The kinetic energy of the book be as it hits the floor is - 29.4 kg(m²/s²) and the velocity of the book as it hits the floor is -5.422 m/s .
How is the kinetic energy calculated ?From the question we can get,
mass (m) = 2 kg
height (h) = 1.5 m
we know ,
P.E = mgh
∴ g =9.8 m/s
∴ P.E = 2 × 9.8 × 1.5
∴ P.E = 29.4 kg(m²/s²)
According to the law of conservation of energy, energy cannot be destroyed but can only be converted from one form to another. Because KE and PE are interconvertible, they do not violate the law of conservation of energy.
∴Total Energy = PE + KE
Because the total energy of the system will remain constant, total energy=0
∴ PE+KE=0
It means that
∴PE=-KE
Hence, the kinetic energy is - 29.4 kg(m²/s²)
How to calculate velocity ?We know,
K.E = 1/2 (mv² )
∴ -29.4 = 1/2 ( 2 × v²)
∴ -29.4 = v²
∴ v = √-29.4
∴ v = -5.422 m/s
Hence velocity of book is -5.422 m/s.
What is kinetic energy ?An object's kinetic energy is the energy it has as a result of its motion. It is defined as the amount of work required to accelerate a body of a given mass from rest to a certain velocity. The body retains its kinetic energy after gaining it during acceleration until its speed changes.
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What are some of the differences between a gravitational force and a magnetic force?
at least 5 details
Answer:
Some of the differences between a gravitational force and a magnetic force are:
Gravitational force is a type of attractive force that exists between two objects with mass, while magnetic force is a type of force that exists between two objects with a magnetic field.Gravitational force is always attractive, meaning that it pulls two objects towards each other, while magnetic force can be attractive or repulsive, depending on the direction of the magnetic fields.Gravitational force is proportional to the mass of the objects, while magnetic force is proportional to the magnitude of the magnetic field.Gravitational force is weaker than magnetic force, as it decreases with distance more quickly.Gravitational force is affected by the distance between the objects, while magnetic force is affected by the angle between the magnetic fields.Overall, gravitational force and magnetic force are two different types of forces that have different properties and behave differently in different situations.
a projective with a mass of 100g and another with a mass of 200g are fired from the same height with identical velocities, which will land first?
The velocity of the object would be 100m/s.
The pace is the directional velocity of an object in movement as an indication of its price of the trade-in role as determined from a specific body of reference and as measured through a selected fashionable of the time.
Speed defines the path of the movement of the body or the object. speed is mainly a scalar quantity. speed is basically a vector amount. it is the rate of alternate distance. it's miles the charge of trade of displacement.
The consistent pace is the rate at which an object travels equal displacements in equal instances. Variable pace it's far the velocity at which an object cuts one-of-a-kind displacements at different instances.
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How does the wear on a shoe and affect its coefficient of friction?
As shoes are worn down, there is a decrease in the coefficient of friction, that increases the risk of injury from a slip and fall for the one wearing it
How does the wear on a shoe affect its coefficient of friction?Wearing off shoes decreases the coefficient of friction that increases the risk of slip.
Rubber-soled shoes on a concrete surface can generate a coefficient of friction over 1.0µ. Generally, a coefficient of friction of 0.4µ to 0.5µ is considered a good traction offering.
One of the easiest and do-it-yourself ways to make shoes slip-resistant is to scuff the soles with sandpaper, a nail file, or with any rough surface, such as brick, gravel or rock. You have to simply rub the rough item on the sole of your shoe until small grooves appear.
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a floating leaf oscillates up and down three complete cycles in one second as a water wave passes by. the wave's wavelength is 10 meters. what is the wave's speed?
This water wave passes past while a floating leaf cycles down and up three times in a second. The wave's velocity will be 2 hertz.
What does that mean 2 hertz?Use this illustration The amount of waves that travel through a fixed location in a specific amount of time is known as frequency. The duration of a wave passing is therefore half a second. If so, the rate is 2 Hertz per second. Four Hertz is the frequency if 240 waves per hour are sent.
