transient heat conduction in a semi-infinite solid the appropriate to use instead of the infinite solid?

The second student must push with a force greater than 150 N to cause the car to accelerate.

The net force on the car is the sum of all the forces acting on the car. The direction of the net force on the car will determine the direction of motion of the car.

According to Newton's second law of motion, the force applied to an object is directly proportional to the product of mass and acceleration of the object.

The net force on the car is calculated as follows;

F(net) = F - Ff

ma = F - Ff

where;

For the car to move, sum of the applied forces must be greater than the force of friction.

200 + F > 350

F > 350 - 200

F > 150

Thus, the second student must push with a force greater than 150 N before the car can accelerate.

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50 Newton is the total work done on the object.

d=5 cm

F= 10 N

work done=Fd

work done=5×10

work done=50 N

When moving an object over a distance, an external force must direct at least a portion of its force in the direction of the displacement. This is referred to as work done in physics. If the force acting along the path is constant, the amount of work can be calculated by multiplying the length of the path by the force's component. The work W is equal to the force f times the distance h to express this idea mathematically, or W = mgh. The work is W = mas if the force is applied at an angle to the displacement.

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To calculate the distance between the ships by formulas.

What constitutes speed?

The speed at which a position of an object changes in any direction. Speed is defined as the ratio of distance travelled to the amount of time needed to cover that distance. Because it only has a direction and no magnitude, speed is a scalar quantity.

What is distance?

Distance is an object's overall movement, independent of direction. Distance can be described as the amount of ground that an object has covered, regardless of its starting or ending points.

Known dx/dt= 35km/h

dy/dt= 25km/h

dz/dt when x=(4.35)= 140km and

y=(4.25) = 100 km

( then =[tex]\sqrt{100^2 + 240^2}[/tex] = 260 km)

∴ 100^2 ( x+y)^2 = Z²

0+∂(x+y)(dx/dt+dy/dt)=∂z(dz/dt)

=∂(140+100)(35+25)=∂(260)(dz/dt)

dz/dt= 55.4km/h

Therefore, the distance between the ships is55.4km/h.

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The width of the central maximum is 1.9×10-3 m.

For the distance L, where

light wavelength λ= 585 nm =585 x 10-9 m

Slit width yields sw =0.80 mm= 0.80 x 10-3 m

(a) First, we deduce that the minimum integer value m= 1 for the central maximum distance yields a minimum diffraction value from the center distance as Yc=0.95 mm 0.95 x 10-3 m. This relationship can be

calculation:-

yc=L sinθ=L(mλ/sw)  ----------(1)

Therefore, rearranging terms from the above equation, we get:

L=sw/λ(yc)

Whereby substituting initial values, the screen distance equation produces:

L=[(0.80×10-3)/(585×10-9)](0.95×10-3)

  =1.3 m

(b) Now, we deduce that the central maximum yields from equation (1):

W = 2 (yc)

Therefore, substituting initial values, we get:

W = 2 (0.95 x 10-3 m)

   =1.9×10-3 m

Wavelength is the distance among the same points (adjacent crests) within the adjoining cycles of a waveform signal propagated in space or along a wire. The wavelength is the distance between two wave crests, and it will likely be the same for troughs. The frequency is the number of vibrations that bypass a given spot in a single.

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The floor normally presses down on the carton with a force of 1049.67N.

The box normally applies 667.08 N of force to the person.

A perpendicular force that acts on two surfaces that are touching. It stands in for the pressure pressing the two surfaces together. With the size of the usual response force, the value of limiting friction grows. If the weight is the only vertical force acting on an object that is lying or moving on a horizontal surface, While acting in the opposite direction from the weight, the normal response force is of identical size. Raising the weight results in increased friction.

Given,

The crate's mass, mp=68kg, is maintained on a horizontal floor.

mc=39kg is the mass of the guy standing above the crate.

(a) determine the normal force the floor applies to the crate:

N =(mc+mp)g

N =(39kg+68kg)×9.81m/s²

N = 1049.67kg⋅m/s² [tex]\frac{1N}{1Kg.m/s^{2} }[/tex]

N = 1049.67N

∴ The floor normally presses down on the carton with a force of 1049.67N.

(b) determine the typical force the crate would apply to the person:

N = mp g

N = 68kg×9.81m/s²

N = 667.08m/s² [tex]\frac{1N}{1Kg.m/s^{2} }[/tex]

N = 667.08 N

∴ The box normally exerts 667.08 N of force on the person.

