The formula for destructive interference is given as:2t = (n + 1/2)λ
where t = thickness of oil n = integer (0, 1, 2, 3, ...)λ = wavelength of light
For the maximum value of λ, we have to assume n = 0.
Hence,2t = 1/2 λ ⇒ λ = 4t nm
Hence, the longest wavelength of light that will undergo destructive interference is 4t nanometers.
In this question, we used the formula for destructive interference, which is given as 2t = (n + 1/2)λ, where t is the thickness of the oil, n is an integer (0, 1, 2, 3, …), and λ is the wavelength of light. We can see that the thickness of the oil and the wavelength of light are related to each other through this formula.
To find the longest wavelength of light that will undergo destructive interference, we assume n = 0 because it will give the maximum value of λ. When we substitute n = 0 in the formula, we get 2t = 1/2 λ.
We can simplify this expression to get λ = 4t nm. This means that the longest wavelength of light that will undergo destructive interference is 4 times the thickness of the oil in nanometers. Therefore, we have successfully found the solution to this problem by using the formula for destructive interference.
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when the voltage on each side of the charge indicator lamp is equal (between the lamp and the diode trio), there is no current flow through the lamp and the lamp is turned off
true
false
When the voltage on each side of the charge indicator lamp is equal (between the lamp and the diode trio), there is no current flow through the lamp and the lamp is turned off. The answer is true.
When the voltage on each side of the charge indicator lamp is equal, this means there is no potential difference across the lamp. As a result, no current flows through the lamp, and the lamp remains turned off. In this case, according to Ohm's Law (V = IR), if the voltage is zero, the current flowing through the lamp would also be zero (I = 0), and the lamp would be turned off. The equal voltage on both sides of the lamp ensures that there is no potential gradient to drive any current through it, resulting in the lamp remaining inactive.
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Work is best described as?
Answer:
Explanation:
In physics, work can be described as force multiplied by the displacement of the object (distance caused by the force acted on the object).
Work is a form of energy, therefore, it is measured in joules.
If Alex pushed on an object with 10N of force, and the object moved 2 meters, the work of Alex will be equal to:
W = Ft
W = 10N * 2m
W = 20 Joules
But, if we have John, that pushed on an object with 2N of force, but, since the object was way smaller, therefore it had way less inertia, the object moved a distance equal to 10 meters. Let's also calculate his work.
W = Ft
W = 2N * 10m
W = 20 Joules
And we got the same result.
Work can also be used to calculate power.
Power is equal to P = Work / time
It can also be written as P = delta Work / delta time
Power is measured in joules per second.
With power you can make the difference between someone that got a 2 kg object up in 2 second, and someone that got a 2 kg object up in 5 second.
The more powerful one would be the one who managed to make the same work in less time.
Hope it Helped!
Work is described as: the measure of energy transfer resulting from the application of force over a displacement.
What is Work?In the field of physics, work is most accurately defined as the outcome of multiplying the force exerted on an object by the distance the object is displaced in the same direction as the force.
This calculation serves to quantify the energy transferred to or from the object. For instance, if an individual applies a 50 Newton force to push a box across a 5-meter distance in the force's direction, the work done on the box would equal 250 Joules (50 N × 5 m).
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What benefits can you gain as you engage yourself with latin dances?
Answer:
hispanic popularity
Explanation:
:)
hey plz solve this question I will mark as the brillianest plzzzzzzzzzzzzzzzzzzzz
Explanation:
I hope it helped U
stay safe stay happy
Help please!!
Daryl uses a microphone connected to an oscilloscope to study sound waves. He finds that higher pitched sounds have higher frequencies and shorter wavelengths while lower pitched sounds have lower frequencies and longer wavelengths. Daryl concludes that the relationship between the frequency and the wavelength of sound waves in air is the result of causation and not correlation. In two to three sentences, describe whether Daryl's conclusion is correct and explain why or why not.
In my opinion, the relationship between the frequency and the wavelength of sound waves in air is the result of correlation.
Relationship between frequency and wavelengthFrequency and wavelength are inversely proportional to each other which means if the frequency increases the wavelength decreases and when the frequency decreases, the wavelength increases.
So we can conclude that the relationship between the frequency and the wavelength of sound waves in air is the result of correlation.
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Daryl's conclusion about the relationship between frequency and wavelength is accurate because this is the result of causation.
What is the difference between causation and correlation?Causation implies one factor is the cause of another. For example, plants' need for the sun causes them to grow towards the sun.
