A 1,400-kg automobile moving with a speed of 24 m/s relative to the road collides with a 700-kg automobile initially at rest. If the two stick together, what is the velocity in m/s of the two cars after the collision according to an observer in a truck - PowerPoint PPT Presentation

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A 1,400-kg automobile moving with a speed of 24 m/s relative to the road collides with a 700-kg automobile initially at rest. If the two stick together, what is the velocity in m/s of the two cars after the collision according to an observer in a truck

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Title: A 1,400-kg automobile moving with a speed of 24 m/s relative to the road collides with a 700-kg automobile initially at rest. If the two stick together, what is the velocity in m/s of the two cars after the collision according to an observer in a truck


1
A 1,400-kg automobile moving with a speed of 24
m/s relative to the road collides with a 700-kg
automobile initially at rest. If the two stick
together, what is the velocity in m/s of the two
cars after the collision according to an observer
in a truck moving 11 m/s in the same direction as
the moving cars?
  1. 6.0
  2. 19
  3. 5.0
  4. 21
  5. 1.0

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2
A 1,000-kg automobile moving with a speed of 27
m/s collides with a 500-kg car initially at rest.
If the two stick together, what is the velocity
(in m/s) of the two cars after the collision
relative to an automobile moving in the same
direction at 15 m/s?
  1. 4.0
  2. 5.0
  3. 3.0
  4. 21
  5. 23

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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3
A boat has an initial velocity of 5 m/s in the
image -direction on a stream which is moving in
the image -direction at 1 m/s. The boat is
accelerating in its direction of motion at
image What is the acceleration of the boat (in
image ) relative to the water?
  1. image
  2. image
  3. image
  4. image
  5. image

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
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4
A spaceship moves at a speed of image away from
the Earth. It shoots a star wars torpedo toward
the Earth at a speed of image relative to the
ship. What is the velocity of the torpedo
relative to the Earth? (The direction in which
the spaceship moves is the positive direction.)
  1. image
  2. image
  3. image
  4. image
  5. image

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
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5
A satellite moves east, taken as the positive
image -axis direction, at a speed of image
and a spaceship moves toward it (to the west) at
a speed of image as measured by an observer on
the Earth. Find the speed of the satellite
measured by an observer in the spaceship.
  1. image
  2. image
  3. image
  4. image
  5. image

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
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6
A fancy sports car passes Big Ben at a speed of
image What time interval will the driver
measure for a one-second interval on the large
clock?
  1. image
  2. image
  3. image
  4. image
  5. image

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
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7
A fancy sports car moves past an observer on a
corner at a speed of image When the observer
indicates a one-second interval has passed, what
time interval will be shown on the driver's watch?
  1. image
  2. image
  3. image
  4. image
  5. image

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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8
Two fireworks explode at the same position on the
4th of July. A stationary observer notices that
the time interval between the two events was 3.00
seconds. A second observer flies past the
fireworks at a speed of image What value does
she obtain when she measures the time interval
between the two explosions?
  1. 1.9 s
  2. 3.75 s
  3. 3.0 s
  4. 2.4 s
  5. 4.29 s

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
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9
The half-life of a muon is image as measured in
a stationary reference frame. What is the half
life of the muon (in image ) when it is moving
with a speed of image
  1. 15.8
  2. 1.22
  3. 2.24
  4. 2.63
  5. 1.68

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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10
The half-life of a muon is image How fast is it
moving relative to an observer who says its
half-life is image
  1. image
  2. image
  3. image
  4. image
  5. image

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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11
A spaceship moving past the Earth with a speed of
image signals to the Earth with pulsed laser
photons emitted at 14-second intervals according
to the spaceship's clock. According to observers
on Earth who see the flashes, what is the time
interval they measure?
  1. 4.0 s
  2. 40.4 s
  3. 50.1 s
  4. 32.1 s
  5. 6.1 s

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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12
A 35-year-old woman takes a trip on a rocket,
leaving her 20-year-old brother behind. She
travels at a speed of image and is gone 10
years, according to the younger brother. When she
returns, how many years older/younger is she than
her brother?
  1. 11 years older
  2. 16 years older
  3. 12 years older
  4. 23 years older
  5. 11 years younger

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40
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13
A jet plane travels around the world at 2,200
mi/hr (983 m/s). Two accurate atomic clocks
measure the times of flight, one on board the
plane and the second on Earth. If it takes 11
hours to complete the journey, what will the time
difference (in image ) be?
  1. 0.23
  2. 0.21
  3. 0.52
  4. 1.7
  5. 0.15

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14
A meterstick is shot from a meterstick projector
at a speed of image How long will it be
relative to an observer's frame of reference?
  1. 1.0 m
  2. 0.80 m
  3. 1.2 m
  4. 0.84 m
  5. 0.90 m

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15
A starship navigator measures the distance
between the Earth and the sun. If the ship is
moving at a speed of image instead of obtaining
93 million miles, what distance (in millions of
miles) does the navigator measure?
  1. 122
  2. 78
  3. 68
  4. 85
  5. 71

