The time for the police car to catch up with the speeding motorist is 7.6 seconds.
What time will the police car catch up with the speeding motorist?The police car and the motorist will cover equal distances.
Let the distance covered be d.
Distance covered by the motorist = speed * time
time = t, speed = 30 m/s
d = 30t
Distance covered by the police car = acceleration * (time)
time = t - 2, acceleration = 5.0 m/s²
d = 5(t-2)²
d = 5(t² - 4t + 4)
d = 5t² - 20t + 20
Equating the two equations for distance
5t² - 20t + 20 = 30t
5t² - 50t + 20 = 0
Solving for t using the quadratic formula:
t = 9.6 second or 0.4 seconds
Since t > 2, t = 9.6 seconds
t - 2 = 9.6 - 2
t - 2 = 7.6 seconds
Therefore, the time for the police car to catch up with the speeding motorist is 7.6 seconds.
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A weight - lifter lifts a bell weighing 2 000 N and holds it in the air for 5 seconds. Has he done any work? Explain your answer.
Answer:
No, he hasn't done any work.
Explanation:
In this scenario, the weightlifter hasn't done any work because even though he lifted the bell for a specific period of time, he didn't cover any distance.
Mathematically, work done is given by the formula;
Work done = force * distance
\( W = F * d\)
Where,
W is the work done
F represents the force acting on a body.
d represents the distance covered by the body.
Power can be defined as the energy required to do work per unit time.
Mathematically, it is given by the formula;
\( Power = \frac {Energy}{time} \)
A 5. 0-kg box is on a horizontal frictionless surface. A force F acts on it at an angle. What is the x-component of the acceleration of the box?
The x-component of the acceleration of the box is given by the product of the acceleration a and the cosine of the angle theta between the force and the x-axis.
The x-component of the acceleration of the box can be found using the following formula:
a_x = F_x / m
Since the force is acting at an angle, we need to first find the x-component of the force, which can be calculated using:
F_x = F × cos(theta)
Assuming that the force F is the net force acting on the box and there are no other forces acting on it, we can use Newton's second law to find the magnitude of the force:
F = ma
where F is the net force, m is the mass of the box, and a is the acceleration of the box.
Therefore, the x-component of the acceleration of the box can be calculated as:
a_x = F_x / m
= (F × cos(theta)) / m
= [(ma) × cos(theta)] / m
= a × cos(theta)
where we have substituted the expression for the magnitude of the force from Newton's second law.
So, the x-component of the acceleration of the box is given by the product of the acceleration a and the cosine of the angle theta between the force and the x-axis.
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a stone attached to 1m long string is moving with the speed of 5ms in a circle find the centripetal acceleration of the stone
Answer:
The centripetal acceleration of the stone is 5 m/s²
Explanation:
The length of the string to which the stone is attached, r = 1 m
The speed with which the string is rotated, v = 5 m/s
The centripetal acceleration, \(a_c\), is given as follows;
\(a_c = \dfrac{v^2}{r}\)
Therefore, the centripetal acceleration of the stone found as follows;
\(a_c = \dfrac{(5 \ m/s)^2}{1 \ m} = 5 \ m/s^2\)
The centripetal acceleration of the stone, \(a_c\) = 5 m/s².
If a motorbike of mass 150 kg moving with the speed of 36 km/hr produces
acceleration of 5 m/s3
in 5 sec, What will be the power developed on it?
Answer:
P = 7500 [W]
Explanation:
First We must use Newton's second law to find the force. Newton's Second Law tells us that the sum of forces on a body is equal to the product of mass by acceleration.
∑F = m*a
where:
m = mass = 150 [kg]
a = acceleration = 5 [m/s²]
\(F = 150*5\\F = 750 [N]\)
We know that the work is determined by multiplying the force by the distance, in this way the units of the work are [N*m] which corresponds to 1 Joule [J].
And the power is determined by dividing the work by the time, in this way we have that [J/s] corresponds to 1 [W].
We must convert the speed from kilometers per hour to meters per second.
