According to the current, the charge is 72,000 coulombs.
We need to know about current to solve this problem. Current can be defined as the flowrate of charge through the medium. It can be determined as
I = Q / t
where I is current, Q is charge and t is time.
From the question above, we know that
I = 10 A
h = 2 hours = 2 x 3600 second = 7200 second
By substituting the given parameters, we can calculate the charge
I = Q / t
10 = Q / 7200
Q = 72,000 coulombs
Hence, the charge is 72,000 coulombs.
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____ is a process by which organisms with characteristics suited to the environment will survive and reproduce.
Answer:
Natural selection is a process by which organisms with characteristics suited to the environment will survive and reproduce
HOPE IT'S HELPS YOUEnter your answer in the provided box.an empty vial weighs 63.28 g. if the vial weighs 436.33 g when filled with liquid mercury (d = 13.53 g/cm3), what volume of mercury is in the vial?
when filled with liquid mercury (density = 13.53 g/cm3) volume of mercury is in the vial is 88.41 cm3
Once you are aware of the mass of the mercury, you may calculate the volume of the vial by using the density of the mercury to determine its mass. You are aware that the vial including the mercury weighs 439.31 grams.
The vial weighs vial = 50.90 g.
This indicates that the mercury's mass will be 439.31 g - 50.90 g = 388.41 g.
You now understand that the density of mercury is 13.53 g/cm.
Density is the substance's mass per unit of volume. The symbol most often used for density is ρ although the Latin letter D can also be used.
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the lorentz contraction, l, is used in relativity to find the new length (or time) when an object approaches the speed of light. it is defined as
When an item procedures the rate of light. it's miles described as theory of relativity
In the theory of relativity, it implies that as a moving object approaches the speed of light, which is about 186,000 miles per second, the length of the object appears to shrink to zero, relative to the position of the observer.
Why is the Lorentz force independent of the frame of reference?Lorentz pressure is understood to be independent of body due to the fact because of the combine impact of electric and magnetic fields which is understood to be now no longer body structured as visible in Lorentz Transformation. This is the reason why we do not define electromagnetic fields, electric and magnetic fields together.
Note that Lorentz pressure is stated to be body impartial because dome of its components are acknowledged to return back up as a end result of shifting of body of reference, and this makes them to cancel every other out and therefore they make the resultant lorentz pressure same.
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a horizontal directed force of 252 n is needed to keep a 555-n box sliding on a level wooden floor at a constant speed. what is the coefficient of sliding friction μ?
The coefficient of sliding friction μ is 0.45
Frictional force
The frictional force is a force that prevents an object from sliding. The formula for calculating the frictional force is expressed asl
Ff = μR
where
μ is the required coefficient of friction
R is the normal reaction
Given the following parameters
Ff = 252N
R = 555N
substitute
μ = Ff//R
μ = 252/555
μ = 0.45
Hence the coefficient of sliding friction μ is 0.45
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sketch a velocity -time graph for a body thrown vertically upward to a maximum height
The velocity time graph for a body thrown vertically upward to a maximum height is given below:
What is velocity?
The pace at which an object's position changes as perceived from a particular point of view and as measured by a particular unit of time (for example, 60 km/h northbound) is defined as its velocity. Velocity is a fundamental concept in kinematics, the branch of classical mechanics that deals with the motion of bodies.
In order to be defined, the physical vector quantity known as velocity needs to have both a magnitude and a direction. Speed is a coherent derived unit whose quantity is measured in metres per second (m/s or m/s1) in the SI. Speed is the scalar absolute value (magnitude) of velocity (metric system). "5 metres per second," for example, is a scalar as opposed to "5 metres per second east," which is a vector.
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Which of the following toys are accelerating?
Select all that apply.
A.) a red wagon that is rolling straight along a sidewalk at a constant speed
B.) a stuffed Tyrannosaurus rex that is standing motionless on a shelf
C.) a toy boat that is moving faster and faster as it plunges down a small
waterfall
Answer:
C
Explanation:
This is right because answer c states that the boat is moving faster and faster. Therefore its accelerating.
