If John is 20.0 meters away from me and he is running away from me at 5.0 m/s. I sprint at 7.0 m/s to catch up. Then, I will take 10 seconds to reach him.
We know that,
Speed = Distance / Time
Time = Distance / Speed
Given that,
My speed = 7 m/s
John's speed = 5 m/s
Distance I need to cover to catch up John = ( 20 + x ) m
Distance John will cover before I catch up to him = ( x ) m
Since the time taken by both of us to reach that point is same,
( 20 + x ) / 7 = x / 5
100 + 5x = 7x
2x = 100
x = 50 m
Time required = Distance / Speed = 50 / 5
Time required = 10 seconds
It will take me 10 seconds to reach John.
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The hydrogen stored inside a large weather balloon has a mass of 135.5 g. what is the volume of the balloon (l) if the density of hydrogen gas is 0.089 g/l?
The volume of balloon will be 1522.5 cubic liter.
We have a hydrogen stored inside a large weather balloon of given mass and density.
We have to calculate the volume of balloon.
How is density and mass of body related ?The density and mass of body are related as follows -
M = ρV
where -
ρ - Density of Object.
M - Mass of Object.
V - Volume of Object.
According to the question →
Using the formula discussed above -
M = ρV
V = M/ρ
V = 135.5/0.089
V = 1522.5 cubic liter.
Hence, the volume of balloon will be 1522.5 cubic liter.
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A reverse-biased silicon diode is connected in series with a 12 v source and a resistor. the voltage across the resistor is:__________
A 12 v source, a resistor, and a silicon diode that has been reverse-biased are all linked in series. The diode will use 0.7 volts of the voltage across the resistor, leaving 11.3 for the rest of the circuit's components.
What is the purpose of a resistor?The amount of electrical current that can flow through a circuit in an electronic device is controlled or limited by a resistor. Resistors can be used to deliver a certain voltage to an electronic element like a transistor.
Which various kinds of resistors are there?Resistors with a fixed value. These resistor configurations are the most common and, as their name implies, have a set resistance value.Adjustable resistors.Resistance Networks.Resistors made of carbon film.Resistors made of metal film.Wire wound resistorsResistor made of metal oxide.Strip metal resistorsTo know more about Resistors visit:
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What is the acceleration of a car travelling with a constant speed of 6o mph on a curved road that has 400 ft radius?
A car traveling at a steady speed of 60 mph on a curved road with a 400-foot radius experiences an acceleration of a=19.36 feet per second.
How does acceleration work?Acceleration is the rate of change in a moving object's speed and direction over time. When something moves faster or slower, it is considered to be accelerating. Motion on a circle accelerates even while the speed is constant because the direction is always changing.
What are the three different forms of acceleration?Any change in an object's velocity causes an acceleration, whether it be an increase in speed (what most people refer to as acceleration), a decrease in speed (also known as a deceleration ), or a change in direction (called centripetal acceleration ).
Speed
V=60mph
V=60*1.4667
V=88 ft/s
Acceleration
a= v²/r
a=88²/400
a=19.36ft/s²
A car traveling at a steady speed of 60 mph on a curved road with a 400-foot radius experiences an acceleration of a=19.36 feet per second.
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The distance between mankato, mn, and duluth, mn, is approximately 237 miles one way. how far is that in kilometers?
The distance between Mankato and Duluth is 237 miles i.e. equal to 381.415 kilometer approximately.
Distance can be define as, the total movement of an object without any regard to direction. Thus in very simple word the distance between two points is the length of the line segment that connects them. The distance between two points is always positive.
A line segment is a term of geometry that, the part of a line having two endpoints
The distance between Mankato and Duluth = 237 miles
1 miles = 1.60934 kilometers
237 miles = 237 × 1.60934 kilometers
237 miles = 381.41358 kilometers
Therefore ,we can write the distance between Mankato and Duluth in kilometers is 381.4 kilometers.
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The number of calories that you can eat a day without gaining weight depends on your _____.
