On an icy day, you worry about parking your car in your driveway, which has an incline of 12º. Your neighbor's driveway has an incline of 9.0º, and the driveway across the street is at 6.0º. The coefficient of static friction between tire rubber and ice is 0.15. Which driveway(s) will be safe to park in?
Answers
Answer:
Driveway across the street ([tex]\theta = 6^{\circ}[/tex]) is the only choice for a safe parking.
Explanation:
Let suppose that car is represented by a particle, then we proceed to construct its free body diagram and corresponding equations of equilibrium:
[tex]\Sigma F_{x'} = f - W\cdot \sin \theta = 0[/tex] (Eq. 1)
[tex]\Sigma F_{y'} = N-W\cdot \cos \theta = 0[/tex] (Eq. 2)
Where:
[tex]f[/tex] - Static friction force, measured in newtons.
[tex]N[/tex] - Normal force on the car from the ground, measured in newtons.
[tex]W[/tex] - Weight of the car, measured in newtons.
[tex]\theta[/tex] - Driveway inclination, measured in sexagesimal degrees.
By applying definitions of maximum static friction force and weight, we expand the system of equations presented above:
[tex]\mu_{s}\cdot N -m\cdot g\cdot \sin \theta = 0[/tex] (Eq. 1b)
[tex]N - m\cdot g \cdot \cos \theta = 0[/tex] (Eq. 2b)
Where:
[tex]\mu_{s}[/tex] - Static coefficient of friction, dimensionless.
[tex]m[/tex] - Mass of the car, measured in kilograms.
[tex]g[/tex] - Gravitational acceleration, measured in meters per square second.
Then, we substitute normal force and simplify the resulting expression:
[tex]\mu_{s}\cdot m\cdot g \cdot \cos \theta -m\cdot g \cdot \sin \theta = 0[/tex]
[tex]\mu_{s} = \tan \theta[/tex]
[tex]\theta = \tan^{-1}\mu_{s}[/tex] (Eq. 3)
Based on such result, we can conclude that if driveway inclination is greater than value reported, then car shall not be safe in case of parking. Our reference angle is: ([tex]\mu_{s} = 0.15[/tex])
[tex]\theta = \tan^{-1} 0.15[/tex]
[tex]\theta \approx 8.531^{\circ}[/tex]
By direct comparison, we find that driveway across the street ([tex]\theta = 6^{\circ}[/tex]) is the only choice for a safe parking.
Related Questions
Please do This:
I will name the brainliest!!!
Answers
Answer:
hi
Explanation:
What is the frequency of a wave that has a period of 5 seconds?
O A. 2 Hz
OB. 5 HZ
O C. 20 Hz
O D. 0.2 Hz
Answers
Answer: D
Explanation:
The frequency of a wave that has a period of 5 seconds is 0.2 Hz. Thus, the correct option is D.
What is Frequency?Frequency of a wave is the number of occurrences of a repeating event per unit of the time. Frequency is also occasionally referred to as the temporal frequency for clarity purpose, and it is distinct from that of angular frequency. Frequency is measured in SI units of hertz which is equal to one event per second of the time.
Frequency can be calculated as the number of waves that pass a fixed place in a given amount of time period. The frequency of a wave that has a period of 5 seconds is:
f = 1/T
where, f = frequency,
T = Time taken
f = 1/ 5
f = 0.2 hertz
Thus, the frequency of the wave is 0.2 hertz.
Therefore, the correct option is D.
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Lili 57 seconds to walk from Clash of Clan library at the distance between the classroom in library 30am at whatever speed did Lily walk in m/min __m/min
Answers
Answer:
7mph
Explanation:
An air bubble is at a depth of 3 m below
the surface of lake. What is the pressure
of water on the air bubble?
(take density of water = 1000 kgm )
Answers
Answer:
incorrect its 987 for exact
If the number of wavelengths that pass a point in a given time increases, what has increased?
A.frequency
B.amplitude
C.intensity
D.wavelength
Answers
On Monday, Sylvester walked up 50 stairs in 1 minute. On Tuesday, Sylvester walked up 100 stairs in 2 minutes. Which best describes Sylvester's work and power? a.He did equal work and used equal power on both days. b.He did equal work both days, but used more power on Tuesday. c.He did more work on Tuesday, and used more power on Tuesday. d.He did more work on Tuesday, but used equal power on both days.