Angela runs 30 minutes every day, but her 5k race time is staying the same, and she is not having fun anymore. What should she do to improve?
She should add diversity to her exercise program to keep her from getting bored or lazy.
Because if you are not having fun with it anymore then you stop doing it.Your weekly exercise running mileage should drop the week before the event. Your training now mostly focuses on "saving up" rest so that your legs are prepared for the marathon.
To keep your legs fresh throughout the week, fit in two to three quick runs with a few quick pick-ups—short, snappy portions that get your legs working faster and get you ready for the faster tempo of the race. Take a day off to completely rest two days before the marathon. Do a quick exercise(20-minute) run with up to five 45-second pick-ups the day before the race to tone your legs.
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After an average acceleration of 3.53 m/s2 during 2.01 s , a car reaches a velocity of 15.1 m/s . find the car's initial velocity.
8.01m/s
acceleration = 3.53 m/s2
Final velocity = 15.1 m/s
time = 2.01 s
initial velocity = ?
by applying kinematics equation
v = u + at
u = v-at
u = 15.1- 3.53 × 2.01
= 15.1 - 7.09
u = 8.01m/s
Kinematics is the branch of physics associated with the description of motionPosition is the location of an object (units: m)Velocity is the rate at which position changes with time (units: m/sec)Acceleration is the rate at which velocity changes with time (units: m/sec^2)Average Acceleration is the ratio of the change in velocity between two times and the time interval between them (units: m/sec^2)To know more about standard light intensity visit : https://brainly.com/question/7590442
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Please help! I’ve been doing this for 2 hours I want to be done!
Answer:
Both are chemical changesBoth conserve massExplanation:
a rigid tank is divided into two equal parts by a partition. one part of the tank contains 2.5 kg of compressed l
Complete question
A rigid tank is divided into two equal parts by a partition. One part of the tank contains 2.5 kg of compressed liquid water at 400 kPa and 60
60 ∘ C while the other part is evacuated. The partition is now removed, and the water expands to fill the entire tank. Determine the entropy change of water during this process, if the final pressure in the tank is 40 kPa.
Water expands to fill the entire tank. For a final pressure of 10 kPa, the final water temperature is 60°c and the tank volume is 2245.4.
The energy balance:
[tex]E_{in} -E_{out} =[/tex] Δ[tex]E_{system}[/tex]
So, therefore
0 = ΔU [tex]mm(u_{2} -u_{1} )[/tex]
[tex]u_{1} =u_{2}[/tex]
Water's characteristics are listed in tables A = 4 and A-6.
[tex]p_{1} = 600 kpa[/tex]
[tex]T_{1}[/tex] = 60°c
⇒ [tex]v_{1} = v_{f}[/tex]
⇒ 60°c = 0.001017
⇒ [tex]u_{1} =u_{f}[/tex]
⇒ 60°c = 251.16
Confirmed whether we receive quality between 0 and 1.
[tex]P_{2}[/tex] = 10kpa
[tex](u_{2}-u_{1} )[/tex]
We have [tex]v_{f}[/tex] = 0.001010,
v = 14.670
[tex]u_{f}[/tex] = 191.79,
[tex]v_{f}[/tex] = 2245.4
So, therefore, water expands to fill the whole tank. For a final pressure of 10 kPa, the very last water temperature is 60°c and the tank quantity is 2245.4.
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the speed of sound in air at room temperature is approximately 343 m/s. calculate this speed in miles per hour, given that 1 mi
The speed of sound in miles per hour is 767.33 miles/h when the speed of sound in air at room temperature is approximately 343 m/s.
What do you mean by speed of sound?The distance a sound wave travels through an elastic material in one unit of time is measured as its speed of sound. At 20 °C, the speed of sound in air is approximately 343 m/s, or 2.91 or 4.69 seconds for a mile.
The properties of the medium itself determine the speed of a sound wave because sound needs a medium to travel through (such as density, stiffness, and temperature). For every degree, the velocity of sound drops by roughly 6 meters per second. Compression waves, which at a small scale rely on molecules transmitting energy one to another, are used to convey sound through the air.
We are given that 1 mi = 1609 m.
