The sign needs to be placed 292.07 feet in advance of the curve in order to provide cars enough room to safely slow down.
Prior to putting up a sign board to slow down traffic, we first calculate the distance.
d is the safe stopping distance, Si is the initial speed (60 mph), t is the time reaction (2.5 seconds), Sf is the end speed (40 mph), and G is the grade (0).
Therefore, we replace d = (1.47 60 2.5) + [(602 - 402) / 30(0.348 0) = 220.5 + (2000/10.44) = 220.5 + 191.57 = 412.07 ft Now that we know that a warning sign is clearly visible at a distance of 120 ft, the ideal safe distance will be d = minimum distance - sign visible distance d = 412.07 ft.
d = 412.07 - 120
d = 292.07 ft
In order to ensure that vehicles have enough room to safely slow down, the sign must be placed 292.07 feet ahead of the bend.
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can someone help me plz
Answer:
Positive I believe... because if you drop it it is negative so picking up a book means positive. thanks for the points though!
Explanation:
Can I have brainliest please? <3
If a person is picking up a book with the force of 50 N and the gravity is pushing down with 15 N, what is the net force?
Answer:
\(the \: net \: force = \: 50 - 15 = 35.\)
Answer:
Net force is going to be GREATER FORCE - LESS FORCE if they are working in opposite direction
so,
50N - 15N = 35N
What is the acceleration in the scenario below.
An object slows from 20 m/s to 12 m/s in 4 seconds. What is the
acceleration?
-2 m/s^2
2 m/s^2
5 m/s^2
-5 m/s^2
Answer:
\(\huge\boxed{\sf a = -2 \ m/s^2}\)
Explanation:
Given data:Initial velocity = \(V_i\) = 20 m/s
Final velocity = \(V_f\) = 12 m/s
Time = t = 4 s
Required:Acceleration = a = ?
Formula:\(\displaystyle a = \frac{V_f-V_i}{t}\)
Solution:Put the given data in the above formula.
\(\displaystyle a =\frac{12 - 20}{4} \\\\a =\frac{-8}{4} \\\\a = -2 \ m/s^2\\\\\rule[225]{225}{2}\)
name 2 physical properties that affect the storage capacity of a capacitor
Answer:
The amount of charge Q a capacitor can store depends on two major factors—the voltage applied and the capacitor's physical characteristics, such as its size. The capacitance C is the amount of charge stored per volt, or C=QV C = Q V .
Explanation:
Consider an extension of our Cobb-Douglas technology Y=AK
α
L
β
M
γ
where, in addition to the known variables, M is the amount of raw materials consumed in production. All parameters A,α,β,γ are strictly positive. What is the condition on the parameters that makes the technology constant returns to scale in K,L and M ? Increasing returns to scale? Hint: Observe that by setting γ=0, you will obtain the production function we used in class. Is your answer when you set γ=0 consistent with what we learned in class? Question 3.2 Consider the so-called constant elasticity of substitution (CES) technology Y=[aK
α
+bL
α
]
β
where a,b>0 and α and β are nonzero. What is the restriction on the parameters that makes the production function be constant returns to scale in K and L ?
The production function will have constant returns to scale if 2αβ = 1
Constant returns to scale (CRS) implies that if all inputs increase by a factor of λ, the output increases by λ as well. The requirement for constant returns to scale (CRS) in a Cobb-Douglas production function with a new input factor is given by the sum of exponents on all variables equal to 1.
In this case, Y = AKαLβMγ.
Thus, we have that α + β + γ = 1 for constant returns to scale in K, L, and M, because the sum of the exponents is 1.
If the sum of the exponents is less than 1, it indicates decreasing returns to scale. If the sum of the exponents is greater than 1, it indicates increasing returns to scale. If we take γ = 0, we obtain the production function used in class, which is Y = AKαLβ, thus α + β = 1 for constant returns to scale in K and L.
