When a proton slows from 0. 8c up to 0. 6c, it’s kinetic energy decreases by what factor of 1/4.
Kinetic energy of a proton having a charge Q and Voltage V is given by:
Kinetic energy = Q×V
Where, Q is the charge
V is the Voltage
Kinetic energy is directly proportional to the charge on a proton.
Let the kinetic energy of proton having charge 0.8C be KE₁ and kinetic energy of proton having charge 0.6C be KE₂
Hence KE₁ = 0.8 × V
KE₂ = 0.6 × V
Now, KE₁ / KE₂ = 0.8 V / 0.6 V
⇒ KE₁ / KE₂ = 4 / 3
⇒ KE₂ / KE₁ = 3/4
⇒ KE₂ = 3/4 times KE₁
Hence, the final kinetic energy becomes 3/4 times the initial kinetic energy.
The kinetic energy decreases by a factor of:
Change = KE₁ - KE₂
Change = KE₁ - 3/4KE₁
Change = 1/4 KE₁
Hence, the kinetic energy decreases by a factor of 1/4
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Why do we use the halfway-mark as a point of comparison rather than at the point which all the disks are floating?
We use the halfway mark as a point of comparison rather than at the point at which all the disks are floating because If the experiment were to be repeated, we would require a set of reference points.
The net rates of photosynthesis can be compared at the point where half the initial number of disks are floating. The time it takes for half of the disks to float reduces as the net rate of photosynthesis rises, showing an inverse relationship between the value and the net rate.
As photosynthesis develops, oxygen is delivered into the leaf's interior, changing the buoyancy and raising the disks. The rate at which the disks increase is an indirect indicator of the net rate of photosynthesis because cellular respiration, which uses oxygen, is occurring concurrently.
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Consider a standing wave on a string. What is the distance between two adjacent nodes in terms of the wavelength λ of the standing wave?.
The distance between the two adjacent nodes = λ/2.
What is Wavelength?The length over which a wave's shape repeats is known as its spatial period, or wavelength. It is a characteristic of various spatial wave patterns as well as travelling and standing waves. It is the separation between two consecutive positions on a wave that correspond to the same phase, such as two close-by crests, troughs, or zero crossings. The reciprocal of wavelength is the spatial frequency. Wavelength is usually denoted by the Greek letter lambda (λ). Sometimes, modulated waves, their sinusoidal envelopes, or waves generated by the interference of several sinusoids are all referred to by the term wavelength.The distance between the two adjacent nodes = λ/2.
for the standing wave ,the distance between any two adjacent nodes or antinodes is 1/2 λ.
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What function does the prism or diffraction grating perform in a spectrophotometer?
In a spectrophotometer, a prism or diffraction grating separates light into its constituent wavelengths.
To find the answer, we need to know more about the spectrometer.
What is spectrometer?A spectrometer measures the light refracted by the optical component into its various colors (wavelengths).prism is a dispersive component The dispersion happens because the angle of refraction is influenced by the material's refractive index, which is marginally influenced by the wavelength of light passing through the prism.An optical component called a diffraction grating splits (disperses) polychromatic light into its individual wavelengths (colors). Each wavelength of the polychromatic light that strikes the grating is scattered, reflecting from it at a slightly different angle.Thus, we can conclude that, In a spectrophotometer, a prism or diffraction grating separates light into its constituent wavelengths.
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Electrolysis can be used to purify silver. What mass of silver would plate onto the pure electrode if a current of 6. 8 a flowed through the cell for 72 minutes?
32.88grams of (Ag) silver would plate onto the pure electrode if a current of 6. 8A flowed through the cell for 72 minutes.
Silver can be electroplated at the cathode of an electrolysis cell by the half-reaction:
Ag+(aq)+e→Ag(s).
By Using the equation
Q= I×t, where Q = charge
I = current = 6.8 A
t= time in seconds= 72×60=4320s
So,
Q=6.8×4320
Q = 29,376C
We see that 1 mole of electrons produces 1 mole of Ag from the half reaction.