Also we know that 1 hour = 3600 s
Therefore,
343m/s*3000s/h*(1/1609mi/h)=767.433mi/h
Thus, the speed of sound in miles per hour is 767.33 miles/h.
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when a man returns to his well-sealed house on a summer day, he finds that the house is at 35°c. he turns on the air conditioner, which cools the entire house to 20°c in 30 min. if the cop of the air-conditioning system is 2.8, determine the power drawn by the air conditioner. assume the entire mass within the house is equivalent to 80
Answer:
The power drawn by the air conditioner assuming the entire mass within the house is equivalent to 800 kg cv= 0.72 kJ/kgK and c_{p}cp = 1.0 kJ/kgK is 1.71 kW
Explanation:
The entire amount of heat that needs to be removed from the house is given by the expression:
QL = mCvT
m = mass = 800kg
dT = 35-20oC
QL = 800 * (0.72 Kj/Kb.oC) * 15
QL= 8640Kj
To calculate the average rate of heat removal from the house, we use
QL = Ql/dt
QL = 8640Kj/30*60
QL = 4.8 Kw
The total power input to the AC is calculated by;
Win = QL/COP
Substituting in the given value
Win = 4.8 Kw/2.8
Win = 1.71 Kw
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A basketball player jumps vertically off the ground 5.6m/s how long were they in the air?
A basketball player jumps vertically off the ground 5.6m/s how long were they in the air
His total time in the air is 0.58s.Given that
A basketball player jumps vertically off the ground 5.6m/sTo find
Total time in the air.So, according the question
We have,
preliminary velocity u = five.6 m/s
and acceleration due to gravity g = - 9.81 m/s² ( - signal for upward movement )
( ∴ basketball participant jumps vertically and he travelled inside the air on the action of gravity so we recall his acceleration as g. )
Now, from first equation of motion.
v = u + at
velocity at highest point will be zero so
v = 0 , u = 5.6 m/s and a = g = - 9.81 m/s²
Now, putting the all values on first equation of motion.
0 = 5.6 - 9.81 × t
-5.6 = -9.81 × t
[tex]t = \frac{5.6}{9.81}[/tex]
t = 0.58 s.
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this type of force is applied to a moving object. it causes the object to slow down or stop because it acts in the opposite direction of motion.
(I'm genuinely so confused, the notes the teacher gave us in class sucks, and he never responds to his emails.)
Energy must be transferred for motion, which is displacement, between the item and its system or environment. The energy's direction might either be toward or away from the object.
In your case, the energy must originate from the item itself in order for the force and subsequent movement to be in the opposite direction. For instance, rocket propulsion and jet engines. Propellers operate on a totally different mechanism that may be stated simply as "big pull, tiny push," therefore you cannot think of them in this way. Because they combine gasoline sparking to provide more thrust in turbojet engines (hence turbo).
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please answer cause im not sure thx
Answer: B
Explanation:
R=A+B
A goes south
B goes east
R=
A+B=
South+East=Southeast ==> B
Answer:
B
Explanation:
Vectors are drawn as lines with arrowheads on them.
Vectors can be added together by drawing the arrows nose to tail.
To add vectors A and B, place the tail of vector B at the nose of vector A (see attached diagram).
The single vector that goes from the start to the end of the combined vectors is called the resultant vector.
As R = A + B, then R is the resultant vector of A and B.
R starts at the tail of vector A and goes to the nose of vector B.
which of the following are the 2 postulates of relativity? (the other choices are consequences of relativity) a. the laws of nature are the same for all observers in uniform motion. b. the length of a moving object is not the same as when it is at rest. c. the speed of light is constant for all observers in uniform motion. d. two events that happen at the same time in one frame, can happen at different times in another frame. e. e
The correct answer is Option A and C.
The idea that the rules of physics are the same and can be expressed in their most basic form in all inertial frames of reference is the first postulate of special relativity. The assumption that the speed of light, or c, is a constant regardless of the source's relative motion is known as the second postulate of special relativity.
What are Albert Einstein postulates?