\(36[km/hr]*1000[\frac{m}{1km}]*[\frac{1hr}{3600s} ]=10 [m/s]\)
\(P=F*v\)
where:
P = power [W]
F = force = 750 [N]
v = 10 [m/s]
\(P = 750*10\\P = 7500 [W]\)
according to the special theory of relativity, while traveling at very high speed your own pulse rate that you measure group of answer choices remains unchanged. decreases. increases.
According to the special theory of relativity, while traveling at very high speed your own pulse rate that you measure will increases.
What is time dilation of special theory of relativity?The time interval between two events is not constant from one observer to the next, but instead depends on the relative speeds of the observers' reference frames (e.g. the twin paradox is a situation in which one twin departs in a spacecraft at nearly light speed and returns to find that the other twin has aged significantly more. The paradox is that at constant speed, we are unable to tell which twin is travelling and which twin is not.)
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If ball A rolls off a 50 cm high table at the same instant that ball B rolls off a 75 cm high table, which will hit the ground first?
ball a
Explanation,
Hope it helps
Match each term with its best description.
Metamorphic
rock
Foliation
Burial
metamorphism
Parent rock
?
?
?
?
The original rock before it
metamorphoses.
Parallel alignment of platy
grains.
A rock changed by heat,
pressure, and fluids.
A process that changes
rock because of pressure
with equal intensity from
Metamorphic rock: A rock changed by heat, pressure, and fluids.
Foliation: Parallel alignment of platy grains.
Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides.
Parent rock: The original rock before it metamorphoses.
Metamorphic rock: A rock changed by heat, pressure, and fluids. The word metamorphic means change in form. Metamorphic rocks are made by rocks that have been altered in some way. This can happen through heat, pressure, and fluids. Examples of metamorphic rocks include slate, gneiss, and marble.
Foliation: Parallel alignment of platy grains. Foliation is a term used to describe the parallel alignment of platy grains in a metamorphic rock. This is caused by pressure during metamorphism. The platy grains can be minerals like mica or clay.
Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. This can happen when rocks are buried deep within the earth's crust.
Parent rock: The original rock before it metamorphoses. The parent rock is the original rock before it metamorphoses. This rock is changed into a metamorphic rock through the process of metamorphism.
To summarize, metamorphic rock is a rock that has been changed by heat, pressure, and fluids. Foliation refers to the parallel alignment of platy grains. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. The parent rock is the original rock before it metamorphoses.
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How much speed of light in m/s?
Answer:
below
Explanation:
Most folks use 3 x 10^8 m/s in calculations , but more accurately it is
299 792 458 m / s
amples of coarse aggregate from a stockpile are brought to the laboratory for the determination of specific gravities. the following weights are found:
The aggregate bulk dry specific gravity, the aggregate apparent specific gravity, the moisture content of stockpile aggregate and absorption are respectively,
A. 2.7
B. 2.72
C. 1.6%
D. 0.21%
A) The formula for the aggregate bulk dry specific gravity is:
Aggregate bulk dry specific gravity = Mass of oven dried aggregate /( Mass of saturated surface dry aggregates - Submerged mass of aggregate)
Placing the values from the data we have,
Aggregate bulk dry specific gravity = 5216/ (5227 - 3295) = 2.7
B) Formula for aggregate apparent specific gravity is
Mass of oven dried aggregate/ ( Mass of oven dried aggregate - Submerged mass of aggregate) = 5216/ (5216 - 3295) = 2.7
C) The moisture content of the stockpile aggregate is
m = (weight of moist aggregate - mass of oven dried aggregate) / (mass of oven dried aggregate* 100%)
m = (5298 - 5216)/ (5216* 100%) = 1.6 %
D) Absorption is calculated as A = (5227 - 5216) / (5216) * 100% = 0.21 %
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what is uniform velocity
Answer:
this is the velocity
Explanation:
Uniform Velocity-A body is said to have uniform velocity if it covers equal distance in equal intervals of time in a particular direction, however, the time intervals may be small.
Khalid has been studying the gravitational attraction between three pairs of objects. The table shows the distance between each pair and the gravitational attraction between them relative to the other pairs. Which two objects have the greatest
gravitational force, Explain Your Answer?