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Answer:408

Explanation:

Answer:

  382.2 N

Explanation:

You want the normal force on an object weighing 437 N situated on an inclined plane 29° from the horizontal.

The vector 437 N straight down can be decomposed to vectors parallel to the plane and perpendicular to the plane. That decomposition looks like ...

  (perpendicular, parallel) = 437 N · (cos(29°), sin(29°)) ≈ (382.2, 211.9) N

The normal force on the object is about 382.2 N.

A block of mass 0.260 kg is placed on top of a light, vertical spring of force constant 5 025 n/m and pushed downward. After the block is released, the spring will travel upward to the maximum height of 10.86 meters.

The relation between the potential energy on a string and the length it stretches is given by:

E = 1/2 . kx²

Where:

k  = spring constant

x = spring stretch or compression

In the given problem:

k = 5,025 N/m

x = 0.106 m

Hence,

E = 1/2 . 5025 . (0.106)²

m . g . h =  1/2 . 5025 . (0.106)²

Where;

m = mass

h = height from the release point.

Hence,

0.260 x 10 x h = 28.23

h = 10.86 m

Therefore, the spring will travel upwards up to 10.86 m

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The speed at 7.0 m along the x-axis is  4.24 m/s.

the rate at which the location of an object changes in any direction. The ratio of distance traveled to the time required to travel that distance is known as speed. Considering that speed only has a direction and no magnitude.

given,

speed of the object at origin = 4 m/s

potential energy at origin = 10 J

mass of the object = 2 kg

potential energy at 7 m = 8 J

since the system is conservative so it'll follow the conservation of energy

that is,

initial energy = final energy

kinetic energy = 0.5 ×m× v²

initial potential energy + initial kinetic energy = final potential energy + final kinetic

energy

10+ 0.5 × 2 × 4² = 8 + 0.5 × 2 × v²

v = 4.24 m/s

speed at 7m = 4.24 m/s.

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Answer:C) he does less work coming back because the force moving the wagon is only 50cos30

Explanation: got it right on edge

The amount of work Trevor performs going to the corner compared with the amount of work he performs coming back is that   he does less work coming back because the force moving the wagon is only 50cos30°

Since the formula, we refer to for calculating the work, when the angle is applied is:

Wₓ = W cos θ, where for the case the  θ is  30  and W is 50

Since the force done is  parallel to the motion's direction, and the work  has a larger magnitude, the work done in order of pulling the wagon back to the starting point is less than the work done in pulling the  wagon to the corner, as  the reason is for the  angle of 30 degrees in pulling it back

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The distance of the image is 26.67 cm

The magnification is -1.67

The image is real

The image is inverted

The focal length of the concave mirror = 10 cm

The distance of the object from the concave mirror = 16 cm

                 1/p + 1/q = 1/f

where p is the distance of the object

          q is the distance of the image

          f is the focal length

                  1/q = 1/f - 1/p

                  1/q = (p - f)/fp

                    q = fp / (p - f)

                    q = 16 x 10 / ( 16 - 10)

                       = 160 / 6

                       = 26.67 cm

The distance of the image from the concave mirror is 26.67 cm

                  M = -q/p

where M is the magnification

                 M = -26.67 / 16

                     = -1.67

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The speed of this child from this surface would be 14.69 m / s

We have the formula for energy conservation as:

E - potential = E - kinetic

We have the following details with which we are to solve the problem

weight of child w = 350 N

length of rope L = 7.2m

angle θ = 12 degrees

we would have the solution as

m x 9.8m/s² x (10.2 + 1.79 - 7.2 x cos 12) = 1/2 mv²

we would have to solve out the expression that we have above. Such that :

9.8m * (11.99 - 0.9781) = 1/2 mv²

107.9 m = 1/2 mv²

cancel out m

107.9 = 0.5v²

divide through by 0.5

107.9 / 0.5 = v²

215.8 = v²

v = √215.8

v = 14.69

Hence the speed of the child at the surface of the water would be given as 14.69 m / s

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If the star radiates uniformly in all directions, the total power output of the star is 2.37 x 10²⁷ W.

The formula for the intensity of the light at a distance R from the source of light (which is star in this case) is given by,

I = P/A

I is the intensity,

P is the power,

A is the area.

We can write,

P = IA

Intensity is given to be 15.4 W/m².

