane A?
Select one:
a. 900 mph
b. 100 mph
c. 357 mph
d. 431 mph

Question 7

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1.4 Physical Quantities and Units of Measure
The current standard definition for the second has been based on which of the following?
Select one:
a. Greenwich Civil Time
b. average solar day
c. sidereal day
d. characteristic frequency of the light from cesium atoms

Question 8

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3.3 Adding Friction to the Mix
There are six books in a stack, each with a weight of 3.0 N. The coefficient of friction
between all the books is 0.20 as is the coefficient between the table and the bottom book.
What horizontal push must I just exceed on the next to bottom book to start sliding the top
five books off the bottom one?
Select one:
a. 7.0 N
b. 3.0 N

c. 1.0 N
d. 5.0 N
Question 9

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4.4 Further Applications of Newton’s Laws
A 250-kg crate is placed on an adjustable inclined plane. If the crate slides down the incline
with an acceleration of 0.25 m/s2 when the incline angle is 25°, then what should the incline
angle be for the crate to slide down the plane at constant speed? Note: g = 9.8 m/s2.
Select one:
a. 24°

b. 29°
c. 12°
d. 21°
Question 10

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Two blocks are at rest on a horizontal frictionless surface with a compressed spring between
them. The 7.0-kg block accelerates when the string holding the system in compression is cut
and the 14-kg box accelerates in the opposite direction. What is the magnitude of the force
from the expanding spring on the 14-kg box when the 7.0-kg box is undergoing an
acceleration of 6.0 m/s2?
Select one:
a. 0 N
b. 84 N
c. 126 N
d. 21 N
e. 42 N

Question 11

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Which of the following is an example of the type of force that acts at a distance?
Select one:
a. all of the above

b. magnetic
c. electrical
d. gravitational
Question 12

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The distance to the Andromeda Galaxy is estimated at about 2 × 106 light years. A light year
is the distance traveled by light in one year; if the speed of light is 3 × 108 m/s, about how far
is it from our galaxy to Andromeda? (1 year = 3.15 × 107 s)
Select one:
a. 6 × 1012 m
b. 1 × 1018 m
c. 2 × 1022 m

d. 10 × 1015 m
Question 13

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4.3 A First Look at Reference Frames and Relative Velocity
A river flows due east at 2.0 m/s. A boat crosses the 300 m-wide river by maintaining a
constant velocity of 10 m/s due north relative to the water. If no ion is made for the
current, how far downstream does the boat move by the time it reaches the far shore?
Select one:
a. 60 m

b. 90 m
c. 6 m
d. 30 m
Question 14

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Which point is nearest the y axis?
Select one:
a. (−5, 3)
b. (−3, 4)

c. (4, 5)
d. (5, −2)
Question 15

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4.4 Further Applications of Newton’s Laws
A 2000-kg sailboat experiences an eastward force of 2000 N by the ocean tide and a wind
force against its sails with magnitude of 6000 N directed toward the northwest (45° N of W).
What is the magnitude of the resultant acceleration?
Select one:
a. 1.5 m/s2
b. 2.2 m/s2
c. 2.4 m/s2

d. 3.0 m/s2
Question 16

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What condition must apply to a system’s state of motion for it to be regarded as an inertial
frame of reference?
Select one:
a. in constant acceleration
b. in increasing acceleration
c. in constant velocity

d. in decreasing velocity
Question 17

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4.4 Further Applications of Newton’s Laws
A 12.0-kg mass is placed on a 25.0° incline and friction keeps it from sliding. The coefficient
of static friction in this case is 0.580, and the coefficient of sliding friction is 0.520. The mass
is given a shove causing it to slide down the incline. What is the frictional force while the
mass is sliding?
Select one:
a. 55.4 N

b. 61.2 N
c. 49.7 N
d. 107 N
Question 18

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On planet Z, the standard unit of length is the foose. Ann the Astronaut is 5.80 feet tall on
earth. She lands on planet Z and is measured to be 86 foosi tall. Her partner Rachael is 89
foosi tall. How tall is Rachael on Earth?
Select one:
a. 5.7 feet
b. 5.80 feet
c. 6.5 feet
d. 6.2 feet
e. 6 feet

Question 19

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A block of mass 6.00 kg rests on a horizontal surface where the coefficient of kinetic friction
between the two is 0.400. A string attached to the block is pulled horizontally, resulting in a
3-m/s2 acceleration by the block. Find the tension in the string. (g = 9.80 m/s2)
Select one:
a. 23.52 N
b. 18 N
c. 41.52 N

d. -5.52 N
e. 6.00 N
Question 20

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4.3 A First Look at Reference Frames and Relative Velocity
A jet airliner moving at 600 mph due east moves into a region where the wind is blowing at
120 mph in a direction 30.0° north of east. What is the new speed and direction of the
aircraft?
Select one:
a. 706 mph, 4.87° N of E

b. 588 mph, 4.87° N of E
c. 620 mph, 5.67° N of E
d. 706 mph, 5.67° N of E
Question 21