In all inertial reference frames, the rules of physics take the same form. Independent of the observer's speed, light moves across empty space at a specific speed (or source). The gravity formalism should be consistent with Newtonian gravity at low speeds.To learn more about postulates of relativity refer the link:
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the g string on a guitar is a 0.42-mmmm-diameter steel string with a linear density of 1.1 g/mg/m . when the string is properly tuned to 196 hzhz, the wave speed on the string is 250 m/sm/s. tuning is done by turning the tuning screw, which slowly tightens-and stretches-the string.
So, by 1.86 mm, the G string on guitar string stretches, when it is first turned which then slowly tightens and stretches the string while the string is properly tuned to 196 hz, then the wave speed on this string is 250 m/s.
What is wave speed?The amount of space that a wave covers in a certain amount of time, such as the number of meters it covers in a second, is known as its wave speed.
Speed = Wavelength x Frequency is the exact equation that describes how this wave speed can be related to wavelength and wave frequency. When the wavelength and frequency are known, this equation can be used to determine the wave speed.
What is the wave speed equation?Wave speed is calculated using the equation wavelength/ time period. Since the S.I. unit for time is the second and the unit for wavelength is the meter (s). M/s is the S.I. unit for wave speed.
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With what speed (in feet/second) must a ball be thrown vertically upward in order to rise to a height of 37.8 ft, neglecting air resistance?
The ball in order to rise to a height of 37.8 ft was launched with a speed of: 49.3158 ft
The formula for the vertical launch upward and the procedure we will use is:
y max = v₀²/(2*g)
Where:
v₀ = initial velocityg = gravityy max = maximum heightInformation about the problem:
g = 32.17 ft/s²y max= 37.8 ftv₀ = ?Applying the maximum height formula and clearing the initial velocity we get:
y max = v₀²/(2*g)
v₀ = √(y max * (2*g))
v₀ = √( 37.8 ft * (2 * 32.17 ft/s²))
v₀ = √( 37.8 ft * 64.34 ft/s²)
v₀ = √2432.052 ft²/s²
v₀ = 49.3158 ft
What is vertical launch upwards?In physics vertical launch upwards is the motion described by an object that has been launched vertically upwards in which the height and the effect of the earth's gravitational force on the launched object are taken into account.
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calculate the de broglie wavelength of a subatomic particle that is moving at 351 km/s, if its mass is 9.11 x 10–31 kg. λ
De Broglie wavelength of the subatomic particle is 0. 0020 * (10 )^ -3 nm.
What do you mean by a subatomic particle?Any of the multiple self-contained units of matter or energy that are the building blocks of all matter are considered subatomic particles, also known as elementary particles. They include the heavier constituents of the small but extremely dense atom's nucleus, the positively charged protons and the electrically neutral neutrons, as well as the electrons, the negatively charged, nearly massless particles that nonetheless make up the majority of the atom's size. The only known subatomic particles, however, are not these fundamental atomic building blocks. The electron is just one member of a class of fundamental particles that also includes the muon and the neutrino. Protons and neutrons, for example, are composed of quarks.
Let the De Broglie wavelength be Λ.
Λ = h/p
= (6.626 * 10^-34) / (351 * 9.11 * 10^-31)
Λ = 0.0020 * 10^-3 nm
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this problem checks that you understand the relationship between the electric field and the force felt by a test charge, latex: \vec{f}
This problem checks that we understand the relationship between the electric field and the force felt by a test charge. 3000 N/C is the magnitude of electric field at that point.
What do you mean by electric field?An electric field (sometimes E-field) is physical field that surrounds the electrically charged particles and exerts force on all the other charged particles in the field, either attracting or repelling them. It also refers to the physical field for a system of the charged particles. Electric fields originate from electric charges and the time-varying electric currents. Electric fields and magnetic fields are both manifestations of electromagnetic field, one of the four fundamental interactions (also called forces) of the nature.
Electric fields are important in the many areas of physics, and are exploited in electrical technology. In atomic physics and chemistry, for the instance, the electric field is the attractive force holding the atomic nucleus and electrons together in atoms. It is also force responsible for chemical bonding between atoms that result in molecules.