On the other hand, correlation occurs if two factors are related and therefore the increase in one factor affects the other. For example, the amount of daylight affects plants' photosynthesis rate.
Are frequency and wavelenght an example of causation or correlation?These two factors are an example of causation because a higher frequency in waaves leads to shorter wavelenghts and vice-versa.
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Consider the diagram for the following questions.
What do the red circles labeled q1,q2,q3 represent
What do the lines labeled A and B represent?
Answer:
1) Charges
2) Vectors
Answer:
charges
vectors
Explanation:
edg never lies
how does adjusting the slit width change the diffraction envelope? how does adjusting the wavelength change the diffraction envelope?
Adjusting the slit width impacts the overall width and intensity of the diffraction envelope, while adjusting the wavelength affects the spacing and intensity of the fringes within the diffraction pattern.
Adjusting the slit width in a diffraction experiment affects the diffraction envelope by changing the overall width and intensity of the resulting diffraction pattern. A narrower slit width leads to a broader diffraction pattern, while a wider slit width produces a narrower diffraction pattern. Additionally, a narrower slit width results in a higher intensity central maximum, while wider slits result in lower intensity central maxima and higher intensity secondary maxima.
On the other hand, adjusting the wavelength of the incident light affects the spacing of the fringes in the diffraction envelope. A shorter wavelength produces fringes that are closer together, resulting in a wider diffraction pattern. Conversely, a longer wavelength leads to fringes that are more widely spaced, resulting in a narrower diffraction pattern. The wavelength also affects the overall intensity of the diffraction pattern, with shorter wavelengths typically producing higher intensity fringes.
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A dense mix of dry, hot rock fragments and hot gas erupting from volcanic vents at high speed is pyroclastic flow. lahar. fumarole. tephra.
Magma is called for the dense mix of dry hot rock fragments and hot gas erupting from volcanic vent at high speed.
What is magma?Magma is the extremely hot liquid and flows under the surface of the earth. When this liquid comes out to the surface of earth, then called as lava.
Gas bubble, making up to lave are energetic in nature, because they keep on expanding in all directions, they will go all out to the only open are of a volcano, the vent, in an upward direction.
Hence Magma is called for the dense mix of dry hot rock fragments and hot gas erupting from volcanic vent at high speed.
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3. What exerts a greater force on the table of 2 kg book lying flat or a 2 kg book on its
side? Which applies greater pressure? If the book measures .3m x.2 m x.05m Calculate
the pressure applied in each situation.
Answer:
A book on its side exerts a greater force.
Explanation:
Pressure = Force / Area
Assuming that 1kg = 10N
2kg = 20N
Area of book lying flat = 0.3m × 0.2m
= 0.6m²
Pressure of book lying flat = 20N / 0.6m²
= 30Pa (1 s.f.)
Area of book on its side = 0.2m × 0.05m
= 0.01m²
Pressure of book on its side = 20N / 0.01m²
= 2000Pa (1 s.f.)
Since 2000Pa (1 s.f.) > 30Pa (1 s.f.), a book on its side applies greater pressure than lying flat.
a series consist of an inductor having reactance of 80 a 40 resistor a capacitor whose reactance is 100 and an as source the rms current in the circuit is measured to be 2.2 A what is the voltage amplitude of the source
The voltage amplitude of the source is approximately 98.3 V.
To find the voltage amplitude of the source in this series circuit with an inductor, resistor, and capacitor, we need to follow these steps:
1. Calculate the total impedance (Z) of the circuit using the formula Z = √[(R^2) + (XL - XC)^2], where R is resistance, XL is inductive reactance, and XC is capacitive reactance.
2. Calculate the voltage amplitude (V) using Ohm's Law: V = I * Z, where I is the RMS current.
Given values:
- Inductive reactance (XL) = 80
- Resistance (R) = 40
- Capacitive reactance (XC) = 100
- RMS current (I) = 2.2 A
Step 1: Z = √[(40^2) + (80 - 100)^2] = √(1600 + 400) = √2000 ≈ 44.7 ohms
Step 2: V = 2.2 A * 44.7 ohms ≈ 98.3 V
The voltage amplitude of the source is approximately 98.3 V.
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Why is it important that water is present within the cell?
a
water is the universal solvent
b
с
water has a low heat capacity
water can deactivate carbon dioxide
water has a high density
Answer:
water has a low heat capacity
Explanation:
Based on astronomy from space-based telescopes, select all of the correct statements from the following list. 1.Most types of electromagnetic waves are not visible to ground-based telescopes.
