The magnitude of a velocity vector that had x- and y-components of 36 m/s and 48 m/s, respectively is 60 m/s. Thus, the correct option for this question is B.
What is magnitude?The term magnitude may be characterized as the distance or quantity. The magnitude can be significantly utilized in order to describe the comparison of speeds. This term can remarkably be used to demonstrate the distance traveled by an object or to illustrate the amount of an object in terms of its magnitude.
The magnitude of the velocity vector may be defined as the total value which is the square root of the value. The magnitude of the vector can be, |a| = √ ( x² + y² ).
Now, substituting the values of x component and y component given, = √ ( 36² + 48² ) = √ ( 1296 + 2304) = √ 3600 = 60 m/s.
Therefore, the magnitude of a velocity vector is found to be 60 m/s. Hence, Option B is the correct answer.
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1. How many milligrams are in 25 grams?
Answer: 25000 milligrams are in 25 grams
Explanation:
Answer:
25,000
Explanation:
Since 1 gram is 1,000 milligrams, multiply 25 x 1,000 to get the answer.
Which scientist developed the theory of gravitation and used it to explain the orbits of celestial bodies?
Isaac Newton developed gravitational theory and used the theory to describe the orbits of celestial bodies
Newton's law describes the "strength of the force of gravity between two objects," which decreases as one moves away from light. It is mathematically recognized as an "inverse square law."
The following process for picturing the field drop-off is to envision the field of gravity around an object as a set of concentric spheres. Each sphere represents the same volume of the gravitational field, but the spheres furthest from the object are larger, resulting in the same volume of field is distributed thinly over a larger area.
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A person of weight 80 kg jumped off a platform of height 1 m and safely landed on their feet. what is the magnitude of the momentum change during the collision? give answer in si units.
The momentum change is 125440 kg.m/s.
We need to know about momentum to solve this problem. Momentum can be defined as the degree of difficulty to stop a moving object. It can be determined by
P = m . v
where P is momentum, m is mass and v is velocity.
Momentum also can be defined by kinetic energy
KE = 1/2 . m . v²
KE = P² / 2m
where KE is kinetic energy
From the question above, we know that:
m = 80 kg
h = 1 m
g = 9.8 m/s²
By conservation of energy, the initial kinetic energy is zero because of the person is in static condition. Hence, the initial momentum is
KEo = Po² / 2m
Po = 0 kgm/s
After the jump, the person will have maximum kinetic energy before landing which can be written
KE = PE
P² / 2m = m . g . h
P² = 2m² . 9.8 . 1
P² = 2.80² . 9.8 . 1
P² = 125440 kg.m/s
The momentum change is
ΔP = P - Po
ΔP = 125440 - 0
ΔP = 125440 kgm/s
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A ball accelerates uniformly at −2.00 m/s2.
If the ball was initially moving at 0.20 m/s and the ball travels for 7.00 s, then what was its final velocity?
−1.8 m/s
negative 1.8 meters per second
−13.8 m/s
negative 13.8 meters per second
−14.2 m/s
negative 14.2 meters per second
+13.8 m/s
The final velocity of the ball, given the data is –13.8 m/s
What is acceleration?This is defined as the rate of change of velocity which time. It is expressed as
a = (v – u) / t
Where
a is the acceleration v is the final velocity u is the initial velocity t is the time How to determine the final velocityThe final velocity of the ball can be obtained as follow:
Acceleration (a) = −2 m/s² Initial velocity (u) = 0.2 m/sTime (t) = 7 sFinal velocity (v) = ?a = (v – u) / t
–2 = (v – 0.2) / 7
Cross multiply
v – 0.2 = –2 × 7
v – 0.2 = –14
Collect like terms
v = –14 + 0.2
v = –13.8 m/s
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The fuel for a jet engine has a density of 1.32 slug/ft3. if the total volume of fuel tank a is 50 ft3, determine the weight of the fuel when the tanks are completely full?
The weight of the fuel when the tank is filled is 2.13 kip.