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16
An astronaut traveling with a speed image holds
a meterstick in his hand. If he measures its
length, what value will he obtain?
  1. 1.3 m
  2. 0.89 m
  3. 1 m
  4. 0.76 m
  5. 0.73 m

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17
An electron image has a speed of image
Determine the difference between its relativistic
kinetic energy and the kinetic energy calculated
without considering relativity.
  1. image
  2. image
  3. image
  4. image
  5. image

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18
An electron has a kinetic energy that is four
times its rest energy. Determine its speed.
  1. image
  2. image
  3. image
  4. image
  5. image

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19
An electron image has a speed of image What
is the difference between its relativistic
momentum and its non-relativistic momentum (in kg
m/s)?
  1. image
  2. image
  3. image
  4. image
  5. image

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20
A proton's rest mass is image Calculate its
total energy when it is accelerated to a speed of
image
  1. image
  2. image
  3. image
  4. image
  5. image

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21
A proton's rest mass is image Calculate its
total kinetic energy when it is accelerated to a
speed of image
  1. image
  2. image
  3. image
  4. image
  5. image

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22
Energy is released during a nuclear reaction due
to a conversion between mass and energy. Mass is
not conserved. The initial and final amounts are
different. If a total of 6 g of mass is
"missing", how much energy has been released?
  1. image
  2. image
  3. image
  4. image
  5. image

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23
Assume a g of a substance marketed as "Pure
Energy" is annihilated by g of a second substance
"Anti-Pure Energy." How long would the energy
released power a city which uses image watts of
power?
  1. 50,000 hrs
  2. 50 hrs
  3. 40 hrs
  4. 35 hrs
  5. 55 hrs

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24
A proton has a total energy of image How fast
is it moving? image
  1. image
  2. image
  3. image
  4. image
  5. image

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25
A spaceship from another galaxy passes over the
solar system directly above a radial line from
the sun to the Earth. (We measure that distance
to be image ) On Earth, the spaceship is
observed to be traveling at a speed of image
for which image As measured on Earth it takes
the spaceship 833 seconds to travel from the sun
to Earth. If a scientist in the spaceship
measures the Earth-sun distance and the time it
takes her to travel that distance, what results
will she find?
  1. image
  2. image
  3. image
  4. image
  5. image

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26
Fireworks go off at the same time according to
Earth clocks in two cities, Alum and Boron, that
are 400 km apart. The people in a spaceship that
is flying in a straight line from Alum to Boron
at image also observe the fireworks. Do they
see the fireworks in the two cities
simultaneously? If the people in the spaceship
say the fireworks were not simultaneous in Alum
and Boron, how long before or after the fireworks
flashed at Alum did the fireworks flash at Boron
according to their calculations? (The spaceship
is directly over Alum when the fireworks flash.)
  1. Yes image
  2. After image
  3. After image
  4. Before image
  5. Before image

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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27
The first intergalactic spaceship is headed
toward the Magellanic Clouds at a speed of
image The spaceship is 4,000 m long. Clocks at
the front and the rear of the spaceship both read
700 P.M. Can it be 700 P.M. simultaneously at
the front and the back of the spaceship?
  1. Yes, because image in (a) is zero for different
    points of the same spaceship.
  2. No, because image where image is the length
    of the spaceship.
  3. No, because one clock has to move after being
    synchronized with the other.
  4. The question cannot be answered unless we know
    the object relative to which the spaceship's
    velocity is image
  5. Yes, because two clocks at rest relative to each
    other can be synchronized by means of light
    signals when the distance between them is known.

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28
As a spaceship heads directly to Earth at a
velocity of image it sends a radio signal to
Earth. When those radio waves arrive on Earth,
what is their velocity relative to Earth?
  1. image where image is the velocity of the
    Earth
  2. image
  3. image
  4. image
  5. image where image is the velocity of the Earth

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29
The speed of FM waves will be observed to be
image when the antenna emitting the waves is
_____.
  1. at rest relative to the receiving antenna
  2. moving to the left of the detecting antenna at
    image
  3. moving to the right of the detecting antenna at
    image
  4. moving as described in a, b or c above.
  5. moving at image

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30
Captain Jirk reports to headquarters that he left
the planet Senesca image seconds earlier.
Headquarters sends back the message "Was that
spaceship proper time?" It will be spaceship
proper time if it was ______.
  1. measured by a clock on Senesca at departure and
    by a clock on the spaceship when reporting
  2. measured by a clock on the spaceship when
    departing and by a clock on Senesca when
    reporting
  3. measured by one clock fixed at one spot on
    Senesca
  4. measured by one clock fixed at one spot on the
    spaceship
  5. calculated by dividing the distance from Senesca
    according to Senesca by the speed of the spaceship

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31
In a classroom on the first spaceship to an
extrasolar planet - there are children because
the trip will take 200 years - a teacher is
showing charge image uniformly distributed
along a conducting rod of length image to
produce linear charge density image As observed
on Pluto when the spaceship passes it at image
what is the linear charge density image
  1. image
  2. image
  3. image
  4. image
  5. image