Answer:
Explanation:
Probably the most famous force of all is gravity. We humans on earth think of gravity as an apple hitting Isaac Newton on the head. Gravity means that stuff falls down. But this is only our experience of gravity. In truth, just as the earth pulls the apple towards it due to a gravitational force, the apple pulls the earth as well. The thing is, the earth is just so massive that it overwhelms all the gravity interactions of every other object on the planet. Every object with mass exerts a gravitational force on every other object. And there is a formula for calculating the strengths of these forces, as depicted in the diagram below:
Diagram of gravitational forces between two spheres
Diagram of gravitational forces between two spheres
Let’s examine this formula a bit more closely.
F refers to the gravitational force, the vector we ultimately want to compute and pass into our applyForce() function.
G is the universal gravitational constant, which in our world equals 6.67428 x 10^-11 meters cubed per kilogram per second squared. This is a pretty important number if your name is Isaac Newton or Albert Einstein. It’s not an important number if you are a ProcessingJS programmer. Again, it’s a constant that we can use to make the forces in our world weaker or stronger. Just making it equal to one and ignoring it isn’t such a terrible choice either.
m_1m
1
m, start subscript, 1, end subscript and m_2m
2
m, start subscript, 2, end subscript are the masses of objects 1 and 2. As we saw with Newton’s second law (\vec{F} = M\vec{A}
F
=M
A
F, with, vector, on top, equals, M, A, with, vector, on top), mass is also something we could choose to ignore. After all, shapes drawn on the screen don’t actually have a physical mass. However, if we keep these values, we can create more interesting simulations in which “bigger” objects exert a stronger gravitational force than smaller ones.
\hat{r}
r
^
r, with, hat, on top refers to the unit vector pointing from object 1 to object 2. As we’ll see in a moment, we can compute this direction vector by subtracting the location of one object from the other.
r^2r
2
r, squared refers to the distance between the two objects squared. Let’s take a moment to think about this a bit more. With everything on the top of the formula—G, m_1m
1
m, start subscript, 1, end subscript, m_2m
2
m, start subscript, 2, end subscript—the bigger its value, the stronger the force. Big mass, big force. Big G, big force. Now, when we divide by something, we have the opposite. The strength of the force is inversely proportional to the distance squared. The farther away an object is, the weaker the force; the closer, the stronger.
Hopefully by now the formula makes some sense to us. We’ve looked at a diagram and dissected the individual components of the formula. Now it’s time to figure out how we translate the math into ProcessingJS code. Let’s make the following assumptions.
We have two objects, and:
Each object has a PVector location: location1 and location2.
Each object has a numeric mass: mass1 and mass2.
There is a numeric variable G for the universal gravitational constant.
Given these assumptions, we want to compute a PVector force, the force of gravity. We’ll do it in two parts. First, we’ll compute the direction of the force \hat{r}
r
^
r, with, hat, on top in the formula above. Second, we’ll calculate the strength of the force according to the masses and distance.
Remember when we figured out how to have an object accelerate towards the mouse? We're going to use the same logic.
what is the potential of an ordinary aa or aaa battery? (if you’re not sure, find one and look at the label.)
The potential, or voltage, of an ordinary AA or AAA battery is typically 1.5 volts.
This is the case for many common types of alkaline batteries that are widely available in stores. However, it's important to note that the voltage of a battery can vary depending on its chemistry and design, so it's always a good idea to check the label or specifications of a specific battery to be sure.
An alkaline battery is a kind of primary battery with an electrolyte that has a pH value greater than 7. Typically, the energy in these batteries is derived from the reaction of zinc metal as well as manganese dioxide, nickel as well as cadmium, or nickel as well as hydrogen.
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Identify the sentence
When you can see both sides of an issue equality we’ll, you find it difficult to take a stand , but some people insist that you take one side or another .
Answer:
compound-complex sentence. two independent clauses, one dependent clause
An astronaut is on a spacewalk to make repairs to the solar panel array on the international space station. The astronaut somehow accidentally bumps into the soyuz space( the one the crew rode up to the iss) and the capsule breaks free of its dock. Which statement describes the motion of the capsules after it breaks free of the iss but before the panicked astronaut are able to retrieve it?