1mole of electrons= 96,500C
xmoles of electrons= 29,376C
Cross multiplying;
29,376= 96,500 × x
Now , dividing both sides of the by 96,500
29,376/96,500=x
0.3044 moles of electrons will produce
0.3044×108 = 32.88grams of Ag
Therefore, 32.88grams of (Ag) silver would plate onto the pure electrode if a current of 6. 8A flowed through the cell for 72 minutes.
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A current of 0. 82 a flows through a light bulb. how much charge passes through the light bulb during 94 s?
A current of 0. 82A flows through a light bulb. The charge passed through the light bulb during 94 s is 77.08C
The amount of charge flown for a given period of time determines the current passed through a bulb or electrical body.
The relation between the charge, current and time is given as:
Q = I × t
where, Q is the charge flown through bulb
I is the current passed through bulb
t is the time for which charge passes through bulb
Given,
I = 0.82A
t = 94s
Q = ?
Substituting the values in the above formula:
Q = I × t
Q = 0.82 × 94
Q = 77.08C
Hence, The charge passed through the light bulb during 94 s is 77.08C
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A circuit has a voltage drop of 24.0 V across a 30.0 ohm Resistor that carries a current of 0. 800 A what is the power conducted by the resistor ? Use P =VI
The power conducted by the resistor, given that it carries a current of 0.8 A is 19.2 Watts
What is power?Mechanical Power can be defined as the rate at which energy is consumed. This is also true for Electrical power, since it gives an expressing of the rate in which Electrical energy is consumed. Electrical power is expressed mathematically as:
Power (P) = voltage (V) × current (I)
P = IV
With the above formula, we can determine the power as illustrated below:
How to determine the powerfrom the question given above, the following data were obtained:
Voltage (V) = 24 VResistor (R) = 30 ohmsCurrent (I) = 0.8 APower (P) =?Power (P) = voltage (V) × current (I)
P = IV
P = 24 × 0.8
P = 19.2 watts
Thus, the power conducted by the resistor which carries the current of 0.8 A is 19.2 Watts
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The henry's law constant for n2 is 6. 2×10−4matm at 25∘c. what pressure of nitrogen is needed to maintain a n2 concentration of 0. 53 m?
The pressure of nitrogen which is needed to maintain a N2 concentration of 0. 53 m is 3.2 × 10^(4).
What is pressure?It is defined as the continuous physical force applied on or against an object by something which is in contact with it.
It is also defined as the force per unit area.
What is henry's law?The henry law constant is thr ratio of the partial pressure of compound in air to the concentration of compound in water at given temperature.
C= kp
where,
C is the concentration of compound = 0.53m
k is the henry constant = 6. 2×10−4matm
p is the pressure of compound
By substituting all the value we get,
C = 6. 2×10−4 × p
0.53 = 6. 2×10−4 × p
p = 0.53/6. 2×10−4
p = 3.2 × 10^(4)
Thus we find that the pressure needed to maintain a N2 concentration of 0. 53 m is 3.2 × 10^(4).
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Will a beam of light that is, at first, in air and oriented perpendicular to the surface of a body of water be deflected as a result of the transition into water?.
When a beam of light that is, at first, in air and oriented perpendicular to the surface of a body of water be deflected as a result of transition into water--------It does not deflect , the light direction will not change.
What happens to light when it passes through air?
All materials have what is known as an index of refraction, which is linked to how fast light can travel through the material. As light passes through air and into another clear material (such as glass), it changes speed, and light is both reflected and refracted by the glass.
How does light travel through air and water?
When light travels from air into water, it slows down, causing it to change direction slightly. This change of direction is called refraction. When light enters a more dense substance (higher refractive index), it 'bends' more towards the normal line.
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Safety belts and occupant protection systems are installed to reduce the harmful effects of the force of _____ during a collision.
To lessen the negative impacts of the force generated during a collision, safety belts and occupant protective relays are installed.