A = πR²

Here, we will take the value of R is 7 x 10¹² m.

So,

A = π( 7 x 10¹²)²

Putting the values,

P = IA

P = 15.4 x π x ( 7 x 10¹²)²

P = 2.37 x 10²⁷ W.

The power output of the star is 2.37 x 10²⁷ W.

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The time for that contact force is 0.00038 s.

An impulse is a surprising pressure or choice — this will be an electrical impulse or an impulse to get a few pizzas. if you act on an unexpected feeling or concept, you're following an impulse. it's like a whim: an impulse is not something you have given quite a few concepts. The impulse of pressure is the product of the resultant pressure ΣF and the length of this force Δt if the pressure is constant. The impulse of pressure is the purpose of changes to movement and consequently changes to momentum.

Momentum is a vector amount that has an equal path to the velocity of the item. the amount of force accelerated by the time it's far implemented is called impulse. Impulse is a vector quantity that has an equal path to the pressure. Momentum and impulse have equal gadgets: kg·m/s

Calculation:-

mass =  45.93 g = 0.046 kg

velocity =  74.22 m/s

Impulse = Change in Momentum

Ft = mv

t =  0.046 ×  74.22 / 8896

= 6455.696 N

= 3.8 × 10⁻⁴ Sec

Therefore, the time for that contact force is 0.00038 s.

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Yes, a spectrophotometer can be used to measure the absorption of a particular wavelength of light that is not visible to a normal human eye.

Even though we can't directly perceive this light's absorption, it can be quantified. We may calculate concentration by using a spectrophotometer, which detects the absorption of light at particular wavelengths (whether visible or not) by a solution. The number of chemicals in a solution or the amount of light absorption may be measured using the common and affordable method of spectrophotometry.

Each substance in the solution either absorbs or transmits light over a certain wavelength when a light beam is directed through the sample. Combining them with colored derivatives that are visible and measurable. Another is that colorless substances typically absorb light from the part of the spectrum that is invisible to the unaided eye, as measured by a spectrophotometer.

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a ) When they reach the ground, rock B has greater velocity.

b ) Both rocks have the same acceleration

c ) Rock A and Rock B arrives at the same time

According to law of conservation of energy,

1 / 2 m u² + m g hi = 1 / 2 m v² + m g hf

u = 0

hf = 0

m g hi = 1 / 2 m v²

v = √ ( 2 g / m ) √ hi

v ∝ √ hi

a ) hi of rock A will be higher because it reaches a certain height above the ground which will be considered as initial height for rock A. So, the final velocity of rock A is higher.

b ) Both the rock are affected by only the force of gravity. So they will have the same acceleration of 9.8 m / s²

c ) If air resistance is ignored,

s = u t + 1 / 2 at²

For an object that is dropped,

u = 0

a = g

s = at² / 2

t = √ ( 2 s / g )

It can clearly be seen that no matter what height an object might be dropped from, if air resistance is ignore they will fall at the same time.

Therefore,

a ) When they reach the ground, rock B has greater velocity.

b ) Both rocks have the same acceleration

c ) Rock A and Rock B arrives at the same time

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Answer:

A quality of matter that is unrelated to a change in its chemical makeup is called a physical property.

Examples of physical properties of matter:

Physical properties are any qualities of matter that may be felt or seen without changing the sample's chemical composition.

Due to the wide range of features that make up physical attributes, they are further separated into intensive and extensive as well as isotropic and anisotropic categories.

Any characteristic that can be recognized and measured by sight, hearing, touch, smell, or other senses without evoking a chemical reaction is referred to as a physical property. Examples of physical traits are:

Color, Shape, Volume, Density, Calorific value, Boiling point, Viscosity, Pressure, Solubility, electrical current

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When the amplitude varies, it means twice as much.

Simple harmonic motion, such the swinging of a pendulum or the weight of a weight on a spring, produces a sinusoidal relationship between position and time. Sound and water waves, for example, can be visualized as sinusoids.

Given:

if the string is given four times as much power.

According to the power that a sinusoidal wave on a stretched string transmits,

P =[tex]\frac{1}{2}[/tex] μω^A^2v

Where  μ=mass per unit length, w= angular speed, A= amplitude, v= wave speed, P= power delivered.

P ∝[tex]A^{2}[/tex]

Here, the only terms we need are power and amplitude.

