The greater amount of energy is transferred during the first case and the difference in energies is: 84 × 10³ J
What is internal energy of a system?Internal energy refers to all energy within a particular system, including the kinetic energy of molecules and the energy stored in chemical bonds between molecules. The interaction of heat, work, and internal energy involves the transfer and conversion of energy whenever a change is made to the system.
The amount of heat (Q) gained or lost from the sample can be calculated using the formula Q = mcΔT. where m is the mass, c is the specific heat, and ΔT is the temperature change.
For the first case:
Q = mcΔT
Q = mc(T₁ - T₂)
m = 1 kg or 1000 g
c = 4.2 J g⁻¹/°C
T₁ = 10 °C
T₂ = -15 °C
Q₁ = 1000 × 4.2 × (10 -(-15))
Q₁ = 105 × 10³ J
For the second case:
Q = mcΔT
Q = mc(T₂ - T₁)
m = 1 kg or 1000 g
c = 4.2 J g⁻¹/°C
T₁ = 60 °C
T₂ = 65 °C
Q₂ = 1000 × 4.2 × (65 - 60)
Q₂ = 21 × 10³ J
To know more about internal energy, visit:
https://brainly.com/question/12910467
#SPJ1
An astronomical telescope is used to view distant stars. How does the angle between the just-resolvable light from two stars differ if the average light from the stars is red or if it is blue?.
With an astronomical telescope, the angle of just resolution light from two stars would be greater if the light of the average star is red or if it is blue.
What is an astronomical telescope?
An astronomical telescope consists of two lenses: objective and eyepiece.
The objective lens forms the image of a far off object at focal point while eyepiece lens just magnifies the image and make it look more clear, visible and magnified.
The formula D = 1.22λ/dФ is used to find the value of aperture of the telescope.
In general, an astronomical telescope is used to view distant stars. Thus, the angle formed would be greater if the light emitted by the average stars is red or blue.
If you need to learn more about astronomical telescope click here:
brainly.com/question/15232340
#SPJ4
After energy conversions, you end up with the same total amount of energy as the original amount energy. Which law explains this rule?.
The law that explains it is called the law of conservation of energy.
What does the law mean?The law of conservation of energy states that in an isolated system, the total energy remains constant, i.e., the total energy is conserved over time. Therefore, the initial energy of an isolated system is equal to the final energy of the system. As a result, energy can neither be destroyed nor created. Energy can only be transferred or transformed from one from to another.
The law of conservation of energy can be mathematically expressed as K₁ + U₁ = K₂ + U₂ where K₁ is the initial kinetic energy, U₁ is the initial potential energy, K₂ is the final kinetic energy and U₂ is the final potential energy.
Learn more about the law of conservation of energy here: https://brainly.com/question/27422874
#SPJ4
After energy conversions, you end up with the same total amount of energy as the original amount energy. Which law explains this rule?.
You end up with the same overall amount of energy as you did before energy conversions were made. The law of conservation of energy provides an explanation for this.
What is law of conservation of energy?Energy cannot be created or destroyed; instead, it can only be changed from one type of energy to another, according to the principle of energy conservation. This is especially puzzling in the case of non-conservative forces, where energy is converted from mechanical to thermal but the total amount of energy remains constant. To be used, energy must be transformed from one form to another.
Therefore, the equation U[tex]_{T}[/tex]=U[tex]_{i}[/tex]+W+Q determines the amount of energy in any system.
To know more about law of conservation of energy, visit:
https://brainly.com/question/12050604
#SPJ4
a subway train is brought to a stop from a speed of 0.500 m/s in 0.400 m by a large spring bumper at the end of its track. what is the force constant of the spring?
The force constant k of the spring is 781000 N/m
What is force?
Once applied, force is described as an external cause that alters or tends to modify the state of the body; if the body is in motion, it comes to rest, and if at rest, it comes to motion. It can also induce a shift in the body's direction, shape, or size. Pushing or pulling a door with force is an example.