2.There would be no limit to what an optical telescope in space could see.
3.Enough infrared energy gets to Earth's surface that infrared telescopes do not need to be put in orbit.
4.The Chandra and Spitzer telescopes are all in space.
5.The Hubble Space Telescope makes observations at all wavelengths.
6.Cosmic rays are the absolute highest-energy type of electromagnetic wave.
7.Earth's atmosphere has no effect on visible light, so there is no need to place an optical telescope in space.
The correct statements are:
1.Most types of electromagnetic waves are not visible to ground-based telescopes.
2.There would be no limit to what an optical telescope in space could see.
3.The Chandra and Spitzer telescopes are all in space.
Why are most types of electromagnetic waves are not visible to ground-based telescopes?Ground-based telescopes are limited by the Earth's atmosphere, which absorbs or scatters many types of electromagnetic radiation. Only a narrow range of wavelengths, including visible light, radio waves, and some infrared and ultraviolet radiation, can penetrate the atmosphere and be observed from the ground.
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Given: NM 1 XZ
Prove: AXYZ- ANYM
N
Try 11
X
Z
M
We know that side NM is
to side
XZ. If we consider side NY the transversal for these
parallel lines, we create angle pairs. Using the
we can state
that YXZ is congruent to YNM. We know that angle
XYZ is congruent to angle
by the reflexive
property. Therefore, triangle XYZ is similar to triangle
NYM by the
similarity theorem.
F
The prove of Angle XYZ- Angle NYM is given below:
∠XYZ is congruent to ∠NYM - reflexive property. ΔXYZ is the same with Δ NYM,- AA (angle-angle) similarity theorem.What is the triangle about?Note that from the image given;
NM // XZNY = transversal line∠YXZ ≡ ∠YNMSince ∠XYZ is said to be congruent to ∠NYM it can be proven by the use of the reflexive property.
The reflexive property is one that informs that any shape is regarded congruent to itself.
Since ∠NYM has a different way to call ∠XYZ that uses a different vertexes, but the sides are made up of the two angles which are said to be the same.
Therefore , ∠XYZ ≡ ∠NYM are proved by the reflexive property.
Since ΔXYZ is the same with Δ NYM, it can be proven by the AA (angle-angle) similarity theorem.
We have 2 angles Δ XYZ and Δ NYM:
Note that ∠YXZ ≡ ∠YNM
∠XYZ ≡ ∠NYM
So, ΔXYZ is said to be the same to ΔNYM and it is proven by the AA similarity theorem.
Therefore, The prove of Angle XYZ- Angle NYM is given below:
∠XYZ is congruent to ∠NYM - reflexive property. ΔXYZ is the same with Δ NYM,- AA (angle-angle) similarity theorem.Learn more about triangles from
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Answer:
1. parrael
2. corresponding angles theorem
3. NYM
4. AA
Explanation:
just took it
a 100 kg shot-putter pushes on a 4 kg shot with a force of 500 n forward and a force of 866 n upward. how large is the resultant force acting on the shot?
A 100 kg shot-putter pushes on a 4 kg shot with a force of 500 n forward and a force of 866 n upward, the resultant force acting on the shot is: 1000.42 N
Given,
mass of the shot-putter (m) = 100 kg
mass of the shot (M) = 4 kg
force along the x-axis (F_x) = 500 N
force along the y-axis (F_y) = 866 N
The force acting on the shot is the resultant force of F_x and F_y.
The resultant force acting on the shot is given by the equation
R = √(F_x² + F_y²)
R = √(500² + 866²)
R = √(250000 + 750856)
R = √1000856
R = 1000.42 N
Therefore, the resultant force acting on the shot is 1000.42 N. The force acting on the shot is the resultant of F_x and F_y. The shot is moved by this force.The given problem can be solved using Newton's laws of motion. To understand the resultant force acting on the shot, we need to understand what the hot-putter does.
He applies force to the shot along both the x and y axes to move the shot forward. Thus, the resultant force of both the forces is the actual force that the shot experiences. It is worth noting that this resultant force is different from the forces applied by the hot-putter, but it causes the shot to move.
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A 0.039 kg bullet moving at 475 m/s strikes a stationary 5.7 kg wooden block. The bullet passes through the block and leaves with a velocity of 284 m/s. If the block was originally at rest, how fast does it move after being hit by the bullet?
use units and work out
The velocity of the block after it is hit by the bullet is 1.307 m/s.