A =K[tex]\sqrt{P}[/tex]

Where K is constant

Here, "power become quadruple" refers to four,

A = [tex]\sqrt{4P}[/tex]

A =2 [tex]\sqrt{P}[/tex]

Therefore, an increase in amplitude by a factor of two is equivalent to a twofold increase.

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According to the first law of thermodynamics, work done by a system will cause decrease in the internal energy, assuming that no heat is transferred to or from the system.

First law of thermodynamics says that energy can neither be created nor it can be destroyed, it can only be transferred from one form to another form. This is also a law of conservation of energy.

It means if there is any work done by any system then that system has burned its energy to do the work. so when energy is used to do the work , there will be decrease in the internal energy of the system, and that will be equal to the workdone.

ΔU = ΔW

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The reason for the first graph is because of the effects of deceleration and acceleration due to gravity while the arrangements of the graphs are; B> D > A> C.

When we plot a graph, the graph would always have to axes; the vertical axis and the horizontal axis. In this case, the vertical axis is the position and the horizontal axis is the time. The slope of this graph speaks of the displacement of the object.

Looking at the first graph, we can see that it can be able to show the motion of an object that went up and fell down as the speed of the object would decrease during the upward motion as it is decelerated due to gravity and comes to a halt at the maximum height before it is accelerated as it moves downwards.

From the graphs, the ranking of the displacements for the second set of graphs as; B> D > A> C. This is because there is a positive slope in B and D while the slope in A is zero and that in C is negative.

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Using these formulas, determine the normal and static friction forces acting on the mountain goat.

What is normal force?

The normal force is the pressure that surfaces apply to stop solid objects from piercing one another. The normal force is a force in contact. Two surfaces cannot exert a normal force on one another if they are not in contact.

What exactly is static friction force?

An object experiences static friction when a force is applied to it; as a result, the object resists the applied force and stays at rest until static friction is removed. In kinetic friction, the frictional force opposes an object's motion.

Given:

The 60° angle from horizontal

900 N is the weight of the mountain goat.

To calculate the normal force, the weight perpendicular to the tilt must be resolved. As a result, we can write:

N = W CosΘ

= 900 N(Cos 60°)

= 900 N(0.5) (0.5)

= 450 N

The forces acting in conjunction with the inclination must all be added to determine the static friction force. We document:

F = W sinΘ

= 900 N(sin 60°)

= 900 N(0.8660254038) (0.8660254038)

= 779.42 N

Therefore, the normal force is 450 N, and the static friction force is 779.42 N.

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The immune system is a complex network of organs, cells, and proteins that protect the body's own cells while defending it against infection.

The immune system keeps a record of every germ (microbe) it has ever defeated in order to quickly recognize and destroy the microbe if it re-enters the body.

The immune system, unlike the heart or the brain, does not have a centralized location in the body. Instead, immune system cells are produced in organs throughout the body, including the tonsils, lymph nodes, spleen, bone marrow, and adenoids.

Our immune system also weakens with age, as immune system tissues shrink and our white blood cell count and activity decrease.

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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.

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.

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We can contrast distant galaxies with nearby galaxies.

Although scientists are unsure of the universe's actual age, we estimate that it is somewhere between 13 and 14 billion years old. In order to determine the age of the universe, astronomers use two different methods: (a) searching for the earliest stars; and (b) measuring the universe's rate of expansion and projecting it back to the Big Bang.

The amount of time it took for the galaxies to get to their current distances is therefore t=D/v. However, we know that v=H0D because to Hubble's Law. Therefore, t=D/v=D/(H0D)=1/H0. Thus, 1/H0 can be used as a rough estimate for the  age of the Universe.

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The force (F) exerted on the mower of mass 24 kg is 2.125 N and The distance the mower will travel when before it stopping when F is removed is 0.53m.

Force can be defined as the product of mass and acceleration.

To calculate the force the person is exerting on the mower, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Also, To calculate the distance the mower will move before stopping, We need to first find the acceleration of the mower using the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 2

Finally, we use the formula below to calculate the total distance the mower will travel before stopping

Formula:

Where:

From the question,

Given:

Substitute these values into equation 3

Hence, the force exerted on the mower is 2.125 N and the distance the mower will travel before it stops is 0.53m.