The density of the fuel of the jet engine= 1.32 slug/ft³
The total volume of the fuel that can be filled in the fuel tank of a jet engine = 50 ft³
The specific weight of the fuel when the tank is filled is,
[tex] \gamma = p \times g[/tex]
[tex] \gamma = 1.32 \times 32.2[/tex]
[tex] \gamma = 42.504 \: ib/ft ^{3} [/tex]
The specific weight of the fuel when the tank is filled is 42.504 ib/ft ³.
The weight of the fuel when the tank is filled is,
[tex]w = \gamma \times ∀[/tex]
[tex]w = 42.5.4 \times 50[/tex]
[tex]w = 2.13 \: kip[/tex]
The weight of the fuel is 2.13 kip.
Therefore, the weight of the fuel when the tank is filled is 2.13 kip.
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In a mass spectrometer, a compound is first vaporized and converted into ions, which are then separated based on a difference in their _______________________.
The correct answer is their difference in the charge to mass ratio a mass spectrometer, a compound is first vaporized and converted into ions .
Mass spectrometry is a technique for determining the mass-to-charge ratio (m/z) of one or more molecules in a sample. These measurements are frequently used to calculate the precise molecular weight of the sample components.
The speed at which positively charged ions move through a vacuum chamber toward a negatively charged plate is measured by mass spectrometers. ToF, magnetic sector, and quadrupole mass spectrometers are all commonly used in SIMS instrumentation.The MS/MS has three major advantages: the ability to study numerous molecules regardless of whether they are from the same structural family or not; the ability to highlight the specific metabolites of a disease; and it is an automated technique that allows for large-scale analysis.
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Consider the following line of code: int[] somearray = new int[30]; which one of the following options is a valid line of code for displaying the twenty-eighth element of somearray?
Valid line of code for displaying the twenty-eighth element of some array is System.out.println(somearray[27]).
What is an array?Arrays are among the most well-known and essential data structures, and they are utilized by practically all programs. A wide variety of additional data structures, including lists and strings, are likewise implemented using them. They successfully take advantage of computers' addressing systems. The memory is a one-dimensional array of words whose indices are their addresses in the majority of contemporary computers and many external storage devices. Array operations are frequently optimized for by processors, especially vector processors.
The main reason why arrays are helpful is that the element indices may be calculated in real time. This feature, among other things, enables a single iterative statement to process an array's items in any number.
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PLS HELP ILL GIVE BRAINLIEST
AND IF YOURE ABLE TO PLS PROVIDE THE EXPLANATION TYSMMMM
In frustration, a junior drops the APUSH textbook 1.5 m. How long will it take to hit the ground?
The time taken for the APUSH textbook to hit the ground is determined as 0.55 seconds.
What is time of motion?The time of motion of an object is the time taken for the object to travel from its initial point to the final point.
The time taken for the APUSH textbook to hit the ground is calculated as follows;
t = √(2h/g)
where;
h is the height of fall of the textbookg is acceleration due to gravityt = √(2 x 1.5/9.8)
t = 0.55 seconds
Thus, the time taken for the APUSH textbook to hit the ground is determined as 0.55 seconds.
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write a hypotheses about the use of an objects physical charecteristics to determine its density use the format "if then because" and be sure to answer the lesson question "how can the density of an object be determined?
i don't know.
Explanation:
because i don't want responde
4. What is the density of a cube that when placed on a triple beam balance measures to be 64g and has volume of 8cm 3 ?
This is an exercise on the density of liquids and gases.
The data provided in the exercise are:
Density (d) = ?
Mass (m) = 64g
Volume (v) = 8cm³
To calculate the density of the cube when it is placed on the balance, divide the mass divided by the volume. We apply the following formula:
d = m/vWe substitute our data in the formula and solve:
d = (64 g)/(8 cm³)d = 8 g/cm³Answer: The density of the cube placed on the three-beam balance is 8 g/cm³. ✅
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Scalar is a physical quantity having only magnitude. (amount)
scalar quantity : The physical quantity which are specified with the magnitude are known as scalar quantities.