What is velocity?Velocity is the rate of change of displacement.
To calculate the velocity of the block after it is hit by the bullet, we use the formula below.
Formula:
v = (mU-mV)/M............. Equation 1Where:
v = Final velocity of the blockU = Initial velocity of the bulletV = Final velocity of the bulletM = Mass of the blockFrom the question,
Given:
m = 0.039 kgM = 5.7 kgU = 475 m/sV = 284 m/sSubstitute these values into equation 1
v = [(0.039×475)-(0.039×284)]/5.7v = (18.525-11.076)/5.7v = 1.307 m/sHence, the velocity of the block is 1.307 m/s.
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Find the work (in foot-pounds) done by a force of 3 pounds acting in the direction 2i +3j in moving an object 4 feet from (0,0) to (4, 0)
The work done by the force of 3 pounds acting in the direction 2i + 3j in moving an object 4 feet from (0,0) to (4, 0) is 12 foot-pounds.
We can now find the work done using the formula:
Work Done = Force x Displacement x Cosine of the angle between the force and displacement vectors
The force is 3 pounds in the direction 2i + 3j.
The force vector is the vector sum of its components i.e,3 (2i + 3j) = 6i + 9j
The angle between the force and displacement vectors is 0 degrees (since they act in the same direction).
Hence, the work done is given by:
Work Done = 3 x (4i) x cos 0°= 3 x 4 x 1= 12 foot-pounds
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The work done by the force of 3 pounds acting in the direction 2i + 3j in moving an object 4 feet from (0, 0) to (4, 0) is approximately 5.66 foot-pounds.
Given force is F = 3 pounds
Moving an object 4 feet from (0,0) to (4,0)
The direction in which the force acts = 2i+3j
First, we need to find the displacement of the object i.e., distance from (0, 0) to (4, 0).
We have,
Displacement = √[(4 - 0)² + (0 - 0)²]
Displacement = √(16)
Displacement = 4 feet
Now, the work done by the force is given by the formula:
Work done = Force x Displacement x cos θ
where θ is the angle between force and displacement
We have given,
F = 3 pounds
The displacement of the object is 4 feet
The direction in which the force acts is 2i + 3j
Let's find the displacement of the object using the distance formula:
Displacement = √[(4 - 0)² + (0 - 0)²]
Displacement = √(16)
Displacement = 4 feet
Let's find the angle between force and displacement:θ = tan⁻¹(3/2)θ = 56.31°
Now, we can find the work done by the force using the formula:
Work done = Force x Displacement x cos θ
Work done = 3 x 4 x cos 56.31°
Work done ≈ 5.66 foot-pounds
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if a 50 N block is resting on a steel table with a coefficient of static friction
If F = 37 N, the static frictional force between the block and the table and the minimum force required to move it must be equal.
How is the minimum force of static friction determined?It is the force that regulates itself. The value of static friction varies from zero to the smallest force required to initiate motion. The formula for determining static friction is as follows: Normal Force divided by the static friction coefficient is static friction.
Is weight equivalent to static friction?Although the maximum static friction will rise, the frictional force will always be the same as the weight in mg because friction cannot accelerate an object. Because FrN can take any value less than N to balance the weight, this is the case.
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What is the mean of 4, 6, 8, 20, 12?
10
00
5
Answer:
mean= sum of all values/ total no. of values
values given= 4,6,8,20,12
= 4+6+8+20+12/5
=50/5=10
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PLZ MARK AS BRAINLIEST
where is the point of maximal impulse (pmi) normally located
The point of maximal impulse (PMI) is normally located on the chest wall where the heartbeat is most prominently felt. It corresponds to the area on the chest where the left ventricle of the heart is in contact with the chest wall during systole (contraction phase of the heart). The PMI is typically found in the fifth intercostal space, just medial to the midclavicular line. In other words, it is often felt or observed slightly below the left nipple.
However, it's important to note that the location of the PMI can vary depending on factors such as the individual's body habitus, heart size, and certain cardiac conditions. In some cases, the PMI may be displaced due to factors such as enlargement of the heart or underlying heart conditions. Therefore, it's always best to consult a healthcare professional for accurate assessment and interpretation of the PMI.
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Please answer all these questions to get brainly!