Importance of safety belts:
The purpose of a seat belt usually referred to as a safety belt or a safety belt, is to protect the driver or an occupant of a vehicle from a potentially dangerous movement that may occur during an accident or an abrupt stop. By minimizing the power of secondary hits with interior striking hazards, maintaining proper occupant positioning for the airbag, and preventing people from being expelled from the vehicle after an accident or if the automobile rolls over, seat belts help minimize the chance of a fatal accident in traffic collisions. When the car is moving, the passenger and the driver move together with it at the same pace.The occupants continue moving at the same pace the vehicle was traveling at when it stopped if it unexpectedly stops or crashes. To stop the driver and other passengers from exiting the vehicle or contacting the interiors of the vehicle, seatbelts apply an equal and opposite force to them. Due to their crucial function in occupant safety, seatbelts are regarded as the main restraint devices.Learn more about safety belts here:
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Which gear combination would you like to use when you want to pedal with as few strokes as possible and have your wheels turn as many times as possible
Which two fundamental forces act within an atom’s nucleus? the gravitational force the electromagnetic force the strong nuclear force the weak nuclear force the electric force
The two fundamental forces act within an atom’s nucleus include the strong nuclear force and the weak nuclear force.
What are the fundamental forces of atoms nucleus?.The fundamental forces of atoms nucleus are the forces that act within the nucleus of an atom which include the following:
The strong nuclear forces: These are the forces that enhances the binding of the nucleus together.The weak nuclear forces:. These are the forces that are responsible for nuclear decay.Therefore, the two fundamental forces act within an atom’s nucleus include the strong nuclear force and the weak nuclear force.
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The algol binary system consists of a b main-sequence star with a mass of 3.7 m? and a k subgiant star with a mass of 0.81 m?. why, at first, did this puzzle astronomers?
The lower-mass star should have developed into a giant star.
What is Algo Binary System?Algol variables, also known as Algol-type binaries, are a subclass of eclipsing binary stars that resemble Persei, the class's prototype star (Beta Persei, Algol). An Algol binary is a system in which both stars are almost spherical, making it possible to precisely predict when the eclipses would begin and conclude. Usually, the primary is a main-sequence star that is located close to its Roche lobe. The secondary star might be either an evolved star occupying its Roche lobe, known as a semidetached binary, or it could be a main sequence star, known as a detached binary.
eclipsing variable stars-
One of the most well-known variable stars in the sky, Algol serves as the model for the Algol variables class of eclipsing variable stars. A B-class main sequence star, an orange subgiant, and a faint A-class star make up the triple star system known as Beta Persei Aa1, Aa2, and Ab.
The lower-mass star should have developed into a giant star first, followed by the higher-mass B main-sequence star.
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A consequence of more mass having more inertia is that _____ is required to bring the helicopter to the same speed as the bullet.
Answer:
The answer to your question is more force
Explanation:
A consequence of more mass having more inertia is that more force is required to bring the helicopter to the same speed as the bullet
I hope this helps and have a good day!
A light wave moves from diamond (n= 2.4) into water (n= 1.33) at an angleof 24°. what angle does it have in water?
Answer:
n1 sin θ1 = n2 sin θ2 Snell's Law (θ1 is the angle of incidence)
sin θ2 = n1 / n2 * sin θ1
sin θ2 = 2.4 / 1.33 * sin θ1
sin θ2 = 1.80 * .407 = .734
θ2 = 47.2 deg
current is passed through two parallel conductors in the same direction. If the conductors are placed near each other,they will
If current is passed through two parallel conductors in the same direction and the conductors are placed near each other, they will attract each other.
What is electric current?Electric current can be defined as the flow of electrons.
Since electrons are easily removed from atom and are very mobile, the flow of electrons constitute an electric current.
Materials which allow electric current to flow through them are known as conductors. Examples of conductors are metals, and electrolytes.
On the other hand, materials which do not allow electric current to pass through them are known as insulators. Examples of insulators are wood and rubber.
The flow of current is known as electricity.
Parallel conductors with current flowing through them in the same direction are attracted to each other as a result of a magnetic field produced by the flow of current.
In conclusion, conductors allow electric current to pass through and the flow of current through a conductor produces a magnetic field.