What does one Hz represent?One cycle per second, or hertz, is the SI unit for frequency (Hz). Cycles per second are represented as a hertz.
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a 5.00-m-long ladder, weighing 200 n, rests against a smooth vertical wall with its base on a horizontal rough floor, a distance of 1.20 m away from the wall. the center of mass of the ladder is 2.50 m from its base, and the coefficient of static friction between the ladder and the floor is 0.200. how far up the ladder, measured along the ladder, can a 600-n person climb before the ladder begins to slip?
Answer: 0.488 m
Explanation: I have my ways ;>
Which questions would help determine whether an article is scientifically accurate? Group of answer choices Is the author stating an opinion or a fact? Does the author have evidence for the given facts? Does the author like music? How many articles has the author written before? Does the author have a balanced diet?
0.08 gram mass of magnesium oxide will be formed.
What is mass?Mass is an intrinsic property in the mass of a body. It was the traditionally believed to the be related to the quantity of matters in the physical body, until it is discovery of the atom and particle in physics.
Mass is quantitative measure of inertia a fundamental quantity of all matters.
2Mg + O 2→2MgO
Molar mass of Mg =24 g
Molar mass of MgO =40 g
No. of moles of O2=6.022×10^20/6.022×10^23
=0.001 mole of O2
No. of moles of Mg=0.486/24
=0.02 moles of Mg
As moles of O 2
are less than 0.01, O 2
is limiting reagent and it is 0.002 moles of MgO is formed.
⇒0.002×40=0.08 g of MgO
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The galactic distances used to measure the acceleration of the universe are determined by observations of.
Answer:
Exploding white dwarfs
Explanation:
The galactic distances used to measure the acceleration of the universe are determined by observations of exploding white dwarfs. Some observations has shown the evidence that the universe is accelerating. This accelerating expansion result from observations of the brightness of distant supernovae.
Answer:
trigonometric parallax.
Explanation:
What is the ratio of ey,final, the maximum value of the y-component of the electric field immediately following the last polarizer, to eo, the amplitude of the electric field oscillations in the incident polarized beam?.
It is a 2:1 ratio of ey, final, the maximum value of the y-component of the electric field immediately following the last polarizer, to eo, the amplitude of the electric field oscillations in the incident polarized beam.
What is a ratio?
A ratio is the divisional comparison of two numbers.
We may find the ratio by dividing the second output by the first output, which corresponds to the first two outputs, or -1/8 and -1/4:
-1/4-1/8
We multiply by the reciprocal when dividing fractions:
-1/4x-8/1
When multiplying fractions, multiply across the board:
(-1x-8)/(4x1) 8/4=2
A ratio is a comparison of two or more numbers in mathematics that shows how big one is in comparison to the other. A ratio divides two amounts into equal parts, with the dividend or antecedent serving as the unit of comparison and the divisor or unit of comparison serving as the unit of comparison.
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what is expansion and contraction of matter?
Answer:
Thermal Expansion and Contraction. THERMAL EXPANSION AND CONTRACTION. Materials expand or contract when subjected to changes in temperature
Explanation:
Match each compound name with the correct chemical formula. Drag the items on the left to the correct location on the right. can someone help me with the last 3 please
Each compound name with chemical formula:
Silicon tetrafluoride - SiF₄
Potassium sulfite - K₂SO₃
Diphosphorous trisulfide - P₂S₃
Siver(II) fluoride - AgF₂
Magnesium perchlorate - Mg(ClO₄)₂
What is chemical formula?A compound's constituent elements and their relative proportions are listed in a chemical formula. No subscript is used when there is only one atom of a particular type. A subscript is added to the symbol for the atom when there are two or more of a particular type of atom present.
A chemical formula lists the constituent elements of a compound along with how many atoms of each are present in the compound's smallest unit, whether it be a molecule or a formula unit. We can name simple compounds given their chemical formulas by using the names of the elements and a few simple rules.