The number of calories that you can eat a day without gaining weight depends on your activity level
For there to be a balance between the number of calories consumed through food and weight gain, it is important to maintain a good level of physical activity that helps us to maintain a healthy weight and at the same time does not allow an increase in weight and body mass.
All this is because the relationship between daily calories consumed and weight gain is directly proportional to the level of physical activity that we do.
What is body mass?It is the amount of mass associated with a person's body
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_____ heat transfer occurs due to rapid collisions of atoms in a solid.
Convection
Radiation
Solar
Conduction
Picture attached please help! The tea kettle has the spout closed. When put over heat, the water in the kettle begins to boil. What happens to the steam.
Answer:c
Explanation: the law of conservation of mass states that mass can niether be created nor destroyed and if there is a plug the steam has to go somewhere
Answer:
C. The steam will fill up the container it is in because gas does not have a definite size.
Explanation:
Underground-fault conditions, an effective ground path will carry current from the point of a ground fault to ________.
Under ground fault conditions, an effective ground path will carry current from the point of a ground fault to electrical supply source
The effective ground path is a low impedance electrically conductive path constructed intentionally to carry current under ground fault conditions. It helps remove dangerous voltage from a ground fault and facilitates overcurrent protective device operation.
Ground fault is a type of short-circuit in which the electricity takes an unplanned path to the ground. It is caused by wrong wiring or damaged insulation / appliance.
Therefore, under ground fault conditions, an effective ground path will carry current from the point of a ground fault to electrical supply source
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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.
If the reaction is second order in a and second order in b, what is the rate when the initial concentration of [a] = 3.94 mol/l and that of [b] = 2.21 mol/l?
The rate of reaction is 75.82k mol / l s
We know that,
Rate = k [tex][a]^{x}[/tex][tex][b]^{y}[/tex]
Where,
k = Rate constant
x = Order of reaction of a
y = Order of reaction of b
Given that,
[a] = 3.94 mol / l
[b] = 2.21 mol / l
x = 2
y = 2
Rate = k * [tex]3.94^{2}[/tex] * [tex]2.21^{2}[/tex]
Rate = 75.82k mol / l s
Rate of reaction is the speed at which the reactants are converted to products.
Therefore, the rate of reaction is 75.82k mol / l s
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Julian is having trouble coping with stress and setting goals. what is he most likely struggling with?
Julian is having trouble coping with stress and setting goals. He is most likely struggling with emotional heath.
How we feel and think affects our emotional well-being. It is about how we feel about ourselves, how we handle difficult situations, and how we acknowledge both our own and other people's feelings.
This comprises resilience, self-acceptance, self-esteem, and the capacity to control intense emotions. Social. Friends are crucial because they make our life more enjoyable, companionable, and supportive.
Emotional stability is a state of calmness and emotional control. Resilience is the capacity to handle life's hardships. optimism: having a good outlook on life and the future. Self-esteem is the attitude you have toward oneself.
Depression, anxiety, stress, having a negative body image, grieving a loss, becoming a new parent, and other significant life changes can all have an impact on your mental and emotional well-being.
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Life has been found on earth in a lake deep under the antarctic ice pack. this resembles what other environment in the solar system that has been cons?
Life has been found on Earth in a lake deep under the Antarctic ice pack. This resembles europa environment in the solar system which has been considered a possible location for life.
Briefing :The fourth-largest satellite of Jupiter, Europa is the solar system's sixth-largest moon. It is the smoothest solid object in the solar system despite its broken and discolored appearance; its highest peaks, which are small and only reach a few hundred meters in height, and huge craters are uncommon. Because of its smoothness, the moon's surface is likely only tens of millions of years old, as opposed to other objects' surfaces that are billions of years old. Unlike on many other worlds, the ice here is somehow resurfacing and smoothing out more quickly.Instead of the massive canyons found on some other worlds, the streaks and splotches that run across the terrain are most likely caused by relatively shallow fissures and differing ground compositions.Learn more about the europa with the help of the given link:
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Neutron stars and black holes are formed by:_____.
a. the star formation process.
b. mass transfer in binary star systems.
c. novae.
d. type i supernovae.
e. type ii supernovae.