The electric field is defined as a vector field that associates to each point in the space the (electrostatic or Coulomb) force per unit of charge exerted on an infinitesimal positive test charge at rest at that point. The derived SI unit for electric field is the volt per meter (V/m), which is equal to the newton per coulomb (N/C).
Examples of the electric fields include the field produced in the dielectric of a parallel-plate capacitor (which creates an electrostatic field) and the electromagnetic wave produced by a radio broadcast monopole antenna (which creates a time-varying field).
The SI unit of electric field is volts per meter (V/m). This unit is equivalent to the Newton's per coulomb. These are derived units where Newton is a unit of force and Coulomb is the unit of the charge.
For the above question:
F= 6μN= 6*[tex]10^{-6}[/tex] and q= 2NC= 2*[tex]10^{-9}[/tex]c, E=?
we know that whenever a charge particle is in electric field experience a force of F= qE
Then |E|= |F|/q= 6*[tex]10^{-6}[/tex]/2*[tex]10^{-9}[/tex] N/C
=3*[tex]10^{3}[/tex] N/C= 3000 N/C
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an electric field has a positive test charge of 5.00 e−5 c placed in it. the force on the test charge is 0.600 n. the magnitude of the electric field at the location of the test charge is
The magnitude of the electric field at the location of the test charge is 15020 N C-1 or V m-1
We have to use F = E q
Given F = 0.751 N, q = 5*10-5 C
So required E = F /q = 0.751/5*10-5
The electric field at the location E = 15020 N C-1 or V m-1
A machine of charged debris is called having an electric powered subject, that's the physical discipline that surrounds electrically charged debris and exerts a force on all other charged particles within the subject, either attracting or repelling them. electric field costs and time-various electric currents are the building blocks of electric fields. one of the four fundamental interactions (also referred to as forces) of nature, the electromagnetic discipline, manifests itself in each electric and magnetic fields. electric powered fields are full-size in lots of branches of physics and are utilized in electrical generation. as an example, in atomic physics and chemistry, the electric area acts as an attractive force to hold atoms' atomic nuclei and electrons together.Find out more information about the electric field.
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In the metaphor of the bottle for theory of constraints, which part of the bottle represents the constraint?
In the metaphor of the bottle for theory of constraints, the part of the bottle represents the constraint is neck.
What is metaphor?A metaphor is a figure of the speech that describes an object or action in a way that isn’t literally true, but helps explain an idea or make a comparison.
Here are the basics:
A metaphor states that one thing is the another thing. It equates those two things not because they actually are the same, but for the sake of comparison or symbolism and if you take a metaphor literally, it will probably sound very strange (are there actually any sheep, black or otherwise, in your family?). Metaphors are used in the poetry, literature, and anytime someone wants to add some color to their language
The uses of metaphor, and the official definition:
A word or phrase for one thing that is used to refer to the another thing in order to show or suggest that they are similar
An object, activity, or idea that is used as a symbol of the something else
Metaphors are a form of the figurative language, which refers to words or expressions that mean something different from their literal definition. In the case of metaphors, literal interpretation would often be pretty silly.
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In the metaphor of the bottle for theory of constraints, the part of the bottle represents the constraint is neck.
What is metaphor?A metaphor is a figure of the speech that describes an object or action in a way that isn’t literally true, but helps explain an idea or make a comparison.
Here are the basics:
A metaphor states that one thing is the another thing. It equates those two things not because they actually are the same, but for the sake of comparison or symbolism and if you take a metaphor literally, it will probably sound very strange (are there actually any sheep, black or otherwise, in your family?). Metaphors are used in the poetry, literature, and anytime someone wants to add some color to their language
The uses of metaphor, and the official definition:
A word or phrase for one thing that is used to refer to the another thing in order to show or suggest that they are similar.
An object, activity, or idea that is used as a symbol of the something else
Metaphors are a form of the figurative language, which refers to words or expressions that mean something different from their literal definition. In the case of metaphors, literal interpretation would often be pretty silly.