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T[tex]_{C}[/tex] = 25 + 273.15 = 298.15K

T[tex]_{H}[/tex] = 477 + 273.15 = 750.15K

And by replacing Carnot efficiency:

e = 1 - [tex]\frac{298.15}{750.15}[/tex] = 0.39475 = 39.47%

W[tex]_{max}[/tex] = e × Q[tex]_{H}[/tex] = 0.39475 × 65000[tex]\frac{KJ}{min}[/tex] = 25658.75  [tex]\frac{KJ}{min}[/tex]

The United States (and its connected territories) and some Caribbean countries frequently use the Fahrenheit temperature scale, which bears the name of German physicist Daniel Gabriel Fahrenheit. Water freezes at 32°F and boils at 212°F according to the Fahrenheit scale (at sea level).

Nearly every other country uses the Celsius temperature scale, which was previously called centigrade before being changed for Swedish astronomer Anders Celsius. Water freezes at 0°C and boils at 100°C on the Celsius scale (at sea level).

For this case we can use the fact that the maximum thermal efficiency for a heat engine between two temperatures are given by the Carnot efficiency:

e = 1 - frac T[tex]_{C}[/tex]T[tex]_{H}[/tex]

We have on this case after convert the temperatures in kelvin this:

T[tex]_{C}[/tex] = 25 + 273.15 = 298.15K

T[tex]_{H}[/tex] = 477 + 273.15 = 750.15K

And replacing in the Carnot efficiency we got :

e = 1 - [tex]\frac{298.15}{750.15}[/tex] = 0.39475 = 39.47%

And the maximum power output on this case would be defined as:

W[tex]_{max}[/tex] = e × Q[tex]_{H}[/tex] = 0.39475 × 65000[tex]\frac{KJ}{min}[/tex] = 25658.75  [tex]\frac{KJ}{min}[/tex]

Where [tex]Q_{H}[/tex] represent the heat associated to the deposit with higher temperature

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Answer:

False, In contrast to diffuse reflection, specular reflection violates the laws of reflection. Normal reflections are parallel to the surface of a flat mirror. The law of reflection only applies to flat surfaces. Convex mirrors serve as passenger door mirrors in cars.

The law of reflection states that the angle of incidence & angle of reflection is identical. A smooth finish causes a specular reflection of light. Since incident rays are parallel, reflected rays must also be parallel. Light striking a rough surface causes diffuse reflection.

The two principles governing specular reflection are,

1. At the point of incidence, the incidence angle, the reflected ray, as well as the normal towards the reflecting interface all lie in the very same plane.

2. The angle of incidence and reflection are equal.

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Incorporating physical activity into your everyday routine is one approach to care for your skeletal system.

Walking, running, and climbing stairs are all weight-bearing workouts that can help you grow strong bones and reduce bone loss. Substance misuse should be avoided.

The human skeleton is the body's internal framework. It is made up of around 270 bones at birth, which lowers to approximately 206 bones by adulthood as certain bones fuse together.

It is to be noted that the skeleton's bone mass accounts for around 14% of total body weight and achieves maximal density around the age of 21.

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a) The frequency of fundamental mode of vibration of steel piano is 400Hz.

b) The number of the highest harmonic that could be heard by a person is 24ᵗʰ.

In the given question we have,

lenth of steel piano wire (L) = 0.4 m

tension/ force on steel piano (T) = 800N

mass of steel piano (m) = 3g = 0.003 kg

We shall find out the frequency of fundamental mode of vibration of steel piano.

Fundamental Frequency of object depends on wave speed in turn which depend on tension .

Using Fundamental Frequency,

f₁ = v/2L

where , v---> wave speed

f₁ ---> fundamental frequency

L ---> length of wire

Firstly, we have to find out the value of wave speed.

For determining the wave speed we use following relation,

v = sqrt ( T/ μ )

where, v---> wave speed

T ---> Tension or force

μ ----> mass per unit length = m/L

Now, put all given values in formula

μ = m/L = 0.003/0.4 kg/m =

v = √800×0.40/(3× 10⁻³) = 327m/sec

fundamental frequency (f₁) = 327/(2×0.4 )

= 400Hz

b) The nth harmonic has frequency , fₙ = n f₁

wher, f₁---> fundamental frequency

fₙ----> highest frequency

n ----> harmonic number

fₙ = 10,000 Hz , f₁ = 409Hz

put in above formula, 10,000 = n × 409

=> n = 100/4 = 24.4

So, 24th harmonic is the highest harmonic that could be heard by a person who is capable of hearing frequenies upto 10,000Hz.

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