ANSWER
\(\begin{gathered} Dis\tan ce=1000\operatorname{km} \\ Displacement=0\operatorname{km} \end{gathered}\)EXPLANATION
The distance for the car is the total space between the start of the journey and the end i. e. the amount of space the car covers in its 100 laps.
Therefore, the car's distance is:
\(\begin{gathered} 10\cdot100 \\ \Rightarrow1000\operatorname{km} \end{gathered}\)The displacement of the car is the measure of change in the position of the car.
Since the car returns to its starting position after 100 laps, there is no change from the original position of the car, hence , its displacement is:
\(0\operatorname{km}\)Calculate Time
d
12. A vehicle drives a distance of 26000 m at a speed of 65m/s, calculate the time taken for
this journey.
13. A train travels at a speed of 16 m/s and travel a distance of 3200 m, calculate the time it
takes the train to complete this journey.
urs 14. Calculate the time it takes to travel a distance of 672 km at a speed of 96 km/h.
15. A beetle travels at a speed of 0.09 m/s, it travels a distance of 1.08 m before it is caught
in a jar. Calculate the time taken for the beetle to run.
16. Carlisle is a distance of 35 miles away from Lockerbie. If I travelled at a constant speed
5147
deudate the time takon for this journey
12. The time taken for the journey is 400 s
13. The time taken for the train is 200 s
14. The time taken is 7 h
15. The time taken for the beetle is 12 s
16. The time taken for the journey is 0.0068 h
How do i determine the time taken?The time taken in each case as given by the question can be obtain as follow:
12. The time taken for the journey
Distance traveled = 26000 mSpeed = 65 m/s Time taken =?Time taken = Distance / Speed
Time taken = 26000 / 65
Time taken = 400 s
13. The time taken for the train
Distance traveled = 3200 mSpeed = 16 m/s Time taken =?Time taken = Distance / Speed
Time taken = 3200 / 16
Time taken = 200 s
14. The time taken to travel
Distance traveled = 672 kmSpeed = 96 Km/h Time taken =?Time taken = Distance / Speed
Time taken = 672 / 96
Time taken = 7 h
15. The time taken for the beetle
Distance traveled = 1.08 mSpeed = 0.09 m/s Time taken =?Time taken = Distance / Speed
Time taken = 1.08 / 0.09
Time taken = 12 s
16. The time taken for the journey
Distance traveled = 35 milesSpeed = 5147 mile per hourTime taken =?Time taken = Distance / Speed
Time taken = 35 / 5147
Time taken = 0.0068 h
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Which force causes motion?
Motion is caused due to external Force.
The universe contains multiple fundamental forces, including gravity, electromagnetic force, and weak and strong nuclear forces. However, when it comes to the motion of common objects, the forces of importance are primarily gravity, friction, and applied force.
The vector sum of all the forces acting on an object is the net force. That is, the net force is the sum of all forces, taking into mind that a force is a vector, and two forces of identical size and opposing direction cancel each other out.
When you apply force to an object, it moves. However, there is a little more to the story. Newton's second rule of motion asserts that you must total up all of the forces acting on a system to determine what will happen to it.
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What role do hypnosis in scientific inquiry
hypnosis, a growing body of scientific research supports its benefits in treating a wide range of conditions, including pain, depression, anxiety and phobias. "Hypnosis works and the empirical support is unequivocal in that regard.
Hello, I do not understand what this question is asking.
Scientists seek to acquire knowledge and understanding of the real world through the formulation, testing, and evaluation of what?
A. technology
B. scientific method
C. scientific hypothesis
D. deductive reasoning
Scientists seek to acquire knowledge and understanding of the real world through the formulation, testing, and evaluation of scientific hypotheses (Option C).
What are scientific hypotheses?Scientific hypotheses are explanations about questions of the real world that can be used to test them by using the scientific method, i.e., by testing them to confirm or reject their assumptions through experimental and observation procedures.
Therefore, with this data, we can see that a scientific hypothesis is formulated and tested by using the scientific method in order to confirm or reject its assumptions and thus build scientific knowledge.
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Answer:
Scientific hypothesis
Explanation:
Saturn is moving with uniform angular speed of 2πf along the circumference of it's orbit around the sun with radius R, having centre O. At any time, the angular position of Saturn is (2πf)t and the displacement in SHM at that time t is given by x(t)=Rcos(2πf)t. Find it's acceleration.
Answer:Sir haymo knows
Explanation:
he gave as homework
The acceleration of the Saturn is - (2πf)²x(t).
What is Simple harmonic motion?A motion in which the restoring force is directly proportional to the body's displacement from its mean position is known as a simple harmonic motion, or SHM. This restoring force always moves in the direction of the mean position. A particle moving in simple harmonic motion accelerates as a(t) = - ω² x (t). Here, ω denotes the particle's angular velocity.
The acceleration of the particle at any position is directly proportional to the displacement from the mean position in simple harmonic motion, which is an oscillatory motion.
Given that:
at any time, the angular position of Saturn is (2πf)t.
the displacement in SHM at that time t is given by x(t)=R cos(2πf)t.
Hence, speed in SHM at that time t is given by
\(v(t) = \frac{dx(t)}{dt} =R \frac{d }{dt} cos(2\pi f)t = -(2\pi f) sin(2\pi f)t\)
it's acceleration is
\(a(t) = \frac{dv(t)}{dt} =-(2\pi f) R \frac{d }{dt} sin(2\pi f)t = -(2\pi f)^2 Rcos(2\pi f)t = -(2\pi f)^2 x(t)\)
hence, at any time t, the acceleration of the Saturn is - (2πf)²x(t).
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What is the smallest organism?
