The total density of the mixture is 0.485 g/cm^3
What is density:
The density, of a substance is its mass per unit volume. Density is denoted with symbol ρThe formula of density:
ρ = m / vhere,
volume of water, v1 = 30 cm^3
volume of ethanol, v2 = 40 cm^3
density of water, ρ1 = 1 g/cm^3
density of ethanol, ρ2 = 0.85 g/cm^3
so, according to formula,
for water
ρ1 = m1 / v1
m1 = ρ1 * v1
m1 = (1) * (30)
m1 = 30 grams
for ethanol
ρ2 = m2 / v2
m2 = ρ2 * v2
m2 = (0.85) * (40c)
m2 = 34 grams
total mass, M= m1 + m2
M= 30 + 34
M= 64 grams
total volume, V= v1 + v2
V= 30 + 40
V= 70 g/cm^3
Density of the mixture:
ρ = M / V
ρ = 34 / 70
ρ = 0.485 g/cm^3
Hence The total density of the mixture is 0.485 g/cm^3
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11. Amy is in a car that is moving at a speed of 50 kilometers/hour. If she moves a total distance of
230 kilometers, how long was she in the car?
If you take a given pendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum will Group of answer choices
The resonant frequency will decrease.
The natural frequency of an object, where it typically vibrates with a greater amplitude, is another way to describe the resonant frequency.
The formula for time period of pendulum(T) is
T= 2π[tex]\sqrt{} \frac{l}{g}[/tex] where,
l= length of pendulum
g = acceleration due to gravity
So, T is inversely proportional to the square root of g(√g)
It means as the value of g decreases, time period of pendulum increases and vice versa.
As it is given, value of g is less on moon than on earth and it is approx. 6 times less than that of earth.
That's why time period of oscillation of pendulum increases.
Now, as we know that time period is inversely proportional to the frequency.
So as the time period of pendulum on the moon increases, its resonant frequency decreases.
Hence, If we take a given pendulum to the Moon, where the acceleration of gravity is less than on Earth, the resonant frequency of the pendulum will decrease.
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Using the graph, describe what is happening between 4 and 6 seconds. The object is moving away from the origin at a constant velocity. The object is not moving. The object is moving toward the origin at a constant velocity. The object is changing velocity.
The position in the graph between 4 - 6 seconds is the region of constant velocity.
What is constant velocity?The term constant velocity refers to the period in the graph when the velocity is not changing with time. As such, the graph is shown to be a flat portion at such a point.
Hence, it follows that the position in the graph between 4 - 6 seconds is the region of constant velocity.
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using knowledge of states of matter,write a message about the importance of science in our society
Answer:
उव्ग्वुव ह्व्झ एउएइहे एइएइएइएएइ सिसुब्स्सी बीस सिस इस्ब एइब
Explanation:
?उग्व्ब्वु विब्सिए इसिग्व विद्बिअब्द सिह्व्व इस्ब्व दिव्ब्स विह्द ऐद्जिइ सुउगव्दी सिइगैगे क्ज्गैइव अजिव्व्ज्व्स कैह्द अजि ह्ज्फ्ज इअह इकुगै ईग इअबे अजिव्ब जैइअब इऐहे ऐइहे ऐइग्गे अत्व्ब ओप्झब रोज दिधिए ऊइफ्ब इसुहद ईउहे सिउउअ दिइब्द स्सिउए ऐइहे सिएय्व एउविये एइव्वे
A wire of radius 0.7 cm carries a current of 125 A that is uniformly distributed over its cross-sectional area. Find the magnetic field B at a distance of 0.13 cm from the center of the wire.
The magnetic field is the type of zone that receives magnetic force. It can have a strength of 0.00122 T.