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The coefficient of static friction between the tires of a car and the street is μs = 0.64. Of the
following, what is the steepest inclination angle of a street on which a car can be parked (with
wheels locked) without slipping?
Select one:
a. 38°

b. 30°
c. 28°
d. 43°
e. 33°
Question 22

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When NASA was communicating with astronauts on the moon, the time from sending on the
Earth to receiving on the moon was 1.28 s. Find the distance from Earth to the moon. (The
speed of radio waves is 3.00 × 108 m/s.)
Select one:
a. 480 000 km
b. 768 000 km
c. 384 000 km

d. 240 000 km
Question 23

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Which one of the choices below represents the preferred practice regarding significant figures
when adding the following: ?
Select one:
a. 85.294
b. 85.29
c. 85

d. 85.3
e. 85.2940
Question 24

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Rita accelerates a 0.45-kg ball from rest to 8.0 m/s during the 0.15 s in which her foot is in
contact with the ball. What average force does she apply to the ball during the kick?
Select one:
a. 54 N
b. 24 N

c. 3 N
d. 27 N
e. 119 N
Question 25

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The statement by Newton that “for every action there is an opposite but equal reaction” is
regarded as which of his laws of motion?
Select one:
a. third

b. fourth
c. first
d. second
Question 26

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A baseball batter hits an incoming 45-m/s fastball. The ball leaves the bat at 50 m/s after a
ball-on-bat contact time of 0.050 s. What is the force exerted on the 0.10-kg baseball?
Select one:
a. 100 N
b. 10 N
c. 90 N
d. 190 N

e. 48 N
Question 27

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A crate of weight W is being pushed across a horizontal surface by a force directed at an
angle of 20° below the horizontal. What is the magnitude of the normal force on the crate?
Select one:
a. It equals W.
b. It is less than W.
c. It is more than W.

d. None of the above since the coefficient of kinetic friction is not given.
Question 28

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Two blocks, joined by a string, have masses of 8.0 and 9.0 kg. They rest on a frictionless
horizontal surface. A 2nd string, attached only to the 9.0-kg block, has horizontal force =
30 N applied to it. Both blocks accelerate. Find the tension in the string between the blocks.
Select one:
a. 64 N
b. 14 N

c. 240 N
d. 2 N
e. 16 N
Question 29

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Assume when using a meter stick measuring can be done so that the last significant figure is
in the tenth of a millimeter digit. If you are measuring an object with length between 6 and 7
cm, how many significant figures will result if you only use the part of the meter stick
between the 1-cm and 9-cm positions?
Select one:
a. more than 5
b. 5
c. 4
d. 2
e. 3

Question 30

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A ball of relatively low density is thrown upwards. Because of air resistance the acceleration
while traveling upwards is −10.8 m/s2. On its trip downward the resistance is in the opposite
direction, and the resulting acceleration is −8.8 m/s2. When the ball reaches the level from
which it was thrown, how does its speed compare to that with which it was thrown?
Select one:
a. It is greater than the original speed upward.
b. It is the same as the original speed upward.
c. It is less than the original speed upward.

d. Without knowing the original speed, this problem cannot be solved
Question 1

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An apartment has 1100 ft2 of floor space. What is the approximate volume of the apartment?
Select one:
a. ft3

b. ft3
c. ft3
d. ft3
e. ft3
Question 2

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If point A is located at coordinates (2, −3) and point B is located at coordinates (−3, 9), what
is the distance from A to B if the units of the coordinated system are meters?
Select one:
a. 17 m
b. 20 m
c. 13 m

d. 10 m
Question 3

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Note the expression: y = A/x3. Which statement is most consistent with this expression?
Select one:
a. y is greater than x.
b. If x is halved, y is multiplied by eight.

c. If x is doubled, y is multiplied by a factor of 8.
d. y is less than A.
Question 5

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Which is smallest, an atom, a nucleus, a proton, or an electron?
Select one:
a. electron
b. nucleus
c. proton
d. atom