The correct option is type ii supernovae.
Neutron stars and black holes are formed by type II supernovae.
What is type II supernovae?A large star's quick collapse and ferocious explosion produce a Type II supernova. To experience this kind of explosion, a star's mass must be at least 8 times that of the Sun, but no more than 40 to 50 times. The presence of hydrogen in the spectra of type II supernovae sets them apart from other types of supernovae. They are typically found in galaxies' spiral arms and H II regions, but not in elliptical galaxies, which are typically made up of older, low-mass stars and have less of the young, extremely massive stars required to produce supernovae.Learn more about the Type I and II supernova with the help of the given link:
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A car is just starting up from a stop sign and has zero velocity at the instant that it starts. must the acceleration of the car also be zero at this instant?
Yes. hence the change in velocity is acceleration. There won't be a change in velocity if there is no velocity.
With an example, what is acceleration?It is possible for an object's velocity to alter by increasing, decreasing, or changing its direction of motion. A few instances of acceleration include an apple falling to the ground, the moon orbiting the earth, and a car coming to a stop at a set of traffic lights.How is acceleration measured?A metre per second per second (m/s2) is used to measure acceleration.The snewton is the unit of force responsible for producing an acceleration of one meter per second per second when applied to a mass of one kilogram.learn more about acceleration here
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During each cycle of operation, a refrigerator absorbs 257 j of heat from the freezer and expels 465 j of heat to the room. how much work input is required in each cycle?
Work input is required in each cycle w = 208j
Here can explain as ,according to the law of conservation of energy , the total heat given off the surrounding by a refrigerator is equal to the work done by the refrigerator and the heat removed from the inside of a refrigerator .i.e. the addition of heat removed or absorbs and work done by the refrigerator is equal to the heat expelled to the room during each cycle. It can be shown as ,
[tex]Q_{h}[/tex] =[tex]Q_{c}[/tex] + [tex]W[/tex]
Where,
[tex]W[/tex] is work input of refrigerator during each cycle.
[tex]Q_{c}[/tex] is the heat removed or absorbed by the refrigerator.
[tex]Q_{h}[/tex] is heat expelled to the room during each cycle.
Given here,
[tex]Q_{c}[/tex] = 257 j
[tex]Q_{h}[/tex] = 465 j
Therefore from above equation can be find the value of work input by the refrigerator in each cycle,
[tex]W[/tex] =[tex]Q_{h}[/tex] - [tex]Q_{c}[/tex]
w = (465 j) -(257 j)
w= 208j
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Which of the points a(9, 0, 1), b(9, 7, 3), and c(1, 8, 6) is closest to the yz-plane? which point lies in the xz-plane?
The distance of a point to the yz-plane is given by the absolute value of the x coordinate. So, for point A, the distance is equal to,
Dyz = | -4 | = 4 units
Next, for point B, the distance is equal to,
Dyz = | 3 | = 3 units
Lastly, for point C, the distance is equal to,
Dyz = | 2 | = 2 units
Since point C has the smallest distance to the yz -plane, this point is closest to the yz-plane.
Unlike the regular 2-dimensional Cartesian coordinate system, a three-dimensional coordinate system contains three axes. To plot points in this coordinate system, the point's ordered triple must be known, (x,y,z,).Each coordinate on the ordered triple represents a point that lies on one of the axes
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For an object being launched at ground level at a tilted non-zero initial velocity, is the velocity zero anywhere? are the horizontal or vertical components of the velocity zero at any point?
The correct answer No the velocity is not zero anywhere For an object being launched at ground level at a tilted non-zero initial velocity, and horizontal or vertical components of the velocity is zero at maximum height .
