The constant vertical force F that must be applied to the cord is equal to 14.7 times the mass of the block.
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The value of the constant vertical force applied on the cord with the block is 3.9 N.
If a consistent vertical force applied to the mass is co-linear with the spring force, the spring-mass system will experience simple harmonic motion.
Mass of the block, m = 0.5 kg
Change in length, sb = 0.15 m
Final velocity of the block, vb = 2.1 m/s
From the diagram, we can say that,
Tb + Vb = Ta + Va + U(ab)
Tb = 1/2 m(vb)²
Tb = 1/2 x 0.5 x (2.1)²
Tb = 1.1025 J
Vb = mg x sb
Vb = 0.5 x 9.8 x 0.15
Vb = 0.735J
Also,
Ta = 0, Va = 0
For the spring,
Vb' = 1/2k x sb²
Vb' = 1/2 x 100 x (0.15)²
Vb' = 1.125 J
So, according to Pythagoras theorem,
BC = √(0.15)²+ (0.3)²
BC = √0.1125
BC = 0.335 m
AC = √(0.3)²+ (0.3)²
AC = √0.18
AC = 0.424 m
So, Δl = AC - BC
Δl = 0.759
So,
U(ab) = F x Δl = 1.1025 + 0.735 + 1.125
Therefore, the constant vertical force is given by,
F = 2.9625/0.759
F = 3.9 N
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a 2.4 g g plastic bead charged to -4.0 nc n c and a 3.7 g g glass bead charged to 8.0 nc n c are 2.4 cm c m apart and free to move. part a what is the magnitude of acceleration of the plastic bead? express your answer with the appropriate units.
The magnitude of acceleration of the charged plastic bead can be calculated by using Coulomb's Law which is -6.21 m/s^2.
According to Coulomb's Law, the force between two charged particles is given by the equation
F = k*(q1*q2)/(r^2), where k is the Coulomb's constant, q1 and q2 are the charges of the two particles, and r is the distance between the two particles.
In this case, k = 8.99 x 10^9 Nm^2/C^2, q1 = -4.0 nC, q2 = 8.0 nC, and r = 2.4 cm.
Using the equation, the magnitude of the force between the two particles is calculated as F = 8.99 x 10^9 x (-4.0 x 10^-9)(8.0 x 10^-9) / (2.4 x 10^-2)^2 = -14.9N.
The acceleration of the plastic bead can then be calculated using Newton's Second Law of Motion
F = ma.
Therefore, a = F/m, where m is the mass of the bead. In this case, the mass of the plastic bead is 2.4 g.
So, the magnitude of acceleration of the plastic bead is a = -14.9N/2.4g = -6.21 m/s^2.
Therefore, the magnitude of acceleration of the plastic bead is -6.21 m/s^2.
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what is the resistance of an object that produces a current of a 6 A and has a voltage of 30
Answer:
this is the answer the required questions
hope you like this
The value of y is directly proportional to the value of z. When z = 6.25, the value of y is 25.
What is the value of y when z = 12?
Answer:
48
Explanation:
y directly prop. to z
y=25
z=6.25
y=kz(k=prop. constant)
25=6.25k
k=4
now,
when z=12
then,
y=4z
y=4×12
y=48
celeration and Newton's 3 laws:
I
1. A car is traveling at 28 meters per second north; 10 seconds later the car is
traveling 15 meters per second north. What is the car's acceleration?
The car's acceleration is -1.3 meters per the second square
To solve this, use the first equation of motion v=u+at
where, v = final velocity(meters per second )
u = initial velocity(meters per second )
a = acceleration(meters per second square)
t = time (seconds)
According to the question,
Initial velocity(u) of the car = 28 meters per second
Final velocity(v) of the car = 15 meters per second
Time (t) = 10 seconds
Acceleration of the car(a) =?
Substituting the values in equation v =u+at
v= u+at
15 = 28 + ax10
15-28 = 10a
-13 = 10a
a = -13/10
a = -1.3 meters per second square
The car's acceleration is = -1.3 meters per second square
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The acceleration of this car is equal to -1.3 meters per seconds square (m/s²).