Because force is a vector quantity, it has both magnitude and direction. Newton's second law defines force as the "product of a body's mass and acceleration."
In physics, a force is an effect that can change the velocity of an object. A force can cause a mass object's velocity to change (e.g., moving from rest), causing it to accelerate. Force can be thought of as either a push or a pull. Because it has both magnitude and direction, force is a vector quantity. It is measured in newtons, the SI mass unit (N). The letter F stands for force (formerly P).
In its original form, Newton's second law states that the net force acting on an object is equal to the rate at which its momentum varies with time.
Here,
let the force constant is k
Using conservation of energy
0.50 * 5 *10^5 * 0.50^2 = 0.50 * k * 0.40^2
solving for k
k = 781000 N/m
The force constant k of the spring is 781000 N/m
Learn more about force from given link
https://brainly.com/question/388851
#SPJ4
when an object moves at a constant speed against friction on a horizontal tabletop, there is an increase in the object's a) potential energy b) temperature c) acceleration d) momentum
any procedure where velocity fluctuates
What is acceleration, briefly?
Any procedure where the velocity varies is referred to as acceleration. There are only two methods to accelerate because velocity is both a speed and a direction: changing your speed or changing your direction.
An object has positive acceleration if it is accelerating and travelling in the right direction. Positive acceleration was demonstrated in the first example by the speeding car. The acceleration is in the same direction as the car's motion because it is moving forward and speeding up.
To learn more about acceleration refer to
https://brainly.com/question/460763
#SPJ4
At any any procedure where velocity fluctuates.
What is acceleration, briefly?Acceleration is the general term for any process where the velocity changes. Because velocity is both a speed and a direction, there are only two ways to accelerate: altering your speed or changing your direction.If an object is accelerating and moving in the appropriate direction, it has positive acceleration. The speeding automobile in the first scenario showed positive acceleration. Since the car is moving ahead and accelerating, the acceleration is also travelling in the same direction.The change in velocity over a specific time period is known as acceleration. Any moment the speed or direction of motion changes, acceleration has taken place. Acceleration is zero at constant velocity. Negative acceleration or deceleration is the term for slowing down.To learn more about acceleration refer to
brainly.com/question/460763
#SPJ4
skydiver refresher test answers why is it important to look ahead during a swoop toward other jumpers in freefall?
It is important to look ahead during a swoop toward other jumpers in freefall because you want to be able to see where they are going, and what they are doing.
If you don't look ahead, you may not be able to avoid them correctly. Looking ahead also helps you keep an eye on your parachute and where it is about other jumpers.
Looking ahead during a swoop toward other jumpers in freefall is important because it allows you to assess the situation and make sure that you aren't going to collide with another jumper. If you don't look ahead, you might not realize that there are people above but be ensure that you aren't colliding to avoid a collision.
To learn more about collision visit: https://brainly.com/question/4322828
#SPJ4
if a wave train (group of swell) in the open ocean has an average wavelength (l) of approximately 140 meters and a period (t) of 10 seconds, what is the celerity of these waves?
The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.
oceanography :
The study of all aspects of the ocean is known as oceanography. Oceanography includes a wide range of topics, including marine life and ecosystems, currents and waves, sediment movement, and seafloor geology.average wavelength of open ocean, l = 140 meters
time period, t = 10 seconds
speed of the train is calculated as :
140/10 = 14m/s
speed of train = 14m/s
The celerity of a wave train (group of swell) in the open ocean is 14 meter per second.
To know more about wavelength
https://brainly.com/question/13533093
#SPJ4
a transformer consists of two coils of wire wound on a common toroidal iron core. the mutual inductance of the pair is 184 mh and the current in the first coil decreases from 53 a to 0 in 1.4 s. what is the induced emf in the second coil? answer in units of v.
The second coil's induced emf is 13,652.8 V.Therefore, if current varying at a rate of 1 ampere/second in one coil produces an e.m.f. of 1 volt, two coils are said to have a mutual inductance of 1 henry.