Because velocity is a vector (it has magnitude and direction), the overall velocity of an object can be calculated by adding the x and y components: v2 = vx2 + vy2. Meters are used to express horizontal and vertical distances (m). The horizontal velocity component (vx) describes the effect of velocity on horizontal displacement of the projectile.
The vertical velocity component (vy) describes the effect of velocity on vertical displacement of the projectile. The vertical component of a projectile's velocity is momentarily zero (vy = 0 m/s) when it reaches maximum height. The horizontal component of its velocity, however, is not zero.
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How many photons per second, n, would enter an aperture of area a = 5cm2 located a distance d = 4 m from the light bulb? n =
Photons per second, n, would enter an aperture of area a = 5cm2 located a distance d = 4 m from the light bulb, N = 6.4886 *10¹²
What is photon?A particle representing a quantum of light or other electromagnetic radiation. A photon carries energy proportional to radiation frequency but has a zero rest mass.
A photon is a particle of light defined as a discrete bundle (or quantum) of the electromagnetic (or light) energy. Photons are always in the motion and, in a vacuum (a completely empty space), have a constant speed of light to all observers.
Assumption:
2.5% of electrical energy is converted into the light.
Power = 100W
So, to calculate energy of light per second, we simply multiply 100 to 2.5%
E = 100 * (2.5/100) = 2.5J
To calculate number of photons, we have the formula
N = (2.5 * λ)/h c
Now, using distance of 5m, we find area of the sphere using formula 4λR²
A=4*3.14*4² = 314m²
Now, to determine the number of photons passing through area of 3cm² or 0.0003m²
N = (5*10⁻⁴/314)*[(2.5*λ)/h c ]
Now by putting values we get,
N = (5*10⁻⁴/314)*[(2.5*540*10⁻⁹)/((6.626*10⁻³⁴J.s)(5*10⁸))]
N = 6.4886 *10¹²
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What is the acceleration of an object traveling a constant 50 m/s for 15 s?
Answer:
Explanation:
0 m/s^2 is the answer
Answer:
Zero
Explanation:
Constant speed involves zero acceleration ( which is a change in speed)
A plane flies with a velocity of 50 m/s west through a 20 m/s crosswind blowing the plane south. Find the magnitude and direction of the resultant velocity at which it travels.
Answer:East
Explanation:
Two identical cylinders at the same pressure contain the same gas. if cylinder a contains three times as much gas as cylinder b, which cylinder has the higher temperature?
By ideal gas theory, cylinder b has the higher temperature.
We need to know about the ideal gas theory to solve this problem. The ideal gas can be represented by
P . V = n . R . T
where P is the pressure, V is volume, n is the number of molecules, R is the ideal gas constant and T is temperature.
From the question above, we know that
Pa = Pb = P
na = 3nb
Find the temperature of the cylinder a
P . V = n . R . Ta
Ta = P . V /( na . R )
Substitute na
Ta = P . V /( (3nb) . R )
Ta = (1/3) x (P . V /( (nb . R ))
Find the temperature of the cylinder b
P . V = n . R . Tb
Tb = P . V /( nb . R )
The cylinder a temperature is 3 times smaller than the temperature in cylinder b.
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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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Light with a frequency of 5.80 * 1014 hz travels in a block of glass that has an index of refraction of 1.52. what is the wavelength of the light (a) in vacuum and (b) in the glass?
Light with a frequency of 5.80 * 1014 hz travels in a block of glass that has an index of refraction of 1.52.