When γ = 0, the answer we get is consistent with what we learned in class. Now, we consider the constant elasticity of substitution (CES) technology, where Y = [aKα + bLα]β. The production function will have constant returns to scale (CRS) in K and L if the sum of the exponents of K and L is equal to 1.
Therefore, αβ + αβ = 1, implying 2αβ = 1.
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What is the volume of this bubble when it reaches the surface?
Answer:
Volume will be 15 mL. Solution:- If we look at the given information then it is Boyle's law as the temperature is constant and the volume changes inversely as the pressure changes. So, the volume of the air bubble at the surface will be 15 mL.
Which will not be affected by the induced e.m.f when a magnet is in motion relative to a coil? A. Motion of the magnet B. Resistance of the coil C. Number of turns of the coil D. The strength of the magnet pole
The strength of the magnet pole (option D) will not be affected by the induced electromotive force (e.m.f) when a magnet is in motion relative to a coil.
When a magnet is in motion relative to a coil, it induces an electromotive force (e.m.f) in the coil due to the changing magnetic field. This induced e.m.f. can cause various effects, but it does not directly affect the strength of the magnet pole (option D). Option A, the motion of the magnet, is directly related to the induction of the e.m.f. When the magnet moves, the magnetic field through the coil changes, inducing the e.m.f.
Option B, the resistance of the coil, affects the amount of current flowing through the coil when the e.m.f is induced. Higher resistance can limit the current flow. Option C, the number of turns of the coil, affects the magnitude of the induced e.m.f. More turns increase the induced voltage.
However, the strength of the magnet pole (option D) itself is independent of the induced e.m.f. It is determined by the properties of the magnet, such as its magnetization and magnetic material. The induced e.m.f does not alter the intrinsic strength of the magnet pole.
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why is it more difficult to steer a bike when your hands are close together on the handlebars than when they are far apart?
Answer:
When the hands are close together on the handlebars of a bike, the steering is more sensitive and requires more effort to make small adjustments. This is because the steering axis of the bike, which is an imaginary line passing through the center of the front wheel and the center of the steering tube, is shorter. This means that even small movements of the handlebars translate to larger changes in the direction of the front wheel.
On the other hand, when the hands are far apart on the handlebars, the steering is less sensitive and requires less effort to make adjustments. This is because the steering axis of the bike is longer, meaning that larger movements of the handlebars are required to achieve the same change in direction of the front wheel.
Overall, the sensitivity of the steering depends on the length of the steering axis, which in turn depends on the distance between the hands on the handlebars. Therefore, it is more difficult to steer a bike when the hands are close together on the handlebars than when they are far apart.
Explanation:
what must be true if the cart continues at the same speed in the same direction?
The acceleration and net force must both be zero if an object is travelling continuously to the right at a constant speed.
What is the name of Newton's first law?Newton's first law states that any object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the application of an external force. The tendency to resist changes in a motion situation is known as inertia.
What is travelling in the same direction and at the same speed?The only time two objects have the same velocity is when they are going in the same direction and at the same speed. Objects moving at varying rates, in varying directions, or in both directions exhibit variable velocities.
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Which of the following would increase the amount of electricity generated by a wind turbine
Higher wind speeds would increase the amount of electricity generated by a wind turbine.
What is a power plant?A power plant is an industrial structure that generates electricity. The majority of power plants are linked to the electrical grid.
Stronger winds produce greater power because they enable the blades to revolve more quickly. Greater mechanical and electrical power from the generator result from faster spinning.
Hence, higher wind speeds would increase the amount of electricity generated by a wind turbine.
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if a car travels 270 meters in 30 seconds then what is its average speed
Answer:
the answer is 32,400
Explanation:
I looked it up for you
The average speed denotes the average rate of speed over the extent of a trip. The average speed of a car which travels 270 meters in 30 seconds is 9m/s.