Determine the induced emf.Therefore, if current varying at a rate of 1 ampere/second in one coil produces an e.m.f. of 1 volt, two coils are said to have a mutual inductance of 1 henry.
given,
I(t) = I₀ sin(ωt),
M = 184 H, I₀ = 1.4 A, ω = 53 rad/s.
a) magnitude of induced emf in terms of M and I
ε₂ = - M di/dt
The induced emf in the second coil is,
184 * 1.4 * 53 = 13,652.8 V.
To learn more about Indused emf refer to:
https://brainly.com/question/17329842
#SPJ4
The induced emf in the second coil is 13,652.8 V.
What is induced emf?When a bar magnet is moved into and out of the coil, an emf is produced in the coil. Motion in opposing directions generates emfs of the opposite signs, and reversing the poles likewise reverses the emfs. The relative motion is what matters; if the coil is moved instead of the magnet, the same effects are obtained. The induced emf is equal to (BA cos) = − d/dt. The magnetic field's strength might fluctuate over time. The area that the loop encloses is subject to vary throughout time. With time, the magnetic field's angle with the loop's normal can change.Therefore, if current varying at a rate of 1 ampere/second in one coil produces an e.m.f. of 1 volt, two coils are said to have a mutual inductance of 1 henry.
given,
I(t) = I₀ sin(ωt),
M = 184 H, I₀ = 1.4 A, ω = 53 rad/s.
a) magnitude of induced emf in terms of M and I
ε₂ = - M di/dt
The induced emf in the second coil is,
184 * 1.4 * 53 = 13,652.8 V.
To learn more about Indused emf refer to:
brainly.com/question/17329842
#SPJ4
Translates into algebraic language: The quotient of the difference of two numbers between their product.
Hello..!
Algebraic language
It is a symbolic way of expressing mathematical relationships with numbers, letters, and symbols.
We translate the statement into algebraic language:
The quotient of the difference of two numbers between the product of them.
The quotient: refers to a division.The difference: indicates a subtraction.Two numbers: let the two numbers be “a” and “b”.Product: denotes a multiplication.The algebraic expression would become:[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \blue{\boxed{ \bold{\boxed{ \bold{\bf \dfrac{a-b}{a \cdot b}}}}}}[/tex]
For a mass on a spring simple harmonic oscillator, the maximum velocity occurs are the point where the spring is.
Position in equilibrium As the mass moves in the direction of x=+A, the greatest velocity occurs so at equilibrium position (x=0).
How do you figure out where equilibrium is?Q can be used to anticipate the direction of a reaction's equilibrium shift. In the event that K > Q, a reaction will proceed and transform reactants into products. If K Q, the reaction will go the other way and convert reactants into products. In the event where Q = K, the system
What occurs when you reach equilibrium?When all forces acting on a mechanical system are equal to zero, it is in equilibrium. Learn how to calculate the equilibrium position of such a mass oscillating on even a spring as well as the factors that influence it on this page.
To know more about equilibrium visit:
https://brainly.com/question/10374921
#SPJ4
If a girl is sitting on box and the girl weighs 10kg and the box weighs 50 kg, how much force will be
needed to accelerate the box 5 m/s2? If the same force is used, what will the acceleration be if the girl hops off the box?
If a girl is sitting on box and the girl weighs 10kg and the box weighs 50 kg, 30.61 N force will be needed to accelerate the box 5 m/s2
Total weight = 10 + 50 = 60 kg
weight = mg
60 = m * 9.8
m = 6.122 kg
Force = ?
acceleration = 5 [tex]m/s^{2}[/tex]
Force = mass * acceleration
= 6.122 * 5 = 30.61 N
To learn more about force here :
https://brainly.com/question/7362815
#SPJ1
a lighthouse is located on a small island 5 km away from the nearest point p on a straight shoreline and its light makes eight revolutions per minute. how fast (in km/min) is the beam of light moving along the shoreline when it is 1 km from p? (round your answer to one decimal place.)