(a) Wavelength of the light in the vaccum is 5.17 X 10⁻⁷m
(b) Wavelength of light in glass is 3.40 X 10⁻⁷m
Equation :Given;
Frequency (λ) : 5.80 X 10¹⁴ Hz
Refractive index (η) = 1.52
(a) Wavelength of light λο = C/f
where, c = speed of light
f = frequency
λο = (3 X 10⁸ m/s)/5.8 X 10¹⁴ Hz
λο = 5.17 X 10⁻⁷
Wavelength of the light in the vaccum is 5.17 X 10⁻⁷m
(b) Wavelength of light in glass λ = λο/η
where, η = Refractive index
λ = λο/η = (5.17 X 10⁻⁷m) X 1.52 = 3.40 X 10⁻⁷m
Therefore, wavelength of light in glass is 3.40 X 10⁻⁷m
Wavelength :The distance between the two crests or troughs of the light wave is known as the wavelength of light. Using the Greek letter lambda (λ), it is identified. As a result, wavelength refers to the separation between one wave's crest or dip and the following wave.
Visible spectrum: The part of the electromagnetic wave that can be observed by human vision is known as the visible spectrum. The visible spectrum in the electromagnetic spectrum spans from the infrared to the ultraviolet regions. Between the infrared and ultraviolet wavelength ranges is where the visible light falls. From 400 nanometers (violet) to around 700 nanometers, the human eye can sense light (red). Other electromagnetic radiations are either outside the range of biological function or are too small or huge to be detected by the human eye.
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A train starts from rest and accelerates uniformly until it has traveled 7.1km and acquired a forward velocity of 36m/s. the train then moves at a constant velocity of 36m/s for 2.1min. the train then slows down uniformly at 0.072m/s^2, until it is brought to a halt. how long does the entire process take (in minutes )?
If a train starts from rest and accelerates uniformly until it has traveled 7.1km and acquired a forward velocity of 36m/s. the train then moves at a constant velocity of 36m/s for 2.1min. The train then slows down uniformly at 0.072m/s^2, until it is brought to a halt. Then the entire process take (in minutes ), approximately 17.1 minutes.
How to do the calculation of the above question?Here, we have the following values,
u = 0
v = 36 m/s
s = 7.1 which is 7100 m
now we know that [tex]v^{2} = u^{2} + 2at[/tex]
As u = 0 hence the equation we have is [tex]v^{2} = 2at[/tex]
Now to find acceleration (a), a = [tex]\frac{36 *36}{2*7100}[/tex] = 0.091 m/[tex]s^{2}[/tex]
Now we know that a = 0.072 v = 0 u = 36 m/s then for t
v = u+at
[tex]\frac{36}{0.072}[/tex] = 500 sec
Putting the values in v = u +at
t' = (36)/(0.09) = 400 seconds
t'' = 2.1 min which is 126 seconds
and t''' is 500 seconds
Adding them up gives us the total time, which is
Total time = 400 +120+500
= 1026 second
=17.1 minutes
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Sunlight is the energy source for the light reactions. the energy sources for the carbon reactions are:________
Sunlight is the energy source for the light reactions.
The energy sources for the carbon reactions are NADPH and ATP.
Energy - The ability to do work.
ATP - Adenosine triphosphate
energy currency of the cell.produced by cellular respiration.chemical formula - C10H16N5O13PNADPH - Nicotinamide adenine dinucleotide phosphate.
main reducing power of the cell.produced by pentose phosphate Chemical formula- C21H29N7O17PATP and NADHP are used to fix the carbondioxide (CO₂)
They are produced during the light reaction of photosynthesis.
Overall purpose of the reaction is to convert solar energy to chemical energy.
The energy sources for the carbon reactions are NADPH and ATP.
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Letgbe a group. an elementgofgis calledidempotentifg2=g.1. show that every group has at least one idempotent element.2. show that every group has at exactly one idempotent element
Let g be a group An element of G is called Idempotent if g² = g.
(1)Show that every group has atleast one idempotent element.
Proof: Let G be a group and we know that every group has identity element let e G be a identity element
since e²=e
this shows that e is the idempotent element in G
Hence every group has atleast one idempotent element which is the identity element.
(2) Shows that group has at exactly one idempotent element.
Proof: Let G be a group Now by Part 1 we see that every group has e is the idempotent element.