Answers
Convert 360 ns to Ms
Answers
Answer:
the answer is ms no soubtrack360 degree
Explanation:
as if we combine ms with the ful form of ns(no soundtrack) we get ms no soundtrack and a 360 which is 360 degree
A car decelerates uniformly from 24 m/s to 18 m/s in 3.0 seconds. How far does it travel during this time?
Answers
Using the trapezium rule, Area = 1/2 x (24+18) x 3 = 21 x 3 = 63m
Distance travelled will be = 63 m
What is equation of motion?
These are the equations that describe the behavior of a physical system in terms of its motion as a function of time .
Given : u = 24 m/s
v= 18 m/s
t = 3sec
using equation of motion : v = u + at
18 = 24 + a*3
-6 = 3a
a = -2 m/s^2
using equation of motion : s = u t + 1/2 a (t^2)
s = 24 * 3 + 1/2 * (-2)(9)
s = 63 m
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A physics student tossed a ball vertically straight upward.
Describe the magnitude of the ball’s vertical velocity at its highest position.
a. The magnitude of vertical velocity is zero.
b. The magnitude of vertical velocity is 9.8 m/s.
c. The magnitude of vertical velocity is at a maximum value.
d. The magnitude of vertical velocity cannot be determined.
Answers
Answer:
c. The magnitude of vertical velocity is at a maximum value.
Explanation:
I think this is correct I'm not entirely sure though
Answer:
Explanation: ns along perpendicular axes are independent and thus can be analyzed separately. This fact was discussed in Kinematics in Two Dimensions: An Introduction, where vertical and horizontal motions were seen to be independent. The key to analyzing two-dimensional projectile motion is to break it into two motions, one along the horizontal axis and the other along the vertical. (This choice of axes is the most sensible, because acceleration due to gravity is vertical—thus, there will be no acceleration along the horizontal axis when air resistance is negligible.) As is customary, we call the horizontal axis the x-axis and the vertical axis the y-axis. (Figure) illustrates the notation for displacement, where \mathbf{s} is defined to be the total displacement and \mathbf{x} and \mathbf{y} are its components along the horizontal and vertical axes, respectively. The magnitudes of these vectors are s, x, and y. (Note that in the last section we used the notation \mathbf{A} to represent a vector with components {\mathbf{A}}_{x} and {\mathbf{A}}_{y}. If we continued this format, we would call displacement \mathbf{s} with components {\mathbf{s}}_{x} and {\mathbf{s}}_{y}. However, to simplify the notation, we will simply represent the component vectors as \mathbf{x} and \mathbf{y}.)
Review of Kinematic Equations (constant a)
x={x}_{0}+\stackrel{-}{v}t
\stackrel{-}{v}=\frac{{v}_{0}+v}{2}
v={v}_{0}+\text{at}
x={x}_{0}+{v}_{0}t+\frac{1}{2}{\text{at}}^{2}
{v}^{2}={v}_{0}^{2}+2a\left(x-{x}_{0}\right)\text{.}
The total displacement \mathbf{s} of a soccer ball at a point along its path. The vector \mathbf{s} has components \mathbf{x} and \mathbf{y} along the horizontal and vertical axes. Its magnitude is s, and it makes an angle \theta with the horizontal.
A soccer player is kicking a soccer ball. The ball travels in a projectile motion and reaches a point whose vertical distance is y and horizontal distance is x. The displacement between the kicking point and the final point is s. The angle made by this displacement vector with x axis is theta.
Given these assumptions, the following steps are then used to analyze projectile motion:
Step 1.Resolve or break the motion into horizontal and vertical components along the x- and y-axes. These axes are perpendicular, so {A}_{x}=A\phantom{\rule{0.25em}{0ex}}\text{cos}\phantom{\rule{0.25em}{0ex}}\theta and {A}_{y}=A\phantom{\rule{0.25em}{0ex}}\text{sin}\phantom{\rule{0.25em}{0ex}}\theta are used. The magnitude of the components of displacement \mathbf{s} along these axes are x and \mathrm{y.} The magnitudes of the components of the velocity \mathbf{v} are {v}_{x}=v\phantom{\rule{0.25em}{0ex}}\text{cos}\phantom{\rule{0.25em}{0ex}}\theta and {v}_{y}=v\phantom{\rule{0.25em}{0ex}}\text{sin}\phantom{\rule{0.25em}{0ex}}\mathrm{\theta ,} where v is the magnitude of the velocity and \theta is its direction, as shown in (Figure). Initial values are denoted with a subscript 0, as usual.