The movement of the beam of light is an illustration of distance and rates
The beam of light along the shoreline is moving at 261.5 km per minute when it is 1 km from P
What is rate of change of distance?The ratio of the distance traveled to the time required is used to compute average speed, which is the rate at which distance changes in relation to time.
[tex]\frac{d\theta}{dt}[/tex] = 8 rev min⁻¹ = 16 [tex]\pi[/tex] rad min⁻¹
tan [tex]\theta[/tex] = [tex]\frac{x}{5}[/tex]
Differentiate both sides with respect to t
[tex]sec^2 (\theta) \frac{d\theta}{dt} = \frac{1}{5} \frac{dx}{dt}[/tex]
[tex]\frac{d\theta}{dt}[/tex] = 16 [tex]\pi[/tex]
Then,
[tex]\frac{dx}{dt}[/tex] = [tex]sec^2 (\theta) X 80\pi[/tex]
From the question, x = 1. calculate the hypotenuse (h) side of the triangle, using the following Pythagoras theorem.
[tex]h^2 = 1+ 5^2\\[/tex]
h =[tex]\sqrt{26}[/tex]
sec ([tex]\theta[/tex]) = [tex]\frac{\sqrt{26} }{5}[/tex]
Substitute sec ([tex]\theta[/tex]) = [tex]\frac{\sqrt{26} }{5}[/tex] in [tex]\frac{dx}{dt}[/tex] = [tex]sec^2 (\theta) X 80\pi[/tex].
[tex]\frac{dx}{dt} = (\frac{\sqrt{26} }{5} )^2 . 80\pi[/tex]
= 83.2 [tex]\pi[/tex] = 261.48
Hence, the beam of light along the shoreline is moving at 261.5 km per minute when it is 1 km from P.
To learn more about Distance refer,
https://brainly.com/question/15283898
#SPJ4
explain how your observation of the experiment either agreed with galileo or led you to a different conclusion. answer with three to five complete sentences and use proper grammar and mechanics.
My experiment disagreed with Galileo because Galileo's explanation for the tides was incorrect; the hypothesis that Earth orbits the Sun is right.
What part of Galileo's theory is incorrect?Galileo discovered evidence in 1595 that he believed supported the idea that Earth orbits the Sun. Galileo believed that the irregular motion of Earth around the Sun was the primary cause of the tides. Galileo's explanation for the tides was incorrect, even though the idea that Earth orbits the Sun is true.
Galileo presents his three top justifications for his contention that the earth revolves around the sun. One of these is his claim that "the ebbing and flowing of the ocean tides" supports his position.
There are high and low tides. Galileo thought that the earth's rotation was what created the tides. One of his absolute worst theories is this one.
The sun and moon's actions cause "the ebb and flow of the sea," as we now understand. That is the correct explanation for the tides, as stated by Newton. They result from gravitational forces, as Newton demonstrated.
To learn more about Galileo refer :
https://brainly.com/question/1419026
#SPJ4
A coin has a mass of 7.0g. It is made of a metal alloy of density 5.6g/cm cube. Calculate the volume of the coin.
Answer:
1.25 cm³
Explanation:
Datam = 7.0 g
d = 5.6 g/cm³
v = ?
CalculationUsing,
[tex] d \: = \frac{m}{v} [/tex]
[tex]v = \frac{m}{d} [/tex]
[tex]v = \frac{7}{5.6} [/tex]
[tex]v = 1.25 \: c {m}^{3} [/tex]
A 263 kg crate slides 3.2 m until coming to a stop after being pushed by a large man. The effective coefficient of kinetic friction between the crate and the surface is 0.13. Calculate the work done by friction .
WORK OUT AND USE UNITS
The work done by friction when a crate of 263 kg slides 3.2 m is 1072.2 J.
What is friction?Friction is the force that opposes the motion of two bodies in contact.
To calculate the work done by friction, we use the formula below.