What is average speed?The average speed can be defined as the ratio of the total distance travelled by an object to the total time taken. It is a scalar quantity. It is represented by the magnitude and does not have direction. Its SI unit is m/s.
The average speed of an object help us to calculate the rate of travel time and the distance. The average speed of an object when it covers the same distance at two different speed, X and Y is:
Average speed = 2XY/ X+Y
The equation used here to calculate the average speed is:
Average speed = Total distance / Total time
Average speed = 270 m / 30 s = 9 m/s
Thus the average speed is 9 m/s.
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How much work is done on a cat that is pushed 50 meters with 3 N of force?
Answer:
150
Explanation:
work done = constant force x distance moved in the direction of force
W = F x S
(UNITS: J = N x m)
50 x 3 = 150
When coal is burned completely in a power plant, the solid carbon in the coal combines with oxygen gas from the atmosphere to form carbon dioxide. What type of change is this?
a. Nuclear
b. Physical
c. Chemical
d. Cellular
e. pH change
The type of change that occurs when coal is burned completely in a power plant, resulting in the formation of carbon dioxide, is a chemical change.
When coal is burned completely in a power plant, a chemical reaction takes place between the solid carbon in the coal and the oxygen gas from the atmosphere. This reaction is known as combustion. During combustion, the carbon in the coal combines with oxygen to form carbon dioxide (CO2). This process involves the breaking and rearranging of chemical bonds between the carbon atoms and the oxygen atoms.
A chemical change, also known as a chemical reaction, involves the transformation of one or more substances into different substances with different chemical properties. In this case, the solid carbon in the coal is being transformed into carbon dioxide gas. The formation of carbon dioxide is a chemical change because new chemical bonds are formed and the chemical composition of the coal is altered.
Therefore, the correct answer is c. Chemical.
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From an interdependency perspective, which of the following factors does power depend on?
A) The control of valuable resources
B) The control of access to valuable resources
C) A partner's high desire for a particular resource
D) All of the answers are correct.
D) All of the answers are correct.
Power, from an interdependency perspective, depends on all of the factors mentioned in the given options.
A) The control of valuable resources: Having control over valuable resources gives individuals or entities power because they can leverage these resources to influence others and shape outcomes.
B) The control of access to valuable resources: Controlling access to valuable resources provides power because it allows individuals or entities to regulate who can obtain those resources, creating dependency and influencing the behavior of others.
C) A partner's high desire for a particular resource: When a partner or another party has a strong desire for a specific resource, it can grant power to those who possess or control that resource. The high demand for the resource enhances the power of the resource holder in negotiations or relationships.
Therefore, all of these factors contribute to power dynamics by providing individuals or entities with advantages and leverage in various social, economic, and interpersonal contexts.
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The vertical distance covered by a body falling freely under gravity is directly proportional to the square of the time for which it falls. If a body covers 300m in the first 10 seconds of its free fall, find the distance covered by the body in the next 10 seconds.
Answer:
S = 1/2 a t^2 distance covered by falling body from speed = 0
300 = 1/2 a 10^2
a = 600 m / 100 s^2 = 6 m/s^2
v = a t = 6 m/s^2 s * 10 s = 60 m/s speed after 10 sec
S2 = v t + 1/2 a t^2
S2 = 60 m/s * 10 sec + 3 m/s^2 * 100 s^2
S2 = 600 m + 300 m = 900 m
a 1.0 m long wire is placed perpendicular to a magnetic field of strength 0.20 t. if the wire experiences a force of 0.60 n, what is the magnitude of the current moving through the wire?
I = 3.0A
What is current?
A stream of charged particles, such as electrons or ions, traveling through an electrical conductor or a vacuum is known as an electric current. The net rate of electric charge flowing through a surface or into a control volume is how it is calculated.