Step 2.Treat the motion as two independent one-dimensional motions, one horizontal and the other vertical. The kinematic equations for horizontal and vertical motion take the following forms:
\text{Horizontal Motion}\left({a}_{x}=0\right)
x={x}_{0}+{v}_{x}t
{v}_{x}={v}_{0x}={v}_{x}=\text{velocity is a constant.}
\text{Vertical Motion}\left(\text{assuming positive is up}\phantom{\rule{0.25em}{0ex}}{a}_{y}=-g=-9.\text{80}{\text{m/s}}^{2}\right)
y={y}_{0}+\frac{1}{2}\left({v}_{0y}+{v}_{y}\right)t
{v}_{y}={v}_{0y}-\text{gt}
y={y}_{0}+{v}_{0y}t-\frac{1}{2}{\mathrm{gt}}^{2}
{v}_{y}^{2}={v}_{0y}^{2}-2g\left(y-{y}_{0}\right)\text{.}
Step 3. Solve for the unknowns in the two separate motions—one horizontal and one vertical. Note that the only common variable between the motions is time t. The problem solving procedures here are the same as for one-dimensional kinematics and are illustrated in the solved examples below.
Step 4.Recombine the two motions to find the total displacement\mathbf{\text{s}} and velocity \mathbf{\text{v}}. Because the x – and y -motions are perpendicular, we determine these vectors by using the techniques outlined in the Vector Addition and Subtraction: Analytical Methods and employing A=\sqrt{{A}_{x}^{2}+{A}_{y}^{2}} and \theta ={\text{tan}}^{-1}\left({A}_{y}/{A}_{x}\right) in the following form, where \theta is the direction of the displacement \mathbf{s} and {\theta }_{v} is the direction of the velocity \mathbf{v}:
Total displacement and velocity
s=\sqrt{{x}^{2}+{y}^{2}}
\theta ={\text{tan}}^{-1}\left(y/x\right)
v=\sqrt{{v}_{x}^{2}+{v}_{y}^{2}}
{\theta }_{v}={\text{tan}}^{-1}\left({v}_{y}/{v}_{x}\right)\text{.}
(a)
1. If all other things remain equal, which of the following changes to a closed circuit would result in increased resistance to the flow of electric current?
Correct Answer: A) Reducing the thickness of the conductor
B) Replacing the conductor with a more conductive material
Incorrect Response: C) Reducing the length of the conductor
D) Reducing the temperature of the conductor
2. What term refers to producing magnetism by placing a body within a magnetic field?
A) Polarization
B) Natural magnetism
C) Incorrect Response: Artificial magnetism
D) Correct Answer: Induced magnetism
3. What two things must exist for an electric current to be produced?
A) A negatively charged electrode and a positively charged electrode
B) Incorrect Response: A pair of highly conductive materials and a conducting path between them
C) Correct Answer: An electric potential between two bodies and a conducting path joining the bodies
D) A source of voltage and an open circuit
4. If all other things remain equal, which of the following changes to a closed circuit would result in increased resistance to the flow of electric current?
A) Correct Answer: Reducing the thickness of the conductor
B) Replacing the conductor with a more conductive material
C) Incorrect Response: Reducing the length of the conductor
D) Reducing the temperature of the conductor
5. Three components in a parallel circuit have individual resistances of r1, r2, and r3. What formula can you use to determine the total resistance of the circuit?
A) 1/R= r1 + r2 + r3
B) Incorrect Response: R= 1/r1 + 1/r2 + 1/r3
C) Correct Answer: 1/R= 1/r1 + 1/r2 + 1/r3
D) R= r1 + r2 + r3
6. Which of the following materials commonly used in electronic devices is classified as a semiconductor?
A) Correct Answer: Silicon
B) Incorrect Response: Copper
C) Glass
D) Plastic
7. Which of the following explains why your hair stands on end when you rub it with a balloon?
A) The balloon creates friction, which sticks your hair to it.
B) Correct Answer: Electrons from your hair jump to the balloon, causing it to become negatively charged on one side.
C) Incorrect Response: Protons from your hair jump to the balloon, causing it to become negatively charged on one side.
D) Protons from the balloon jump to your hair, causing it to become negatively charged.
Answers
Answer:
1. A) Reducing the thickness of the conductor would result in increased resistance to the flow of electric current
2. D) Induced magnetism produces magnetism by placing a body within a magnetic field.
3. C) For an electric current to be produced, an electric potential between two bodies and a conducting path joining the bodies.