Formula:
W = mgdμ............ Equation 1Where:
W = Work done by frictionm = Mass of the crateg = Acceleration due to gravityd = Distance traveled by the crateμ = Coefficient of kinetic frictionFrom the question,
Given:
m = 263 kgh = 3.2 mg = 9.8 m/s²μ = 0.13Substitute these values into equation 1
W = (263×3.2×9.8×0.13)W = 1072.2 JHence, the work done by friction is 1072.2 J.
Learn more about friction here: https://brainly.com/question/23161460
#SPJ1
A 1 kg water balloon falls downward and experiences a 4.9 N air resistance as it approaches the ground. What is the acceleration of the water balloon when it experiences this air resistance?
answer each problem with only one note
an iron skillet weighing kg is heated on a stove to . suppose the skillet is cooled to room temperature, . how much heat energy (in joules) must be removed to affect this cooling? the specific heat of iron is
When the iron skillet cools from 178°C to 21°C, the quantity of heat lost is given by.
ΔQ = SmΔT = (0.449 J/°Cg) (1280 g)Δ(21 °C - 178 °C)
= -90231.04 J = -90.231 kJ
The specific heat capacity of a substance is equal to the heat capacity of a specimen of the element divided by the mass of sample.
Also known as specific heat, this is the quantity of energy required to increase a substance's temperature by one degree Celsius in one gram. The units of specific heat are typically calories or joules per gram per degree Celsius. As an illustration, the specific heat of water is 1 calorie (4.186 joules) per gram per degree Celsius.
Between systems or objects with various temperatures, energy is transmitted in the form of heat (flowing from the high-temperature system to the low-temperature system). Likewise called thermal energy or heat energy. The usual units for measuring heat are Btu, calories, or joules.
To know more about specific heat capacity, click on the link below:
https://brainly.com/question/27991746
#SPJ4
two forces whose resultant is 10N are perpendicular to each other. if one of them makes an angle of 60 with the resultant, calculate its magnitude
The magnitude of the resultant with respect to one of the vectors is [tex]10 \sqrt{3} \mathrm{~N}[/tex].
The resultant of two force is given by [tex]$F=\sqrt{A^2+B^2+2 A B \cos \theta}$[/tex] where, [tex]$A \& B$[/tex] are two vectors & [tex]$\theta$[/tex] is the angle between them.
Magnitude or resultant is [tex]$\sqrt{2 \times 10^2+2 \times 100 \cos 60^{\circ}}=10 \sqrt{3} \mathrm{~N}$[/tex].
A force is an influence in physics that can modify the velocity of an object. A force can cause a mass item to change its velocity, or accelerate. Intuitively, force can be described as a push or a pull. A force is a vector quantity since it has both magnitude and direction.
The term "force" has a specific meaning in science. At this level, it is quite acceptable to refer to a force as a push or a pull. A force is not something that an object 'has in it.' Another object applies a force to another. The concept of a force is not limited to living or nonliving things.
To learn more about Magnitude visit:https://brainly.com/question/14452091
#SPJ9
what physical quantities do you need to measure to determine the electric power produced by a battery/power supply? what equation will you use?
Electrical power (P) can be defined as the sum of these two numbers if voltage (V) equals Joules per Coulombs (J/C) and amperes (I) = charge (coulombs) per second (A = Q/t). This is due to the fact that electrical power can also be expressed as P = V*I, or voltage times amperes.
Electric Power can be explained as:
Electric power is the rate at which electrical energy moves across an electric circuit. The SI unit of power is the watt, or one joule per second. The suffixes used to represent thousands, millions, and billions of watts are kilowatts, megawatts, and gigawatts, respectively. Watts are subject to the same standard suffixes as other SI units.
A power law is an equation in which, regardless of the initial sizes of the two values, a relative change in one quantity results in a corresponding relative change in the other.
