A control volume's time rate of entropy change is equal to the rate of entropy generated inside the control volume plus the rate of entropy entering or leaving the control volume through mass transfer.
A state of disorder, randomness, or uncertainty is most frequently associated with the scientific concept of entropy, which is also a quantifiable physical property. In other words, entropy is the increase in disorganization within a system. It is defined as the measurement of degree of randomness. A physical principle based on observed interactions between heat and energy, the second law of thermodynamics is applicable to all situations. A straightforward explanation of the law is that, without an energy source to change the direction of heat flow, heat always travels from hotter to cooler objects. The overall entropy of a system never decreases; according to the second law of thermodynamics, it always either rises or stays the same.
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g how long will it take a 3500- w motor to lift a 365- kg piano to a sixth-story window 18.0 m above?
Lifting a 365-kg piano to a window on the sixth floor will require a 3500-w motor in 17.6 seconds. In a motor, electrical energy is transformed into mechanical energy.
According to estimates, motors use close to half of the energy utilized worldwide. An electrical device known as a DC motor transforms electrical energy into mechanical energy. Direct current, which is used as an electrical energy source in a DC motor, is converted into mechanical rotation.
P= 3500 W m = 350 h = 18m for Data Part A given.
Energy needed is known to be mah,
which is 350 x 9.8 x 18 J, or 61 74 0 J.
As it also known, Power = Energy/Time.
Time = Energy/Power = 61740/350 0 T = 17. 64S
Time taken therefore equals 17.6 seconds.
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a box of mass is at rest on a rough horizontal surface. the coefficients of static and kinetic friction between the surface and the box are and , respectively. a horizontal force is applied to the box. what is the frictional force acting on the box?
To known the coefficient of friction and static force to solve this question.
What is kinetic friction force?
The term "kinetic friction" describes a force that exists between moving surfaces. A force is felt that is opposing the direction of a moving body on the surface. The amount of force that is applied will depend on the kinetic friction coefficients of the two materials.
What is coefficient of static force?
The highest ratio of applied force to normal force when there is no motion is known as the coefficient of static friction. We are all aware that frictional force opposes motion.
F=t²
fs max = 4/10*10= 4N
Therefore, at t= 2 blocks start moving
(t²-3) =ma
⇒ dv/dt= (t²-3)
⇒ ∫_o^v〖dv=∫_l^3(〗( (t²-3) dt
=v= 1/3 (27-8)-3(1)
=3.33m/s
Therefore, the frictional force acting on the box is 3.33m/s.
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Tech a says that one advantage of distributorless ignition systems is no moving parts to maintain. Tech b says that the resistance of the coil primary winding can best be tested with a voltmeter. Who is correct?.
Tech A's point is correct as Tech A says that one advantage of distributor less ignition systems is no moving parts to maintain.
Ignition system have following merits:-
Less voltage loss, from the coil to the plug.
However with fewer connections and the elimination of the distributor rotor to cap air gap.
So, the evolution of ignition systems, has provided a number of merits.
As a result, drivers driving with newer systems enjoy better fuel efficiency; infact more reliable operation with reduced maintenance costs.
The position sensors, are equipped with a magnetic coil, generating a magnetic field. So, when the gap of a triggering wheel, comes in front of the position sensor; a fluctuation in the signal is likely to occur. These signals then stop or start, the flow of current, to the primary winding of the coil cannot be tested with voltage measuring device.
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Your house is 200 m away from school. Today, you decide to go to your friends house first and then to school, travelling 300 m instead. Because you took that detour, it took you 5 minutes to get to school today, what is your average speed? (speed = Distance/time)
A car traveling in a straight line has a velocity
of 3.58 m/s at some instant. After 6.72 s, its
velocity is 11.9 m/s.
What is its average acceleration in this time
interval?
Answer in units of m/s
.
Answer: 1.2381 m/s
Explanation:
vf=vi + at
11.9 = 3.58 + a(6.72)
8.32 = a(6.72)
1.2381 m/s = a
besides a sound wave striking a boundary between two tissue interfaces at oblique incidence, which other condition must be present in order for refraction to occur?
A sound wave striking a boundary between two tissue interfaces at oblique incidence, the other condition must be present in order for refraction to occur is that the propagations speeds of the two media must be different from each other acc. to Snell’s law.
What is a refraction?The redirection of a wave as it travels through one medium and into another is called refraction. Changing the medium or the wave's speed can both result in redirection.