4. YOU REPEATED QUESTION 1&4.
5. C) 1/R= 1/r1 + 1/r2 + 1/r3
6. A) Silicon, commonly used in electronic devices, is classified as a semiconductor
7. B) Electrons from your hair jump to the balloon, causing it to become negatively charged on one side.
Explanation:
7. The balloon “steals” electrons from your hair, which causes one side of the balloon to become negatively charged. Since your hair lost electrons, it now has a partial positive charge. Opposite charges of static electric attract, causing them to stick together.
6. For a material to be considered a semiconductor, it must have a resistance to electric current that's too high to be considered a conductor but too low to be considered an insulator. Three common semiconductors used in electronic devices are silicon, germanium, and selenium.
5. If three components are arranged to form a parallel circuit, and the individual resistance of these components are r1, r2, and r3 respectively, the formula for finding the total resistance R is: 1/R= 1/r1 + 1/r2 + 1/r3.
4. YOU REPEATED QUESTIONS 1 & 4.
3. For an electric current to be produced, there must be an electric potential between two bodies and a conducting path joining the bodies. Two oppositely charged bodies won't produce a current unless there's a conduction path for the electrons to travel through.
2. Placing a piece of metal such as an iron bar into a magnetic field, thereby causing the bar to become magnetized, is known as induced magnetism. Typically, an object that has been magnetized in this manner will lose its magnetic properties quickly when removed from the magnetic field.
1. The resistance to electric current increases as the cross-section of the conductor is reduced, as the conductor is lengthened, and as the conductor is heated. Replacing the conductor with a less-conductive material increases the resistance as well.
1 & 4. A) Reducing the thickness of the conductor would result in increased resistance to the flow of electric current.
2. D) Induced magnetism produces magnetism by placing a body within a magnetic field.
3. C) The two things must exist for an electric current to be produced is an electric potential between two bodies and a conducting path joining the bodies.
5. C) The formula used to determine the total resistance of the circuit is 1/R= 1/r1 + 1/r2 + 1/r3
6. A) Silicon, commonly used in electronic devices, is classified as a semiconductor
7. B) Electrons from your hair jump to the balloon, causing it to become negatively charged on one side.
What is electric current?The stream of positive charges which flow from the positive terminal to the negative terminal of the battery attached in a circuit.
1 & 4. An electric potential between two bodies and a conducting path joining the bodies is required to produce current. If all other things remain equal, changes to a closed circuit that would result in increased resistance to the flow of electric current is reducing the thickness of the conductor.
The correct option is A.
2. If an iron bar placed into a magnetic field, it become magnetized, also known as induced magnetism. The term refers to producing magnetism by placing a body within a magnetic field is induced magnetism.
The correct option is D.
3. The two things must exist for an electric current to be produced is an electric potential between two bodies and a conducting path joining the bodies.
The correct option is C.
5. If three components are arranged to form a parallel circuit, and the individual resistance of these components are r1, r2, and r3 respectively, the formula for finding the equivalent resistance R is: 1/R= 1/r1 + 1/r2 + 1/r3.
The correct option is C.
6. A semiconductor must have a resistance to electric current . Three common semiconductors used in electronic devices are silicon, germanium, and selenium.
The correct option is A.
7. The balloon transfers electrons from your hair, which causes one side to become negatively charged. Hair lost electrons, it has a partial positive charge. Opposite charges of static electric attract, causing it to stick together. So, hair stands on end when you rub it with a balloon because electrons from your hair jump to the balloon, causing it to become negatively charged on one side.
The correct option is B.
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what is the answer?!
Answers
If the total age of three brothers Jack Sam and DeMarco is 33 what are the ages of the boys if Sam is half of the age of Jack and DiMarco is two years younger than Jack
Answers
Answer:
Jack is 14, DiMarco is 12, Sam is 7
Explanation:
Which of the following is a characteristic of electromagnetic waves?
A: they are all visible
B: they have a purely particle nature
C: they can travel with or without a medium
D: they cannot travel very fast
Answers
a person’s acceleration is 8m/s^2 from 2 seconds to 10 seconds, what is their change velocity?
Answers
Answer:
32 m/s
Explanation:
Two trains are on separate but parallel tracks running east and west. One has a speed of 90 km/h, the other 80 km/h. Initially, the trains are 5 km apart and are approaching each other. How long will it take the two trains to have the same position along the east-west direction?
Answers
Answer: 4 hours
Explanation: Their approach rate is 100+140 or 240 km/h and 960/240 which equals 4 hours
if an object measures to be 80 centimeters in length, then it is equivalent to ____
Answers
Answer:
31.496 inches
Explanation:
Click The Pros and Cons of Plastics and use the information to answer the question.