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a man uses a 90 watt electric iron to press his clothes for an average of 4 hours a wpeek for five weeks if the cost of an electrical energy is acceptable per unit calculate the cost of energy for present
The cost of energy for pressing is 54 Kobo.
Units of electricity are measured in kilowatt-hours (kWh).
900-watt electric iron
Appliance usage = 4 hours a week for 5 weeks
The unit cost of electricity = 3 Kobo per kWh
Convert the wattage of the electric iron from watts to kilowatts.
1000 watts (W) = 1 kilowatt (kW)
⇒ 900 watts = 1 ÷ 1000 = 0.9 kilowatts
This means that the power consumption of the electric iron is 0.9 kW per hour of use.
Total hours spent pressing clothes:
= 4 hours per week for 5 weeks
= 4 × 5
= 20 hours
Total power consumption:
= number of kW × number of hours
= 0.9 × 20
= 18 kWh
To find the total cost, multiply the total kWh by the cost per kWh:
⇒ Cost = 18 × 3 = 54 Kobo
Therefore, the cost of energy is 54 Kobo
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The complete question is:
A man uses a 900-watt electric iron to press his clothes for an average of 4 hours a week for five weeks if the cost of electric energy is 3 Kobo per unit calculate the cost of electric energy for pressing.
At what temperature must a hot reservoir operate in order to achieve a 30arnot efficiency when the cold reservoir operates at 200 °c?
At temperature 402.71° C must a hot reservoir operate in order to achieve a 30% Carnot efficiency when the cold reservoir operates at 200 °C.
The Carnot engine is a theoretical thermodynamic cycle proposed by Leonard Carnot. It estimates the maximum possible efficiency that a heat engine during the conversion process of heat into work and, conversely, working between two reservoirs can possess.
The Carnot efficiency depends only on the temperature of the hot source and the cold sink. Carnot efficiency describes the maximum thermal efficiency that a heat engine can achieve as permitted by the Second Law of Thermodynamics.
Given
Efficiency = 30 %
T2 = absolute temperature of the heat source = T2
T1 = absolute temperature of the heat sink = 200 °C
efficiency = T2 - T1 / T2
30 /100= T2 - 200 / T2
T2 = 675.71° K
T2 = 402.71° C
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If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0. 7, what is the probability that out of 8 new hired people?
The required probabilities are calculated by using the binomial distribution formula as below:
a. The probability that 5 will still be with the company after 1 year is P(x = 5) = 0.2541
b. The probability that 5 or more still be with the company after 1 year is 0.8057.
What is the binomial distribution formula?The binomial distribution formula for finding the required probability of a random variable is
[tex]P(X = r) = _nC_rp^rq^{n-r}[/tex]
Where
[tex]_nC_r = \frac{n!}{r!(n-r)!}[/tex]
p = probability of success
q = 1 - p = probability of failure
n = total number of trials
r = number of trials chosen
Calculation:It is given that,
n = 8 and p = 0.7
Then, q = 1 - 0.7 = 0.3
a. The probability that 5 will still be with the company after 1 year:
P(X = 5) = [tex]_8C_5[/tex] (0.7)⁵(0.3)⁸⁻⁵
⇒ [tex]\frac{8!}{5!(8-5)!}[/tex] (0.7)⁵(0.3)³
⇒ 0.2541
Therefore, the probability P(x = 5) is 0.254.
b. The probability that 5 or more still be with the company after 1 year:
More than 5 means 6, 7, and 8
So,
P(X = 6) = [tex]_8C_6[/tex] (0.7)⁶(0.3)⁸⁻⁶
⇒ [tex]\frac{8!}{6!(8-6)!}[/tex] (0.7)⁶(0.3)²
⇒ 0.2964
P(X = 7) = [tex]_8C_7[/tex] (0.7)⁷(0.3)⁸⁻⁷
⇒ [tex]\frac{8!}{7!(8-7)!}[/tex] (0.7)⁷(0.3)¹
⇒ 0.1976
P(X = 8) = [tex]_8C_8[/tex] (0.7)⁸(0.3)⁸⁻⁸
⇒ [tex]\frac{8!}{8!(8-8)!}[/tex] (0.7)⁸(0.3)⁰
⇒ 0.0576
Thus, the probability that 5 or more still be with the company after 1 year
= P(5) + P(6) + P(7) + P(8)
= 0.2541 + 0.2964 + 0.1976 + 0.0576
= 0.8057.