The motion of the Soyuz capsule after it breaks free of the ISS but before the panicked astronaut retrieves it can be described as an initial state of zero velocity and a free-fall motion caused by gravity.
When the Soyuz capsule breaks free of the ISS, it has an initial velocity of zero relative to the ISS. Since there is no air resistance in space, the only force acting on the capsule is gravity, which causes it to fall towards the Earth. The motion of the capsule can be described as a free-fall motion until some other force, such as atmospheric drag, slows it down or stops it.
During a recent upset victory against New Greer Academy, South's #2 singles player, Dimitri, stepped in some mud and left the following tracks along the baseline. The point-to-point distances are:
A to B: 18.1 feet
B to C: 13.3 feet
What is Dimitri's total distance?
Distance
feet
Attempts: 0
What is the magnitude of Dimitri's displacement?
Displacement
feet
Attempts: 0
Distance can be defined as the amount of ground covered (traveled) by a physical object over a specific period of time and speed, regardless of its direction, starting point or ending point.
Mathematically, the distance traveled by a physical object can be calculated by using this formula:
Distance = speed × time
What is Dimitri's total distance?Dimitri's total distance is the sum of the distance he covered by moving from point A to B and then from B to C. Thus, his total distance is given by:
Total distance = AB + BC
Total distance = 18.1 + 13.3
Total distance = 31.4 feet.
What is the magnitude of Dimitri's displacement?The magnitude of Dimitri's displacement would be calculated by finding the difference in the position of the two point-to-point distances as follows:
Displacement = AB - BC
Displacement = 18.1 - 13.3
Displacement = 4.8 feet.
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HELP FAST
How did the lab activities help you answer the lesson question, "How do atmospheric conditions influence weather patterns?" What did you learn from conducting this lab?
Answer:
not enough
Explanation:
information given
Answer:
Sample Response: In the lab, I discovered the air pressure, air temperature, and relative humidity conditions that create snow, rain, thunderstorms, fog, and clear skies. I learned that low-pressure areas usually experience snowy, rainy, and stormy weather, and that high-pressure areas usually experience either foggy or sunny weather. Knowing how these atmospheric conditions influence weather help weather forecasters predict weather patterns through maps and other information.
(Sorry this was not fast enough )
(2) A camposite rod is made from 40cm length of brass and 60cm length of aluminum. the dusof bris being double of aluninam, nas shown in the given figure. The firce of amurs is at 120°C and the free end of brass is maintained at 20°C if the thermal conductivity of aluminium and that of brass is 205w/mk and 110W/mK respectively find the temperature at the point where the two meals are joined. Aluminium (3) Brass 6
\({\huge{\maltese{\underline{\bold{\tt{\purple{Answer}}}}}}}\)
______________________________________
We can solve this problem using the heat transfer equation:
\({\hookrightarrow}\)Q = \({\frac{kAΔT}{L}}\)
______________________________________
Let's assume that the cross-sectional area of the composite rod is constant, so we can write:
Q = k1A1ΔT1/L1+ k2A2ΔT/L2
where k1 and k2 are the thermal conductivities of brass and aluminum, A1 and A2 are the cross-sectional areas of brass and aluminum, ΔT1 is the temperature difference between the hot end of brass and the junction, and ΔT2 is the temperature difference between the junction and the cold end of aluminum, and L1 and L2 are the lengths of brass and aluminum.
______________________________________
We know that the force of arms is at 120°C and the free end of brass is maintained at 20°C. Therefore, ΔT1 = 120°C - 20°C = 100°C and ΔT2 = 0°C - 120°C = -120°C.
______________________________________
We also know that the length of brass is 40 cm and the length of aluminum is 60 cm. Therefore, L1 = 40 cm and L2 = 60 cm.
______________________________________
We are given that the thermal conductivity of aluminum is 205 W/mK and the thermal conductivity of brass is 110 W/mK. We are also given that the density of brass is double that of aluminum. Therefore, the cross-sectional area of brass is half that of aluminum, or A1 = A2/2.