For example :
length - 5m
speed - 10 m/s , 10km/h etc
Mass - 6kg , 20g etc
energy - 30 joule
density - 56kg/m³
It has no direction. It has only magnitude. Described by real numbers.There is another quantity known as vector quantity.
vector quantity : The physical quantity which are specified by its magnitude and direction also.
For example, velocity, acceleration, force etc.
Scalar is a physical quantity having only magnitude. (amount)
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3. A cube measures 3 mm x 3 mm x 3 mm. What is the volume of the
cube?
The correct answer 27 mm^3 is the volume of the cube measureing 3 mm x 3 mm x 3 mm.
The cube's volume is 3 in x 3 in x 3 in = 27 mm ^3
The volume of a cube is calculated by multiplying its side by three. Thus, the volume of a cube can be expressed as Volume of cube = s ^3, where s is the cube's side length. A cube's volume is the space enclosed by its six faces. In contrast to 2d shapes, it has additional dimensions in addition to length and width, which are known as height and thickness. As a result, the volume of a cube equals the product of its length, width, and height.
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If the mass of an object is 14 lbm, what is its weight, in lbf, at a location where g = 32.0 ft/s2?
The mass of the object is 13.924 lbf.
CalculationUsing the formula:
w = m x g ....... eq1
here w is weight of the object.
m is mass of the object, and
g is the acceleration of gravity.
mass, m = 14 lbm (given)
acceleration of gravity, g= 32.0 ft/[tex]s^{2}[/tex]
Now, substituting the values in equation (1):
w = 14lbm x 32.0 ft/[tex]s^{2}[/tex] = 448 lbm ft/[tex]s^{2}[/tex]
since, 1 lbf = 32.174 lbm ft/[tex]s^{2}[/tex]
so, w = 448 x [tex]\frac{1}{32.174}[/tex]
w = 13.924lbf
Hence, the mass of an object is 13.924 lbf.
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The intensity of sunlight at the Earth's distance from the Sun is 1370 W/m². Assume the Earth absorbs all the sunlight incident upon it. (b) Explain how this force compares with the Sun's gravitational attraction
Comparing these two values, Fgav is much greater than Fr.
First, calculate the force produced by the radiation pressure:
The radiation pressure produces a force equal to,
Fr=pr(πRe2)
=(I/c) ( πRe2)
Given that
I= Intensity of sun = 1370 W/m²
c = speed of light = 2.998×108m/s
Re = Radius of the earth= 6.37×106m
Ms= mass of sun = 2.0×1030kg
Me= mass of earth = 5.98×1024kg
des2 = distance of earth and sun apart =1.5×1011m
Substituting the given values according to the question
Fr= π (1.37 × 103 kW/m2) (6.37×106m)2/2.998×108m/s
=6.0×108N
(b) The gravitational pull of the Sun on the Earth is,
Fgav= GMsMe/ des2
putting values according to question
Fgav= (6.67×10−11 N⋅m2/kg2) (2.0×1030kg) (5.98×1024kg) / (1.5×1011m)2
=3.6×1022N.
Comparing these two values, it is obvious that Fgav is much greater than Fr.
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The average temperature of ocean surface water is 289 k. oceans behave as black bodies. show that the intensity radiated by the oceans is:_____
The radius is equal to the Earth’s radius. You can find this information online by computing the Earth’s surface area while assuming that it is a perfect sphere, then multiplying the result by the percentage of the planet that is covered in water.
Actually, you can demonstrate this without knowing the radius.
P/A = e•s•T4
Water has an emissivity, e, of roughly 0.96. And 5.67108 W/m2 K4 is the Stefan-Boltzmann constant.
Stephen Boltzmann lawThe power radiated from a black body is described by the Stefan-Boltzmann law in terms of its temperature. The Stefan-Boltzmann constant, often known as the proportionality constant, is derived from several well-known physical constants.
Where k is the Boltzmann constant, h is the Planck’s constant, and c is the speed of light in a vacuum, the constant has the value since 2019
When compared to a black body, a body that does not completely absorb incident radiation (sometimes referred to as a grey body) emits less total energy.