Conditions for refraction according to Snell's law are:According to Snell's law, the ratio of the sines of the angle of incidence (display style "theta 1" and "theta 2") and angle of refraction (display style "theta 2") for a given pair of media is equal to the refractive index of the second medium relative to the first (n21), which is equal to the ratio of the refractive indices (n2/n1) of the two media, or alternatively, to the ratio.
Hence, A sound wave striking a boundary between two tissue interfaces at oblique incidence, the other condition must be present in order for refraction to occur is that the propagations speeds of the two media must be different from each other acc. to Snell’s law.
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How does the angle at which a ray of light strikes a pane of window glass compare with the angle at which it passes out the other side?.
The angle at which a ray of light strikes a pane of glass (perspective of occurrence) is the same as the angle at which it passes out the opposite side.
If the angle of refraction in the air becomes 90°, the attitude of prevalence inside the glass is called the crucial attitude; if the perspective of incidence in the glass is extra than the vital angle, overall internal reflection occurs.
A light ray in the air is incident on an air-to-glass boundary at an attitude of forty-five. zero levels and is refracted in the glass of 30. zero degrees with the regular. This 'bending of a ray of light when it passes from one substance into some other substance is referred to as refraction. The bending of a ray of light also happens when the ray comes out of glass or water and passes into the air.
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✓= √219.8113) ✓=5.8 m/s RE=1/6/240)100.07²: / 44,946.75
Suzie Lavtaski (m=56 kg) is skiing at Bluebird Mountain. She is moving at 16 m/s across the crest of a ski hill
located 34 m above ground level at the end of the run.
+719
775
a. Determine Suzie's kinetic energy.
b. Determine Suzie's potential energy relative to the height of the ground at the end of the run.
c. Determine Suzie's total mechanical energy at the crest of the hill.
d. If no energy is lost or gained between the top of the hill and her initial arrival at the end of the run, then
what will be Suzie's total mechanical energy at the end of the run?
e. Determine Suzie's speed as she arrives at the end of the run and prior to braking to a stop.
• Audio Guided Solution
• Show Answer
The final answer is:
(a) Kinetic energy is 7168 J
(b) Potential energy is 18,678.24 J
(c) Total energy = 25,846.24 J
Given,
mass = 56 kg
Speed = 16 m/s
Distance = 34 m above ground level.
Now lets solve with he above value
(a) Kinetic energy = 1/2 × mv^2
=1/2 × 56 × 16^2
=7168 J
(b) Potential energy = m .g. h
=56 ×9.8 ×34
=18,678.24 J
(c) Total energy = kinetic energy + potential energy
=7168+18,678.24
=25,846.24 J
(d) Because no energy is lost or gained between the top of the hill and her initial arrival at the end of the run, then the total mechanical energy at the top of the hill or any place across the crest and the bottom of the crest .
Thus , Total mechanical energy = 25,846.24 J
(e) As we know, total energy = potential energy + kinetic energy
but at the end of the run it's potential energy is zero.
So, Total energy = 1/2 ×m ×v^2
25,846.24= 1/2 ×56 ×v^2
V= 30.38 m/s
Hence, Suzie's speed as she arrives at the end of the run is 30.38 m/s
Therefore, the kinetic energy can be responsible for all other energies as well as the speed of that object.
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n the moon the acceleration due to gravity is 5 ft/sec{}^2. an astronaut jumps into the air with an initial upward velocity of 11 ft/sec. how high does she/he go? feet how long is the astronaut off the ground? sec.
a) The astronaut goes to a maximum height of 5.5 feet.
b) The astronaut is off the ground for about 4.4 seconds
Describe the equations of motions?
In physics, the term "equations of motion" designates a set of equations that can be used to explain how a physical system acts with respect to how it moves through time.The link between variables like velocity, location, and acceleration that are observed at various points in time is thus the definition of the equation of motion.The three equations of motion are the laws that govern how an object moves in one, two, and three dimensions.When the body is travelling straight ahead with a constant angular velocity, these equations are utilized.The three equations look like this:
The first motion equation is v = u + at
The second equation of motion is s = ut + at^2 /2
The third equation of motion is v^2 = u^2 + 2as
Using Second equation of motion:
s(t) = v₀t + 1/2 at²
= 11t + (1/2)(-5) t²
= 11 t - 5/2 t².