Therefore, the required probabilities are 0.2541 and 0.8057.
Disclaimer: The question given in the portal is incomplete. Here is the complete question.
Question: If the probability of a new employee in a fast-food chain still being with the company at the end of the year is 0. 7, what is the probability that out of 8 new hired people:
a. 5 will still be with the company after 1 year?
b. 5 or more still be with the company after 1 year?
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Light has been measured as traveling at 3×108 m/s in a vacuum. Which of the following also travels at the speed of light, and why?
A
Ultrasound waves in a vacuum travel at the speed of light because there is no matter to reduce their speed.
B
Radio waves in a vacuum travel at the speed of light because they are a type of electromagnetic radiation like light.
C
Electrons in a current carrying wire travel at the speed of light because they have very little mass.
D
Gas particles at the center of an atomic explosion travel at the speed of light because the explosion creates an extreme outward force.
Radio waves in a vacuum travel at the speed of light because they are a type of electromagnetic radiation like a light has been measured as traveling at 3×10^8 m/s in a vacuum.
Charged particles that are accelerating, like time-varying electric currents, are what produce radio waves. Radio and television signals are transmitted using radio waves, and microwaves used in radar and microwave ovens are also radio waves. Radio waves are emitted by a lot of celestial bodies, including pulsars. High RF exposure levels have the potential to heat biological tissue and raise body temperature. The body's inability to handle or remove the extra heat that could be generated by high RF exposure in humans could result in tissue damage.
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What is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice?
What is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice is national provider identifier (NPI).
What is national provider identifier (NPI)?A National Provider Identifier is a unique 10-digit identification number issued to health care providers in the United States by the Centers for Medicare and Medicaid Services.
What is block 24j?The box 24j Shaded is used to identify the non-NPI if indicated by a qualifier in 24i.
The box 24j displays the NPI of the Rendering Provider.
Thus, what is entered in block 24j of the cms-1500 claim if the provider is a member of a group practice is national provider identifier (NPI).
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Heat is transferred from the sun-warmed surface of earth to the cooler overlying troposphere via _______
Heat is transferred from the sun-warmed surface of the earth to the cooler overlying troposphere via conduction.
Heat transfer from earth to atmosphere:Conduction, convection, latent heating, and water phase transitions all help to carry heat from the Earth's surface, which has been warmed by the Sun, to the cooler troposphere above.
Latent heat flux is the worldwide transfer of latent heat energy via water and air currents. Here, we demonstrate how air circulation transports latent heat energy horizontally to cooler regions, where it condenses into rain or is deposited as snow, releasing the heat energy that was previously trapped there.
When air is heated from below by sunshine or by coming into contact with a warmer land or sea surface, convection occurs and the air below becomes less dense than the air above.
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Will a beam of light that is, at first, in air and oriented perpendicular to the surface of a body of water be deflected as a result of the transition into water?.
It does not deflect, the light's direction will not change
When a light ray is incident from a medium such as air onto a more dense medium such as glass or water, the refracted ray always lies closer to the perpendicular than does the incident ray.
What happen when light ray passes from one medium to another ?Refraction occurs when light travels from one medium to another which changes the speed at which the light travels. This causes light to bend upon incidence with the interface of a new material.
The frequency of the light ray remains same when it travels from one medium to another because it depends on the source of light. But the wavelength and speed vary because they depend on the medium through which the light passes.Learn more about Light ray here:
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The ________ explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.
The nebular hypothesis explains how our solar system probably formed from a giant cloud of gases and dispersed solid particles.
The nebular hypothesis has the sun and planets forming at the same time. According to this model, our solar system began as a gigantic, disc-shaped interstellar cloud of gases and dust about 5 or 6 billion years ago .What hypothesis explains how our solar system probably formed?
