The antiderivative of x² + 1/x² is (1/3)x³ + x + C.
What is meant by antiderivative?An antiderivative, also known as an indefinite integral, is a mathematical operation that finds a function whose derivative is equal to a given function. This operation is the opposite of the derivative, which is a measure of the rate of change of a function at a given point. The antiderivative is used to solve problems in calculus and other branches of mathematics that involve integrals, which are the area under a curve. For example, in integration by parts, one must find the antiderivative of a function before it can be integrated. Antiderivatives are also used to find the area bounded by a curve, to determine the length of a curve, to calculate the volume of a solid of revolution, and to solve differential equations. Antiderivatives can be calculated by using the rules of calculus, such as the Fundamental Theorem of Calculus, integration by parts, and substitution. In addition, there are other methods, such as integration by parts, integration by substitution, and numerical integration.To learn more about antiderivative refer to:
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Reflecting on what we learn
a. How does the acceleration you measured compare with the acceleration you calculated from the graph of speed vs. time? If there are differences, try to think where they might have come from.
b. Give the car a gentle push up the ramp from the bottom. The car will go up, slow down, and come down again. Is there a place in the motion where the speed of the car is zero? Is there a place where the acceleration is zero?
c. Can you think up tow configurations of ramps and cars that show the following properties:
(1) Higher speed but lower acceleration.
(2) Lower speed but higher acceleration
You will use your data to find the car's rate of acceleration in two different ways: by using an equation to calculate it and a graph to take the slope.
What does acceleration mean in layman's terms?The pace at which speed changes is known as acceleration.So because direction of an object's velocity is shifting even while it follows a circular course, it continues to accelerate.
How do you determine acceleration?According to the formula a = v/t, kinetic energy (a) is the product of the shift in velocity (v) and the shift in time (t). In terms of meters per minute squared (m/s2), this enables you to calculate how quickly velocity varies.
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Look at the shape of the last force vs. time graph. Is the peak value of the force significantly different from the average force? Is there a way you could deliver the same impulse with a much smaller force?
There is no method to give the same impulse with a substantially smaller maximum force, even though the peak value of the force differs significantly from the average force.
How can the average force be determined from a force vs. time graph?By dividing the area under the force vs. time curve by the time, one can determine the average force (the base of the triangle in this case). As a result, the height of a triangular profile is just the peak force, and the average force is 1/2 the height.
What is the connection between time and force?The change in momentum over time is measured by force. It can be expressed as F = mass x velocity change / time.
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we have 3 liquid and we mixed them we know their density but we don't know their mass and volume how we can find the mixed of this 3 liquid density
To find the density of the mixed liquid, you will need to determine the mass and volume of each individual liquid.
How to determine mass and volume of individual liquid? One way to do this is to measure the volume of each liquid using a graduated cylinder or other measuring device, and then use that information to calculate the mass using the known density of each liquid.Once you have the mass and volume of each liquid, you can then add the masses together and divide by the total volume to find the density of the mixed liquid.Alternatively, you could use a tool such as a pycnometer to directly measure the density of each liquid, and then use that information to calculate the density of the mixed liquid.To learn more about mass of individual liquid refer:
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How could electrical energy and kinetic energy be
used to cool your tree house?
Keeping other factors consistent, how is voxel size affected by changing the FOV from square to rectangular?
Stays the same
Increases by a factor of 4
Increases
Decreases
Increases is voxel size affected volume by changing the FOV from square to rectangular
What factors into voxel size?How is fragment size shown in the image
The values chosen for the three procedure factors—FOV, grid size, and slice thickness—determine the size and level of detail of the voxels in MR images. The proportion of a field of view (Field - of - view) as well as the length of the matrices determines the size of the a voxel in the image's plan.
How are voxels calculated?The volume element in 3D space is known as a voxel. The pixel, combined with the width of the slice, determines its dimensions Chop.