Magnetic fieldThe magnetic impact on passing an electrical current, electromagnetic fields, and materials and devices is described by a magnetic force, which is a vector field.A force perpendicular to both the charge's own velocity and the magnetic field acts on a moving charge in the field of magnetism.Provided that,
radius, r = 0.7 cm = 0.007 m
current, I = 125 A
position considered, x = 0.13 cm = 0.0013
Formula of the magnetic field,[tex]B=u_{0}Ix/4\pi r^{2}[/tex]
⇒[tex]B=4\pi* 10^{-7} *125 * 0.0013 / 4\pi (0.007)^{2}[/tex]
⇒[tex]B=0.00033[/tex] T
So, the value of the magnetic field = 0.00033 T
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According to the Theory of Continental Drift, South America and Africa once formed part of a single larger continent called Pangaea that eventually broke apart. Today, the average distance between matching shorelines of South America and Africa is about 8000 km. Measurements indicate that the continents are drifting apart at a speed of about 4.0 cm/year. a. According to these measurements, how long ago did these continents separate? b. What assumptions did you make in order to answer (a)?
According to the Theory of Continental Drift, we can predict that:
a. These continents separate for an average of 200000000 years b. The assumption made is that the current distance is 8000 km which is 800000000 cm.Meaning of Continental DriftContinental Drift can be defined as a hypothesis that was put forth, that the Earth's continents have moved over time relative to each other and as the time goes its keeps on moving, increasing the distance between them.
Continental Drift makes the continents look like they have drifted across the ocean.
In conclusion, Our predictions are stated above.
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Someone on Earth would measure the star Vega to be 25 light years away. If you fly a spaceship to Vega at 0.999c, you will measure the distance to be: Group of answer choices
If you fly a spaceship to Vega at 0.999c, you will measure the distance to be much less than 25 light years.
Most space objects use light-years to represent their distance. Light-years are the distance that light travels during the year on Earth. Light-years are about 6 trillion miles (9 trillion km). This is a 6 followed by 12 zeros.
At the same speed, a movement equivalent to one light-year takes about 11.3 billion days. Life expectancy for Americans is currently estimated at 78.74 years, which is equivalent to 28,740 days. Therefore, to get there, you need to live about 400,000 times as long as the average American.
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An electron is accelerated from rest by an electric potential difference of 437 V, and then enters a region of uniform magnetic field. The magnetic field is oriented perpendicular to the velocity with a magnitude of 42.8 mT. What will the radius of the electron's path be once it enters the magnetic field
The radius of the electron's path is once it enters the magnetic field 3.16*10^-4 m.
The electric capacity difference, additionally called voltage, is the outside work needed to bring a rate from one region to some other area in an electric discipline. The electric powered capacity distinction is the change of potential electricity skilled by way of a test rate that has a fee of +1.
The distinction in ability among two points represents the paintings worried or the electricity released in the switch of a unit amount of power from one factor to the other.
Electric ability is the work executed in step with unit fee in bringing the fee from infinity to that factor against electrostatic pressure. In a conductor, electrons float simplest when there is a difference in electric stress at its ends. This is additionally known as the capacity distinction.
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What is the index of retraction?
Light bends when it travels from a certain density of matter into a different density of matter. The density of the stuff affects how much it bends. Light bends when it transitions from air to water or from water to air. Light bends when it travels from water to glass or from glass to air. How much light is bent by a particular substance may be determined by its index of refraction. However, Snell's Law and the angle of incidence must be coupled. The angle of refraction increases with increasing angle of incidence. As a result, the water's unique index of refraction bends light entering the medium at an angle of 30°. and that is 1.33. This means that light in a vacuum travels at 1.33 times faster than light in water. We wouldn't have lenses in the way we do now without refractive index. We would need eyes with pinhole-sized openings in order to see, which would prevent us from seeing clearly or at least in great detail. We wouldn't have had microscopes to view anything in great detail, telescopes to view the moon, planets, or distant things. I could go on, but I think you get the idea: if we didn't have the material characteristic known as refraction, things would be quite different. Well, I guess it's possible that human eyes have evolved to have diffractive lenses, but that's another theory.
________________________
The ability of a substance, whether it is solid, liquid, or gas, to reflect light causes it to move more slowly than it would in a vacuum.
Any substance's refractive index (n) is found by dividing the speed of light in that substance by the speed of light in a vacuum (c) (v).
So
n = c/v
Since a material's refractive index varies depending on the wavelength of light, n = f(wavelength) (n is a function of wavelength). In comparison to longer wavelengths, the index is larger for shorter wavelengths. It's known as dispersion.