Which scenario shows an indirect environmental impact of using plastics?
Answers
Answer:
Plastics being consumed by fish and passing toxic compounds to the humans eat the fish.
Explanation:
I did that answer and got it right.
Answer:
Plastics being consumed by fish and passing toxic compounds to the humans that eat the fish.
Explanation:
Why do you think the lunar cycle is longer than the time it takes the moon to orbit Earth?
Answers
Answer:
because the moon returns to the same place on the sky once every siderial period, but the sun is also moving on the sky.
Explanation:
Hope that helps!
Answer:
Because the moon returns to the same place on the sky once every siderial period (27.3 days), but the sun is also moving on the sky.Cycle of lunar phases takes 29.5 days. This is called the SYNODIC PERIOD
Explanation:
A ball is thrown horizontally from a 11 m high building with a speed of 9.0 m/s.
How far from the base of the building does the ball hit the ground?
Express the answer using two significant figures.
Answers
Answer:
the answer to you're question is d=9
HEY CAN ANYONE PLS ANSWER DIS!!!!!!!
Answers
Answer:
A. Filtration
Explanation:
Chromatography can not be used to seperate A(l) from the mixture. And you can not even perform the method since B(s) is present.
As for distillation, this process is used to seperate liquid from mixture of liquids. Filtration is effective in seperation of liquid and solid.
Determine how far a vehicle moved if it started at 12 m/s and accelerated up to 47 m/s in a time of 34s.
Answers
Answer:
[tex] s = 1,003 \: m[/tex]
Explanation:
[tex]s = \frac{1}{2} (u + v)t = \frac{1}{2} (12 + 47)34 \\ s = 1,003 \: m[/tex]
A cricket stump has a sharp point at one end use the words force area or pressure
Answers
Answer:
using the pressure of stump
Answer: Using the pressure of a stump
All students perceive poor grades as disappointing.
Please select the best answer from the choices provided
Т
F
Answers
Answer:
False
Explanation:
what of the average speed from 4s from 8s
A.0.5m/s
B.1m/s
C.2m/s
D.3m/s
E.9m
Answers
=====================================================
Explanation:
At 4 seconds, the distance is 8 meters. Note the point (4,8)
At 8 seconds, the distance is 10 meters. The point here is (8,10)
Find the slope of the line through (4,8) and (8,10)
m = (y2-y1)/(x2-x1)
m = (10-8)/(8-4)
m = 2/4
m = 1/2
m = 0.5
The average speed on this interval is 0.5 m/s
-----------------
Another way to look at it:
We've gone from 8 meters to 10 meters, so that's a change of y = 2 meters.
During this, the time has changed from 4 seconds to 8 seconds, which is a difference of x = 4 seconds.
The velocity is the rate of change of distance over time
velocity = (change in distance)/(change in time) = y/x = 2/4 = 0.5 m/s
3. Let the pen return to its vertical position and suddenly pull the thread.
Q4. What happened to the thread tied on the pen?
Answers
Answer:
The thread will experience a force on it .
Explanation:
When thread is tied to pen it will experience force. Because the pen is Abit heavy , there is a force that is applied to it which will cause it to elongate , after a while the thread will stretch, elongate and can later experience deformation. When it experience that, the thread can break after deformation and it has losses it elasticity.
The zygote eventually becomes a(n)
sperm
egg
baby
uterus
HURRY 30 MINUTES LEFT
(SCIENCE )
Answers
Answer:
baby
Explanation:
Answer:
The zygote eventually becomes a baby
Explanation:
Got it right on a unit test in edg 2020
The speed of a fishing boat is 15 km/hr. How far will the boat travel in 6 hours?
Answers
Answer: 90 Km
Explanation:
15 Km/hr X 6/hr = 90Km
Explain the quantization of energy.
Answers
Answer:
The quantization of energy refers to the fact that at subatomic levels, energy is best thought of as occurring in discreet "packets" called photons. Like paper money, photons come in different denominations. ... Each photon contains a unique amount of discreet energy
Which of these consumers is an herbivore? *
1. lion
2. deer
3. spider
4. snake
Answers
Answer:
2. deer
Explanation:
The lion, spider, and snake eat meat or to an extent.
Deer don't eat meat
Answer:
deer :)
Explanation:
The rest are basically carnivores
an someone help me please, thanks.
Answers
Magnetic field
Ozone
Carbon dioxide
Water in oceans