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Suppose you go from the earth to a planet where the acceleration of gravity is 3 m/s2. On the new planet your mass willA. be 1/3 its value on EarthB. be 9 times its value on EarthC. be 3/10 its value on EarthD. not change
If we go from Earth to a planet where the acceleration of gravity is 3 m/s2 then it does not change.
An object acted on by only the force of gravity, on or near Earth's surface, which accelerates downward at the rate of about 9.8 m/s² without air resistance.
Acceleration due to gravity can be defined as the constant acceleration which is produced in a body when a body falls freely under the effect of gravity alone.
It is represented with the letter g and has a value of 9.8 m/s^2 on the surface of the earth.
This acceleration is gained by an object due to the gravitational force.
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Which of the following is a possible set of quantum numbers for a 4f orbital? a) n = 4,1 = 2, m = 0 b) n = 4,1 = 1, m = 2 c) n = 4,7 = 1, m = -1 d) n = 4,1 = 3, mı = 0 e) n = 4,1 = 3, m = 4
The set of quantum numbers for a 4f orbital is n=4,l=3,m=−3to3, s=±1/2. Hence, the answer to the question would be Option D.
The three quantum numbers are described below:
The principal quantum number (n) - describes the size of the given orbital. Orbitals for which n = 2, are larger in size than those for which n = 1, for example. This is because they have opposite electrical charges, electrons (negatively charged) are attracted to the nucleus (positively charged) of the atom. Energy must therefore be absorbed to excite/move an electron from the lower orbital in which the electron is close to the nucleus (n = 1) into a upper orbital in which that electron is further from the nucleus (n = 2). The principal quantum number thus, indirectly describes the energy of an orbital.
The angular quantum number (l) - describes the shape of an orbital. Orbitals have shapes that are generally described as spherical (l = 0), polar (l = 1), or cloverleaf (l = 2). They can even take on even more complex shapes as the value of the angular quantum number (l) becomes larger.
The magnetic quantum number (m) - there is only a single way in which a sphere (l = 0) can be oriented in space. However, orbitals that have polar (l = 1) or cloverleaf (l = 2) shapes, can point in different directions. Therefore, we need a third quantum number to describe the orientation in space of a particular orbital. (It is called by the name magnetic quantum number because the effect of different orientations of the orbitals was first observed in the presence of a magnetic field.)
For 4f orbitals : n = 4,
l = 3,
m = −3 to 3, and
s = ±1/2
Hence, after checking for the values, we get option D as the answer.
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If two cars leave from two different cities 50 miles apart and one car is going 50 mph and the other car is going 60 mph, at what time will they meet?
The relative speed of one car in relation to another changes as the cars approach one another. Therefore 150 miles
How do you calculate the time two cars meet?The relative speed of one car in relation to another changes as the cars approach one another.
On parallel roadways, two cars that are 150 miles apart begin to travel in the same direction.
The first car travels at an average speed of 60 miles per hour.
The second car is traveling at an average speed of 55 mph.
Net speed, or relative speed, is 150 miles per hour (60 + 55).
Allow 't' seconds for the automobiles to pass each other.
60 + 55 =150
Therefore, the formula will be 60t + 55t = 150.
We can resolve this if you want to.
t = 1.30
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(a) Given two point charges, Q and 2Q, a distance d apart, is there a point along the straight line that passes through them where E = 0 when their signs are opposite? If yes, state roughly where this point will be.(b) Given two point charges, Q and 2Q, a distance d apart, is there a point along the straight line that passes through them where E = 0 when their signs are the same? If yes, state roughly where this point will be.
a) electric field will be zero at (2.414 × d) distance from weaker charge Q, and at (3.414 × d) distance from the stronger charge 2Q
b) electric field will be zero at '0.414d' distance from weaker charge Q, and at '0.586d' distance from the stronger charge 2Q.