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%/450
O
7. A hollow plastic ball is projected into the air.
There is significant air resistance opposing the
ball's motion, so the magnitude of the ball's
acceleration is not equal to g. At time t, the ball is
moving up and to the right at an angle of 45° to
the horizontal, as shown above. Which of the
following best shows the magnitude a and the
direction of the ball's acceleration at time !?
9..
9...
quez
(A)
(B)
(C)
(D) O
THE CO 2012
Answer:
450%
Explanation:
Two animals that can be found at the Grand Canyon include the Abert's and Kaibab squirrels. The Abert's squirrel is
found at the south rim of the canyon and in a few surrounding states. The Kaibab squirrel, however, can only be found
at the canyon's north rim, mainly on the Kaibab Plateau. The Kaibab squirrel is not found anywhere else in the world.
Scientists believe that the squirrels are actually closely related and have developed separately as a result of
geographic isolation. It is possible that the squirrels were separated by plateau erosion that separated the forests and
isolated the Kaibab population. Some scientists are studying if the squirrels are now two separate species or if the
Kaibab squirrel is simply a subspecies of the Abert's squirrel. Separate species are unable to reproduce with each
other.
Which evidence would be used to support the claim that the squirrels are two separate species?
A.) The Abert's squirrel is found at the south rim of the canyon, but the Kaibab squirrel is found at the north rim of the
canyon.
B.) Geologists prove that plateau erosion is the main cause of forest separation in the region.
C.) Scientists observe that Abert's squirrels are slightly larger and have bushier tails than Kaibab squirrels do.
D.) When placed together in pairs for study, no pair of Abert's squirrel and Kaibab squirrel result in offspring.
The evidence that would be used to support the claim that the squirrels are two separate species is that when placed together in pairs for study, no pair of Abert's squirrel and Kaibab squirrel result in offspring which is therefore denoted as option D.
What is a Species?This is referred to as a group of organisms that can reproduce with one another in nature and produce fertile offspring.
In this scenario we were told that Abert's squirrel and Kaibab squirrel may be separate species and the evidence which will support that is that no pair of Abert's squirrel and Kaibab squirrel result in offspring.
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What can be done to decrease the amount of friction between two surfaces in contact? Explain.
Answer:
-Making the surfaces rough.
-By pressing the surfaces harder against each other (by increasing normal force).
-By removing the lubrication between the surfaces in contact.
-By using sliding motion rather than rolling motion.
-By increasing the surface area in contact.
Explanation:
What is quantum tunneling
Quantum tunneling can be described as a quantum mechanical process where wavefunctions can penetrate through a potential barrier.
In which system Quantum tunneling can be observed?The transmission via the potential barrier can be finite and also depend upon the barrier width as well as barrier height. The wave functions have the probability of disappearing on one side and reappear on the remaining side.
The 1st derivative of the wave functions is generally continuous. In the steady state, the probability flux is spatially uniform and no wave or particle is eliminated. Tunneling can occur with barriers of thickness about 1 to 3 nm and smaller.
Quantum tunneling plays a crucial role in phenomena such as nuclear fusion and α-radioactive decay of atomic nuclei. Quantum tunneling has applications in the tunnel diode, in scanning tunneling microscope, and in quantum computing.
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Quantum tunneling is a phenomenon in quantum mechanics where wavefunctions can pass through a potential barrier. It is a process that defies classical physics, where particles would be expected to bounce back when they encounter a barrier.
In quantum mechanics, particles are described by wavefunctions, which are mathematical representations of their quantum states. These wavefunctions can extend into regions that are classically forbidden, such as inside a potential barrier.
The probability of a particle "tunneling" through the barrier depends on various factors, including the width and height of the barrier. The wavefunctions have a certain probability of disappearing on one side of the barrier and reappearing on the other side.