The nebular hypothesis is the theory of planetary creation that is most widely accepted. According to this theory, the Solar System was created 4.6 billion years ago as a result of the gravitational collapse of a massive molecular cloud that stretched across several light-years.What is the nebular theory ?
4.6 billion years ago, the solar nebula, a cloud of gas and dust, gave rise to the Sun and the planets. The collapse of the solar nebula was most likely brought on by a shock wave from a nearby supernova explosion. The planets formed in a thin disk around the Sun, which formed in the center of the solar system.Learn more about nebular hypothesis
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A 1200 kg car passes traffic light at a velocity of 10.2 m/s to the north and accelerates at a rate of 2.45 m/s^2. Calculate the car’s momentum after 4.21 s.
The car’s momentum after 4.21s is 24617.4 kgm/s
Newton's Second Law of Motion.Newton's second law state that, the rate of change of momentum, is directly proportional to the applied force.
Given that a 1200 kg car passes traffic light at a velocity of 10.2 m/s to the north and accelerates at a rate of 2.45 m/s^2. To calculate the car’s momentum after 4.21 s, Let us first list all the parameters involved.
Velocity u = 10.2 m/sAcceleration a = 2.45 m/s²Mass m = 1200KgTime t = 4.21 sFrom Newton's second law,
F = (mv - mu) / t
ma = (mv - mu) / t
Substitute all the parameters into the formula above.
1200 × 2.45 = ( mv - 1200 × 10.2 ) / 4.21
2940 = ( mv - 12240 ) / 4.21
Cross multiply
12377.4 = mv - 12240
Make mv the subject of the formula
mv = 12377.4 + 12240
mv = 24617.4 kgm/s
Therefore, the car’s momentum after 4.21s is 24617.4 kgm/s
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The 10-lb block has a speed of 4 ft/s when the force of f=(8t2)f=(8t2) lb is applied. determine the velocity of the block when t == 2 s. the coefficient of kinetic friction at the surface is μk=0. 2?
The velocity of the block when t == 2 s is 60.7 ft./sec.
Equations of Motion.
Here the friction is [tex]F_f = \mu_k N[/tex] = 0.2 N
[tex]+ \uparrow \sum F_y = ma_y; \quad N – 10 = \frac { 10 } { 32.2 }(0) \quad N = 10 lb \\ \begin{aligned} \underrightarrow{ + } \sum F_x = ma_x; \quad 8t^2 – 0.2(10 &) = \frac { 10 } { 32.2 }a \\ & a = 3.22(8t^2 – 2) ft/s^2 \end{aligned}[/tex]
Kinematics.
The velocity of the block as a function of t can be determined by
integrating dv = adt using the initial condition v = 4 ft./s at t = 0.
[tex]\int_{ 4 ft/s }^{ v } dv = \int_0^t 3.22(8t^2 – 2)dt \\ \begin{aligned} v – &4 = 3.22 (\frac 8 3 t^3 – 2t) \\ & v = \{8.5867t^3 – 6.44t + 4 \} ft/s \end{aligned}[/tex]
The displacement as a function of t can be determined by integrating
ds = vdt using
the initial condition s = 0 at t = 0
[tex]\int_0^s ds = \int_0^t (8.5867t^3 – 6.44t + 4)dt \\ s = \{2.1467t^4 – 3.22t^2 + 4t \} ft[/tex]
at t = 2 sec
s = 30 ft.
Thus, at s = 30 ft.,
[tex]\begin{aligned} v &= 8.5867(2.0089^3) – 6.44(2.0089) + 4 \\ &= 60.67 ft/s \\ &= 60.7 ft/s \end{aligned}[/tex]
Kinematics is a subfield of physics, developed in classical mechanics, that describes the motion of points, bodies (objects), and systems of bodies (groups of objects) without considering the forces that cause them to move.