Question 4

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1.4 Physical Quantities and Units of Measure
On planet Q the standard unit of volume is called the guppy. Space travelers from Earth have
determined that one liter = 38.2 guppies. How many guppies are in 200 liters?
Select one:
a. 5.24 guppies
b. 7640 guppies

c. 70.2 guppies
d. 9.74 guppies
Question 6

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Assume when using a meter stick measuring can be done so that the last significant figure is
in the tenth of a millimeter digit. If you are measuring an object with length between 25 and
53 cm, how many significant figures will result if you only use the part of the meter stick
between the 3- and 85-cm positions?
Select one:
a. 2
b. 4

c. more than 4
d. 1
e. 3
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Which expression is dimensionally consistent with an expression that would yield a value for
time−1? (v is velocity, x is distance, and t is time)
Select one:
a. v/x

b. v2/x
c. v2t
d. x/t
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1.3 Dealing with Numbers
Two numbers, one with 4 significant figures and the other with 3 significant figures, are
combined using the math operations given below. Which operation can give a result with
fewer than 3 significant figures?
Select one:
a. subtraction

b. addition
c. division
d. multiplication
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1.3 Dealing with Numbers
A circle has an area of 2.0 m2. A second circle has triple the radius of the first. The area of the
second circle is _____ times that of the first.
Select one:
a. 0.67
b. 9.0

c. 27
d. 3.0
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If θ and φ are each first quadrant angles, which of the following must be true if sin θ = cos φ?
Select one:
a. θ = φ
b. θ – φ = π/2 rad
c. θ + φ = π rad
d. θ + φ = 90°

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10/10
Question 1

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Each edge of a cube has a length of 38.1 cm. What is the length of a diagonal of the cube
going through the center of the cube?
Select one:
a. 24.5 in
b. 26.0 in

c. 66.0 in
d. 28.0 in
e. 29.5 in
Question 2

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Doubling the radius of a sphere results in increasing its volume by a factor of
Select one:
a. 8 π
b. 2
c. 8

d. 4
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The length and width of a standard sheet of paper is measured, and then the area is found by
calculation to be 91.50 in2. The number of significant figures in the width measurement must
be at least:
Select one:
a. 5
b. 1.
c. 3.

d. 2.
e. 4.
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The mass of the sun is 2.0 × 1030 kg, and the mass of a hydrogen atom is 1.67 × 10−27 kg. If we
assume that the sun is mostly composed of hydrogen, how many atoms are there in the sun?
Select one:
a. 2.4 × 1057 atoms
b. 3.4 × 1056 atoms
c. 1.2 × 1056 atoms
d. 1.2 × 1057 atoms

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A train slowly climbs a 600-m mountain track which is at an angle of 10.0° with respect to the
horizontal. How much altitude does it gain?
Select one:
a. 104 m

b. 492 m
c. 106 m
d. 86.8 m
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When was the existence of the neutron confirmed?
Select one:
a. in 1895
b. in 1932

c. in 1969
d. in ancient times
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The ratio T/m of the prefixes M and m has what value?
Select one:
a. 1015

b. 1017
c. 1013
d. 1016
e. 1014
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Assume when using a meter stick measuring can be done so that the last significant figure is
in the tenth of a millimeter digit. If you are measuring an object with length between 8 and 9
cm, how many significant figures will result if you only use the part of the meter stick
between the 82- and 93-cm positions?
Select one:
a. 4
b. 2
c. 3

d. more than 4
e. 0
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On planet Q the standard unit of volume is called the guppy. Space travelers from Earth have
determined that one liter = 36.6 guppies. How many guppies are in 100 liters?
Select one:
a. 3,560 guppies
b. 3,696.6 guppies
c. 3,660 guppies

d. 3,623.4 guppies
e. 3,760 guppies
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Four vectors all have the same magnitude. Vector 1 is at 30°, Vector 2 is at 110°, vector 3 is
at 240°, and Vector 4 is at 315°. Which vector has the greatest magnitude x component and
which vector has the least magnitude y component?
Select one:
a. Vector 4, Vector 4
b. Vector 1, Vector 2
c. Vector 1, Vector 1

d. Vector 3, Vector 2
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Quiz 2
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A man of weight Wman is standing on the second floor and is pulling on a rope to lift a box of
weight Wbox from the floor below. The rope, which is of negligible weight, has tension T in it,
but the pull of the rope is insufficient to lift the box off the floor. What is the magnitude of the
normal force that the second floor exerts on the man in this situation?
Select one:
a. Wman
b. Wman + T

c. Wman + T + a nonzero portion of Wbox
d. Wman + T + Wbox
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A rock is thrown straight down with an initial velocity of 14.9 m/s from a cliff. What is the
rock’s displacement after 1.0 s? (Acceleration due to gravity is 9.80 m/s2.)
Select one:
a. 15 m
b. 6 m
c. 20 m

d. 25 m
e. 35 m
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A ball is rolled horizontally off a table with an initial speed of 0.21 m/s. A stop watch
measures the ball’s trajectory time from table to the floor to be 0.2 s. How far away from the
table does the ball land? (g = 9.8 m/s2 and air resistance is negligible)
Select one:
a. 0.238 m
b. 0.154 m
c. 0.392 m
d. 0.084 m
e. 0.042 m