______________________________________
Substituting these values into the heat transfer equation, we get:
Q = (110)(A2/2)(100)(40) + (205)(A2)(-120)/(60)
Simplifying, we get:
Q = -2.75A2
______________________________________
We know that the heat transferred is equal to zero at the junction, so we can write:
0 = (110)(A2/2)(100)/(40) + (205)(A2)(-120)/(60)
Simplifying, we get:
0 = -2.75A2
Therefore, A2 = 0.
______________________________________
This means that the cross-sectional area of aluminum is zero, which is not possible. Therefore, there must be an error in the problem statement or in our calculations.
Before Collision:
2,000 kg 4 m/s 4,000kg 0 m/s
After collision: 2,000 kg + 4,000kg Vt = ?
I will give Brainliest to the first person. Please show work
Answer:
4/3 m/s
Explanation:
Assuming momentum is conserved, the sum of products of mass and speed before the collision is the same as after:
(2000 kg)(4 m/s) +(4000 kg)(0 m/s) = (2000 +4000 kg)(Vt)
Vt = (8000 kg·m/s)/(6000 kg) = 4/3 m/s
The speed of the combined objects after the collision is 4/3 m/s.
what is the 2nd minimum thickness of film required? assume that the wavelength of the light in air is 470 nanometers.
The second-order minimum thickness of the film required is 1.41 μm.
The minimum thickness required for a thin film to reflect a given color is half the wavelength of the light in the film material. For a second-order minimum thickness, the formula is given by;
t2=2nλwhere t2 represents the second-order minimum thickness of the film, n is the refractive index of the film material, and λ is the wavelength of the light in air.
If the wavelength of the light in air is 470 nm, then the second-order minimum thickness of the film required is given by;t2=2nλ= 2 × 1.5 × 470 nm = 1410 nm = 1.41 μm.
The second-order minimum thickness of the film required is 1.41 μm.
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8.88 kJ of energy raises the temperature of a 1 kg block of copper by 10°C.
Calculate the specific heat capacity of copper.
The specific heat capacity of copper is 0.888 kJ/(kg × °C).
Specific heat capacity is a thermal property of a substance. It indicates how much heat energy is needed to raise the temperature of a unit mass of a substance by one degree Celsius.
The formula for calculating the specific heat capacity of a substance is given as, q = m × c × ∆T`
Where: q = energy,
m = mass of the substance,
c = specific heat capacity of the substance,
∆T = change in temperature.
Now, let’s use the formula above to calculate the specific heat capacity of copper.
The energy required to raise the temperature of a 1 kg block of copper by 10°C is 8.88 kJ.
q = m × c × ∆T
c = q / (m × ∆T)
= 8.88 kJ / (1 kg × 10°C)
= 0.888 kJ/(kg × °C)
The specific heat capacity of copper is 0.888 kJ/(kg × °C).
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What is the velocity of a toy car that rolls 350 cm towards a wall in 4.8 seconds?
A. 0.73 cm/s towards the wall
B. 1,680 cm/s towards the wall
C. 354.8 cm/s towards the wal
l D. 72.9 cm/s towards the wall
Answer:
D. 72.9 cm/s towards the wall
Recommend An architect wants to design a conference room that
reduces noise coming from outside the room. Suggest some design
features that should be considered in this project.
Answer:
Install sound absorbers such as foam or acoustical panels
Explanation:
They could install some sound absorbers such as foam or acoustical panels in the walls, floors, and ceiling of the conference room.
Students used an ammeter to record the current through three different resistors as they increased the voltage applied to each resistor. The data collected is shown in the model below. image Based on the experimental evidence shown in the graphical model, which claim is best about the resistance values of the three resistors? A. Resistor 1 has the largest resistance because it has the smallest current at each applied voltage. B. Resistor 3 has the largest resistance because it has the largest current at each applied voltage. C. Resistor 1 has the largest resistance because it has the largest current at each applied voltage. D. Resistor 3 has the largest resistance because it has the smallest current at each applied voltage.