One important characteristic of quantum tunneling is that the first derivative of the wavefunctions is generally continuous. This means that there is a smooth transition between the regions before and after the barrier. In the steady state, the probability flux is spatially uniform, meaning that no waves or particles are lost during the tunneling process.
Quantum tunneling has significant implications in various areas of physics. It plays a crucial role in phenomena such as nuclear fusion and alpha-radioactive decay of atomic nuclei. It also has practical applications, such as in tunnel diodes, scanning tunneling microscopes, and quantum computing.
Quantum tunneling is a fascinating phenomenon in quantum mechanics where particles can pass through potential barriers that classical physics would consider impossible to overcome.
In classical physics, particles are confined to their energy levels and cannot pass through energy barriers unless they have enough energy to overcome them. However, in quantum mechanics, particles can exhibit wave-like behavior and their wavefunctions can extend beyond the physical boundaries we would expect them to be confined to.
When a particle encounters a potential barrier, there is a probability that its wavefunction can penetrate through the barrier and appear on the other side. This means that even if the particle does not have enough energy to overcome the barrier classically, there is still a chance that it can "tunnel" through the barrier and continue its motion on the other side.
The probability of tunneling depends on factors such as the width and height of the potential barrier. In some cases, the wavefunction can completely disappear on one side of the barrier and reappear on the other side.
Quantum tunneling is not limited to any specific system but can occur in a wide range of phenomena. It has been observed in nuclear fusion, where particles overcome the Coulomb repulsion barrier and fuse together. It also plays a role in the alpha decay of atomic nuclei. Additionally, quantum tunneling has practical applications in devices like tunnel diodes, which exploit this phenomenon to create unique electrical behavior.
Overall, quantum tunneling is a fundamental concept in quantum mechanics that allows particles to defy classical limitations and pass through barriers that would be impossible to overcome classically.
Light is refracted through a diamond. If the angle of incidence is 30°, and the angle of
refraction is 12°, what is the index of refraction?
The answer is 2.4 but can someone show me how?
A diamond bends light as it passes through it. The refraction is 2.4 if the incidence angles is 30° and the incident ray is 12°.
How does refraction work?When light waves cross the border between two materials with different densities, like air and glass, their speed changes. They alter direction as a result, which is referred as as refraction.
What causes light to reflect?That speed with which light will alter as it passes via one media and then enters another. Refraction results as a result of this. The direction of light passage from air into water is altered as a consequence of the shift in medium.
Briefing:Snell's law states:
n₁sinθ₁ = n₂sinθ₂
n₂ = sinθ₁/ sinθ₂
n₂ = sin(30)/sin(12)
n₂ = 2.4
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Calculate the gravitational force between two objects when they are 0.750m
apart. Each object has a mass of 5.00kg.
A- 2.23x10^-8N
B- 3.00x10^-6N
C- 2.22x10^9N
D- 2.96x10^-9N
The gravitational force of attraction between two objects is 2.964 x 10⁻9 N. So, the correct option is D.
What is meant by gravitational force ?Gravitational force is defined as the force of attraction experienced by a body due to the gravity of earth.
Here,
Mass of each body,
m₁ = m₂ = 5 kg
Distance between the masses, r = 0.75 m
The equation for gravitational force is given by,
F = Gm₁m₂/r²
where G is the gravitational constant.
Therefore,
F = (6.67 x 10⁻¹¹x 5 x 5)/(0.75)²
F = 166.75 x 10⁻¹¹/0.5625
F = 2.964 x 10⁻9 N
Hence,
The gravitational force of attraction between two objects is 2.964 x 10⁻9 N.
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The 2023 ariya regenerative braking system recovers kinetic energy from the drive wheels and converts it into electrical energy to recharge the battery when ________.
The 2023 regenerative braking system recovers kinetic energy from the drive wheels and converts it into electrical energy to recharge the battery when the driver applies the brakes and the vehicle is coasting.