How to calculate the acceleration of this car?Mathematically, the acceleration of this car can be calculated by using this mathematical expression:
a = (V - U)/t
Where:
a represents the acceleration measured in meters per seconds square (m/s²).V represents the final velocity measured in meters per seconds (m/s).U represents the initial velocity measured in meters per seconds (m/s).t represents the time measured in seconds.Substituting the given parameters into the acceleration formula, we have;
Acceleration, a = (15 - 28)/10
Acceleration, a = -13/10
Acceleration, a = -1.3 m/s².
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Liquid containers are made of a variety of materials, each with
its own unique characteristics. Give specific examples of materials
used for liquid containers that are 1) covalently bonded, 2) metal
b
Liquid containers are necessary to store liquids or other fluids, and are manufactured using various materials. These materials have unique properties and physical characteristics to meet the diverse requirements of different fluids and their storage conditions. Two of the materials used to make liquid containers are covalently bonded and metal.
1) Covalently bonded materials:Covalent bonds are strong bonds formed between atoms by sharing electrons. Covalently bonded materials are non-metallic materials that use a covalent bond between atoms to form the material. Examples of covalently bonded materials that can be used to manufacture liquid containers include:
- Polyethylene Terephthalate (PET): PET is a plastic material used to make water bottles and soft drink bottles. PET is lightweight and unbreakable, making it ideal for shipping and storing liquids.
- Polypropylene (PP): PP is a popular plastic material that is lightweight, durable, and resistant to chemical reactions. PP is used to make containers that store harsh chemicals and strong acids, as well as food containers, such as yogurt cups and margarine tubs.
In conclusion, there are many materials available that can be used to manufacture liquid containers, including covalently bonded materials and metals. The choice of material used depends on the type of liquid being stored and the storage conditions.
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Help please, with #18, it’s a basketball question
Answer: D
Explanation:
Answer:
C. A lob pass.
Hope this helps!!
Compare the temperature changes in the stratosphere with those in the troposphere.
Answer:
the temperature in the troposphere decreases while the temperature in the stratosphere increases because of the density of air molecules.
Explanation:
sorry ima little late
The slope of a distance-time graph will give
Hurry i have until 4 to turn in
A man walks 7 m north in 15 seconds and then south for 2 m in 8 seconds. What is the
man's average speed?
Answer:
9miles average speed and 23 seconds
Proper use of the friction zone makes it easier to:___
a. start out on a hill
b. search ahead
c. make a quick stop
d. change lane position when riding through a curve
The proper use of the friction zone enhances control and maneuverability in various riding situations, including starting on a hill, searching ahead, making quick stops, and changing lane positions through curves.
The proper use of the friction zone refers to the skillful manipulation of the clutch on a motorcycle to control the engagement and disengagement of power to the rear wheel. By understanding and effectively utilizing the friction zone, riders can enhance their control over the motorcycle's acceleration, deceleration, and overall maneuverability.
Among the options provided, the use of the friction zone is particularly beneficial in situations where precise control and smooth transitions are necessary. Let's examine each option in detail:
a. Start out on a hill: When starting out on an uphill slope, the friction zone allows riders to gradually engage the power while releasing the clutch, preventing the motorcycle from rolling back. By carefully managing the clutch and throttle, riders can find the optimal balance between power delivery and clutch engagement, ensuring a smooth and controlled start.
b. Search ahead: The friction zone enables riders to maintain a moderate level of power while keeping the clutch partially engaged. This allows them to better scan the road ahead, assess potential hazards, and react promptly. By controlling the power delivery through the friction zone, riders can maintain a comfortable speed and stay prepared for any necessary maneuvers.
c. Make a quick stop: When approaching a sudden stop, skilled riders can use the friction zone to disengage the clutch smoothly, preventing the motorcycle from lurching forward or stalling. By modulating the clutch and gradually applying the brakes, riders can come to a controlled stop without sacrificing stability.
d. Change lane position when riding through a curve: In a curve, the friction zone allows riders to adjust their speed and control their line by manipulating the power delivery. By slightly engaging or disengaging the clutch, riders can fine-tune their acceleration or deceleration within the curve, enabling them to position themselves optimally for the desired line and navigate the curve smoothly.
In summary, it provides riders with the ability to manage power delivery and clutch engagement, leading to smoother transitions, improved stability, and overall safer riding experiences.