Answer:its d
Explanation:its right
Resistor 3 has the largest resistance because it has the smallest current at each applied voltage. Thus option D is correct.
what is voltage ?Voltage can be defined as the pressure from the power of an electrical circuit's which pushes charged electrons (current) through a conducting loop, allow them to do work such as illuminating a light.
voltage = pressure, and it is measured in volts (V), it was first discovered by Italian physicist Alessandro Volta (1745-1827), inventor of the voltaic pile.
voltage was otherwise known as electromotive force (emf), according to the equations such as Ohm's Law and it is represented by the symbol E.
it is the potential difference between two points in a circuit or the electromotive force in a given circuit, a device called voltmeter used to measure voltage.
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HELP I NEED THIS QUICK PLEASE
First let's see what the funny letters in the equation they gave us means.
F = Gravitational Force
G = Gravitational Constant
m1 = Mass of one of the spheres
m2 = Mass of the other sphere
r = Distance between the two spheres
Ok, now implement it.
\(\frac{9.8 x 10^{2} 1.96 x 10^{2} }{4^{2} }\)
To make it simpler
F = 980 x 196 = 192,080
192,080 ÷ 4²
192,080 ÷ 16
= 12005
F = 12,005N
Sample response: tangential speed is dependent on an object's distance from the center of the circle. the farther away from the center an object is, the faster the object has to travel. therefore, people living at a latitude of 0 degrees experience the greatest tangential speed. what did you include in your response? check all that apply. tangential speed is dependent on an object’s distance from the center of the circle. objects farther from the center of the circle travel faster. people living at 0 degrees latitude experience the greatest tangential speed.
The tangential pace is depending on an item's distance from the center of the circle. The farther far from the center an item is, the faster the object has to travel. consequently, human beings residing at a range of 0 stages experience the greatest tangential speed.
The equation v=rω says that the tangential velocity v is proportional to the gap r from the middle of the rotation. consequently, the tangential pace is more for a factor on the outer fringe of the CD (with large r) than for a factor towards the middle of the CD (with smaller r). The greater the gap from the center of the circular course, the extra tangential speed of the object.
Tangential speed is the linear thing of the speed of any item that is shifting in a circular direction. when an item moves in a circular route at a distance r from the middle, then the body's pace is directed tangentially at any immediate. this is termed tangential velocity.
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describe two forces you experience/observer everday
Answer:
Static friction: Keeps objects from sliding
Kinetic energy: Simply walking
Explanation:
Answer:
Friction and Inertia
Explanation:
Friction - Friction causes a force on a surface which is in the opposite direction to its motion. Example: applying the brakes in a car.
Inertia - An object will stay in motion and an object at rest will stay at rest unless acted upon by an outside force. Example: Why your book stays still on the table if you don't touch it, or why you shoot forward when brakes are applied in a car.
Which best explains why the receiver of a signal must understand the code or language being used
The receiver of a signal must understand the code or language being used to avoid confusion and losses.
What is a Signal?This is usually in the form of a sound or body movement and is involved in conveying messages to people.
The receiver must understand the code or language in order to prevent confusion or loss of lives and properties.
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What would be the diameter of the earth if it had the density of a neutron star
Answer:
At neutron star density, the Earth's whole mass would fit inside a 305-meter-diameter sphere.
Explanation:
What is a crossroads of trade?
Answer:
A crossroads of trade is a place where many trade routes converge, often leading to the exchange of goods and ideas between different cultures. Historically, cities and towns located at crossroads of trade have been important centers of commerce and cultural exchange. For example, the ancient city of Alexandria in Egypt was a crossroads of trade between Europe, Africa, and Asia, and played a key role in the exchange of goods and ideas between these regions. In modern times, cities such as Dubai and Singapore have become important crossroads of trade due to their strategic location and well-developed infrastructure for transportation and logistics.
As a moon in a very elliptical orbit moves closer to and then farther from a planet, gravity flexes the moon with tides, and friction heats the interior. This process is referred to as
Answer:
i think it was kneading because of that constant gravitational war between two interstellar celestial bodies one is also molding the other with its gravitational force so that way between the moon and the earth is a gravitational war between the two objects
Explanation: DO BE WARNED . i am not 100% sure if this was the correct term or not so please do consider this warning.