The Equation:
Here, it is explained that Power equals Current times Voltage (P=VxI), Current equals Power divided by Voltage (I=P/V), and Voltage equals Power divided by Current (V=P/I).
To know more about electric power, click on the link below:
https://brainly.com/question/12371501
#SPJ4
in its daily prowl of the neighborhood, a cat makes a dis- placement of 120 m due north, followed by a 72-m displace- ment due west. (a) find the magnitude and direction of the dis- placement required for the cat to return home. (b) if, instead, the cat had first prowled 72 m west and then 120 m north, how would this affect the displacement needed to bring it home? explain.
To find a solution, we first know about magnitude and displacement.
What is magnitude?
Magnitude typically refers to size or distance. By comparing the size and movement speed of the object, we can relate magnitude to movement. The object's or quantity's size determines its magnitude.
What is displacement?
A one-dimensional quantity called displacement (symbolized as d or s), also known as length or distance, represents the separation between two specified points. The meter is the SI's (International System of Units) accepted displacement unit.
Given that the beginning displacement is 120 meters to the north, the ultimate displacement is 72 meters to the west.
R = (A2+B2)1/2 is the magnitude of the resulting vector A+B.
The angle formed with the west direction is = tan-1(A /B) when = 139.9428m.
(Southeast) = 59.03624 degrees (B) Instead, if the cat had first wandered 120 m north, then 72 m west.
Then the magnitude of the resulting quantity is the same as R, but the angle is different because of = tan-1(72m / 120m) = 30.96375degrees.
Therefore the magnitude is 139.9428m.
Learn more about Magnitude from the given link.
https://brainly.com/question/24256733
#SPJ4
you hear a loud noise at 900 hz and look up to see a bird diving toward you. you are able to identify the type of bird and you know that they usually make noise at around 800 hz. how fast is the bird moving?
When you hear a loud sounds at 900 Hz and look up to see a bird diving frequency you, the bird is moving at a speed of 38.12 meter's per second (m/s). Knowing the species of bird and that their frequency.
When this frequency range is overused, the result might be honky or nasal. The teacher from the Charlie B. series serves as this range's audio guide.
Auditory identification of birds can be done by birders who are familiar with the various bird speed. A keen birder might start looking for nearby birds of prey after hearing an alarm cry, whereas someone who hears speed a begging call would start looking for a nest that is well-hidden.
f1=f(V+Vo/V-Vs)\s900/800=(343/343-Vs)
V=38.12 m/s
Learn more about speed here
https://brainly.com/question/13948890
#SPJ4
what is the magnitude of positive charges stored on one plate? what is the magnitude of negative charges stored on the opposite plate?
One plate of the capacitor holds a positive charge Q and the other plate holds a negative charge -Q.
When charging a capacitor, a single electron is first added to one side of the capacitor and then the charge moves so that the electron has an electric field that repels the other electrons.
This electric field penetrates space and pushes electrons into the other plate, giving that plate an induced positive charge. This will give you the same amount of charge on both plates.
So one plate of the capacitor holds a positive charge Q and the other plate holds a negative charge -Q.
Learn more about capacitors here brainly.com/question/17176550
#SPJ4
a motorcycle has a constant speed of 25.0 m/s as it passes over the top of a hill whose radius of curvature is 126 m. the mass of the motorcycle and driver is 342 kg. find the magnitudes of (a) the centripetal force and (b) the normal force that acts on the cycle.
The centripetal force on the motorcycle at the top of the hill is 1696.42 N and the normal force is 1723.57 N.
The speed of the motorcycle is 25 m/s and the mass of the motorcycle is 342 kg and the radius of curvature of the hill is 126m.
(a) The centripetal force on any curvature is given by,
F =MV²/R
Where,
F is the centripetal force,
M is the mass of the motorcycle,
R is the radius of curvature of the hill,
V is the speed at which it is travelling.
Putting all the values,
F = 342 x 25 x 25/126
F = 1696.42 N.
The centripetal force is 1696.42 N.