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With light microscopy, if the objective lens (lens closest to the specimen) magnifies 40-fold, and the eyepiece lens magnifies 10-fold, the final magnification will be:_________
The final magnification will be 400-fold or 400 times the original size of the object.
For magnifying smaller objects, a compound microscope is used.
A compound microscope consists of an objective and an eyepiece, whose diagram is shown in the adjoining image.
The lens near the object is called an objective and the other one is the eyepiece.
Let the magnification of the objective be m1
Let the magnification of the eyepiece be m2
The final magnification by the microscope, M, will be
M = m1 x m2
Putting the values in the above equation
M = 40 x 10
M= 400
Thus, the final magnification will be 400-fold or 400 times the original size of the object.
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1. if a wave traveling through air decreases its wavelength by half, what happens to the wave speed and frequency?
Wave speed decreases by half while the frequency remains constant.
For any wave the equation [tex]v = f \lambda[/tex] holds true.The frequency is a quality of a given wave and it does not change with the external parameters.So, the possibility is for the [tex]v[/tex] and [tex]\lambda[/tex] to change accordingly.Therefore, [tex]v[/tex] and [tex]\lambda[/tex] are directly proportional to each other. Thus when the wavelength decreases by half the speed also decreases by half.This can be shown as follows as well.
[tex]\begin{aligned}\\\small v_1 &=\small f.\lambda_1\quad\cdots\cdots(1)\\\\\small v_2 &=\small f.\frac{\lambda_1}{2}\quad\cdots\cdots(2)\\\\(2)\div&(1)\\\\\small v_2 &=\small \frac{v_1}{2}\end{aligned}[/tex]
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At the summer solstice in the northern hemisphere, the sun:____.
The complete statement is → At the summer solstice in the northern hemisphere, the sun travels longest path through the sky.
We have a statement regarding summer solstice in northern hemisphere.
We have to complete the statement using appropriate words.
What is Summer Solstice?A Solstice that marks the onset of summer. To be more precise, 21st June in northern hemisphere marks the summer solstice and 22nd December in southern hemisphere marks the Summer solstice.
According to the question, we have -
At the summer solstice in the northern hemisphere, the sun ____.
The given sentence can be completed as →
At the summer solstice in the northern hemisphere, the sun travels longest path through the sky.
On this day, there is more daylight. During the summer solstice in northern hemisphere, the north pole is shifted 23.4° toward the Sun which lasts until the autumnal equinox (September 22 or 23) where it ends.
Hence, the complete statement is → At the summer solstice in the northern hemisphere, the sun travels longest path through the sky.
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Define what is meant by a "frame of reference" in physics. as we study motion, what will we normally use as our reference frame? give an example of motion being described using this reference frame. under what conditions would we use a different reference frame to describe motion? give two examples of using a different reference frame to describe motion, explaining why this different reference frame is used.
A frame of reference is just a set of coordinates that are used in the study of physics to calculate things like position and velocity. Axes that specify the three dimensions of space within the frame of reference are often included in such a frame.
What is the example of a motion being defined using this FOR?A railway platform is an illustration of an inertial frame of reference. The platform doesn't move, hence it satisfies the requirement for not accelerating. The platform's objects move according to the law of inertia.
Under what conditions do we use a different FOR?An acceleration with respect to an inertial frame characterizes a non-inertial reference frame. In general, an accelerometer at rest in a non-inertial frame will pick up a non-zero acceleration. While all inertial frames share the same laws of motion, non-inertial frames have different laws of motion depending on the acceleration. For example, let's imagine you are driving through a stop signal in an automobile. The automobile has stopped moving. The automobile accelerates when the light turns green. The car is not an inertial frame of reference when it is accelerating. You will feel yourself "pushed" into the seat if the acceleration is significant enough.
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What role is played by physics in communication
Explanation:
physics allow us to understand the electromagnetic radiation we used to transmit data with fibre optics and satellites and to build computers that interpret those signals and transmit data on the internet
A thermometer that consistently measures five degrees cooler than the actual temperature is:________
A thermometer that consistently measures five degrees cooler than the actual temperature is reliable but not valid.