What is a regenerative braking system?A regenerative braking system is an energy recovery device aimed at maximizing the range while slowing the velocity of the vehicle via the transformation of the kinetic energy into another type of energy.
Therefore, with this data, we can see that a regenerative braking system is aimed at slowing the velocity by converting kinetic energy.
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A 3.0 kg object is moving in a circular path with a speed of 4.5 meters per second. If the radius of the circle is 0.25 meters, what is the force acting on the object?
The force acting on the 3.0 kg object is moving in a circular path with a speed of 4.5 meters per second is 243N.
How to calculate centripetal force?Centripetal force is the force on a rotating or orbiting body in the direction of the centre of rotation.
The centripetal force acting on an object can be calculated by using the following formula:
F = mv²/r
Where;
F = centripetal forcem = massv = velocityr = radiusAccording to this question, a 3.0 kg object is moving in a circular path with a speed of 4.5 meters per second. If the radius of the circle is 0.25 meters, the centripetal force is calculated as follows:
F = 3.0kg × 4.5²/0.25
F = 60.75/0.25
F = 243N
Therefore, 243N is the force acting on the object.
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help pls
An observer moves to the left with some velocity, v, at the same time a sound wave source moves to the left with twice the velocity of the observer. How will the frequency of the source be shifted as it passes the observer?
The observed frequency will be greater than the source’s frequency.
The observed frequency will be less than the source’s frequency.
The observed frequency will be the same as the source’s frequency.
The source never passes the observer.
The observed frequency will be greater than the source’s frequency (option - A) is correct answer.
What happens if both the observer and the sound source move?If the source and observer are moving simultaneously in either case—moving observer or moving source—you'll notice that the frequency increases. The frequency decreases if they are drifting apart. Whether the source is moving or the observer is moving will affect how much the frequency changes.
Although the waves move at the same speed, the frequency that is observed is affected by any relative movement between the source and the observer. The wavelength changes along with the observed frequency. When an observer and a source are moving in the same direction, the frequency rises and the wavelength falls.
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Explain the difference between balanced and unbalanced forces, and how they affect the motion of an object, include what the neIforce always is for balanced forces
When the balance of the forces acting on the object you are acting on results in no changes in motion. Unbalanced forces have an influence on the item that are acting on and do not cancel one another out.
What occurs in an unbalanced force?Two things cause this. An object will move if an imbalanced pressure pushes or pulls on it while it is at rest. Forces acting can also cause an item in motion to shift its speed or direction.
Why do forces with an unbalance move?Because of unequal power or strength delivered to one side of an item, an imbalanced force results in a shift in motion, pace, direction, or movements. There are forces working against the other side.
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In some situations the actual force of friction for an object at rest is less than the calculated force of friction. Explain why
There are several reasons why the actual force of friction for an object at rest may be less than the calculated force of friction. One possible reason is that the object may be on a surface that is not completely smooth, and the roughness of the surface may reduce the amount of friction between the object and the surface. Another reason is that the object may be moving slightly even when it is at rest due to factors such as air currents or vibrations, which can also reduce the amount of friction. Finally, the force of friction is also affected by the materials that the object and the surface are made of and the temperature and humidity of the environment. All of these factors can affect the actual amount of friction that is present and may cause it to be less than the calculated force of friction.
What is the elastic potential energy of a rubber band with a spring constant of 25.0 N/m if it is stretched by 10.0 cm from its original length?
Answer: 1,250 joules
Explanation: elastic potential energy is half of the spring constant multipied by extention squared so its 12.5 multiplied by 100 which is 1,250
how does the speed of the water in the constriction compare to the speed of the water in the rest of the pipe?
The speed of water in the constriction is faster when compared to the rest of the pipe.
The venturi effect consists of a physical phenomenon applied in fluid dynamics in which the pressure of flow decreases when there is a constraint in the conduct, accompanied by an increase in velocity of the fluid due to a decrease in cross-sectional area of the conduct.
The constriction is said to have a lower radius when compared to the rest of the pipe.