On differentiating the above equation with respect to time, we have
s’(t) = 11 - 5t
Then equating the equation to 0, we find
s’(t) = 0
11 - 5t = 0
5t = 11
t = 11/5
The astronaut reaches the maximum height at time t = 11/5 = 2.2 seconds.
Therefore, the maximum height achieved by the astronaut is
s = 8(11/5) - (5/2)(11/5)²
= 88/5 - (5/2)(121/25)
= 88/5 - 60.5/5
= 27.5/5
= 5.5 feet.
The astronaut touches the ground at time t > 0 such that
s(t) = 0
11t - 5/2 t² = 0.
5/2 t² - 11t = 0
5t² - 22t = 0
t(5t - 22) = 0
t = 0 or 5t - 22 = 0
5t = 22
t = 22/5
= 4.4 seconds
Hence,
a) the astronaut goes to a maximum height of 5.5 feet.
b) the astronaut is off the ground for about 4.4 seconds
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How would u describe a free-falling object?
At constant mass, the __________________ of an object varies (directly, inversely) with the net external force applied. That is to say, that an object’s acceleration increases as the force applied is (decreased, increased), but its acceleration decreases if the force applied is (decreased, increased).
At constant mass, the acceleration of an object varies (directly) with the net external force applied. That is to say, an object’s acceleration increases as the force applied is (increased), but its acceleration decreases if the force applied is (decreased)
Acceleration is the rate of change of the velocity of an item with appreciation to time. Accelerations are vector portions. The orientation of an item's acceleration is given by the orientation of the net pressure appearing on that object.
Acceleration is the charge at which velocity modifications with time, in terms of each speed and route. A factor or an object moving in a straight line is accelerated if it quickens or slows down. movement on a circle is extended despite the fact that the rate is consistent because the course is continually changing.
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a car crashes into a large tree that does not move. the car goes from 30 m/s to 0 in 1.3 m. (a) what impulse is applied to the driver by the seatbelt, assuming he follows the same motion as the car? (b) what is the average force applied to the driver by the seatbelt?
a) 1890 N sec impulse is applied to the driver by the seatbelt .
b) the average force applied to the driver by the seatbelt is 24.23 N
What is impulse ?
In classical mechanics, momentum (symbolized by J or Imp) is the integral of force F over the time interval t over which the force acts. Since force is a vector quantity, momentum is also a vector quantity. The SI unit of momentum is the Newton second (N s), and the dimensional equivalent unit of momentum is the kilogram meter per second (kg m/s). The equivalent British engineering unit is pound second (lbf⋅s), and in British gravitational systems the unit is slug feet per second (slug⋅ft/s). A resultant force causes an acceleration and a change in the velocity of a body as long as the body is acting on it. Therefore, a net force applied over a long period of time produces a larger change in linear momentum than the same force applied for a short period of time.
The change in momentum is equal to the average force multiplied by the duration. Conversely, a small force applied for a long period of time produces the same change in momentum (same momentum) as a large force applied for a short period of time.
A)
Impulse, J = mv
J = 70 x 27
J = 1890 N sec
B)
Average force, F = 1890/(1.3 x 60) = 24.23 N
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Impulses are sudden and powerful urges. Where does their energy come from?
A. It comes from high-speed neurons in the brain.
B. It comes from being encouraged by peers.
C. It comes from bypassing the prefrontal cortex.
D. It comes from conscious repetition.
Answer:
From psychology
It comes from bypassing the prefrontal cortex
So yes, The answer will be C.
jocelyn stood in the middle of a trampoline causing the springs around the edge to stretch. Her identical twin, Jennifer, who has the same mass, joined her in the center of the trampoline.
Two identical conducting spheres are placed with their centers 0.80 m apart. One is given a charge of +6 × 10−9 C, and the other is given
a charge of −11 × 10−9 C.
Find the electric force exerted on one sphere by the other.
Please help asap
The electric force exerted on one sphere by the other is equal to 9.27 × 10⁻⁷ N.
What is coulomb's law?According to Coulomb’s law, the force of attraction between two charged bodies is the product of their charges and is inversely proportional to the square of the distance by which they are separated. This force acts along the line joining the two-point charges.
The magnitude of the electric force is given by:
[tex]F = k\frac{q_1q_2}{r^2}[/tex]
where k is constant proportionality and has a value of 8.99 × 10⁹ N.m²/C².