What is a thermometer?A thermometer is a device used to measure temperature or a temperature gradient (the degree of hotness or coldness of an object). A thermometer is made up of two essential parts: a temperature sensor that adapts to changes in temperature (such the bulb in a mercury-in-glass thermometer or the pyrometric sensor in an infrared thermometer), and a means to convert this change into a numerical value. In order to monitor processes, thermometers are frequently employed in technology, industry, meteorology, medicine, and scientific study.
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What would be the average fixed cost per unit at an activity level of 5,200 units? assume that this level of activity is within the relevant range.
The average fixed cost per unit at an activity level of 5,200 units is $6.00.
What is the average fixed cost?The average fixed cost (AFC) is fixed cost that does not change with the change in the number of goods and services produced by a company. To put it in a nutshell, average fixed cost (AFC) is the fixed cost per unit and is calculated by dividing the total fixed cost by output level.
Since no cost is fixed for a long time, average fixed cost is only for a short run. When units of production increase, the average fixed cost per unit decreases. Similarly, when the business produces less units, average cost increases per unit.
However, only one unit, mostly capital, is fixed. Examples of average fixed cost are the salaries of permanent employees, mortgage payment on machinery and plant, rent, more.
Average Fixed Cost Formula:
AFC = Total fixed cost/Output (Q)
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For a relative frequency distribution, relative frequency is computed is computed as ____________.
Answer:
For a relative frequency distribution, relative frequency is computed as the class frequency divided by the number of observations.
An airplane lands on a runway with a velocity of 150 m/s. how far will it travel until it stops if its rate of deceleration is constant at -3 m/s^2?
The airplane lands with a velocity of 150 m/s and its rate of deceleration is constant at -3 m/s^2,
[tex]u = 150 m/s[/tex]
[tex]a = -3 m/s^{2}[/tex]
[tex]v = 0[/tex]
According to the Equation of motion , [tex]v^{2} = u^{2} + 2as[/tex]
[tex]s =\frac{ v^{2} - u^{2} }{2a}[/tex] [tex]= \frac{0^{2} - 150^{2} }{2*(-3)}[/tex]s = 3750 m
Equations of motion are the mathematical formula that describes the position, velocity, or acceleration of a body relative to a given frame of reference.
The airplane will have to travel 3750 m until it stops if its rate of deceleration is constant at -3 m/s^2.
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What is the electric flux passing through a gaussian surface that surrounds a 0.075 c point charge?
An 0.075 c point charge's surrounding gaussian surface's electric flux is 8.5 ×10⁹Nm²/C.
Which is a gaussian surface?In three dimensions, the Gaussian surface is referred to as a closed surface where the flux of a vector field may be determined. The gravitational field, the electric field, or the magnetic field are all examples of these vector fields.
Why is a Gaussian surface drawn?We build a fictitious Gaussian surface around the supplied surface when the surface of which an electric field or flux must be established is asymmetrical or the surface area is challenging to obtain, such as the surface area for an infinitely long wire or plane. The Gaussian surface is said to utilize symmetry the best.
When a charge q is surrounded by a gaussian surface, the electric flux that passes through it is
[tex]\phi=q / \epsilon 0[/tex]= 0.075 / ( 8.85 ×10⁻¹²)
= 8.5 ×10⁹Nm²/C.
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A water pump with a power of 3.4 × 102 watts lifts water at the rate of 7.5 × 10-2 meters/second from a water tank. What is the force exerted by the pump on the water?
The force exerted by the pump is 4533.33 N
Force can be define as, that it is an external agent capable of changing an object's state of rest or motion. In a very simple word i.e. a push or pull upon an object resulting from the object's interaction with another object is also known as force and it is vector quantity . The unit of force F is Newton (N) .
F = ma
Here, F is force, m is mass and a is acceleration of the object.