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32
The quantity which does not change in magnitude
from that observed in system image when
observed in system image moving away from
system image at speed image is
  1. image
  2. image
  3. image
  4. image
  5. image

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33
Hanna, at rest in her spaceship which is moving
past Earth at image observes a neutron at rest
relative to her spaceship decay into a proton, an
electron and a neutrino. She notes that the total
momentum, image of the decay products is zero
after the decay. According to an observer on
Earth, what is the magnitude of the total
momentum image of the decay products?
  1. image
  2. image
  3. image
  4. image
  5. image

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34
A spaceship leaves Earth and maintains a constant
force by means of a nuclear engine. As the speed
of the spaceship increases, an observer on Earth
finds that relative to her the magnitude of the
spaceship's acceleration is _____.
  1. 0
  2. decreasing
  3. proportional to the kinetic energy of the
    spaceship
  4. increasing
  5. constant

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35
Which observer in the figure below sees the
ball's correct path? image
  1. The observer in the truck.
  2. The observer on the ground.
  3. Both observers.

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36
A baseball pitcher with a 90-mi/h fast ball
throws a ball while standing on a railroad
flatcar moving at 110 mi/h. The ball is thrown in
the same direction as that of the velocity of the
train. Applying the Galilean velocity
transformation equation, the speed of the ball
relative to the Earth is _____.
  1. 90 mi/h
  2. 110 mi/h
  3. 20 mi/h
  4. 200 mi/h
  5. impossible to determine

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37
Suppose the observer image on the train in the
figure below aims her flashlight at the far wall
of the boxcar and turns it on and off, sending a
pulse of light toward the far wall. Both image
and image measure the time interval between
when the pulse leaves the flashlight and it hits
the far wall. image Which observer measures the
proper time interval between these two events?
  1. image
  2. image
  3. Both observers.
  4. Neither observer.

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38
A crew watches a movie that is two hours long in
a spacecraft that is moving at high speed through
space. An Earthbound observer, who is watching
the movie through a powerful telescope, will
measure the duration of the movie to be _____.
  1. longer than two hours
  2. shorter than two hours
  3. equal to two hours

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39
Suppose astronauts are paid according to the
amount of time they spend traveling in space.
After a long voyage traveling at a speed
approaching image a crew would rather be paid
according to _____.
  1. an Earth-based clock
  2. their spacecraft's clock
  3. either clock

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40
You are packing for a trip to another star.
During the journey, you will be traveling at
image You are trying to decide whether you
should buy smaller sizes of your clothing,
because you will be thinner on your trip, due to
length contraction. Also, you are considering
saving money by reserving a smaller cabin to
sleep in, because you will be shorter when you
lie down. You should _____.
  1. buy smaller sizes of clothing
  2. reserve a smaller cabin
  3. do neither of these
  4. do both of these

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41
You are observing a spacecraft moving away from
you. You measure it to be shorter than when it
was at rest on the ground next to you. You also
see a clock through the spacecraft window, and
you observe that the passage of time on the clock
is measured to be slower than that of the watch
on your wrist. Compared to when the spacecraft
was on the ground, what do you measure if the
spacecraft turns around and comes toward you at
the same speed?
  1. The spacecraft is measured to be longer and the
    clock runs faster.
  2. The spacecraft is measured to be longer and the
    clock runs slower.
  3. The spacecraft is measured to be shorter and the
    clock runs faster.
  4. The spacecraft is measured to be shorter and the
    clock runs slower.

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42
You are driving on a freeway at a relativistic
speed. Straight ahead of you, a technician
standing on the ground turns on a searchlight and
a beam of light moves exactly vertically upward,
as seen by the technician. As you observe the
beam of light, you measure the magnitude of the
vertical component of its velocity as _____.
  1. equal to image
  2. greater than image
  3. less than image

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43
You are driving on a freeway at a relativistic
speed. Straight ahead of you, a technician
standing on the ground aims the searchlight
directly at you instead of upward. As you observe
the beam of light you measure the magnitude of
the horizontal component of its velocity as _____.
  1. equal to image
  2. greater than image
  3. less than image

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
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44
A physics professor on the Earth gives an exam to
her students, who are in a spacecraft traveling
at speed image relative to the Earth. The
moment the craft passes the professor, she
signals the start of the exam. She wishes her
students to have a time interval image
(spacecraft time) to complete the exam. What time
interval (Earth time) should she wait before
sending a light signal telling them to stop.
(Suggestion Remember that it takes some time for
the second light signal to travel from the
professor to the students.)
  1. image
  2. image
  3. image
  4. image
  5. image
  6. image

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45
A particle of mass image moving along the x
axis with a velocity component image collides
head-on and sticks to a particle of mass image
moving along the x axis with the velocity
component image . What is the mass image of
the resulting particle?
  1. image
  2. image
  3. image
  4. image
  5. image

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