Given the charge on one sphere, q₁ = + 6 ×10⁻⁹ C
The charge on the other sphere, q₂ = -11 × 10⁻⁹C
The distance between these two charges, r = 0.80 m
The magnitude of electric force between the spheres will be:
[tex]F = 8.99 \times 10 ^9(\frac{6\times 10^{-9}\times 11\times 10^{-9}}{(0.80)^2} )[/tex]
F = 927.09 × 10⁻⁹ N
F = 9.27 × 10⁻⁷ N
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HELP PLEASE: A volcano that has not erupted in a very long time suddenly has a plume of steam coming from it. Which best describes this volcano?
was dormant and is now active
was quiet and is now active
was extinct and is now explosive
was dormant and is now explosive
A. was dormant and is now active
Explanation:
Quiet and extinct are not the words to describe a volcano that has not erupted in a very long time. Those are called dormant. When they are starting to heat up, steam, or erupt, they are now active.
" I hoped i helped you, Chancey : - ) "
Answer:
Almost explosive I guess
Concrete has a density of 2400 kg/m³. Calculate the mass of 150 m³ of concrete in kilograms.
Answer: 360000 kilograms
Explanation: Just have to multiply 2400 by 150 for your answer
calculate the frequency of a photon of electromagnetic radiation for red light (750 nm). group of answer choices
Using the theories of electromagnetic radiations, we got that 4×[tex]10^{4}[/tex]nm. is the frequency of a photon of electromagnetic radiation for red light
We know very well that there is a relation between velocity of light, frequency and wavelength of light.
The relation is given by c=vλ where v is the frequency of light and λ is the wavelength of the light.
We are given for wavelength as 750nm or 750×[tex]10^{-9}[/tex]m
We, know that speed of light is =3×[tex]10^{8}[/tex]m/sec
So putting the values in formula, we get
=>3×[tex]10^{8}[/tex]=v×750× [tex]10^{-9}[/tex]
=>v=(3/750)×[tex]10^{17}[/tex]
=>v=0.004×[tex]10^{17}[/tex]
=>v=4×[tex]10^{13}[/tex]m or 4×[tex]10^{4}[/tex]nm.
Hence, the frequency of a photon of electromagnetic radiation for red light(750nm) is 4×[tex]10^{4}[/tex]nm.
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a black cat starting from rest accelerates uniformly at 1.2m/s/s for 2.4 seconds. what distance did the cat cover after the acceleration?
The distance covered by the cat starting from rest accelerates uniformly at 1.2 m/[tex]s^2[/tex] For 2.4 seconds after the acceleration is 3.456 meters.
What is acceleration?Acceleration describes the speed and direction changes in velocity over time. Acceleration refers to the change in speed or direction of an item or points traveling straight forward. Even though the speed is constant, motion on a circle increases because of the constant change in direction.
Acceleration is a vector quantity since it has both a magnitude and a direction. A vector quantity is also velocity.
Given:
The initial acceleration, a = 1.2 [tex]m/s^2[/tex],
The time, t = 2.4 seconds,
Calculate the distance by the following formula,
[tex]s = u * t + 1 / 2 * a * t^2[/tex]
Here s is the distance.
Substitute the values,
s = 0 * 2.4 + 1 / 2 * 1.2 *[tex]2.4^2[/tex]
s = 3.456 meters
Therefore, the distance covered by the cat starting from rest accelerates uniformly at 1.2 m/[tex]s^2[/tex] for 2.4 seconds after the acceleration is 3.456 meters.
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A carbon footprint is a measure of the amount of carbon human activities, like using energy, release into the atmosphere. Which activity would help decrease the greatest carbon-releasing activity in us homes?.
The activity that helps reduce the number one CO₂ emission in US households is wearing layers of clothing.
What is energy consumption?Energy consumption includes direct or indirect consumption of energy.Activities that may help to reduce CO₂ emission, the largest in US households, must eliminate energy use entirely.Of all the options given, the only option that does not involve energy consumption is to wear layers of clothing. Two thin layers are warmer and lighter than one thick layer because the air trapped between them acts as insulation. Layering is especially useful in cold climates where clothing needs to wick moisture, provide warmth, and protect from wind and rain.So the activity that helps reduce the biggest carbon-emitting activity in US households is wearing layers of clothing.
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a searchlight uses a parabolic mirror to cast a beam of light in parallel rays where the light bulb is located at the focus of the parabola in order to give the best illumination. the mirror is modeled by y2
This can be calculated by using parabolic mirror concept, so the location of the light bulb is (15, 0).