Two identical long wires of radius a = 2.80 mm are parallel and carry identical currents of i = 5.00 A in opposite directions. Their center-to-center separation is W = 19.0 cm. Neglect the flux within the wires but consider the flux in the region between the wires. What is the inductance per unit length of the wires?
Answer:
Inductance per unit length, \(\frac{L}{l} = 7.02 * 10^{-7} H/m\)
Explanation:
Radius of the wire, a = 2.80 mm
Currents carried by each of the wires, i = 5.00 A
Center-to-Center Separation, W = 19.0 cm
The flux in the wires is given by the equation, ∅ = Li
The Net flux of the region between the wires is given by the equation:
\(\phi = \frac{l \mu_0 i}{\pi} ln(\frac{W-a}{a})\)
Divide both sides by l to get the net flux per unit length
\(\phi/l = \frac{ \mu_0 i}{\pi} ln(\frac{W-a}{a})\\\phi/l = \frac{ 4 \pi * 10^{-7} i}{\pi} ln(\frac{0.019-0.0028}{0.0028})\\\phi/l = 7.02 * 10^{-7} i\\\frac{Li}{l} = 7.02 * 10^{-7} i\\\frac{L}{l} = 7.02 * 10^{-7} H/m\)
What is the summary of statistical thermodynamics?
Statistical thermodynamics, also known as statistical mechanics, is a branch of physics that provides a comprehensive framework for understanding the behavior of systems consisting of a large number of particles.
It connects the microscopic properties of individual particles, such as atoms or molecules, with the macroscopic properties of the system, such as temperature, pressure, and entropy.
The fundamental concept of statistical thermodynamics is the ensemble, which is a collection of a large number of virtual copies of the system in various possible states. By studying the statistical distribution of these states, we can derive important thermodynamic quantities, such as energy, heat capacity, and free energy. This approach relies on probability theory and statistical methods to describe the behavior of systems at equilibrium or near equilibrium.
Statistical thermodynamics also emphasizes the importance of energy levels and their occupation probabilities. It is based on two main principles: the principle of maximum entropy, which states that a system in equilibrium tends to maximize its entropy, and the principle of equal a priori probabilities, which states that all accessible microstates of a system are equally probable at equilibrium.
Overall, statistical thermodynamics plays a crucial role in understanding the connection between microscopic and macroscopic properties in a wide range of scientific fields, including chemistry, materials science, and biology.
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A sound wave, with an intensity of 50 w/cm2, strikes a boundary and is totally reflected. What is the intensity reflection coefficient (irc)?
The intensity reflection coefficient (irc) is 1.
What is the intensity reflection coefficient (irc)?The ratio of the intensity of the reflected wave to the incident (transmitted) wave is known as the intensity reflection coefficient.
Intensity of incident (transmitted) sound wave = 50 W/cm².
As it is totally reflected, intensity of the reflected sound wave = 50 W/cm².
Hence, intensity reflection coefficient =
intensity of the reflected sound wave ÷ Intensity of incident sound wave
= 50 W/cm² / 50 W/cm².
= 1.
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a block of mass m is floating in a container of liquid and is partially submerged. the block is then replaced by a block of mass 2m . which of the following describes two forces that are a newton's-third-law force pair whose magnitudes are the same for the two situations? responses
In both situations, the two forces that form a Newton's third-law force pair with equal magnitudes are the buoyant force exerted by the liquid on the block and the weight of the block exerted on the liquid.
When a block is floating in a container of liquid, it experiences two forces: the weight of the block and the buoyant force exerted by the liquid. The weight of the block is given by the equation:
\(\[ F_{\text{{weight}}} = mg \]\)
where m is the mass of the block and g is the acceleration due to gravity. The buoyant force exerted by the liquid on the block is equal to the weight of the liquid displaced by the block. It can be calculated using Archimedes' principle:
\(\[ F_{\text{{buoyant}}} = \rho V_{\text{{submerged}}} g \]\)
where \(\( \rho \)\) is the density of the liquid and \(\( V_{\text{{submerged}}} \)\) is the volume of the block that is submerged in the liquid.
When the block is replaced with a block of mass 2m , the weight of the block doubles while the buoyant force remains the same. Therefore, the two forces that form a Newton's third-law force pair with equal magnitudes in both situations are the buoyant force exerted by the liquid on the block and the weight of the block exerted on the liquid.
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will give correct answer brainliest
Answer:
West
Explanation:
This is because the first caar has more mass
i literally need mental help
Answer:
WDYM?