For a current-carrying wire running perpendicular to a magnetic field, the magnetic force acting on the wire is given by:
F = ILB
F = magnetic force, I = current, L = wire length, B = magnetic field strength
Given values:
F = 0.60N, L = 1.0m, B = 0.20T
Plug in and solve for I:
0.60 = I(1.0)(0.20)
I = 3.0A
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In some situations, matter demonstrates wave behavior rather than particle
behavior. This is best illustrated by which phenomenon?
A. Photoelectric effect
B. Emission spectra of atoms
О
C. Blackbody radiation
D. Interference patterns of electrons
Answer:
D. Interference patterns of electrons
Explanation:
Which is an example of nuclear energy being converted into heat and light energy?.
The sun is an example of nuclear energy being converted into heat and light energy.
What is nuclear energy?Nuclear energy is the term for the energy present in an atom's nucleus, or core. Electricity can be produced using nuclear energy, but it first needs to be released from the atom.
The energy that exists in the center of an atom is known as nuclear energy. The bonds that hold the nucleus together in the core contain a lot of energy.
Nuclear fusion occurs in the sun when two or more atoms join together to form a bigger atom, releasing a tremendous amount of energy in the process.
²₁H+³₁H →⁴₂He+¹₀n+energy
Chemical energy that is locked away in chemical bonds is transformed into heat and light energy by rocket engines and coal-burning power plants. In volcanoes, mechanical energy is transformed into sound energy and the heat energy of the lava is transformed into light energy.
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A Bernoulli random variable has a distribution with 0 = 0.73. Find the mean and variance for the distribution. Mean: 10. A random variable X has a binomial distribution with 0 = 0.34 and a sample size of n. Find the mean and variance for the random variable Y which is defined below. Y =nX Variance: Mean: Variance:
The mean and variance for a Bernoulli random variable with p = 0.73 are 0.73 and 0.1971, respectively.
The values and calculate the mean and variance for the given distributions:
For the Bernoulli distribution:
The parameter p (probability of success) is given as 0.73.
The mean (μ) of the distribution is equal to p.
Mean (μ) = p = 0.73
To find the variance (σ²), we can use the formula: σ² = p(1 - p).
Variance (σ²) = 0.73(1 - 0.73) = 0.73 × 0.27 = 0.1971
For the binomial distribution with parameter p = 0.34 and sample size n:
The mean (μ) of the binomial distribution is given by μ = np.
Mean (μ) of X = np = n × 0.34
The variance (σ²) of the binomial distribution is given by σ² = np(1 - p).
Variance (σ²) of X = n × 0.34 × (1 - 0.34)
Now, considering the random variable Y defined as Y = nX:
Mean (μY) = n × Mean of X = n × (n × 0.34)
Variance (σ²Y) = n × Variance of X = n × (n × 0.34 × (1 - 0.34))
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classify each polynimal based on the number of terms it contains
Polynomials can be classified based on the number of terms is contains which may be monomial, binomial, or trinomial.
What are polynomials?Polynomials are algebraic expressions that contains a constant that is multiplied by one or more variables.
Monomials is a type of polynomial that has only one term. From the question, the monomial is 10xyz^3.Binomial is a type of polynomial that has only two terms. From the question, the binomial are 8x^2+0.25 and -x^2y^2+2y.Trinomial is a type of polynomial that has only three temrs. From the question, the trinomial are -2x^2-x+3.5 and x^3y^4+2x^2y-3z.Learn more about polynomials here:
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The complete question:
Classify each polynomials based on the number of terms it contains.
-2x^2-x+3.5
10xyz^3
-x^2y^2+2y
8x^2+0.25
x^3y^4+2x^2y-3z
The resistance, r, to electricity of a cylindrical-shaped wire is given by the equation r = startfraction p l over pi d squared endfraction, where p represents the resistivity of the wire’s material, l represents the length of the wire, and d represents the diameter of the wire. what happens to the resistance of the wire as the diameter approaches 0?
As the diameter of the wire approaches to zero, the resisitance approaches infinity.