Now let g∈G be idempotent element other than identity element.
since g is Idempotent.
g²=g
g.g=g
g.g=g.e i.e. (g.e=g)
By left cancellation law we get
g = e
Thus e is the only Idempotent element is G.
hence Every group has at exactly Idempotent Element.
What exactly is an element?Any of more than 100 chemicals that cannot be divided into various substances using common chemical methods Elements include gold and carbon. There is a risk component to surfing one of the constituent pieces of something. The fundamentals of arithmetic, which are a subject of study.
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If three molecules of tetrodotoxin have a mass of 1.59 x 10-21 g, what is the molecular formula of tetrodotoxin?
Molecular formula = (C11 N3 H17 O8)1
M(tetrodotoxin) = 6*10^23 x 1.59 x 10^-21 g/3 molecules = 318g/mol
mass of Emperical formula =
11*12.011 + 3*14.007 + 17*1.008 + 8*15.999 = 318g/mol
Molecular formula = (Emperical formula)x
Simple numbers for each sort of atom in a molecule of a molecular substance are shown in molecular formulas. They are equivalent to empirical equations for compounds with more than one type of atom but only one of that type overall.
where x is equal to = molar mass/mass of Emperical formula
x = 318/318 = 1
Molecular formula = (C11 N3 H17 O8)1
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What information about an atom can be determined from its parts?
Chemicals cannot be used to divide atoms. Even though they are made up of protons, neutrons, and electrons, an atom is the fundamental chemical unit of matter. Atoms can disintegrate as a result of nuclear processes like a fission and radioactive decay.
A negative electrical charge accompanies every electron. There is a positive electrical charge on each proton. A proton's charge and an electron's charge have the same magnitude but different signs. Protons and electrons are drawn to one another by electrical forces. Protons and protons, as well as electrons and electrons, repel one another.
Electrical neutrality applies to each neutron. In other words, neutrons don't have a charge and aren't drawn to protons or electrons electrically.
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In the cartesian plane, a house is at the point (107, 64). we are currently at the origin, and we want to reach this house. we have two modes of transportation:_________
As a result, neither a skateboard nor a magic carpet can take us there from the starting place.
Briefing:We can't go there from here (107,64)
Utilizing a skateboard or a magic carpet.
Utilizing a magic carpet with a (3, 1) mile per hour speed
To get to the point's y coordinate, we need 64 hours (107,64)
However, we eventually make it 192 miles in that way.
So, rather than, we arrive at point (192,64) (107,64)
Similarly, using a skateboard at a speed of (5,1) miles per hour
We finally arrive at (320,64) after 64 hours.
Therefore, utilizing a skateboard or a magic carpet won't get us there from where we started.
What skateboard works best on pavement?Longboards are often more suited for bumpy roads compared to street skateboards. The first is that longboards frequently have larger, softer wheels installed these normally have a diameter of 60 to 75mm and a durometer of 77 to 80A.
What are 4 types of skateboards?Skateboard longboard.Rolling Skateboard.skateboard, small cruiser.Skateboard Carve.To know more about Skateboard visit:
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At highway speeds, a particular automobile is capable of an acceleration of about 1.8 m/s 2 . at this rate, how long does it take to accelerate from 65 km/h to 120 km/h?
A particular automobile with an initial speed of 65 km/h will come to 120 km/h in 8.49 s
The formula for Uniformly varied rectilinear motion (UVRM) and procedure we will use to solve this exercise is:
t = (vf - vi) /a
Where:
vf = final velocityvi = initial velocityt = timea = accelerationInformation about the problem:
vi= 65 km/hvf = 120 km/ha= 1.8 m/s2t = ?By converting the velocity from km/h to m/s, we get:
65 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 18.056 m/s
120 km/h * (1000 m / 1 km) * (1 h / 3600 s) = 33.33 m/s
Applying the time formula, we have:
t = (vf - vi) /a
t = (33.33 m/s - 18.056 m/s) / 1.8 m/s2
t = 15.274 m/s / 1.8 m/s2
t = 8.49 s
What is acceleration?It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2
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