2. Describe the
difference between
a question,
generated through
observation, and a
hypothesis.
a. They are the same.
b. A hypothesis has been thoroughly
tested and found to be true.
c. A hypothesis is a tentative assumption
based on what is already known.
d. A hypothesis is a broad explanation
firmly supported by evidence.
3. What is a
scientific
model and
how is it
useful?
a. A scientific model is a representation of
something that can be easily studied directly. It is
useful for studying things that can be easily
analyzed by humans.
b. A scientific model is a representation of
something that is often too difficult to study directly.
It is useful for studying a complex system or
systems that humans cannot observe directly.
c. A scientific model is a representation of scientific
equipment. It is useful for studying working
principles of scientific equipment.
d. A scientific model is a representation of a
laboratory where experiments are performed. It is
useful for studying requirements needed inside the
laboratory.
4. Which of
the
following
statements
is correct
about the
hypothesis
?
a. The hypothesis must be
validated by scientific experiments.
b. The hypothesis must not include
any physical quantity.
c. The hypothesis must be a short
and concise statement.
d. The hypothesis must apply to all
the situations in the universe.
5. What is a
scientific
theory?
a. A scientific theory is an explanation
of natural phenomena that is
supported by evidence.
b. A scientific theory is an explanation
of natural phenomena without the
support of evidence.
c. A scientific theory is an educated
guess about the natural phenomena
occurring in nature.
d. A scientific theory is an uneducated
guess about natural phenomena
occurring in nature.
6. Compare
and contrast
a hypothesis
and a
scientific
theory.
a. A hypothesis is an explanation of the natural world
with experimental support, while a scientific theory is an
educated guess about a natural phenomenon.
b. A hypothesis is an educated guess about natural
phenomenon, while a scientific theory is an explanation
of natural world with experimental support.
c. A hypothesis is experimental evidence of a natural
phenomenon, while a scientific theory is an explanation
of the natural world with experimental support.
d. A hypothesis is an explanation of the natural world
with experimental support, while a scientific theory is
experimental evidence of a natural phenomenon.
7. The speed limit on
some interstate
highways is
roughly 100 km/h.
How many miles
per hour is this if
1.0 mile is about
1.609 km?
a. 0.1 mi/h
b. 27.8 mi/h
c. 62 mi/h
d. 160 mi/h
8. You notice that it
takes more force to
get a large box to
start sliding across
the floor than it takes
to get the box sliding
faster once it is
already moving.
Create a testable
hypothesis that
attempts to explain
this observation.
a. The floor has greater distortions of
space-time for moving the sliding box faster
than for the box at rest.
b. The floor has greater distortions of
space-time for the box at rest than for the
sliding box.
c. The resistance between the floor and the
box is less when the box is sliding then
when the box is at rest.
d. The floor dislikes having objects move
across it and therefore holds the box rigidly
in place until it cannot resist the force
9. The speed of
sound is measured
at 342 m/s on a
certain day. What
is this in km/h ?
Report your
answer in scientific
notation.
10. The speed of sound is measured
at 342 m/s on a certain day. What
is this in km/h ? Report your
answer in scientific notation.
11. The speed of sound is measured
at 342 m/s on a certain day. What
is this in km/h ? Report your
answer in scientific notation.
12. Rob drove to the
nearest hospital with
an average speed of
v m/s in t seconds.
In terms of t, if he
drives home on the
same path, but with
an average speed of
3v m/s, how long is
the return trip home?
a. t/6
b. t/3
c. 3t
d. 6t
13. Rob drove to the nearest hospital
with an average speed of v m/s in t
seconds. In terms of t, if he drives
home on the same path, but with
an average speed of 3v m/s, how
long is the return trip home?
a. t/6
b. t/3
c. 3t
d. 6t
14. What can
you infer
from the
statement,
Velocity of
an object is
zero?
Object is in linear motion with
constant velocity.
a.
Object is moving at a constant
speed.
b.
Object is either at rest or it returns
to the initial point.
c.
Object is moving in a straight line
without changing its direction.
d.
15. An object has an
average speed
of 7.4 km/h.
Which of the
following
describes two
ways you could
increase the
average speed
of the object to
14.8 km/h?
a. Reduce the distance that the object travels
by half, keeping the time constant, or keep the
distance constant and double the time.
b. Double the distance that the object travels,
keeping the time constant, or keep the distance
constant and reduce the time by half.
c. Reduce the distance that the object travels to
one fourth, keeping the time constant, or keep
the distance constant and increase the time by
fourfold.
d. Increase the distance by fourfold, keeping
the time constant, or keep the distance
constant and reduce the time by one-fourth.