What is electric field?When charge exists in any form, an electric field is linked with each point in space. E, often known as electric field strength, electric field intensity, or just the electric field, is a mathematical constant that expresses the strength and direction of an electric field.
a)
Electric field is given by:
Assuming ₁ = Q, q₂ = 2Q, and suppose q₁ is at origin and q₂ is at x = +d
Now suppose at point P, distance x = - r electric field is zero, then
E(net) = E₁ - E₂ = 0
E₁ = E₂
kq₁/r₁² = kq₂/r₂²
r₁ = distance between q₁ and P = r
r₂ = distance between q₂ and P = d + r
Using above values:
q₁/r₁² = q₂/r₂²
Q/r² = (2Q)/(d + r)²
1/r² = 2/(d + r)²
(d + r)/r = √2
(d + r) = r × √2
r = d/((√2) - 1) = 2.414 × d
So. electric field will be zero at (2.414 × d) distance from weaker charge Q, and at (3.414 × d) distance from the stronger charge 2Q.
b)
Electric field is given by:
E = kq/R²
We know that the direction of the electric field will be away from the charge when the charge is (+)ve and towards the charge when the charge is (-)ve. Since q₁ and q₂ have the same sign in the example, the electric field between the charges will be zero.
Assuming q₁ = Q, q₂ = 2Q, and suppose q₁ is at origin and q₂ is at x = +d
Now suppose at point P, distance x = r from origin electric field is zero, then
E(net) = E₁ - E₂ = 0
E₁ = E₂
kq₁/r₁² = kq₂/r₂²
r₁ = distance between q₁ and P = r
r₂ = distance between q₂ and P = d - r
Using above values:
q₁/r₁² = q₂/r₂²
Q/r² = (2Q)/(d - r)²
1/r² = 2/(d - r)²
(d - r)/r = √2
d - r = r ×√2
r = d/((√2) + 1) = 0.414d
So, electric field will be zero at '0.414d' distance from weaker charge Q, and at '0.586d' distance from the stronger charge 2Q.
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A new real estate agent earns 5% of the cost of the sold house. His first sale is a $219,000 house. How much will he earn on the sale of his first house?
The new real estate agent will earn $10428.57 on the sale of his first house.
What is percentage?A percentage is a number or ratio that can be stated as a fraction of 100 in mathematics.
Let the cost price of the house = $x.
The new real estate agent earns 5% of the cost of the sold house.
Hence, the sold price is = $(x + x × 5%)
= $ (x + x × 5/100)
= $ (105x/100)
According to the question:
(105x/100) = 219000
x = (219000 × 100)/105
= 208571.43
Hence, his earning on the sale of his first house = $219000 - $208571.43
= $10428.57
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an object of mass 0.5kg is given an initial velocity and then slides across a horizontal surface. the object experiences a resistive force that is a function of velocity. the velocity v of the object as a function of time t is given by v(t) = ae-B, where a = 2 m/s and B = 35?.. Which of the following is a correct expression for the net force, in newtons, exerted on the object as a function of time? (A) -6e-3 (B) -3e-34 (C) (D) 2e- 2 (E 3(1-2-4)
The correct expression for the net force, in Newtons, exerted on the object as a function of time is (D) 2e-2.
Which of the following is a correct expression for the net force, in newtons, exerted on the object as a function of time?The net force experienced by the object as a function of time is given by F(t) = ma + f(v).Here, m is the mass of the object and a is its initial acceleration.The resistive force is given by f(v) = -Bv, where B is a constant.Therefore, the net force, in newtons, exerted on the object as a function of time is F(t) = ma - Be-Bt.Simplifying the equation, we get F(t) = -(mB + a)e-Bt.Substituting the given values of m, a, and B, we get F(t) = -3e-35.Thus, the correct expression for the net force, in newtons, exerted on the object as a function of time is -3e-35.To learn more about The correct expression for the net force, in Newtons refer to:
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What is the momentum of a 0.15 kg ball moving at 4 m/s?