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The friction zone in a manual vehicle's operation refers to the point where the clutch is partially engaged, aiding in certain maneuvers. In the referenced question, the use of the friction zone can particularly ease the process of starting out on a hill.
Explanation:The friction zone is a term often used in the context of operating a manual transmission vehicle or motorcycle. It is the gray area wherein the clutch is partially engaged, enabling a connect between the engine and the transmission. This control of power makes certain maneuvers easier.
In the context of this multiple choice question, the proper use of the friction zone makes it easier to: start out on a hill. When on a hill, the friction zone provides the necessary control to prevent the vehicle from rolling backward, making the process of starting smoother and easier.
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Im really stressed out can you guys help with some work i have. Also i know it says physics as the subject but they had no option for science in general
Can someone write definition and examples for all these words Im in 8th grade and this last semester has been hell
Words:
microorganism
pathogen
toxin
parasite
virus
bacteria
fungi
inflammatory response
phagocyte
lymphocyte
antigen
antibody
immunity: passive and active
vaccination
vaccine
antibiotics
allergy
histamine
carcinogen
tumor
Microorganism: A microscopic organism, such as a bacterium or virus ; Pathogen: An organism or substance capable of causing disease; Toxin: A poisonous substance produced by living cells or organisms.
What is parasite?Parasite: Organism that lives on/ within another organism (host), causing harm to host.
Virus: Submicroscopic infectious agent that replicates inside living cells.
Bacteria: Single-celled microorganism that can cause disease or aid in various biological processes.
Fungi: A group of organisms that includes yeasts, molds, and mushrooms, often associated with the decomposition of organic matter.
Inflammatory response: Physiological response to injury or infection characterized by redness, heat, swelling, and pain.
Phagocyte: Type of white blood cell that engulfs and destroys foreign substances in the body.
Lymphocyte: A type of white blood cell responsible for the body's immune response.
Antigen: Substance that triggers an immune response by the body.
Antibody: Protein produced by the body in response to the presence of an antigen, which helps to neutralize or destroy the antigen.
Immunity: Ability of the body to resist disease through the production of antibodies.
Vaccination: Administration of a vaccine to stimulate the immune system to produce immune response to specific pathogen.
Vaccine: Substance that contains weakened or inactive pathogens, or parts of pathogens, that stimulate the immune system to produce immune response to specific pathogen.
Antibiotics: Medications that inhibit or kill bacteria.
Allergy: Immune response to a harmless substance that is perceived as a threat by the body.
Histamine: Chemical released by the body in response to injury or infection that causes inflammation and other immune responses.
Carcinogen: Substance capable of causing cancer.
Tumor: Abnormal growth of cells that may be benign (non-cancerous) or malignant (cancerous).
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How many oxygen atoms are in one mole of O2 molecules?
2 oxygen atoms
Solution — 1 molecule of O2 = 2 oxygen atoms So, 1 mole of O2 = 2 mole oxygen atoms = 2 × 6.022 × 1023 = 12.044 ×1023 oxygen atoms.
There are 12.046×10²³ molecules in one mole of O₂ gas.
Each molecule of oxygen has 2 atoms. Avogadro explained that at constant pressure and volume there are certain number of molecules in one mole of gas, irrespective of the type of gas. The number of molecules in 22.4 L of any gas is 6.023 × 10²³. This constant is known as avogadro constant. This is one of the most important constant in the chemistry. If the atomic weight of a gas is 35. It means 35 is the weight of the one mole of gas or of 6.023 × 10²³ molecules of that gas. Atomic weight of any gas is the weight of a fixed number of molecules, which is determined by the avogadro's number. So the number of molecules in one mole of O₂ gas = 2 × 6.023 × 10²³
= 12.046×10²³
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Gamma radiation can be significantly reduced by…
A sheet of paper
Air
A 3 mm thickness of aluminium
Several cm of lead
Answer:
Several cm of lead
Explanation:
15 percent input work is lost due to friction,then what is the efficiency of machine?
Answer:
{ (x/y )*100 } - 0.15 y
Explanation:
The efficiency of a machine is the percent of output work divided by input work minus work lost from friction and heat.