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shot from a cannon in 1998, david "cannonball" smith set the distance record for being shot from a cannon (56.64 m). during a launch in the cannon’s barrel, his speed increased from zero to 80 km/h in 0.40 s. while he was being stopped by the catching net, his speed decreased from 80 km/h to zero with an average acceleration of 180 m/s2m/s2. what can you determine about smith’s flight using this information? homework
The final velocity of the cannon camera is 22m/s
This question informs us that David will depart on a voyage at his maximum speed. Consequently, the speed is 80 km/h. So we have to convert. At a 2 m/s rate, listen. We must multiply our number of 80 by the quantity of meters in a club in order to convert it to units. His final velocity therefore equals 22.2
a= v/ t = 56m/sec square dec acceleration = 80km/h converting into final velocity m /s sec its 22.2m/s
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Identify the circuit for a light fixture controlled by four switches, where flipping one of the switches turns the light on when it is off and turns it off when it is on.
the circuit for a light fixture controlled by four switches, where flipping one of the switches turns the light on when it is off and turns it off when it is on is given as: ([tex]\overline {x}[/tex]yzw) + (x[tex]\overline {y}[/tex]zw) + (xy[tex]\overline {z}[/tex]w) + (xyz[tex]\overline {w}[/tex])
Here, overlined x , y , z and w represents the switch of the circuit(see the image)
So if one of the four switches is flipped the light turn on when it is off and turns it off when it is on.
What is a circuit?A circuit in electronics is a fully enclosed circle through which electricity travels. A load, conductors, and a current source make up a basic circuit. Any fixed path that electricity, data, or a signal can go through can be referred to as a circuit in a broad sense.
Electrons in an electronic circuit leave the power source, move along conductors, pass through a load to do work, and then return to the power source. The circular course that the electrons take through it gives it the name "circuit." Ohm's Law provides a description of the connection between electrical flow and load. In a circuit, electrons move from the negative to the positive side of the power supply.
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a person travels by car from one city to another. she drives for 27.6 min at 62.7 km/h, 9.6 min at 115 km/h, 46.1 min at 45.2 km/h, and spends 12.3 min along the way eating lunch and buying gas.
The total distance between the cities is 60.1 Km.
We have a person driving between cities.
We have to calculate the distance between the cities.
What is the formula to calculate Distance travelled ?The formula to calculate the distance travelled is -
D = speed x time = v x t
According to the question -
When she drives at 62.7 km/h, her distance travelled will be -
d(1) = 62.7 x (27.6 / 60) = 28.8 Km
When she drives at 115 km/h, her distance travelled will be -
d(2) = 115 x (9.6 / 60) = 18.4 Km
When she drives at 45.2 km/h, her distance travelled will be -
d(3) = 62.7 x (12.3 / 60) = 12.9 Km
The total distance between the cities -
D = d(1) + d(2) + d(3) = 28.8 + 18.4 + 12.9 = 60.1 Km
Hence, the total distance between the cities is 60.1 Km.
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[ The given question is incomplete. You can access complete question down below -
" a person travels by car from one city to another. she drives for 27.6 min at 62.7 km/h, 9.6 min at 115 km/h, 46.1 min at 45.2 km/h, and spends 12.3 min along the way eating lunch and buying gas. Determine the distance between the cities along this route. ]
acceleration is sometimes expressed in multiples of g, where is the acceleration due to the earth's gravity. in a car crash, the car's velocity may go from 20 m/s to 0 m/s in 0.067 s how many g's are experienced, on average, by the driver? (answer with just the number)
The g’s experienced by the driver will be 30.45 g.
The above is a case of uniformly accelerated motion.
So we have to use one of the following equations to solve it,
v = u + at
v^2 - u^2 = 2as
s = ut + 1/2t^2
As we are given the final velocity, initial velocity and the time, therefore the first equation is appropriate.
v = u+ at
Putting v = 0 m/s
u = 20 m/s
t = 0.067 s
0 = 20 + at
The acceleration comes out to be 298.50 m/s^2.
As g = 9.8 m/s^2, dividing the value of acceleration by 9.8 will give the value of g experienced by the driver.
A = 298.50/9.8 = 30.45g m/s^2.
Hence, The g’s experienced by the driver will be 30.45 g.