Answer:
mass of ball:0.5
acceration:4m/
force:?
we know that,
f:ma
:0.5×4
:2 newton
a class of physics students is investigating projectile motion using a variety of equipment assumer air resistance can be ignored in all cases. onge group constructs a long ramp as showin ramp 1 below
A group of physics students investigating projectile motion using a long ramp as shown in ramp 1 (below) may be able to study the following aspects of projectile motion
What are the equipment used to assume air resistance for investigating projectile motion?The effect of launch angle on the range of a projectile: By adjusting the launch angle of the projectile, the students can study how the range of the projectile is affected.The effect of launch velocity on the range of a projectile: By adjusting the launch velocity of the projectile, the students can study how the range of the projectile is affected.The effect of launch angle and launch velocity on the maximum height of a projectile: By adjusting both the launch angle and launch velocity of the projectile, the students can study how the maximum height of the projectile is affected.The relationship between the range and maximum height of a projectile: By measuring the range and maximum height of a projectile for different launch angles and launch velocities, the students can study the relationship between these two variables.The time of flight of a projectile: By measuring the time it takes for a projectile to travel from the top of the ramp to the ground, the students can study the time of flight of a projectile.In summary, a group of physics students investigating projectile motion using a long ramp as shown in ramp 1 may be able to study the effect of launch angle and launch velocity on the range and maximum height of a projectile, the relationship between the range and maximum height of a projectile, and the time of flight of a projectile.To learn more about projectile motion refer:
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In class, we discussed angular acceleration and tangential acceleration. Describe how the simulation can be used to find each for the bugs in Ladybug Revolution.
The simulation can be used to find both angular and tangential acceleration for the bugs in Ladybug Revolution.
Describe how the simulation can be used to find each for the bugs in Ladybug Revolution?Angular acceleration can be found by calculating the change in angular velocity over time.This can be done by measuring the angle that the bug rotates and the time it takes for the bug to rotate that angle.Tangential acceleration can be found by measuring the change in velocity over time, which can be done by measuring the distance the bug travels and the time it takes for the bug to travel that distance.In the Ladybug Revolution simulation, angular acceleration and tangential acceleration can be calculated for the bugs by observing their motion in the simulation. Angular acceleration is a measure of the rate of change in angular velocity and is calculated by observing the bug’s angular velocity over time. To calculate angular acceleration, the angular velocity of the bug at two different points in time is recorded and then the difference between these velocities is divided by the time interval between the two points.Tangential acceleration is a measure of the rate of change in linear velocity and is the product of the angular acceleration and the radius of the bug’s path. To calculate tangential acceleration, the angular acceleration of the bug is multiplied by the radius of its path. This will give the tangential acceleration of the bug as it moves around the Ladybug Revolution simulation. By recording both angular acceleration and tangential acceleration over time, one can observe the bug’s motion in the simulation and analyze its motion more accurately.To learn more about angular acceleration and tangential acceleration refer to:
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A string can withold a maximum tension of 10N. A 1kg mass is spun around at a radius of 10m using this string. What is the maximum speed that can be attained by the mass
The maximum speed the mass of 1 kg is 10 m/s.
What is speed?Speed is the ratio of the distance of a body to time.
To calculate the maximum speed of the mass, we use the formula below.
T = mv²/r................. Equation 1Where:
T = Maximum tension in the string = 10 Nm = Mass of the spun = 1 kgv = Maximum speed attained by the mass = ?r = Radius = 10 mSubstitute these values into equation 1 and solve for v
10 = 1v²/101v² = 100v² = 100v = √100v = 10 m/sHence, the maximum speed is 10 m/s.
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c.) use your formula to calculate the period of an earth satellite in a circular orbit of radius 7000 km
The period of an earth satellite in a circular orbit of radius 7000 km will be 4.4 × 10⁴ km.
What results in a circular orbit?Every orbit about an object it around "parent" is a delicate balancing act between gravitational force and the object's need to travel straight ahead. An precise force balance would result in a circular orbit, although this is uncommon.