Assume work output = x
Assume work input percent as =y
Work lost through friction is given as : 15% input work = 0.15 y
Then efficiency of the machine will be :{ (x/y )*100 }- 0.15 y
Use real values for x and y to find the correct efficiency of the machine.
The maximum horizontal distance a boy can throw a ball is 50 m. Assume he can throw
with the same initial speed at all angles. How high does he throw the ball when he throws
it straight upward?
(Hint: At what angle should the boy throw the ball to get furthest distance?]
The height the ball reaches when the boy throws the ball up in the air is 12.6m.
Given the maximum horizontal distance a boy can throw a ball (s) = 50m
The initial speed of the ball = um/s
The maximum height reached = ym
The motion in vertical direction is given as:
y = ut1 + 1/2at1^2 where v is the speed in vertical direction and a is the acceleration and t1 is the time taken to travel upward distance.
s = 0 + gt^2/2 then t = √2s/g = √2 x 50/9.8 = 3.18s
We know that as the velocity is same at any point in distance travelled distance = speed x time = 50m
So t1 = t/2 as it covers half time when reached maximum height.
The velocity (v) = gt = 9.8 x 3.18 = 31.164m/s
The maximum height reached (y) = vt1 + 1/2gt1^2 where t1 - t/2
y = vt/2 + 1/2g(t/2)^2
y = 50/2 + 1/2(9.8)(3.18/2)^2
y = 12.6m
Hence the maximum height the ball can be thrown is 12.6m.
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Dados los vectores a ⃗=6m y b ⃗=8m encontrar su resultante cuando Forman ángulo recto de 90° Son paralelos de igual sentido Son paralelos de sentido contrario
Answer:
I will answer in English, and i will give some representation for each case:
We have a = 6m and b = 8m.
If they are perpendicular, we have that:
a = (6m, 0) b = (0, 8m)
The adition is:
a + b = (6m, 8m).
If they are parallel, we have;
a = (6m, 0)
b = (8m, 0)
a + b = (6m + 8m, 0) = (14m, 0 )
If they are parallel but opposite:
a = (6m, 0)
b = (-8m, 0)
a + b = (6m - 8m,0) = (-2m, 0)
Which of these would have the highest temperature?
ice
water
water vapor
Answer:
Water vapor
Explanation:
Water Vapor has the highest temperature, due to its being in a gas state, and gases usually have very high temperatures, for example steam when you boil pasta.
Hope this helps you! Have a nice day!
The author’s purpose for writing this article is to . the quotation from the article that most clearly states the author’s purpose is:_______
The quotation from the article that most clearly states the author's purpose is “Woodrow started his own clothing label.”
According to the passage, starting a new business might be difficult, yet a teenager in rural South Australia is able to manage his own clothing label while also finishing high school.
Nathan Woodrow, who is now 16 and is a Year 11 student at Renmark High School, launched his own clothing line, Ryde Clothing, last year.
Teenagers and young adults who were passionate about life were his target market.
The sentence "Woodrow created his own clothing label" is the one from the article that best encapsulates the author's intention.
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Complete question - using the Author's Purpose
The author's purpose for writing this article is to
The quotation from the article that most clearly states
the author's purpose is
Getting a new business off the ground can be a challenge,
but a teenager in regional South Australia is managing to
not only run his own clothing label, but complete high
school at the same time.
Last year at the age of 16 and while studying Year 11 at
Renmark High School, Nathan Woodrow started his own
clothing label, Ryde Clothing
His target market was teenagers and young adults
wanting to grab life with a passion.
Using the motto "stay stoked" (defined by Urban
Dictionary as a state of limitless enthusiasm), Nathan
drew his clothing designs around skating, surfing and
riding
These were his passions until he a knee injury sidelined
him from sport and he ventured into the world of
business to fill the void.
The air pressure variations in a sound wave cause the eardrum to vibrate. (a) Fora given vibration amplitude, and the maximum velocity and acceleration of the eardrum greatest for high-frequency sound of low-frequency sounds? (b) Find the maximum velocity and acceleration of the eardrum for vibrations of amplitude
1.0×10−81.0×10−8
m at a frequency of 20.0 Hz. (c) Repeat (b) for the same amplitude but a frequency of 20.0 kHz.