(b) At the top of the hill, the centripetal force and the normal force will be away from the ground and in opposite direction of the weight of the motorcycle,
N = W- F
W is the weight,
F is centripetal force and N is the normal force.
Putting values,
N = 3420 - 1696.42
N = 1723.57N.
The normal force is 1723.57 N.
To know more about Centripetal force, visit,
https://brainly.com/question/20905151
#SPJ4
Given newton’s first law of motion, what do we reasonably expect an object to do given the following scenarios?.
According to Newton’s first law of motion, we reasonably expect a stationary object will remain at rest or a moving object will have a uniform motion (have constant velocity) in a straight line.
Newton's first law of motion states, if there are no actions of an external force or forces, that are balanced, every object will remain at rest or in uniform motion in a straight line path. The formula ∑F = 0 with ∑F the external forces.
If an object is in a stationary condition, the object will remain at its rest.If an object is in motion, it will keep moving with a constant velocityThis law call law of inertia. Example
A boy sits on a chair, the weight force and the normal force from the chair keep the boy remain to sitting on the chair.A bus suddenly hit the brake, and people inside the bus will move slightly to the front and back, but they still sit on the chair.Learn more about Newton's first law here: https://brainly.com/question/10454047
#SPJ4
2.10-kg block of wood is attached to a spring with a spring constant of 150 n/m. the block is free to slide on a horizontal frictionless surface once the spring is stretched and released. a 1.00-kg block of wood rests on top of the first block. the coefficient of static friction between the two blocks of wood is 0.450. what is the maximum speed that this
Knowing the kinetic static force coefficient.
What is oscillation ?
Oscillation is the process by which a quantity or measure varies in time around its equilibrium value. Another definition of oscillation is the periodic variation of a substance between two values or around its central value.
What is kinetic force?
A force that acts between moving surfaces is referred to as "kinetic friction." A force acting in opposition to the direction of a moving body on the surface is felt. The two materials' coefficients of kinetic friction will determine how much force is applied.
For both blocks to oscillate together w^2=K/((M+M))
Maximum accelartion =a_(n= w^2 ) A= K/((M+M))A
For ⏊ kg block, μmg = 〖ma〗(n= ) μg
μg =K/((M+M))A
= 0.45×9.8 = 150/((2.1+1)) A
A=0.0914m
Max speed, vm=wA= √(k/(M+M)) A
=√(150/((2.1+1))) × 0.0914
= v(m=) 0.636 m/s
Therefore, the maximum speed is 0.636 m/s.
Learn more about oscillation from the given link.
https://brainly.com/question/12622728
#SPJ4
humans evolved in earth's atmosphere, therefore the pressures interior to the body are relatively close to atmospheric pressure. because the differences between internal body pressures and atmospheric pressure are so small, individuals have a difficult time gauging the magnitude of atmospheric pressure. suppose an individual is lying on his stomach with sheets of paper stacked on his back. if each sheet of paper has a mass of 0.004400.00440 kg and is the standard letter size of 8.5 in8.5 in by 11 in11 in ( 0.216 m by 0.279 m0.216 m by 0.279 m ), how many sheets must be stacked to produce a pressure on his back equal to atmospheric pressure (roughly 101325 pa101325 pa )?
A total of 151988 sheets of paper are required to be put on the individual so that it create a pressure of 1 atm.
We know that the pressure is given by the force applied on the area divided by the magnitude of the area.
Here, it is given that dimensions of the paper is 8.5 inch X 11 inch.
So the area of the paper is 93.5 in².
Converting inch square into metre square,
Area = 0.06m².
The mass of 1 sheet of paper is 0.004 kg.
So the force applied by the sheet of paper on the person will be equal to,
F = 0.004 × 10
F = 0.04 N.
Let us say that n number of sheets are required.
The pressure that is needed to be created is 101325 pascals.
Now,
Pressure = force/area
Putting the values,
101325 = N(0.04)/0.06
N = 151988.
So, total of 151988 sheets are required.