Explanation:
Answer: Get therapy (not like actually lol but like you know...)
Explanation: Listen to calming music or your favorite music, read, draw, color, literally anything that makes you calm
Ricardo read that it may be unhealthy to eat more than 2,500 mg of table salt (NaCl) in a day. He wants to see how much salt 2,500 mg is, but his scale only weighs in units of grams.
How many grams of salt should he measure out on the scale?
A.
25 g
B.
2.5 g
C.
0.025 g
D.
250 g
The mass (in grams) Ricardo should measure out on the scale, given that he has 2500 mg is 2.5 g (Option B)
How do i determine the mass Ricardo should measure out?To obtain the mass that Ricardo should measure out on the scale, we shall convert 2500 milligrams (mg) to grams (g). This is illustrated below:
Mass (in mg) = 2500 mgMass (in g) =?Conversion scale
1000 mg = 1 g
Therefore
2500 mg = (2500 mg × 1 g) / 1000 mg
2500 mg = 2.5 g
From the above, we can see that 2500 mg is equivalent to 2.5 g
Thus, we can conclude from the above illustration that the mass Ricardo should measure out on the scale is 2.5 g (Option B)
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When two thin lenses of focal lengths f 1 and f 2 are kept coaxially and in contact, prove that their combined focal length "f" is given by
f
1
= f 1
1
+ f 2
1
The effective focal length of the combination is the reciprocal of the sum of the reciprocals of the individual focal lengths.
When two thin lenses of focal lengths f1 and f2 are kept coaxially, the effective focal length of the combination can be calculated using the lensmaker's formula.
The lensmaker's formula states:
1/f = (n - 1) * ((1 / R1) - (1 / R2))
where:
f is the focal length of the lens
n is the refractive index of the lens material
R1 and R2 are the radii of curvature of the lens surfaces
In the case of two thin lenses kept coaxially, the effective focal length of the combination (feff) can be calculated using the formula:
1/feff = 1/f1 + 1/f2
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--The complete Question is, When two thin lenses of focal lengths f1 and f2 are kept coaxially, what is the effective focal length of the combination?--
answer these questions fast
For the following:
change in momentum is b), ptemperature depends on b) speeddistance moved by the force is b) V₀ + F/2kinetic energy is b) 32Jabsorbent because ofc) capillary actionits velocity is b) less than all the other colors.How to solve the problems?The change in momentum of the body on striking the ground is equal to the initial momentum before firing vertically upward, which is p. Therefore, the answer is (b) p.
The temperature of a body depends upon the average kinetic energy of molecules. Therefore, the answer is (b) speed.
The distance moved by the force is equal to the product of the initial velocity ( V₀) and the time (1 sec) plus half the product of the force (F) and the square of the time (1 sec) divided by the mass (1 kg).
Therefore, the answer is (b) V₀ + F/2.
The total kinetic energy before the explosion is equal to the sum of the kinetic energies of the two pieces after the explosion.
Since the mass and velocity of one of the pieces, calculate its kinetic energy using the formula KE = (1/2)mv².
Therefore, the kinetic energy of the other mass is (b) 32J.
Foams and cotton clothes are used to absorb water because of their (c) capillary action. Capillary action refers to the ability of a substance to draw liquid into its small spaces or pores.
In a spectrum, red color is deviated to a lesser extent than all the other colors because its velocity is (b) less than all the other colors. The speed of light in a medium depends on the refractive index, which is different for different colors. Red light has a lower refractive index compared to other colors, causing it to be deviated to a lesser extent.
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A 15 kg child slides down a 5 m tall (vertical) slide that is inclined to the horizontal 34°. Her velocity is 5 m/s at the bottom of the sled. How much mechanical energy was lost to friction?
ANSWER
547.5 J
EXPLANATION
Given:
• The child's mass, m = 15 kg
,• The height of the slide, h = 5 m
,• The velocity of the child at the bottom of the slide, v = 5 m/s
Find:
• The loss of mechanical energy due to friction
The loss of mechanical energy due to friction is the difference between the child's gravitational potential energy at the top of the slide, and the child's kinetic energy at the bottom of the slide,
\(PE-KE=mgh-\frac{1}{2}mv^2\)Replace the known values and solve,
\(PE-KE=15kg\cdot9.8m/s^2\cdot5m-\frac{1}{2}\cdot15kg\cdot5^2m^2/s^2=735J-187.5J=547.5J\)Hence, 547.5 Joules of energy were lost due to friction.