When creating lenses or other refractive optical systems, the refractive index and dispersion are both crucial factors. The diverse wavelengths don't come to a common focus, which has a disastrous effect on image quality because index is directly related to how light bends while passing through a lens. We refer to this as chromatic aberration. It's difficult to regulate, but you can achieve it by carefully selecting various glass chemistries and massaging them into position. The glass map showing index as a function of inverse dispersion is seen in the image below. About 20 to 100 is the range of the Abby number, a measure of dispersion; lower numbers indicate more dispersion (larger index difference between red and blue light). Every dot stands for a distinct glass.
Refractive indices range from 1.0003 for air, to over 4.5 for Geranium.
A potato is baked in an oven. Considering that any moisture loss from the potato is disregarded and the oven is well insulated, if 2 kJ of heat is transferred to the potato, what is the energy change of the potato
The energy change of the potato is 2 kJ.
Energy can trade from one shape to some other. As an example, when you turn on a lightbulb, electrical power adjustments to thermal electricity and light power. An automobile adjustments energy stored in the chemical bonds of gasoline to numerous specific paperwork.
The general electricity trade of the response this is the distinction among the reactant's power and the product's strength. If the reactants have extra energy than the goods, energy has been released. If the reactants have much less strength than the products, strength has been absorbed by way of the debris.
The electricity exchange that happens because the end result of a reaction relies upon on the difference among the power of the reactants and the energy of the products. For reactions like combustion, the gas (as an instance wooden) has strength saved inside the chemical bonds among the atoms that make it up.
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Kristen has two identical sized cubes, one is lead (Pb) and one is copper (Cu). Kristen is determining the density of each cube. Which property will be the same in each cube?
Answer:
volume
Explanation:
Identical size means volume will be the same in each calculation of
density = mass / volume
A 10-kg ring with outer radius 1.5 m and inner radius 1.2 m is placed snuggly around a solid sphere with mass 8.0 kg and radius 1.2 m. The combination rotates about the axis of the cylinder. What is the rotational inertia of the combination
The rotational inertia of the combination is 21.5kg m2
Given that mass of ring = 10kg , outer radius 1.5 m and inner radius 1.2 m
Radius of ring = ½(1.5+1.2) =1.35m
Mass of solid sphere=8kg
Radius of sphere =1.2m
A combination rotational inertia of ring and solid sphere is addiction of rotation inertia of ring and solid sphere
Rotational inertia of ring Ir=MR^2
Rotational inertia of solid sphere Is=2/5MR^2
Combination rotational inertia of ring and solid sphere
I=Ir+Is
=M1R^2+2/5M2R^2
=(10)(1.3^2)+⅖(8)(1.2^2)
=16.9+4.608
=21.5kg m2
Hence the rotational inertia of the combination is 21.5kg/m^2
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Which best describes the relationship between energy and entropy in the universe? for entropy to increase, energy must be added. for entropy to decrease, energy must be added. for entropy to remain constant, energy must be added.
Answer:
Entropy is a measure of the order/disorder during the transformation of the state of a system and is defined as the total variation of energy at a defined temperature. From point of view of statistical mechanics, this variation of energy is generated from statistical transitions of the internal states of the system. In this sense, entropy can measure how easy it is to reach a defined state of the system. Now, imagine a text stream that arrives to you character by character in a screen. If the text is meaningless, then every character has the same probability of appearing to you and therefore the entropy is maximal because this disorder is maximal. If you want to transfer information, then you have to spend a little bit of energy in ordering the characters because this does not happen spontaneously. The final state of the system is more ordered in respect to the earlier one, so the entropy is less than the entropy of random text. This means that, if you want to reduce entropy in order to transfer information, then you must spend energy.
Explanation:
Answer: For entropy to decrease, energy must be added. (B)
Explanation: Trust me bbg c;
([3] w) p
18.0
16.0-
14.0
12.0-
10.0-
8.0 -
6.0
4.0
2.0 -
0-
0
0.5
Position v. Time for Motion with Uniform Acceleration
1.0 1.5
2.0
t(s)
2.5
run
3.0
3.5
4.0
rise
4.5
Practice
1. (a) Determine the instantaneous velocity at t= 1.0 s for the graph shown in Figure 6.