Applying the equation of continuity, A₁ v₁ = A₂ v₂
where, A is the area
v is the velocity
It is said from the above equation that, if area decreases velocity increases and if area increases velocity decreases, as velocity and area are inversely proportional to each other.
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hat is the width of a single slit thatproduces its first minimum atfor 600-nmlight? (b) find the wavelength of light that hasits first minimum at.
The width of the slit would be approximately 690 nm. The width of a slit refers to the size of the opening in the barrier that is used to produce the slit.
How to find width of slit ?The width of a single slit that produces its first minimum at 60 degrees for 600-nm light can be calculated using the formula for the width of a single slit, which is:
w = λ / (sin θ)
where w is the width of the slit, λ is the wavelength of the light, and θ is the angle at which the first minimum occurs. Plugging in the values for λ and θ, we get:
w = 600 nm / (sin 60°)
= 600 nm / (0.866)
= 690 nm
So the width of the slit would be approximately 690 nm.
It's important to note that this is just an approximate value, as the exact width of the slit will depend on the precise conditions of the experiment, such as the distance between the slit and the screen, the size and shape of the slit, and other factors.
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A figure skater is spinning slowly with arms outstretched. Shebrings her arms in close to her body and her moment of inertiadecreases by 1/2. Her angular speed increases by a factor of
A. 2
B. 1
C. 4
D. square root of 2
E. 1/2
The angular speed increase by a factor of 2 i.e. option (a). 2 is correct
The rate of change of angular displacement is referred to as angular speed. Radian per second is used to measure angular speed. Both angular velocity and angular speed are represented using the same formula.
Utilizing the angular momentum conservation law,
Li = Lf
Thus ,Li is the initial angular momentum and Lf the final angular momentum are, respectively.
L = IW, where I is the inertia momentum and W is the angular velocity, can also be used to determine angular momentum.
so, [tex]IiWi = IfWf[/tex]
[tex]L_{f} =\frac{1}{2} L_{i}[/tex]
According to the given condition, then from above two equation,
[tex]L_{i}W_{f} = \frac{1}{2}L_{i}W_{f}[/tex]
[tex]2W_{i} = W_{f}[/tex]
Thus the angular speed of the skater is factor of 2.
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what is the length of a pendulum whose period on the moon matches the period of a 2.8- m -long pendulum on the earth?
The length of a pendulum whose period on the moon matches the period of a 2.8 m long pendulum on the earth is 0.462 m.
The time taken for completing one cycle of oscillation is called the period of a pendulum. The factors affecting the period of a pendulum are the length of the pendulum and the gravity of the surface of the heavenly body. It never depends on the mass of the pendulum.
The period of a pendulum is given by the formula.
[tex]T=2\pi \sqrt{l/g[/tex]
Where
T= Time period
l= length of a pendulum
g= acceleration due to gravity of surface.
For the 2.8 m long pendulum on the earth,
[tex]T=2\pi \sqrt{2.8/9.8[/tex]
For the pendulum of length l on moon,
[tex]T=2\pi \sqrt{l/1.62[/tex]
The value of surface gravity g on moon is 1.62 [tex]m/s^{2}[/tex].
According to the question,
[tex]2\pi \sqrt{2.8/9.8[/tex]=[tex]2\pi \sqrt{l/1.62[/tex]
So, l=2.8/9.8×1.62
l= 0.462 m
So, the length of such pendulum is 0.462 m.
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A plant disease infected a field of wild blackberries. The first year many of the plants died from the disease. The next year fewer plants died. The third year, almost none of the plants died of the disease.
Why did fewer plant die from the disease each year?
The plant species that were resistant to the disease lived and reproduced. Therefore, option (D) is correct.
What is plant pathology?Plant pathology can be described as the scientific study of diseases in plants caused by pathogens and environmental conditions. Organisms that cause infectious diseases such as fungi, oomycetes, bacteria, viruses, viroids, phytoplasmas, protozoa, nematodes, and parasitic plants.