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If the subsolar point is moving from the equator towards the tropic of cancer, what season of the year is it?
Subsolar point is moving from the equator towards the tropic of cancer the season will be spring.
What is subsolar point?The sun seems to be directly above a planet at this moment, or when the sun's rays are exactly perpendicular to the planet's surface. It can also refer to the area on an astronomical object that is closest to the sun, even if the sun might not be visible.
The subsolar point is the latitude where the sun's rays exactly intersect the Earth's surface perpendicularly. It is the area where the sun is above at noon.
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What two factors determine the speed of a transverse wave? Explain how these two factors affect the speed of the wave.
Linear mass density and tension are the two factors on which the speed of the transverse waves on a string depends.
The square root of the linear mass density determines the speed of a wave on a string, with larger speeds occurring when the linear mass density is lower.
The linear density divided by the square root of the tension determines the wave's speed on a taut string.
The qualities of the medium affect a wave's speed. For instance, the sound of a guitar is created by the vibration of the strings. The wavelength and wave speed on the strings influence the frequency of the sound that is produced. A guitar's strings can be composed of materials that are similar in composition but varied in thickness.
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At the position of the stop-light 4 s after the light had turned green. what is the slowest constant speed which the green car can maintain and still catch up to the blue car? answer in units o
The green car must travel at least 3 m/s in order to catch up to the blue car.
The blue automobile might go slower if the green car is moving faster than it is at the point where the distance between them equals 0. Furthermore, the green automobile will never catch up to the blue car if the blue car moves faster than the green car before they collide.
The blue car's speed as a function of time is given by v(T) = 0.3T. The equation for the position of the green automobile can be rewritten as g(T) = (T-5) *0.3T given the justification for the ideal speed. Set the equations to be equal to one another since we want the distance between the green and blue automobiles to be the same. (T-5) *0.3T = 0.15*T^2 Then, calculate T (T-5) *0.3T = 0.15*T2, where 0.3T2 - 1.5T equals 0.15T2 and 1.5T - 0.15T2 = 0. Our quadratic equation now has the values A = 0.15, B = -1.5, and C = 0.
To determine the roots, which are -4.5 and 10, use the quadratic formula. The interception will happen at T=10 because the number of 10 implies that it will, hence the velocity must be v(T) = 0.3T v (10) = 0.3*10 = 3 m/s. The green car must travel at least 3 m/s in order to catch up to the blue car.
The complete question is- A blue car pulls away from a red stop-light just after it has turned green with a constant acceleration of 0.2 m/s². A green car arrives at the position of the stop-light 7.5 s after the light had turned green. What is the slowest constant speed which the green car can maintain and still catch up to the blue car? Answer in units of m/s.
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3. a volleyball player lands from a jump and tries to stop her forward motion. the normal contact force exerted by the floor on her shoes is 2000 n. the friction force exerted by the floor on her shoes is 400 n acting backward on the player. what is the resultant ground reaction force exerted by the floor on the volleyball player's shoes? (2 points)
Both are perpendicular to each other so resultant ground reaction force exerted by the floor on the volleyball player's shoes
=2088N approx
What is motion?In physics, movement is the phenomenon wherein an item adjustments its function with appreciate to time. Motion is mathematically defined in phrases of displacement, distance, velocity, acceleration, speed and body of reference to an observer and measuring the extrade in function of the frame relative to that body with extrade in time. The department of physics describing the movement of items with out connection with its reason is called kinematics, at the same time as the department reading forces and their impact on movement is called dynamics. If an item isn't converting relative to a given body of reference, the item is stated to be at rest, motionless, immobile, stationary, or to have a steady or time-invariant function close to its surroundings. Modern physics holds that, as there's no absolute body of reference, Newton's idea of absolute movement can't be determined. As such, the whole thing within side the universe may be taken into consideration to be in movement.
Friction force=600 N
The normal contact force exerted by the floor on her shoes = 2000 N
Botha are perpendicular to each other so resultant ground reaction force exerted by the floor on the volleyball player's shoes=((600)^2+(2000)^2)^0.5=2088.06130178N
=2088N approx
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