(b) Determine the instantaneous velocity at t = 3.0 s for the graph shown in Figure 6.
I need help figuring out what steps I should take.
Explanation:
the density of liquid x is 40g and a bottle full of water has the density of 70g find the density of liquid x (d=1g/cm3)
A counterclockwise current of 3.0 A is circling around a wire loop (positioned directly in front of you) having an area of 5.8 x 10-2 m2. What is the magnetic dipole moment
The magnetic dipole moment of the wire loop is 0.174 Am².
Magnetic dipole momentThe magnetic dipole moment is calculated as follows;
μ = NIA
where;
N is number of loopI is currentA is area of the loopμ = (3)(5.8 x 10⁻²)
μ = 0.174 Am²
Thus, the magnetic dipole moment of the wire loop is 0.174 Am².
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When a current is passed through plasma and that current is increased will the temperature of the plasma increase . if it does then as temperature of plasma increases its resistance will decrease which will lead to increase in current again
The temperature of the plasma will increase as current is passed through it.
Meaning of Current and temperatureCurrent can be defined as a flow of charged particles through a medium and the particles includes: electrons or ions.
Temperature is the degree of hotness or coldness experienced by a material.
The more current passes through the plasma the more energy is induced making the particles to move faster which in turns causes temperature to increase and reducing the resistance of the plasma.
In conclusion, The current causes temperature to increase and this reduces the resistance.
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find the answers of the questions given below
Answer:
i)[tex]0m/s^{2}[/tex]
ii)20m/s
iii)300m
Explanation:
In this Velocity-Time graph,
i) The acceleration can be found by finding the slope of the graph, which in this case, since it is a horizontal line, the slope = 0 therefore the acceleration = [tex]0m/s^{2}[/tex]
ii)The velocity can be found on the y-axis, in this case, is 20m/s.
iii)The distance covered can be found by finding the area of the graph to the corresponding time. In this case,
t=15
Distance covered = 20m/s * 15s
= 300m
Acceleration :
Velocity does not changeHence, [tex]\boxed {a = 0 m/s^{2}}[/tex]Velocity :
According to the graph, the cyclist has a constant velocity of 20 m/s[tex]\fbox {v = 20 m/s}[/tex]Distance :
Use the formula, [tex]\boxed {S = v \times t}[/tex], as velocity is constantS = 20 × 15[tex]\fbox {S = 300 m}[/tex]A boat floats south on the Amazon River at a speed of 6 m/s south. The boat and passengers have a combined mass of 540 kg.
a. What is the momentum of the boat? (3 points)
b. A passenger drags his hand in the water, applying an impulse of 3200 kg·m/s to the north. What is the new velocity of the boat? (3 points)
A. The momentum of the boat, given the data is 3240 Kg.m/s
B. The new velocity of the boat is 11.93 m/s
What is momentum?Momentum is defined as the product of mass and velocity. It is expressed as
Momentum = mass × velocity
What is impulse?This is defined as the change in momentum of an object.
Impulse = change in momentum
Impulse = final moment – Initial momentum
Imulpse = m(v - u)
How to determine the momentumMass = 540 Kgvelocity = 6 m/sMomentum = ?Momentum = mass × velocity
Momentum = 540 × 6
Momentum = 3240 Kg.m/s
How to determine the new velocityMass = 540 KgInitial velocity = 6 m/sImpulse = 3200 kg·m/sFinal velocity =?Imulpse = m(v - u)
3200 = 540 × (v - 6)
Divide both sides by 540
v - 6 = 3200 / 540
v - 6 = 5.93
Collect like terms
v = 5.93 + 6
v = 11.93 m/s
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In an automatic AWD vehicle, normally one axle receives all the torque; when slippage occurs, 50 percent of the torque can be sent to the other axle by _____ means.
Option (d) All of these is correct.
In an automatic AWD vehicle, normally one axle receives all the torque; when slippage occurs, 50 percent of the torque can be sent to the other axle by hydraulic, mechanical and electrical means.
AWD vehicle stands for All-wheel drive vehicle.
A vehicle with all-wheel drive (AWD) has a powertrain that can drive all of its wheels, either continuously or as needed.