17. A ball rolls along the
ground, moving from north
to south. What direction is
the frictional force that acts
on the ball?
18. What does it
mean for two
quantities to
be inversely
proportional
to each
other?
a. When one variable increases,
the other variable decreases by a
greater amount.
b. When one variable increases,
the other variable also increases.
c. When one variable increases,
the other variable decreases by
the same factor.
d. When one variable increases,
the other variable also increases
by the same factor.
19. Only two forces
are acting on an
object: force A to
the left and force
B to the right. If
force B is greater
than force A, in
which direction
will the object
move?
a. To the right
b. To the left
c. Upward
d. The object does not move
20. A person pushes an
object of mass 5.0
kg along the floor by
applying a force. If
the object
experiences a
friction force of 10 N
and accelerates at
18 m/s2, what is the
magnitude of the
force exerted by the
person?
a. −90 N
b. −80 N
c. 90 N
d. 100 N
21. What kind of
force is
friction?
a. External force
b. Internal force
c. Net force
d. None of these
26. Why is this
expression
for kinetic
energy
incorrect?
a. The constant is missing.
b. The term should not be
squared.
c. The expression should be
divided by 2 .
d. The energy lost to friction
has not been subtracted.
27. A boy pushes his
little sister on a sled.
The sled accelerates
from 0 to 3.2 m/s . If
the combined mass
of his sister and the
sled is 40.0 kg and
18 W of power were
generated, how long
did the boy push the
sled?
a. 205 s
b. 128 s
c. 23 s
d. 11 s
28. A runner at the start
of a race generates
250 W of power as
he accelerates to 5
m/s.
If the runner has a
mass of 60 kg, how
long did it take him
to reach that
speed?
a. 0.33 s
b. 0.83 s
c. 1.2 s
d. 3.0 s
31. How many
10-Ω resistors
must be
connected in
series to
make an
equivalent
resistance of
80 Ω?
a. 80
b. 8
c. 20
d. 40
32. Give a
verbal
expression
for Ohm’s
law.
A. Ohm’s law says that the current through a
resistor equals the voltage across the resistor
multiplied by the resistance of the resistor.
b. Ohm’s law says that the voltage across a
resistor equals the current through the resistor
multiplied by the resistance of the resistor.
c. Ohm’s law says that the resistance of the
resistor equals the current through the resistor
multiplied by the voltage across a resistor.
d. Ohm’s law says that the voltage across a
resistor equals the square of the current
through the resistor multiplied by the resistance
of the resistor.
A hypothesis is a tentative assumption based on what is already known
b. A scientific model is a representation of something that is often too difficult to study directly. It is useful for studying a complex system or systems that humans cannot observe directly.
c. The hypothesis must be a short and concise statement.
a. A scientific theory is an explanation of natural phenomena that is supported by evidence.
b. A hypothesis is an educated guess about natural phenomenon, while a scientific theory is an explanation of natural world with experimental support.
To convert from kilometers per hour (km/h) to miles per hour (mi/h), you can use the conversion factor provided:
1 mile is about 1.609 kilometers.
So, to find the equivalent speed limit in miles per hour:
Speed limit in mi/h = (Speed limit in km/h) / 1.609
Speed limit in mi/h = (100 km/h) / 1.609 ≈ 62.14 mi/h
So, the speed limit of 100 km/h is approximately 62.14 mi/h.
The closest answer choice is:
c. 62 mi/h
CThis hypothesis suggests that the observed phenomenon is due to differences in resistance between the floor and the box when it is stationary versus when it is in motion. It is testable by conducting experiments to measure and compare the forces required to initiate motion (static friction) and maintain motion (kinetic friction) for the box on the floor.
o convert the speed of sound from meters per second (m/s) to kilometers per hour (km/h), you can use the following conversion factors:
1 kilometer = 1000 meters 1 hour = 3600 seconds
So, to convert m/s to km/h, you can multiply by (3600 / 1000):
Speed in km/h = Speed in m/s * (3600 / 1000)
Speed in km/h = 342 m/s * (3600 / 1000)
Speed in km/h = 1231.2 km/h
Now, let's express this answer in scientific notation:
1231.2 km/h can be written in scientific notation as 1.2312 x 10^3 km/h.