Who conceived about circular orbits?Early in the 17th century, German scientist Johannes Kepler proposed three planetary motion principles. His predecessors' work, particularly that of Tycho Brahe and Nicolaus Copernicus, served as the foundation for his rules. The planets move in a circular route around the sun according to Copernicus' theory.
Well, this is easy as 1 period is same as circumference of a circle
so we can us the formula of circumference i.e.
C = 2πr
As r is given = 7000 km
C = 2π(7000)
[tex]$ \mathrm{C = 2 \times \frac{22}{7} (7000)}[/tex]
[tex]$ \mathrm{C = 2 \times 22} \times 1000}[/tex]
C = 44000 km or 4.4 × 10⁴ km
Thus, the period of an earth satellite in a circular orbit of radius 7000 km will be 4.4 × 10⁴ km.
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which of the following indicates that different rocks in the same area might weather differently? select the two correct answers. (1 point)
The weathering processes of cliffs with ridges and smooth plain in the same area might be different hence options A and D are the correct answers.
Weathering describes the process of breaking down or disintegration or dissolving of rocks and minerals on the surface of the Earth. Water, ice, plants, animals, acids, salts, and changes in temperature are all agents of the process of weathering.
Mechanical weathering, also called a physical weathering or disaggregation, causes the rocks to crumble. Water, in either in the liquid or the solid form, is often the key agent of mechanical weathering.
Chemical weathering is process of changes in the molecular structure of rocks and soil. For an instance, carbon dioxide from the air or the soil sometimes, combines with water in a process called carbonation.
Biological weathering is the process where rocks are weaken or disintegrated by plants, animals or microbes.
The weathering processes on a smooth plain and on a cliff with ridges require the Mechanical Weathering and Biological/Chemical Weathering respectively.
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The correct question should be:
Which of the following indicates that different rocks in the same area might weather differently? Select the two correct answers.
A. Cliffs with ridges
B. Rock pillars in the middle of grassy plains
C. The rock atop a newly formed Mountain
D. A smooth plain
Justin, with a mass of 45 kg, is going down an 8.0 m high water slide. He takes a running start, giving him an initial speed of 3.0 m/s at the top of the water slide. If his speed at the bottom is 12 m/s, how much thermal energy is created by friction as he slides down the water slide?
Frictional heat generated as he descends the water slide is measured to be 490.5 J.
What causes that to be converted into heat energy by friction?
Sand that is moving will stop when it comes into contact with an obstruction due to the friction created by the contact, converting its kinetic energy to thermal energy, or heat.
m= 45Kg;
h= 8m;
vi = 3m/s
vf= 12m/s
Energy loss resulting from friction:
Final kinetic energy= Total initial energy
mgh plus 1/2mvi = - [ 1/2 m vf^2]
=> [45x9.8x8 + 1/2 x 45 x (3)^2] - 1/2 x 45 x (12)^2
=> 490.5J
What four different ways are there to transfer thermal energy?
There are several ways to transfer heat, including conduction, thermal radiation, convection, and evaporation cooling.
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assume there is negligible friction between each block and the surface. (a) indicate whether the speed of the center of mass of the two-block system is either constant or not constant during the time interval from t1 to t2, and explain why.
The speed of the center of mass of the two-block system is not constant during the time interval from t1 to t2. Since the block system experience external force by a spring causes acceleration of block A.
When a system is subjected to an external force, the centre of mass shifts as if?The centre of mass of a system remains stationary or moves at constant speed if it has already moving if there is no external force that acts on the system. The centre of mass accelerates in the presence of an external force in accordance with the formula F = ma.
Can the centre of mass be moved without an outside force?The centre of mass of a system of particles will not move if there is no external force that acts on them.
What variables affect the centre of mass?The mass of the rigid body, the distance of the mass from an axis, the system's axis, and the distribution of mass all influence where the centre of mass is located.
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The figure above shows Case 1 of an experiment. Initially, block A is held in place while in contact with a horizontal spring with spring constant that is compressed a distance and fixed to a wall.
The following events occur.