A parabolic mirror is a kind of dish or a mirror that is said to have a reflective surface which is often used to take in or project any kind of energy e.g., light, sound, etc. A parabolic mirror is also known as paraboloid or paraboloidal reflector. This parabolic mirror works on a parabolic equations. which are in the form of
y^2 = 2ax
where focus is (a/2, 0)
Considering the equation for parabolic mirror modelling is
y^2 = 20(x – 10)
lets say, x- 10 = u
so, y^2 = 20u
So, the focus for U = ( 20/4; 0)
The focus for x = ( 5+ 10, 0)
= (15, 0)
Therefore, the bulb should be placed at focus and that is (15, 0)
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When a piece of perspex is
rubbed with a dry woollen cloth,
electrons move to the cloth.
Which material becomes:
a) positively charged
b) negatively charged?
a). Since the Perspex cloth loses electrons it gains Positive charge.
b). Since the Electrons are transferred to cloth so it gains negative charge.
Objects are charged when rubbed together, one getting a positive and the other a negative charge. This happens because of friction that occurs between the two bodies.
When you rub these two materials against each other, electrons are stripped and accumulate at both of these materials. However, since polythene rod has larger dielectric constant, it stores more charges, therefore it is always more negatively charged.
Triboelectric effect is also an interpretation to understand this mechanism of electrons.
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pluto differs significantly from the eight solar system planets in that
Pluto differs significantly from the eight solar system planets in that it has not cleared its orbit.
The solar system is the gravitationally sure system of the solar and the items that orbit it. It is shaped four.6 billion years in the past from the gravitational crumble of a large interstellar molecular cloud. The extensive majority (99.86%) of the gadget's mass is within the solar, with the maximum of the final mass contained inside the planet Jupiter. The four inner machine planets—Mercury, Venus, Earth, and Mars—are terrestrial planets, being composed generally of rock and metal. The four large planets of the outer machine are significantly large and greater big than the terrestrials. the two biggest, Jupiter and Saturn, are gasoline giants, being composed mainly of hydrogen and helium; the next, Uranus and Neptune, are ice giants, being composed mostly of volatile substances with quite excessive melting points in comparison with hydrogen and helium, together with water, ammonia, and methane. All 8 planets have almost circular orbits that lie near the aircraft of Earth's orbit, referred to as the ecliptic.
There are an unknown wide variety of smaller dwarf planets and innumerable small sun system our bodies orbiting the solar. Six of the predominant planets, the six biggest possible dwarf planets, and a few of the smaller bodies are orbited via natural satellites, generally known as "moons" after Earth's Moon. herbal satellites, Jupiter's moon Ganymede and Saturn's moon Titan, are large but no longer more massive than Mercury, the smallest terrestrial planet, and Jupiter's moon Callisto is sort of as massive.
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when ultraviolet light with a wavelength of 400 nm falls on a certain metal surface, the maximum kinetic energy of the emitted photoelectrons is measured to be 1.10 ev . what is the maximum kinetic energy of the photoelectrons when light of wavelength 315 nm falls on the same surface?
The maximum kinetic energy of the photoelectrons when light of wavelength 315nm falls on the same surface is 1.937eV.
What is photoelectric effect?
Electrons are released when a material is exposed to electromagnetic radiation, such as light, and this is known as the photoelectric effect. These electrons are referred to as photoelectrons. To derive conclusions regarding the properties of atoms, molecules, and solids, the phenomena is researched in condensed matter physics, solid state chemistry, and quantum chemistry. Electronic devices designed for light sensing and precisely timed electron emission have found usage for the effect.
For solving this question, we will use the formula:
E=Ф+ KE where,
Ф is work function, also written as Wo
hc/λ + KE= Ф
Ф= (6.63×10 -34×3×10 8/ 400×10-9 ) - 1.6×10-9×1.10
⇒3.2095×10-19 J
KE = hc/λ - Ф
⇒(6.63×10 -34×3×10 8/ 315 ×10 -9) - 3.2095×10-19
⇒3.10×10-19 J
KE = 3.10×10-19/ 1.6 ×10-9
KE = 1.937 eV
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The small regions inside ferromagnetic materials in which the magnetic moments of all the atoms are perfectly aligned are called.