o convert the speed of sound from meters per second (m/s) to kilometers per hour (km/h), you can use the following conversion factors:
1 kilometer = 1000 meters 1 hour = 3600 seconds
So, to convert m/s to km/h, you can multiply by (3600 / 1000):
Speed in km/h = Speed in m/s * (3600 / 1000)
Speed in km/h = 342 m/s * (3600 / 1000)
Speed in km/h = 1231.2 km/h
Now, let's express this answer in scientific notation:
1231.2 km/h can be written in scientific notation as 1.2312 x 10^3 km/h.
o convert the speed of sound from meters per second (m/s) to kilometers per hour (km/h), you can use the following conversion factors:
1 kilometer = 1000 meters 1 hour = 3600 seconds
So, to convert m/s to km/h, you can multiply by (3600 / 1000):
Speed in km/h = Speed in m/s * (3600 / 1000)
Speed in km/h = 342 m/s * (3600 / 1000)
Speed in km/h = 1231.2 km/h
Now, let's express this answer in scientific notation:
1231.2 km/h can be written in scientific notation as 1.2312 x 10^3 km/h.
Let's start with the information given for the outbound trip to the hospital:
Rob drove at an average speed of v m/s for t seconds.
To find the distance traveled for the outbound trip, you can use the formula:
Distance = Speed × Time
So, for the outbound trip, the distance D1 is given by:
D1 = v * t
Now, for the return trip home, Rob drives at an average speed of 3v m/s. Let's denote the time for the return trip as t2 (in seconds). We want to find out how long the return trip takes.
For the return trip, the distance D2 is given by:
D2 = (3v) * t2
Now, for the return trip, we can assume that the distance is the same as for the outbound trip since he's traveling the same path. Therefore, D2 = D1.
So, we can set D1 equal to D2:
v * t = (3v) * t2
Now, let's solve for t2:
t2 = (v * t) / (3v)
Notice that v appears in both the numerator and denominator, so it cancels out:
t2 = (t) / (3)
So, the return trip home takes t/3 seconds, which means it is one-third the duration of the outbound trip.
Let's start with the information given for the outbound trip to the hospital:
Rob drove at an average speed of v m/s for t seconds.
To find the distance traveled for the outbound trip, you can use the formula:
Distance = Speed × Time
So, for the outbound trip, the distance D1 is given by:
D1 = v * t
Now, for the return trip home, Rob drives at an average speed of 3v m/s. Let's denote the time for the return trip as t2 (in seconds). We want to find out how long the return trip takes.
For the return trip, the distance D2 is given by:
D2 = (3v) * t2
Now, for the return trip, we can assume that the distance is the same as for the outbound trip since he's traveling the same path. Therefore, D2 = D1.
So, we can set D1 equal to D2:
v * t = (3v) * t2
Now, let's solve for t2:
t2 = (v * t) / (3v)
Notice that v appears in both the numerator and denominator, so it cancels out:
t2 = (t) / (3)
So, the return trip home takes t/3 seconds, which means it is one-third the duration of the outbound trip.
C
When the velocity of an object is zero, it means the object is not moving in any direction, either because it is at rest (not moving at all) or because it has momentarily stopped before potentially changing direction or returning to its initial point.
b. Double the distance that the object travels, keeping the time constant, or keep the distance constant and reduce the time by half.
To increase the average speed of an object, you can either cover more distance in the same amount of time (double the distance while keeping the time constant) or cover the same distance in less time (reduce the time by half while keeping the distance constant). Both of these methods would result in an increase in average speed from 7.4 km/h to 14.8 km/h.
The rate of change of velocity is called acceleration. It measures how quickly an object's velocity is changing, either in terms of its magnitude (speed) or direction or both. Acceleration is typically expressed in units like meters per second squared (m/s²) or kilometers per hour per second (km/h²), depending on the system of measurement being used.
b. South to north
The frictional force on the ball opposes the direction of its motion. Since the ball is moving from north to south, the frictional force will act in the opposite direction, from south to north. This force opposes the motion and tries to slow down the ball.
a. When one variable increases, the other variable decreases by a greater amount.
Two quantities are inversely proportional to each other when an increase in one quantity results in a larger decrease in the other quantity, and vice versa. In mathematical terms, this relationship can be expressed as the product of the two quantities being constant.
a. To the right
If force B is greater than force A, the net force acting on the object is to the right. According to Newton's first law of motion, an object will accelerate in the direction of the net force applied to it. Therefore, the object will move to the right.