At time t1, the block A released from restAt time t2, the ideal spring reaches it uncompressed length, and block A leaves the springAt time t3, Block A colloid with and sticks to ideal block B, which is initially at restAt time t4, Block A and Block B slides together along the surface.assume there is negligible friction between each block and the surface.
A) Indicate whether the speed of the center of mass of the two-block system is either constant or not constant during the time interval from t1 to t2, and explain why.
Which material would best resist electricity?
The flow of electricity is referred to as current. Metals are generally excellent conductors, allowing current to flow freely. Insulators are materials that do not allow current to flow easily. Insulators include most nonmetal materials such as plastic, wood, and rubber.
What material can stop electricity?Electrical insulators are materials that do not allow electricity to pass through them. Plastic, rubber, wood, and glass are examples of these materials. Air also acts as an insulator. To keep electrical objects safe, most are constructed with insulators.
Electrical insulators include plastic, wood, glass, and rubber. That is why they are used to covering electrically conductive materials. The plastic that surrounds wires acts as an electrical insulator.
Thus, Insulators include most nonmetal materials such as plastic, wood, and rubber.
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A student walks up a hill. The student’s friend has the same mass and walks up the same hill, but completes the journey in less time. Which statement is true about the situation?
Since they both expended the same amount of energy, the statement that is true about the situation is: The student's friend developed more power than the student.
The correct option is C.
What is mechanical power?The rate at which mechanical energy can be given to a system is known as mechanical power. Remember that power is the transfer of energy over a given period of time. Although it can also be measured in watts, mechanical power is frequently expressed in horsepower.
Mathematically;
Power = work done/time taken
Since the student's friend walks up the hill at a faster rate, he developed more power than the student.
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Complete question:
A student walks up a hill. The student’s friend has the same mass and walks up the same hill, but completes the journey in less time. Which statement is true about the situation?
a. The student developed more power than the friend
b. The student expended more energy than the friend
c. The student's friend developed more power than the student
d. The student's friend expended more energy than the student
How do the physical properties of a gas compare to those of a liquid?
Gases and liquids both have a definite shape.
Liquids have a definite shape, while gases can change their shapes.
Gases take the shape of their containers, while liquids expand to fill their containers.
Liquids take the shape of their containers, while gases expand to fill their containers.
The physical properties of a gas compare to those of a liquid in the sense that liquids take the shape of their containers, while gases expand to fill their containers (option d).
What are physical properties?Physical properties are characteristics of a material that can be observed or measured without changing its chemical composition. Examples of physical properties include color, density, boiling point, etc.
Therefore, with this data, we can see that The physical properties of a gas are distinct from those of a liquid in that liquids take the shape of their containers, while gases fill them.
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Examine the heating curve for water in Section 12.7 (Figure 12.36 ). Explain why the curve has two segments in which heat is added to the water but the temperature does not rise.
The curve has two segments in which heat is added to the water but the temperature does not rise is because:
Horizontal lines reveal phase changes.All of the energy is used to completely change in between phases.What is heating curve?The temperature difference between the outside air temperature and the supply temperature of the heating system is known as the heating curve. According to the heating curve, the CH boiler must heat the water to a specific temperature at a specific outdoor temperature. Two parameters—the curve's slope and level—are used to describe this relationship.
The so-called "Stoker's table," which assisted in determining the required supply temperature of the heating system based on outside temperature, served as the prototype for the heating curve. Due to the weather-based control, which modifies the supply temperature in accordance with the outside temperature, a heating curve is automatically applied.
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Complete question:
Examine the heating curve for water in Section 11.7 (Figure 11.36). Explain why the curve has two segments in which heat is added to the water but the temperature does not rise.
evaluate each of the following to three significant figures and express each answer in sl units using an appropriate prefix: (a) 354 mg(45 km) / (0.0356 kn), (b) (0.004 53 mg) (201 ms), (c) 435 mn/23.2 mm.