What is resistance?Electrical resistance is the physical capacity of any body to oppose the flow of electric current even when there is an applied potential difference, capacity calculated by Ohm's First Law, and, according to the International System of Units (IS), is measured in ohms.
With that being said, and knonwing that:
R = Resistance; p = Resistivity; L = Length; d = Diameter
It is possible to calculate the resistance of the wire by:
\(R = p\frac{L}{A}\)
Where A is calculated by:
\(A = \frac{\pi d^{2} }{4}\)
Changing in the first formula:
\(R = p\frac{L}{\pi d^{2} } \\\\R = p\frac{4L}{\pi d^{2} }\)
Knowing that when the diameter tends to zero resistance tends to infinity, it is possible to say that resistance of the wire will tend to infinity when the diameter approaches zero.
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Answer:
The resistance approaches infinity.
Explanation:
100% Correct
Question 3
A door is 24 inches wide and can swing open 140°.
140°
What reference angle should be used to find the distance from the wall to the edge of the door?
Select Choice ✓
What is the distance, in inches, from the wall to the edge of the door? Round to the nearest tenth of an inch.
The distance is Select Choice inches.
the distance, in inches, from the wall to the edge of the door is 8.2 inches.
We must utilise the reference angle that makes a right triangle with the wall and the edge of the door in order to determine the distance between them. The reference angle is 90° - (140°/2) = 20° since the door swings open by 140°.
To get the distance from the wall to the edge of the door, let's utilise trigonometry. Let x represent the distance from the door's edge to the wall. Next, we have:
sin(20°) = x/24
When we multiply both sides by 24, we obtain:
x = 24*sin(20°)
Calculating the answer, we discover:
x ≈ 8.2
Therefore, 8.2 inches or so separate the wall from the door's edge. The distance, rounded to the nearest tenth of an inch, is 8.2 inches.
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La resistencia de un termómetro de platino es de 6Ω a30°C. Hallar su valor correspondiente a 100°C,sabiendo que el coeficiente de temperatura de resistividad del platino vale 0,00392°C^(-1).
Respuesta:
7,6 Ω
Explicación:
Paso 1: Información dada
Resistencia a 30 °C (R₀): 6 ΩCoeficiente de temperatura (α): 0,00392 °C⁻¹Paso 2: Hallar la resistencia (R) a 100 °C
Podemos ver la relación entre la resistencia de un material y la temperatura usando la siguiente ecuación.
R = R₀ (1 + α × ΔT)
R = 6 Ω (1 + 0,00392 °C⁻¹ × (100 °C - 30 °C)) = 7,6 Ω
Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 70-kilometer mark while riding at a velocity of 37 kilometers per hour.
(A) Find the cyclist's average velocity during the first two hours of the race
The average velocity of the cyclist during the first two hours of the race is 37 km/h.
A cyclist passes the 70-kilometer mark while riding at a velocity of 37 kilometers per hour.The total distance covered in the race = 100 km.
Let's find the time taken by the cyclist to reach the 70 km mark. To calculate the time taken to cover the 70 km distance, use the formula:
v = d/t
Where:
v = velocity (km/h)d = distance (km)t = time (h)
Substitute the given values in the above formula:
37 = 70/tt = 70/37h
On substituting this value in the formula for total time, the time taken by the cyclist to cover the remaining 30 km can be found as:
total time = 2 + 70/37 + 30/37 total time = 2.81 h
Let's calculate the cyclist's average velocity during the first two hours of the race by using the formula for average velocity:
Average velocity = Total distance / Total time The distance covered during the first two hours = 2 × 37 = 74 km Average velocity = (74 km) / (2 h) = 37 km/h
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Draw the net force arrow on the picture.
Where does the arrow go?? up, down, side, angle, etc?