When we say the torque distribution is 50/50 "in normal conditions," we imply that the moment of force applied to the front and rear wheels is equal when all wheels have the same adhesion.
In an automatic AWD vehicle normally one axle receives all the torque and sent to other axle by hydraulic, mechanical and electrical means.
So that's why when the spillage occurs, 50% of the torque can be sent to the other axle also by hydraulic, mechanical and electrical means.
Hence, Option (d) All of these is correct.
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A cheetah can accelerate from rest to a speed of 28.5 m/s in 4.25 s. What is its acceleration (in m/s2)
Answer:
6.71 meters per second squared
Explanation:
Speed vs velocity
Average acceleration is defined as the rate of change of velocity per unit of time.
Velocity is a vector, a quantity that has both direction and magnitude (size). In this case, the cheetah is not changing directions, so we can ignore vector directions, and treat velocity as just speed.
[tex]a=\dfrac {\Delta v}{\Delta t}[/tex]
Analyzing units
The units of the acceleration requested are meters per second squared, and the units of speed and time are measured in meters per second, and seconds.
The units all match, so we just need to substitute and calculate/simplify
Calculations
[tex]a=\dfrac{(28.5[\frac {m}{s}])}{(4.25[s])}[/tex]
[tex]a=6.70588235294...[\frac {m}{s^2}][/tex]
Accounting for significant figures, the acceleration is 6.71 meters per second squared.
A car came to a stop from a speed of 16 m/s in a time of 2.3 seconds. What
was the acceleration of the car?
A. -13.7 m/s²
B. -9.80 m/s2
OC. -4.12 m/s²
OD. -6.96 m/s²
The acceleration of the car that came to a stop from a speed of 16 m/s in a time of 2.3 seconds is -6.96m/s² (option D).
How to calculate acceleration?The acceleration of a moving substance can be calculated by dividing the change in velocity of the substance by the time.
Acceleration (a) = ∆V/t
Where;
∆V = change in velocityt = timea = -16m/s ÷ 2.3s
a = -6.96m/s²
Therefore, the acceleration of the car that came to a stop from a speed of 16 m/s in a time of 2.3 seconds is -6.96m/s².
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If you mix 100 g of ice at 0 ∘c with 100 g of boiling water at 100 ∘c in a perfectly insulated container, the final stabilized temperature will be.
The final stabilized temperature will be between 0 °C and 50 °C.
Calorimetry:
The enthalpy of fusion of ice is 334 J/g. The specific heat of water is 4.2 J/g.
To cool 100 g of water from 100 °C to 0 °C would require the removal of
4.2 x 100 x 100 = 42000 J.
To melt the ice would require the addition of
334 x 100 = 33400 J
∴ 42000 > 33400 thus you can melt all the ice and have some heat to spare, specifically 42000 - 33400 = 8600 J
Now use this to warm up 100+100 = 200 g of water at 0 °C
The final stabilized temperature;
8600 / (200 x 4.2) = 10.23 °C
Therefore, the final stabilized temperature is 10.23 °C
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What is the approximate de Broglie wavelength of a tennis ball with a mass of 70 g and a velocity of 10 m/s
The approximate de Broglie wavelength of a tennis ball is 9.4×10^(-34) m.
What is the de Broglie wavelength:
It is the wavelength that is associated with an object in relation to its momentum and mass is known as de Broglie wavelength.
A particle's de Broglie wavelength is usually inversely proportional to its force.
The formula of de Broglie wavelength:
λ = h / ( m*v )here mass of a tennis ball is given
mass, m=70 g = 0.07 kg
ball is moving with velocity
v = 10 m/s
h is Plank constant,
h=6.63×10^(-34) Js
substituting the values in formula,
λ = 6.63×10^(-34) / ( 0.070*10)
λ = 9.4 ×10^(-34) m
Hence
The approximate de Broglie wavelength of a tennis ball is 9.4×10^(-34) m
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Groups of students are making measurements of small cars rolling across a table. the class has measuring tapes with markings in inches and centimeters. the teacher asks that students make all the measurements in centimeters. why would the teacher make a decision like this?
To find the accurate measurement of small cars, the teacher asks students to make all the measurements in centimeters.