The significant digits expressed in SI Units are: 0.447 kg.m/N, 0.911 kg.s and 18.8 GN/m
Significant digits are the digits in a measurement or calculation that are known with some level of accuracy. They include all digits that are certain, as well as one uncertain digit, also known as the last digit or the least significant digit. For example, in the number "12.34," the digits 1, 2, 3, and 4 are significant because they are all known with some level of accuracy. The number of significant digits in a measurement or calculation is important because it gives an indication of the precision of the measurement or calculation.
a) 354 mg (45 km)
(345 mg)(45 km)/0.0356 kN = [354(10^-3)g][45(10^3)m]/0.0356(10^3) N
= 0.447(10^3)g.m/N
= 0.447 kg.m/N
b) (0.00453Mg)(201ms) = [4.53(10^-3)(10^3)kg][201(10^-3)s]
= 0.911 kg.s
c) 435MN/23.2mm = 435(10^6) N/23.2(10^-3)m
= 18.75(10^9)N/m
= 18.8 GN/m
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Drag the tiles to the correct boxes to complete the pairs.
Match the pollution control method to its description.
incineration
settling
composting
gas adsorption
The match-ups of the various waste management are listed below.
What is waste management?
The collection, transportation, processing, and recycling or disposal of waste are all included in trash management. In order to lower environmental risks and protect resources, sustainable waste management systems incorporate advanced management techniques.
To keep as much waste out of the landfill as possible, each of us must contribute. Reduce, Reuse, and Recycle, also known as the 3 Rs of trash management, are one way to carry out that strategy.
Solid pollutants are burned during incineration.
Setting: Polluted water is permitted to remain motionless
Composting: Microorganisms are utilized to
Pollutants are drawn into contact with hard surfaces through gas adsorption.
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Answer:
Pollutants are captured through contact with solid surfaces.
-( gas adsorption )
Solid pollutants are burned and converted into harmless forms.
-( incineration )
Microbes are used to convert organic land pollutants harmless forms.
-( composting )
Polluted water is allowed to stand still for some time, until pollutants settle at the bottom. -( settling )
Explanation:
Correct/plato/edmentum
Bob, Nora, and Clara are discussing a problem in which the pressure and temperature of the air in a bicycle tire were given. The question asked for the new pressure on a much warmer day when the volume of the tire was the same as before. In the book, the pressures were given in units of psi (pounds per square inch), and the solution used the equation P, =P and kept the pressure in units of psi. Part of the students dialogue is given below. Clara: This really confuses me. I thought that pressure and volume had to be in the right units. Nora: It s okay to measure pressure in units of psi because we were talking in terms of air in a tire, psi works better for the pressure unit. It s more convenient, Bob: I just assumed it was OK to use psi as units since pressure is on both sides of the constant volume equation, so the units cancel. Clara: Oh, yeah. That must be right. So the pressure could be in mm of Hg and it would still work, right? Bob: I think so. Nora: But then why did we have to convert the temperature from Celsius to Kelvin? Temperature son both sides of the equation, too. I still don t get it. In 2-3 thoughtful and complete sentences, help Nora out: Why is it OK to keep the pressure in units of psi (not m) but its not OK to keep the temperature in Celsius? If you are puzzled, please explain clearly what it is that puzzles you.
We must multiply a conversion factor to convert pressure from one unit to another and a factor of 273 must be added to convert temperature from Celsius to Kelvin.
Explain in detail how the pressure and temperature are converted?We have pressure on both sides of the equation for pressure and temperature. As a result, the conversion factor is wiped out, and we may utilise pressure in any unit. In order to convert temperature from Celsius to Kelvin, we must add a factor of 273. As a result, the answers for Celsius and Kelvin are not the same. We use Kelvin instead of Celsius since it is a standard unit.
What is the relationship between pressure and temperature?Temperature and pressure are found to be linearly related. If the temperature is on the Kelvin scale, P and T are directly proportional and increases by a particular amount, just as the gas pressure.
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If the concentration of the reactants in a chemical reaction is increased, the rate of the
reaction usually
a. decreases.