The maximum velocity and acceleration of the eardrum are greater for high-frequency sound compared to low-frequency sounds.The wavelength of a sound wave is inversely proportional to its frequency. The maximum acceleration is approximately 1.59×10⁻⁴ m/s². Amplitude is 1.0×10⁻⁸.
(a) For a given vibration amplitude, the maximum velocity and acceleration of the eardrum are greater for high-frequency sound compared to low-frequency sounds.
The explanation for this can be found in the relationship between frequency and wavelength. The wavelength of a sound wave is inversely proportional to its frequency. The wavelengths of higher-frequency noises are shorter than those of lower-frequency sounds.
It oscillates when the eardrum vibrates in response to a sound wave. How swiftly the eardrum moves determines its velocity, and the acceleration is proportional to how rapidly the velocity varies.
In the case of high-frequency sound waves with shorter wavelengths, the eardrum must resonate more quickly in order to keep up with the wave's compressed and rarified regions. This results in increased speeds and accelerations of the eardrum.
Low-frequency sound waves with longer wavelengths, on the other hand, cause the eardrum to resonate more slowly, resulting in lower velocities and accelerations.
(b) To find the maximum velocity and acceleration of the eardrum for vibrations of amplitude 1.0×10⁻⁸m at a frequency of 20.0 Hz:
The maximum velocity (v_max) of the eardrum can be calculated using the formula:
v\(_{max}\) = 2πfA
Substituting the given values:
v\(_{max}\) = 2π × 20.0 Hz × 1.0×10⁻⁸ m
Calculating the value:
v\(_{max}\) = 1.26×10⁻⁶ m/s (rounded to two significant figures)
The maximum acceleration (a\(_{max}\)) of the eardrum can be found using the relationship: a\(_{max}\) = (2πf)²A
Substituting the given values:
a\(_{max}\) = (2π × 20.0 Hz)² × 1.0×10⁻⁸ m
Calculating the value:
a\(_{max}\) = 1.59×10⁻⁴ m/s² (rounded to two significant figures)
Therefore, for vibrations of amplitude 1.0×10⁻⁸ m at a frequency of 20.0 Hz, the maximum velocity of the eardrum is approximately 1.26×10⁻⁶m/s, and the maximum acceleration is approximately 1.59×10⁻⁴ m/s².
(c) To repeat the calculation for the same amplitude (1.0×10⁻⁸ m) but a frequency of 20.0 kHz:
Using the same formulas as before, we can calculate the maximum velocity and acceleration:
v\(_{max}\) = 2πfA
v\(_{max}\) = 2π × (20.0 × 10³ Hz) × 1.0×10⁻³ m
Calculating the value:
v\(_{max}\) = 1.26 m/s (rounded to two significant figures)
a\(_{max}\) = (2πf)²A
a\(_{max}\) = (2π × (20.0 × 10³ Hz))² × 1.0×10⁻⁸ m
Calculating the value:
a\(_{max}\) = 1.59 × 10⁶m/s² (rounded to two significant figures)
Therefore, for vibrations of amplitude 1.0×10⁻⁸.
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Of the following numbers: 0.0034 m, 45.6 m, and 1234 m, _____ is the least precise.1) 0.0034 m2) 45.6 m3) 1234 m4) none
ANSWER:
3) 1234 m
STEP-BY-STEP EXPLANATION:
Precision refers to how close two measurements are to one another. The highest number with a significant digit is the most precise, the number that has the most significant figures. Therefore, the less accurate is the opposite.
Which means that in this case, the least precise number is 1234 m.
help meeeeeeeeeeee
what is the rheostat and what its ruleeee??
Answer:
Rheostat:=> Rheostat is an electric device used as a variable resistance, like the regulator of the fan. It is used to change the electric resistance in the electric circuit.
Principle / Rule:=> Rheostat works on the principle of Ohm’s law. Ohm’s law states that current in a circuit is inversely proportional to the resistance at the given temperature.