Centimeters Measurements:
A centimeter is a metric unit of measurement used for measuring the length of an object, It is written as cmCentimeter is one hundredth of a meter, 1 meter is 0.01 cm.Inches measurements:
An inch can be defined as a unit of length in the customary system of measurement. Length in inches is either represented by in or ''.1 meter is equal to 39.37 incheshere, the cars are small objects.
The number of centimeters is always bigger,
because a centimeter unit is smaller than an inch unit, and it takes more of them when we are measuring.
Hence,
To find the accurate measurement of small cars, the teacher asks students to make all the measurements in centimeters.
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Look at the heart shape shown below. Will the centre of mass of this shape be nearer the top or the bottom of the heart?
Answer:
Nearer the top
Explanation:
Since the shape is not symmetrical in all axis, from the shape, there is more matter occupying the top half of the image. Hence the senter of gravity being at the top
The immersed volume of body in a liquid depends on density of the liquid. TRUE or FALSE?
Answer:
True - Archimedes Principle states that the buoyant force on an object is equal to the weight of the liquid displaced.
The volume of a certain quantity of nitrogen at 0 ºC is 10 L. Determine, if the pressure does not vary, what the volume will be at -20 ºC. What would happen if instead of N2 the gas was hydrogen?
From the calculations, the volume of the gas is obtained as 9.3 L
What is the gas laws?The gas laws show the relationship between the volume, pressure, temperature and the number of moles of a gas.
Given that;
V1 = 10 L
T1 = 0 ºC + 273 = 273 K
V2 = ?
T2 = -20 ºC + 273 = 253 K
It then follows that;
V1/T1 = V2/T2
V1T2 = V2T1
V2 = V1T2/T1
V2 = 10 L * 253 K/273 K
V2 = 9.3 L
If the gas were to be hydrogen, the volume of the gas will decrease even further,
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My Activities Tell me what you want to do Q
Which of the following scenarios does the free body diagram below
illustrate?
Tension Tension
Weight
OA sign board supported by two strings.
O A rubber band stretched by a person.
O A door pulled by two applied forces.
O A book falling off a table.
A sign board supported by two strings does illustrate the tension-tension and weight in the free body diagram.
In a sign board supported by two strings, there will be tension in each strings and a force of weight downward due to the mass of the body. The tension of both strings will be in equilibrium to weight of the object.
There will be elastic force or spring force also we can say if a rubber band is being stretched by a person.
A torque will be applied on the door when pulled by two applied forces but there will be no tension.
If a book fall from a table then the book will go under free fall motion, hence there is no possibility of tension tension on the book.
Hence we can conclude that tension tension and weight force will only be there, where we will be having an object supported by strings, also go through the diagram attached for better understanding.
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Who predicted that a comment has a cyclic repeating pattern
Answer:
If u mean a comet, then Edmund Halley should be the person you're looking for.
Block X and Y are attached to each other by a light rope and can slide along a horizontal
surface. Mass of block X is 10 kg and that of block Y is 5 kg. The magnitude of force of friction
on blocks X and Y is 8.0 N and 4.0 N respectively. Find the action-reaction forces that the
blocks exert on each other if an applied force of 40 N [right] acts on block per the illustration
below.
a) The force of X on Y is 7.4 N [right] and the force of Y on X is 4.1 N [left]
Jhry
Ob) The force of X on Y is 12 N [right] and the force of Y on X is 14 N [left]
c) The force of X on Y is 14 N [right] and the force of Y on X is 14 N [left]
O d) The force of X on Y is 22 N [right] and the force of Y on X is 22 N [left]
B. The force of X on Y is is approximately 13 N [right].
Tension in the rope
The action-reaction forces that the blocks exert on each other is calculated as follows;
Net force on the blocks = 40 N - (8 N + 4 N) = 28 N
Total mass of the blocks = 10 kg + 5 kg = 15 kg
Acceleration of the blocksa = F(net)/M
a = 28 N / 15 kg
a = 1.867 m/s²
Considering object X,40 N - 8N - T = 10 x 1.867
T = 13.33 N
Considering object Y,40 N - 4N - T = 5 x 1.867
T = 26.67 N
Thus, the force of X on Y is is approximately 13 N [right].
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