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2.2 What is Motion?
Which of the following is not a vector quantity?
Select one:
a. temperature

b. displacement
c. acceleration
d. velocity
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A particle moves east at constant velocity for a time interval ΔT. It then moves north at
a constant velocity, with the same speed as before, for another time interval ΔT. Finally it
moves east again with the original velocity. At the instant an additional time interval ΔT has
elapsed, which of the following are true about the average velocity and the average
acceleration for the motion described?
Select one:
a. The average velocity is and the average acceleration is not zero.
b. The average velocity is not and the average acceleration is zero.

c. The average velocity is and the average acceleration is zero.
d. The average velocity is not and the average acceleration is not zero.
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Jack pulls a sled across a level field by exerting a force of 150 N at an angle of 30° with the
ground. What are the parallel and perpendicular components, respectively, of this force with
respect to the ground?
Select one:
a. 75 N, 130 N
b. 130 N, 75 N

c. 260 N, 150 N
d. 87 N, 260 N
e. 150 N, 260 N
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3.2 Normal Forces and Weight
A 70.0-kg man jumps 1.00 m down onto a concrete walkway. His downward motion stops in
0.04 seconds. If he forgets to bend his knees, what force is transmitted to his leg bones?
Select one:
a. 16,000 N
b. 8000 N

c. 700 N
d. 4000 N
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2.2 What is Motion?
A strobe photograph of a car moving along a straight road shows the interval between each
successive image to be diminishing. If the direction of motion of the car is taken as positive,
which of the following are negative?
Select one:
a. the speed of the car
b. the average velocity of the car
c. all of the above
d. the average acceleration of the car

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Plane A is flying at 400 mph in the northeast direction relative to the earth. Plane B is flying
at 520 mph in the north direction relative to the earth. What is the direction of motion of Plane
B as observed from Plane A?
Select one:
a. 49° N of W
b. 40° N of W

c. 50° N or W
d. 19.4° N of W
e. 70.6° N of E
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When NASA was communicating with astronauts on the Moon, the time from sending on the
Earth to receiving on the Moon was 1.33 s. Find the distance from Earth to the Moon. (The
speed of radio waves is 3.00 × 108 m/s.)
Select one:
a. 240,000 km
b. 384,000 km
c. 399,000 km

d. 768,000 km
Quiz 3
Question 1
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A 70.0-kg (including the passenger) sled is subject to a net force of 30.0 N pushing in the
direction of the sled’s motion as it is moving over a horizontal surface for a distance of
12.0 m after having started from rest. At this point the sled is released as it starts down a
10.0° incline. However, the snow is not very deep, and the sled stops after having moved an
additional 45.0 m. What is the work done by friction while the sled is on the incline?
Select one:
a. -5469.92 J
b. -5829.92 J

c. -31381.44 J
d. -30661.44 J
e. -5109.92 J
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5.4 Planetary Motion and Kepler’s Laws
At an altitude of 3 times the radius of the Earth, the acceleration due to gravity is
Select one:
a. g/3.
b. not given.

c. g/27.
d. g/9.
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5.1 Uniform Circular Motion
At what speed will a car round a 125 m radius curve, banked at a 45° angle, if no friction is
required between the road and tires to prevent the car from slipping? (g = 9.8 m/s2)
Select one:
a. 17 m/s
b. 35 m/s

c. 27 m/s
d. 23 m/s
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5.3 Newton’s Law of Gravitation
If a planet has 9 times the radius of the Earth, but has the same density as the Earth, what is
the gravitational acceleration at the surface of the planet? (g = 9.8 m/s2)
Select one:
a. 88.2 m/s2

b. 39.2 m/s2
c. 29.4 m/s2
d. 265 m/s2
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A Hooke’s law spring is compressed 12.0 cm from equilibrium, and the potential energy
stored is 74.0 J. What compression (as measured from equilibrium) would result in 100 J
being stored in this case?
Select one:
a. No answer is .
b. 9.9 cm
c. 13.9 cm

d. 27.8 cm
e. 40.3 cm
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The unit of power, watt, is dimensionally the same as:
Select one:
a. joule-meter.
b. joule-second.

c. joule/meter.
d. joule/second.
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5.3 Newton’s Law of Gravitation
An Earth satellite is orbiting at a distance from the Earth’s surface equal to two Earth radii.
At this location, the acceleration due to gravity is what factor times the value of g at the
Earth’s surface?
Select one:
a. 1/9

b. The answer is not given.
c. 1/4
d. There is no acceleration since the satellite is in orbit.
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A 15.0-kg box starts at rest and slides 4.5 m down a ramp inclined at an angle of 10° with the
horizontal. If there is no friction between the ramp surface and crate, what is the velocity of 

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