\( \infty \infty \infty \)
Rank the four fundamental forces from strongest to weakest
Answer:gravitational, weak nuclear, electromagnetic, strong
Explanation:
A sailor walks north on a ship at 3mph. The ship is traveling S30°E at 24mph. Find the true direction in which the sailor is walking as an angle with the positive x-axis. 4 (a) 0 = 1-4√3 1- 4√3 (b) 0 = 4 3 (c) 0 = 4√3 4√3 (d) 0 = 3 (e) None of these 6e-¹ +6e² if r <0 2e- 5e2T
The correct option is e).
To find the true direction in which the sailor is walking, we can use vector addition to add the velocity of the sailor to the velocity of the ship. Let's assume that the positive x-axis is pointing east and the positive y-axis is pointing north. Then the velocity of the sailor can be represented as a vector in the direction of the positive y-axis with a magnitude of 3 mph. The velocity of the ship can be represented as a vector in the direction S30°E with a magnitude of 24 mph.
To add these two vectors, we can resolve the vector of the ship into its x and y components. The angle between the positive x-axis and S30°E is 60 degrees, so we can find the x and y components of the ship's velocity using trigonometry:
x-component = 24 mph * cos(60°) = 12 mph
y-component = 24 mph * sin(60°) = 20.8 mph
Now we can add the x and y components of the ship's velocity to the velocity of the sailor. Since the sailor is walking north, their velocity has no x-component and only a y-component of 3 mph. Adding these vectors, we get:
resultant velocity = (12 mph + 0 mph) i + (20.8 mph + 3 mph) j
= 12 i + 23.8 j
where i and j are unit vectors in the x and y directions, respectively.
The angle between the positive x-axis and the resultant velocity can be found using trigonometry:
tan(θ) = (23.8 mph) / (12 mph)
θ = tan⁻¹(23.8/12)
θ ≈ 63.4°
So the true direction in which the sailor is walking is at an angle of approximately 63.4° with the positive x-axis.
Therefore, the answer is (e) None of these as none of the options matches with the value obtained.
The last part of the question seems incomplete and unrelated, so we cannot provide an answer without additional context.
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a 0.2-kg stone attached to a string is swung in a circle with a radius 0.6 m on a horizontal frictionless surface. what is the tension in the string if the stone makes 150 revolutions per minute? group of answer choices 0.03 n 0.9 n 1.96 n 0.2 n 30 n
It is given that;
Mass (m)= 0.2 kg
Radius (r)= 0.6 m
θ = 150 revolutions
= 300π rad
Time (t) = 60 seconds
we know that;
Angular speed ω = θ / t
ω = 300π / 60
ω = 5π rad
Linear speed of stone u = ω × r
u = 5π × 0.6
u = 3π m/s
The tension force(T) of the string on the stone is equal to centripetal force, which aid it move in circle;
So,T = mv² / r
T = [ 0.2 × (3π)² ] / 0.6
T = 17.7652879 / 0.6
T = 29.6 ≈ 30 N
Therefore, the tension force of the string on the stone is 30 N
Hence,(Option d) 30 N is the correct answer.
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it is raining, and there is practically no wind. while driving through the rain, you speed up. what happens to the angle of the rain relative to the horizontal that you observe from inside the car?
As you speed up while driving through the rain, the angle of the rain relative to the horizontal that you observe from inside the car will become more perpendicular. This is because the raindrops are being deflected by your car's movement, making them appear to be coming straight down.
Why is the angle of rain relative to Horizontal?When you're driving through the rain, the raindrops are initially hitting the windshield of your car at an angle. If you speed up, the velocity of your car increases, and this increases the deflection of the raindrops as they hit your windshield. The result is that the angle at which the raindrops hit the windshield appears to be more perpendicular, making it appear as though the rain is falling straight down. This is simply an optical illusion caused by the increased deflection of the raindrops due to your car's movement.
It's important to note that the actual angle of the rain relative to the horizontal hasn't changed. Rather, it's just the angle that you perceive from inside the car that has changed due to the increased deflection of the raindrops caused by your car's movement.
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A 12.0 kg box is being pulled along level ground at constant velocity by a horizontal force of 38.0 N. What is the coefficient of kinetic friction between the box and the floor?
The coefficient of kinetic friction between the box and the floor is 0.323.
By Newton's Law of Motion we understand that an object is at equilibrium if and only if it is at rest or it is moving at constant velocity. If a horizontal force is applied on the box and it is moving, then a force with equal magnitude and opposed to that force must exists, which corresponds to the kinetic friction. Let suppose that the box is moving on a horizontal ground.