We are given that ,
The power of water pump = P = 3.4 × 10² watts
The rate of water to lift up = v = 7.5 ×10⁻² m/s
Thus, to get the value of force F exerted by the pump to lift water up can be given as,
P = F × V
Where, p is the power , F is the force and V is the velocity of the pump. Since, the above equation can be express as,
F = P/V
F = (3.4 × 10² watts)/ (7.5 × 10⁻² )m/s
F = 4533.33 N
Therefore, the force exerted by the pump to lifted up water would be 4533.33N
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use the midpoint rule with n = 4 to estimate the work w (in j) done by the force in moving an object from
The work w (in j) done by the force in moving an object is 222.4 J
We know that,
[tex]M_{n}[/tex] = ∑[tex]_{i = 1}^{n}[/tex] f ([tex]m_{i}[/tex] ) Δ
where,
i = [tex]i^{th}[/tex] rectangle
n = Number of rectangles
f ([tex]m_{i}[/tex] ) = Function of the curve evaluated at the midpoint of the [tex]i^{th}[/tex] rectangle
[tex]m_{i}[/tex] = Midpoint of [tex]i^{th}[/tex] interval
Δ = Width of each rectangle
Given that,
x 5 9 13 17 21 25 29 33 37
f(x) 5 5.5 6.8 8.8 9.8 8.1 6.7 5.4 4.2
n = 4
Δ = ( 37 - 5 ) / 4
Δ = 8
∫[tex]_{5} ^{37}[/tex] f (x) dx = ∑[tex]_{i = 1}^{4}[/tex] f ([tex]m_{i}[/tex] ) Δ
∑[tex]_{i = 1}^{4}[/tex] f ([tex]m_{i}[/tex] ) Δ = 8 ( 5.5 +8.8 + 8.1 + 5.4 )
∑[tex]_{i = 1}^{4}[/tex] f ([tex]m_{i}[/tex] ) Δ = 222.4
∫[tex]_{5} ^{37}[/tex] f (x) dx = 222.4 J
The midpoint rule, also known as the midpoint Riemann sum is used to estimate integral of a function or area under a curve.
Therefore, the work w (in j) done by the force in moving an object is 222.4 J
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How many water molecules are present in 222.22 ml sample of water ( molar mass =18.01 g/mol)
7.4304*10²⁴ molecules water molecules are present in 222.22 ml sample of water ( molar mass =18.01 g/mol).
Mass of water = density * volume
=1.00gm/mμ*222.22mol
=222.22gn
No of moles of water = mass/molar mass
no of water molecules/Avogadro no.=12.34 mol
no of water molecules= 12.34 mol * 6.022*10²³ mol
=74.304*10²³ molecules
=7.4304*10²⁴ molecules
so, 7.4304*10²⁴ molecules are present in 222.22 ml of water sample
7.4304*10²⁴ molecules.
Describe a molecule:One or more atoms make up molecules. They may have the same atoms (for example, an oxygen molecule has two oxygen atoms) or different atoms if they have more than one (a water molecule has two hydrogen atoms and one oxygen atom). Proteins and DNA are examples of biological compounds that can contain thousands of atoms.
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If you use a horizontal force of 30n to slide a 12kg wooden crate across a floor at a constant velocity. what is the coefficient of kinetic friction?
The coefficient of kinetic friction is 0.255.
The ratio of the friction force to the normal force felt by a body moving on a dry, uneven surface is known as the kinetic friction coefficient (k).
Equation :Wb = Mg = 12 X 9.8 = 117.6 N. = Normal
force, Fn.
Fx-Ff = Ma.
Since the velocity is constant, the acceleration is zero.
Fx-Ff = MX0 = 0.
Ff = Fx = 30 N.
Ff = uXFn.
u = Ff/Fn = 30/117.6 = 0.255.
The coefficient of kinetic friction is 0.255
Kinetic Friction :Kinetic friction is a force that exists between moving surfaces. A body moving on the surface feels a force in the reverse direction of its movement. The magnitude of the force is determined by the kinetic friction coefficient of the two materials.
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who drink water with no mouth?
Answer: Tree
Explanation: Cause they don't have mouth to drink water they just have root