To know more about pressure, visit,
https://brainly.com/question/28012687
#SPJ4
in which direction should he proceed in order to decrease the temperature most rapidly? how do you know? b. if the ship travels at e 8 meters per second, how fast will the temperature decrease if he proceeds in that direction?
a) in the z direction he should proceed in order to decrease the temperature most rapidly
b) The temperature decrease in the rate of −2√14e2 if he proceeds in that direction.
Taking the gradient of TT yields ∇T(x,y,z)=⟨−2xe(−x2−2y2−3z2),−4ye(−x2−2y2−3z2),−6ze(−x2−2y2−3z2)⟩, where we get the direction of maximum increase of any point (x,y,z). As we're at (1,1,1) so the appropriate vector in order for the maximum decrease is
−∇T(1,1,1)=⟨2e6,4e6,6e6⟩≈⟨0.0049575,0.00991501,0.0148725⟩
we normalize the upper result giving us :
⃗ =−∇T(1,1,1)∥−∇T(1,1,1)∥=⟨−1/√14,−√2/7, −3/√14⟩, here we are getting the direction of and along with an angle
Now, if r(t) is a parametrized path, then d/dtT(r(t))= change in T(r(t)).r ′(t)), in order for heading to the direction of maximum decrease, so UV =∥u∥ ∥v∥cosθ in here θ=0. So, the rate of decrease is ∥∇T(1,1,1)∥e8=2/√14e2 or -2/√14e2
To know more about temperature refer to the link https://brainly.com/question/11464844?referrer=searchResults.
#SPJ4
The temperature of the ship's hull when he is at location (x,y,z) will be given by T(x,y,z)=e−x2−2y2−3z2, where x,y, and z is measured in meters. He is currently at (1,1,1).
(A) In what direction should he proceed in order to decrease the temperature most rapidly?
(B) If the ship travels at e8 meters per second, how fast will the temperature decrease if he proceeds in that direction?
Electromagnetic radiation consists of particles called , which exhibit both and particle behavior. The greater the momentum of a photon, the its wavelength.
Electromagnetic radiation consists of particles called photons, which exhibit both wavelike and particle-like behavior. The greater the momentum of a photon, the longer its wavelength.
What is electromagnetic radiation and what are photons?Electromagnetic radiation (or EM radiation) is energy that is transmitted through oscillating electric and magnetic fields at the speed of light. Electromagnetic radiation contains neither mass nor charge, but it travels in packets of radiant energy called photons. Electromagnetic waves carry energy and transfer it upon interaction with matter.
Electromagnetic radiation can take many forms, such as microwaves, infrared light, visible light, UV light, X-rays and the like.
Learn more about photons here: https://brainly.com/question/15946945
#SPJ4
According to the vespr model, the best arrangement of a given number of electron domains is _______.
According to the VESPR model, the best arrangement of a given number of electron domains is the one that reduces the repulsion among them.
The VESPR model is also known as VSEPR theory or the valence shell electron pair repulsion theory.
This model provides the 3D structure of the arrangement of electron in an atom.
According to this model, the valence shell electron are involved in the chemical bonding process.
The geometric picture of molecule shows that only valence shell electrons take part in bonding in an ion or a molecule.
If you need to learn more about electron click here:
https://brainly.com/question/860094
#SPJ4
what is a wavelength? a. The distance from the crest to its neighboring trough in a ways. b. The number of ways in a given period of time. c. The distance between two neighboring troughs in a wave. d. The direction of the wave
Wavelength is (c) the distance between two neighboring troughs in a wave.
What is wavelength?Wavelength is the separation between identical points (adjacent crests) in successive cycles of a waveform signal travelling through space or over a wire. Si unit of wavelength is meter. In wave motion, velocity of wave = wave length × frequency.
Hence, wavelength is a distance between two neighboring identical points such as troughs of a wave. so, option (c) is current answer.
Learn more about wavelength here:
https://brainly.com/question/13533093
#SPJ1