The equation of equilibrium for the box is described below:
\(\Sigma F = P - \mu_{k}\cdot m\cdot g = 0\) (1)
Where:
\(P\) - External force, in newtons.\(\mu_{k}\) - Kinetic coefficient of friction, no unit.\(m\) - Mass, in kilograms.\(g\) - Gravitational constant, in meters per square second.An expression for the kinetic coefficient of friction is derived by clearing the variable in (1):
\(\mu_{k} = \frac{P}{m\cdot g}\) (2)
If we know that \(P = 38\,N\), \(m = 12\,kg\) and \(g = 9.807\,\frac{m}{s^{2}}\), then the kinetic coefficient of friction is:
\(\mu_{k} = \frac{38\,N}{(12\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)}\)
\(\mu_{k} = 0.323\)
The coefficient of kinetic friction between the box and the floor is 0.323.
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gardeners would need to use 960 newtons of force to lift a potted tree 45 centimeters onto a deck. instead, they set up a lever. if they press the lever down 2 meters, how much force do they use to lift the tree?
432 N force will be used to lift the tree. Therefore, the correct option is B.
The lever principle, which states that the force needed on one side of the lever is inversely related to the distance from the fulcrum, can be used to calculate the amount of force needed to lift the tree.
Given,
F₂ = 960N
d₂ = 2m
d₁ = 45 cm
The force required to lift the tree using the lever is F₁, and the force exerted on the lever arm is F₂.
According to the principle of the lever:
F₁ × d₁ = F₂ × d₂
F₁ = (F₂ × d₂) / d₁
F₁ = (960 N × 200 cm) / 45 cm
F₁ = 4266.67 N = 432N
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Your question is incomplete, most probably the full question is this:
Gardeners would need to use 960 Newtons of force to lift a potted tree 45 centimeters onto a deck. Instead, they set up a lever.
press the lever down 2 meters, how much force do they use to lift the tree? (1 point)
O 21,600 N
O 432 N
O 1,920 N
O 216 N
A group of two or more atoms, strongly joined together are called what?
Answer:
compound
Explanation:
Question 45 points)
Which is an appropriate way to avoid heat related illness when exercising?
Answer:
drinking enough fluids, wearing proper clothing and timing your workout to avoid extreme heat
For questions 1 and 2, consider the continuous time signal x(t) = 2 cos(2nt +T/4) 1. If x(t) is sampled uniformly at T seconds/sample, which value of Ts will cause aliasing and not allow x(t) to be reconstructed from its samples? (A) Ts = 0.1 (B) Ts = 0.2 (C) Ts = 0.3 (D) Ts = 0.4 (E) Ts = 0.6 2.
the correct answer is (A) Ts = 0.1. If the sampling period is 0.1 seconds or less, aliasing will occur and x(t) will not be reconstructable from its samples.
The sampling period Ts is the inverse of the sampling rate, so we have:
Ts = 1 / (4n)
Substituting the given value of the signal frequency, we get:
Ts = 1 / (4 × 2π × n)
Ts = 1 / (8πn)
We must now identify the value of Ts that will result in aliasing and prevent the reconstruction of x(t) from its samples. Aliasing happens when the signal's high frequency components "fold back" into the range of its lower frequency components due to an inadequate sampling rate, making it impossible to distinguish between the two. When the sampling rate is under twice the signal's highest frequency component, this occurs.
The highest frequency component of x(t) is 2n, so the critical sampling rate below which aliasing occurs is:
fs = 2 × 2n = 4n
The critical sampling period is the inverse of the critical sampling rate:
Tscrit = 1 / (4n)
So, if the sampling period Ts is greater than Tscrit, aliasing will occur and x(t) will not be reconstructable from its samples.
Substituting the expression for Tscrit, we get:
Ts > Tscrit
Ts > 1 / (4n)
Ts > Ts = 1 / (8πn)
Ts > 1.273 / n
Therefore, the value of Ts that will cause aliasing and not allow x(t) to be reconstructed from its samples is:
Ts < 1.273 / n
Substituting the given value of the signal frequency, we get:
Ts < 0.1 seconds
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