The small regions inside ferromagnetic materials in which the magnetic moments of all the atoms are perfectly aligned are called domain
A magnetic domain is a region in which the magnetization is in a same direction or it can be said that , domain is that region in which the individual magnetic moments of the atoms are aligned with one another and point in the same direction. The alignment of magnetic moment in same direction constitutes a domain
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3. (High Elevation Upward)
A baseball player throws a baseball straight upward with a velocity of 12.0 m/s from an initial
height of 2.2 m.
a.) How long does it take for the baseball to hit to the ground?
b.) What is the velocity of the baseball just before it hits the ground?
c.) What is the maximum height attained by the baseball?
Answer:
Below
Explanation:
a) d= 2.2 + 12 t + 1/2 at^2 d= 0 when it hits the ground
a = - 9.81 m/s^2
solve for t = 2.62 s ( Use Quadratic Formula or graphing method)
b) vf = vo + at
= 12 - 9.81 (2.62) = -13.7 m/s ( or 13 m/s DOWNWARD)
c) vf = 0 at max height
0 = vo + at
= 12 - 9.81 t finds t = 1.22 s
the d = 2.2 + 12 (1.22) - 1/2 * 9.81 (1.22^2) = 9.53 m ( if you graphed the equation for part a you can see this value at the peak)
Which of the following has the greatest momentum?
a) turtle with a mass of 100 kg moving at a velocity of 1.0 m/s
b) tortoise with a mass of 300 kg moving at a velocity of 0.5 m/s
c) roadrunner with a mass of 2 kg moving at a velocity of 7 m/s
d) hare with a mass of 200 kg moving at a velocity of 7 m/s
Answer:
I believe the hare (option d)
Explanation:
Momentum is an objects mass multiplied by its velocity
Answer:
Explanation:
a)
p₁ = m₁·V₁ = 100·1.0 = 100 kg·m/s
b)
p₂ = m₂·V₂ = 300·0.5 = 150 kg·m/s
c)
p₃ = m₃·V₃ = 2·7 = 14 kg·m/s
d)
p₄ = m₄·V₄ = 200·7 = 1400 kg·m/s
The greatest momentum:
d) hare with a mass of 200 kg moving at a velocity of 7 m/s
p = 1400 kg·m/s
How much voltage is required to run 0.42 A of current through a 15
resistor? Use AV = IR.
A. 6.3 V
B. 36 V
C. 0.028 V
D. 0.16 V
Answer: the answer is A 6.3 V
Explanation:
switches that support a(n) _______________ transceiver can connect a variety of gigabit types.
switches that support a(n) SFP port transceiver can connect a variety of gigabit types.
A gigabit switch is a type of network switch which is typically Ethernet based, that allows devices to be connected to a LAN at speeds of 1 Gbps or higher. An SFP port or small form factor pluggable port on a network device is a slot where SFP transceivers are connected and it allows gigabit switches for connecting to a variety of Ethernet and fiber cables for extending the functionality of switching through the networks.
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a car with a speed of 45 m/s on a flat road coasts up to the top of a 20m high hill. how fast is ti going at the top of the hill
The final speed when the car slides to the top of a 20 m hill is 22.23 m/s.
This question is answered by the law of conservation of mechanical energy, as follows:
Ep₁ + Ek₁ = Ep₂ + Ek₂
mgh₁ + 1/2mv₁² = mgh₂ + 1/2mv₂²
Where:
m is the mass (m)g is the gravity of the earth (10 m/s)h₁ is the initial height (m)h₂ is the final speed (m)v₁ is the initial velocity(m/s)v₂ is the final speed (m/s)In the problem, it is stated that the speed on a flat road is (v₁ = 45 m/s) because it is on a straight road with a height (h₁ = 0). Then the car goes up the hill with the height of the hill (h₂ = 20 m). So what is being asked is the final velocity when the car goes up the hill (v₂ = ?).
mgh₁ + 1/2mv₁² = mgh₂ + 1/2mv₂² (both sides divided by mass)
gh₁ + 1/2v₁² = gh₂ + 1/2v₂²
10*0 + 1/2(45)² = 10*20 + 1/2v₂²
0 + 1012.5 = 20 + 1/2v₂²
1/2v₂² = 1012.5 - 20
1/2v₂² = 992.5
v₂² = 496.25
v₂ = [tex]\sqrt{496.25}[/tex]
v₂ = 22.23 m/s
So, the final velocity when the car goes up the hill is 22.23 m/s.
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