To find the magnitude of the force exerted by the person, you can use Newton's second law of motion, which states:
�=��F=ma
Where: F = Force (in newtons, N) m = Mass of the object (in kilograms, kg) a = Acceleration of the object (in meters per second squared, m/s²)
In this case, you are given:
Mass of the object (m) = 5.0 kg Acceleration of the object (a) = 18 m/s²
Now, you want to find the force (F). Plug in the values:
�=(5.0��)∗(18�/�2)=90�F=(5.0kg)∗(18m/s2)=90N
So, the magnitude of the force exerted by the person is 90 newtons
b. Internal force
Friction is considered an internal force because it acts between two objects in contact and opposes their relative motion or tendency to move. It is a force that arises from the interaction between the molecules on the surfaces of the objects in contact.
a. Speed
In uniform circular motion, the speed of an object remains constant. However, the velocity, acceleration, and displacement of the object can change because they are vector quantities that depend on both magnitude and direction. The direction of the velocity is constantly changing in uniform circular motion, which results in acceleration directed toward the center of the circular path, called centripetal acceleration.
d. Mass, speed, and radius all impact centripetal force.
Centripetal force depends on the mass of the object (m), the square of its speed (v), and the radius (r) of the circular path it's traveling along. The formula for centripetal force is
So, all three quantities - mass, speed, and radius - have an impact on the centripetal force. Increasing any of these factors will result in a greater centripetal force required to keep the object in uniform circular motion.
d. Mass, speed, and radius all impact centripetal force.
Centripetal force depends on the mass of the object (m), the square of its speed (v), and the radius (r) of the circular path it's traveling along. The formula for centripetal force is
So, all three quantities - mass, speed, and radius - have an impact on the centripetal force. Increasing any of these factors will result in a greater centripetal force required to keep the object in uniform circular motion.
To find the time it took for the runner to reach a speed of 5 m/s while generating 250 W of power, you can use the formula for power:
Power (P) = Work/Time
Work (W) is also equal to the change in kinetic energy (ΔKE) of the runner, which can be calculated using the formula:
ΔKE = (1/2) * mass * (final velocity)^2 - (1/2) * mass * (initial velocity)^2
Here:
Initial velocity (initial speed) = 0 m/s (as the runner starts from rest).
Final velocity (final speed) = 5 m/s.
Mass (m) = 60 kg.
First, calculate the change in kinetic energy:
ΔKE = (1/2) * 60 kg * (5 m/s)^2 - (1/2) * 60 kg * (0 m/s)^2 ΔKE = (1/2) * 60 kg * 25 m^2/s^2 - 0 ΔKE = 750 J
Now, we know the power (P) generated is 250 W (Watts), and power is defined as work done per unit time. So, we can set up the equation:
Power (P) = Work (ΔKE) / Time (t)
250 W = 750 J / t
Now, solve for time (t):
t = 750 J / 250 W
t = 3 seconds
So, it took the runner 3 seconds to reach a speed of 5 m/s.
The correct answer is d. 3.0 s.
The SI (International System of Units) unit for electric current is the ampere, symbolized as "A." The ampere is the base unit for electric current and is defined as the flow of one coulomb of charge per second through a conductor. So, 1 ampere (A) is equal to 1 coulomb per second (C/s).
The equivalent unit for an ohm, which is the unit of electrical resistance, is a "volt per ampere" or "V/A." This combination of units represents the ohm in terms of the relationship between voltage (volts) and current (amperes) in Ohm's law, which states that resistance (in ohms) equals voltage (in volts) divided by current (in amperes):
1 ohm = 1 volt / 1 ampere
So, 1 ohm is equivalent to 1 volt per ampere.
To find out how many 10-Ω resistors must be connected in series to make an equivalent resistance of 80 Ω, you can use the formula for the total resistance of resistors in series:
Total Resistance (R_total) = R1 + R2 + R3 + ... (for resistors in series)
In this case, you want to find the number of 10-Ω resistors (let's call it "n") that need to be connected in series to get a total resistance of 80 Ω. So, you can write the equation as:
80 Ω = 10 Ω + 10 Ω + 10 Ω + ... (n times)
Now, you can solve for "n":
80 Ω = 10 Ω * n
To isolate "n," divide both sides by 10 Ω:
n = 80 Ω / 10 Ω
n = 8
So, you would need to connect 8 of the 10-Ω resistors in series to make an equivalent resistance of 80 Ω.
B. Ohm’s law says that the voltage across a resistor equals the current through the resistor multiplied by the resistance of the resistor.
Ohm's law is typically expressed as "V = I * R," where:
V represents voltage (in volts),
I represents current (in amperes or volts per ampere, A or V/A), and
R represents resistance (in ohms, Ω).
So, the voltage (V) across a resistor is equal to the current (I) through the resistor multiplied by the resistance (R) of the resistor