Kinematics, as a field of study, is often referred to as the "geometry of motion" and is occasionally seen as a branch of mathematics. A kinematics problem begins by describing the geometry of the system and declaring the initial conditions of any known values of position, velocity and/or acceleration of points within the system.
Then, using arguments from geometry, the position, velocity and acceleration of any unknown parts of the system can be determined. The study of how forces act on bodies falls within kinetics, not kinematics. For further details, see analytical dynamics.
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When a substance changes from one type of matter into another, such as two or more substances combining to form compounds, the substance undergoes a:_________
When a substance changes from one type of matter into another, such as two or more substances combining to form compounds, the substance undergoes a: chemical reaction
Chemical reaction, a process in which one or more substances, the reactants, are converted to one or more different substances, the products.
Chemical changes occur when a substance combines with another to form a new substance, called chemical synthesis or, alternatively, chemical decomposition into two or more different substances. These processes are called chemical reactions and, in general, are not reversible except by further chemical reactions.
Whereas , When matter undergoes physical change, it doesn't become a different substance. Therefore, physical changes are often easy to reverse.
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How does position depend on time on a free falling motion, for short distance, near the surface of the earth?
Answer:
if an object is in free fall for a longer time its position will increase at an exponential rate because the object is accelerating
What did you observe when placing the small coil in the middle of the larger coil?
With more turns of wire within the coil, the greater the strength of the static magnetic field around it.
Electromagnetic induction uses the relationship between electricity and magnetism whereby an electric current flowing through a single wire will produce a magnetic field around it. If the wire is wound into a coil, the magnetic field is greatly intensified producing a static magnetic field around itself forming the shape of a bar magnet giving a distinct North and South pole.
Likewise, if we kept the bar magnet stationary and moved the coil back and forth within the magnetic field an electric current would be induced in the coil. Then by either moving the wire or changing the magnetic field we can induce a voltage and current within the coil and this process is known as Electromagnetic Induction and is the basic principle of operation of transformers, motors and generators.
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Calculate a 90onfidence interval for a sample mean of 15 with a sample standard deviation of 5 and a sample size of 25. the answer should be accurate to the nearest decimal. given t = 1.711.
The confidence interval for the given sample will be 15±1.711.
The confidence interval for the given sample will be 15±1.711.
To find the answer, we have to know about the confidence interval.
How to find the confidence interval for a sample?A confidence interval in statistics is a range of values that is established using observed data and computed at a chosen confidence level and may contain the actual value of the parameter under study. In order to calculate a confidence interval, the sample mean (X) and, if applicable, the standard deviation d must be known.We have the expression for confidence interval as,[tex]C= X+t (\frac{d}{\sqrt{n} } )\\ or \\C= X-t (\frac{d}{\sqrt{n} } )[/tex]
t-value for the chosen confidence level, X is the sample mean, d is the standard deviation, and n is the sample size.
Thus, the confidence interval for the given sample will be,[tex]C=15+1.711(\frac{5}{\sqrt{25} } )=15+1.711\\or\\C=15-1.711[/tex]
Thus, the confidence interval for the given sample will be 15±1.711.
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A student performs an experiment and must measure the lengths of four different objects: a textbook, a pencil, a cup, and a piece of bread. which would be the most appropriate unit of measurement for her to use? kilometer meter centimeter micrometer
Centimeter is the right answer.
When a student performs an experiment and must measure the lengths of four different objects: a textbook, a pencil, a cup, and a piece of bread, centimeter would be the most appropriate unit of measurement for her to use.
The other units are either too small or too big to use for the measurement of the given objects.
KilometerOn considering kilometer we usually use the kilometer unit of measurement for the measurement of distance.
MeterConsidering meter, we can tell that 1 meter = 100 centimeters which is also more when measuring the above given objects.
MicrometerMicrometer is very small to measure the above mentioned objects.
The micrometer is a commonly used unit of measurement for infrared radiation wavelengths, bacterial and biological cell sizes, and for classifying wool according to the diameter of the fibers.
So hence on comparing all the units we can conclude that centimeter is the appropriate unit of measurement to measure a textbook, a pencil, a cup, and a piece of paper.
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