B. increases.
C. remains the same.
Answer:
B. increases.
Explanation:
When the concentration of the reactants in a chemical reaction is increased, the rate of the reaction usually increases. This is because increasing the concentration of the reactants increases the number of collisions between reactant molecules, which increases the likelihood of a successful collision that leads to a reaction. This is known as the collision theory of chemical reactions.
the scatterplot shows five blue data points. these five points produce a regression line with slope 0. match each one of the red points (a through e) with the slope of the line after that one points is added
There will be a correlation off of the negative zero point of about 0.9 and the less steep line.
What is point line?The point's least-squares regression line. This is how it would seem, and. As a result, it is clear that the correlation coefficient for two will be around 0.75. Join the regression line using least squares. We have a positive court connection, but it isn't very strong since it will resemble this. This means that our correlation coefficient will be about 0.5 for. Check to see whether we can draw a least squares regression line connecting this point to the other locations. We're going to obtain something that approximately like this, and we see that this connection really has no directionality, Consequently, it is neither positive nor negative. As a result, for D, the correlation is zero. To add a little more interest, I'll change the colours. so that will be the case. Hey, there will be a correlation off of the negative zero point of about 0.9 and the less steep line.To learn more about scatterplot refer to:
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at one instant, a 15.0-kg sled is moving over a horizontal surface of snow at 4.50 m/s. after 8.70 s have elapsed, the sled stops. use a momentum approach to find the magnitude of the average friction force acting on the sled while it was moving.
The force acting on the moving sled is equal to F = 7.76 N while it was moving.
What are momentum and speed?Momentum and velocity are different in that momentum is a measurement of an object's amount of motion, whereas velocity is a measurement of an object's speed with direction. Velocity is one of the components of momentum since momentum is equal to an object's mass multiplied by its speed.
What, for instance, is friction force?Walking - When we walk on the ground or a surface, our feet are kept firmly planted by frictional force. We frequently slip on icy or slippery surfaces because there is less friction present.
Given,
Mass of sled = 15.0 Kg
speed of snow on horizontal surface = 4.50 m/s
time taken to stop = 8.70 s
initial momentum
= m U
= 15.0 x 4.50 = 67.5 Kg.m/s
final momentum
final velocity = 0 m/s
final momentum = 0
impulse = change in momentum
impulse = force x time
equating both the formula of impulse
F x t = 67.5 - 0
F x 8.70 = 67.5
F = 7.76 N
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Four particles have the following masses (in terms of m), speeds (in terms of v), and radii (in terms of r). Which two particles have the same centripetal force?
Particle Mass Speed Radius
1 m v r
2 m/4 2v r
3 2m v/2 r
4 3m 2v 3r
(A) Particle 1
(B) Particle 2
(C) Particle 3
(D) Particle 4
Particle 1 and Particle 2 these two particles have the same centripetal force.
correct option: (A) and (B)
What is centripetal force?Any force that changes the direction of motion toward the center of a circular motion is known as a centripetal force. The part of the force that produces the centripetal force is the part that is perpendicular to the velocity. Due to Earth's permanent axis of rotation, the direction of centrifugal force is always outward and away from the axis, which is the opposite of the direction of gravity at the equator and zero in the poles.
The direction of centrifugal force is always outward and away from the axis because the Earth revolves around a fixed axis. At the equator, it is therefore the opposite of the direction of gravity; at the poles, it is zero.
Centripetal acceleration is given by: a = v²/r
For particle 1: a₁ = v²/r
For particle 2: a₂ = (2v)²/2r = 2v²/r
For particle 3: a₃ = (v/2)²/r = v²/4r
For particle 4: a₄ = (2v)²/3r = 4v²/3r
centripetal force (F) = ma
Thus,
F₁ = = ma = mv²/r
F₂ = (m/2)a₂ = mv²/r
F₃ = 2ma₃ = 2mv²/4r = mv²/2r
F₄ = m4v²/3r = 4/3mv²/r
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