Plant pathology involves the study of pathogen identification, disease cycles, disease etiology, economic impact, plant disease epidemiology, plant disease resistance, how plant diseases influence humans and animals, genetics, and management of plant diseases.
Over time plants become more resistant to diseases. Therefore, fewer plants die from the disease each year.
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Your question is incomplete, most probably the complete question was,
A plant disease infected a field of wild blackberries. In the first year, many of the plants died from the disease. The next year fewer plants died. In the third year, almost none of the plants died of the disease.
Why did fewer plants die from the disease each year?
A. Over time, the species became less resistant to the disease.
B. All of the plants in the species were resistant to the disease.
C. None of the plants in the species were resistant to the disease.
D. Plants that were resistant to the disease lived and reproduced.
A tow truck pulls a 1225 kg car and accelerates at a rate of 3 m/s^2. What
is the force of the tow truck?
F = ma
Answer:
[tex] \huge{\boxed{3675 \: N}} [/tex]
Explanation:
The force acting on the tow truck can be found by using the formula
[tex] \bold{F = mass × acceleration} [/tex]
From the question
mass = 1225 kg
acceleration= 3 m/s²
F = 1225 × 3 = 3675
We have the final answer as
3675 NPlease help me!
A motorcycle traveling on the highway at a speed of 80.0 mi/hr passes a car traveling at a speed of 60.0 mi/hr. From the point of view (or frame of reference) of a passenger in the car, what is the velocity of the motorcycle? Write the equation in the form that I have gone over, with subscripts of: m = motorcycle rider, c = car passenger, e = earth, and assume the forward direction is positive.
The velocity of the motorcycle with respect to the passenger in the car is determined as 20 mi/hr.
What is the velocity of the motorcycle?The velocity of the motorcycle is determined by applying the principle of relative velocity.
The relative velocity is defined as the velocity of an object with respect to another observer.
A frame of reference is defined as the reference point or chosen base point in which a measurement is taken.
The relative velocity of the motorcycle is calculated by choosing an observer in the car as the frame of reference.
Mathematically, this formula is given as;
Vr = Vm - Vc
where;
Vm is the velocity of the motorcycleVc is the velocity of the carVr = 80 mi/hr - 60 mi/hr
Vr = 20 mi/hr
Thus, the relative speed of the motorcycle is a function of the speed of the car and the speed of the motorcycle.
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find the distance if Jerry runs at speed 8 km/hr in 2.5 hours
The distance will be 20km.
Like any other equation, the formula speed = distance time can be changed.
There are three possible arrangements for the formula:
Distance is determined by speed and time.
Time = Speed x Distance
Speed given = 8km/Hr
Time = 2.5 hours
Distance = Speed * Time
= 8 * 2.5
= 20 km
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Answer:
12.4274 miles or 20 kilometers
Explanation:
[tex]distance = time[/tex] × [tex]speed[/tex]
distance = 2.5hr × 8 kph
2.5 × 8 = 20 Note: this is if we solve with kilometers.
Let's solve with miles now.
Let's convert kph to mph.
Let's solve for mph, in this case, mph will be x, and y will be kph.
x = y ÷ 1.609344
x = 8 kph ÷ 1.609344
8 kph ÷ 1.609344 = 4.97097 mph
x = 4.97097 mph
Now, x will be distance. y will be time and z will be speed.
Let's solve for x:
x = y × z
y = 2.5
z = 4.97097
x = 2.5 × 4.97097
4.97097 × 2.5 = 12.4274
x = mph
x = 12.4274
x = 12.4274 mph
miles = hours × mph
12.4274 = 2.5 × 4.97097 = x
x = mph
x = 12.4274
x = 12.4274 mph
Hence, the right answer is 12.4274 miles or 20 kilometers.
To learn more about speed:
brainly.com/question/13943409
Correct me if I'm wrong :(
Happy to help!