Answer:
Vector points up in NE direction at an angle of 26.57° from the horizontal. The size of the vector is 22.36N
Explanation:
This is a problem relating to two vectors and the addition of the two vectors to get the resultant force
The two vectors are 10N pointing North (+ve y-axis) and 20N pointing East (+ve x-axis
These are indicated by their (x, y) values
So we have (0, 10) pointing north and (20,0) pointing east
Use the head-to-tail method to graphically add the two vectors. The tail of the 10N vector arrow is placed at the head of the 20N vector arrow
Then draw an arrow from the tail of the first vector to the head of the second vector to get the resultant vector. The resultant vector is (20, 10)
See the graph
The magnitude of the resultant vector is given by the Pythagorean theorem
= \(\sqrt{(20^2 + 10^2} \\\\= \sqrt{400 + 100} \\\\= \sqrt{500}\\\\=22.36068N\\\\The angle of the vector , $\theta$, relative to the x-axis is computed by the formula $\tan\theta = \dfrac{A}{B}$\\\\So, $\theta$ = tan^{-1}\left(\dfrac{10}{20}\right) \\= tan^{-1}\left(\dfrac{1}{2}\right) \\\\= 26.57^\circ$\\\\\\\)
A sound wave traveling at 340 m/s is emitted by the foghorn of a tugboat. An echo is heard 3.60 s later. How far away is the reflecting object
The reflecting object is approximately 613.2 meters away from the tugboat when a sound wave traveling at 340 m/s is emitted by the foghorn of a tugboat. An echo is heard 3.60 s later.
To arrive at this answer, we can use the formula:
distance = \(\frac{(speed of sound x time)}{2}\)
(since the sound wave travels to the object and back).
Plugging in the given values, we get:
\(distance = \frac{(340 m/s x 3.60 s)}{2}\)
= 613.2 m.
The speed of sound in air is 340 m/s. When the foghorn emits a sound wave, it travels through the air until it reaches a reflecting object, which then reflects the sound wave back towards the tugboat.
The time it takes for the sound wave to travel to the object and back is 3.60 s.
Using the formula mentioned earlier, we can calculate the distance of the reflecting object from the tugboat. Dividing the speed of sound by 2 is necessary since the sound wave travels to and from the object.
The reflecting object is 613.2 meters away from the tugboat based on the given information and calculations using the formula for distance.
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suppose you have two socks sticking together in the clothes dryer from static electrity. what happens if they are spun gently?
As the two socks are being spun too slowly, they are probably not going to stick together since the static charge would be too small to cause them to adhere.
An imbalance in the charged particles of the thing is what causes static electricity, according to this definition. Until they are released or discharged, these charges remain on the object's surface. Static electricity is produced at the surface of the object as a result of these charges.
When a dryer's electricity supply is turned on, clothing spin faster and become stuck to one another, creating friction force between them. When the supply gets off, the spinner stopped its movement and the result is the static electricity that causes the socks to stuck together.
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Imagine a string of holiday lights, with many bulbs connected to each other by wires. One bulb burns out, causing the bulbs next on the string not to work either. What type of circuit must the holiday lights be using?
A. parallel.
B. resistor.
C. series.
D. fuse.
C. Series
Consider resistors in a circuit - if all the resistors in the circuit are in series and one of the resistors fails then no current can flow thru the circuit,
If the resistors are in parallel then then each resistor experiences the same voltage drop regardless of whether or not any resistor in particular is carrying current.
If the resistors are connected in series, each one will receive the same pd drop, if withstanding if it is carrying current or not.
Option C is correct Series
What is a circuit?A circuit is simply defined as a channel that must always be followed in order for electricity to flow and perform something good.
In conclusion, if all of the resistors are connected in series, no current can pass through the circuit.
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Which three elements have the most similar chemical properties?
A. O, N, Si
B. K, Rb, Cs
C. Ar, Kr, Br
D. B, C, N
Help please!
What happens to holes in the ground over time due to weathering and erosion?
Answer:
They are buried in the ground due to weathering and erosion
Explanation:
Answer:
They are buried in the ground due to weathering and erosion.