Group B[1] 12 State Huygens's Principle [2] b) In a Young's double slit experiment, the fringe width obtained is 0.6 cm. When light of wave length 4500 Aº is used if the distance between the screen and the slit is reduced in half, what should be the wavelength of light used to obtain fingers 0.0045 m wide? [3]
The wavelength of light that should be used to obtain fringes that are 0.0045 m wide after reducing the distance between the screen and the slit by half is 2.25 * 10^7 Å.
Huygens's Principle states that every point on a wavefront can be considered as a source of secondary spherical wavelets that spread out in all directions with the same speed as the original wave. The new wavefront is formed by the envelope of these secondary wavelets at a later time.
Now, let's consider a Young's double-slit experiment. In this experiment, when light passes through two narrow slits, it creates an interference pattern on a screen behind the slits. The fringe width is the distance between two consecutive bright or dark fringes in the pattern.
Given that the fringe width obtained is 0.6 cm and the wavelength of light used is 4500 Å (Angstroms), we can calculate the wavelength of light required to obtain fringes that are 0.0045 m wide.
We can use the formula for fringe width in Young's double-slit experiment:
w = (λ * D) / d
Where:
w is the fringe width,
λ is the wavelength of light,
D is the distance between the screen and the double slits, and
d is the distance between the two slits.
Let's calculate the value of D/d using the given information:
D/d = w / λ
= 0.006 m / 4500 Å (1 m = 10^10 Å)
= 0.006 * 10^10 / 4500 m^-1
Now, if the distance between the screen and the slit is reduced by half, the new value of D/d would be:
(D'/d) = (0.006/2) * 10^10 / 4500 m^-1
Now, we can rearrange the equation to solve for the new wavelength (λ'):
(λ' * D') / d = (D/d)
λ' = (D/d) * d / D
= [(0.006/2) * 10^10 / 4500] * (4500 / 0.006) Å
= 0.0045 m * 10^10 / 2 Å
= \(0.00225 * 10^{10\) Å
=\(2.25 * 10^7\)Å
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Hereditarily environment and behavior or all aspects that to limit a persons what
For any human characteristic, both nature (heredity) and nurture (environment) are crucial.
What effects do a person's environment, upbringing, and behaviour have on them?Intellectual capacity, personality, and susceptibility for mental disease are just a few of the behavioural and psychological traits that each person's genes can affect. These traits can affect both parents and children within a family.
What aspects of personality are influenced by genetics and the environment?Because the main building blocks of personality, such as physicality, intelligence, and temperament are heavily reliant on a person's genetic endowment, heredity of the genetic base is a very essential factor in determining personality. The development of a person's personality is greatly influenced by their environment.
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if the mass of an object were doubled, its weight would be
Weight of a body is defined as the force with which it is attached to the earth.
mass is the total quantity of matter present.
the weight of something is given as mass * acceleration
weight of an object is directly proportional to the mass of the object. so, if mass doubles, weight will also double.
hope this helps :)
- jeron
Which in NOT a type of muscle?
a
Smooth
b
Flat
c
Cardiac
d
Skeletal
Answer:
flat lol, that's the answer
An airplane flying at 119 m/s is accelerated uniformly at the rate of 0.5 m/s2 for 10
seconds. What is its final speed?
Answer:
124m/s
Explanation:
v=u+at
v=119+(0.5×10)
v=119+5
v=124m/s
Atoms of elements in the same group of the periodic table share the same
Answer:
Atoms of elements in the same group of the periodic table share the same ELECTRONS
Explanation:
May I have brainliest please? :)
A 275 kg object and a 575 kg object are separated by 0.310 m. At what position (other than an infinitely remote one) can a 48.0 kg object be placed between the others so as to experience a net force of zero
Answer:
x = 0.1267 m
Explanation:
For this exercise we use the summation of the forces where the force is the gravitational force
F = \(G \frac{m_1m_2}{ r^2}\)
the equilibrium condition is
∑ F = -F₁₃ + F₂₃ = 0
F₁₃ = F₂₃
The gravitational force is attractive, so for the force to be zero the third body must be between the union line of the first two bodies
In this exercise they indicate the masses of the bodies, m₁ = 275 kg and m₂= 575 kg separated by a distance of r = 0.310 m, the third body of masses m₃ = 48.0 kg must be on the union line between them.
Let's set a reference system on body 1 with the x axis aligned with the two initial bodies
Let's look for the forces
F₁₃ = \(G \frac{m_1 m_3}{x^2}\)
F₂₃ = \(G \frac{m_2m_3}{(d-x)^2}\)
we substitute
G \frac{m_1 m_3}{x^2} = G \frac{m_2m_3}{(d-x)^2}
\(\frac{m_1}{x^2} = \frac{m_2}{(d-x)^2}\)
we solve
(d-x)² = \(\frac{m_2}{m_1}\) x²
we substitute the values
(0.310 - x)² = \(\frac{575}{275}\) x²
0.310² - 2 0.310 x + x² = 2.09 x²
1.09 x² + 0.620 x - 0.0961 = 0
let's solve the quadratic equation
x² + 0.5688x - 0.0881 = 0
x = [-0.5688 ±\(\sqrt{0.5688^2 + 4 0.0881 }\)] / 2
x = [-0.5688 ± 0.82221] / 2
x₁ = 0.1267 m
x₂ = -0.6955 m
we see that the position between the two masses is x = 0.1267 m
Particles q₁ +8.0 μC, q2 +3.5 μC, and
93-2.5 μC are in a line. Particles q₁ and q2 are
separated by 0.10 m and particles q2 and q3 are
separated by 0.15 m. What is the net force on
particle q₂?
Remember: Negative forces (-F) will point Left
Positive forces (+F) will point Right
+8.0μ.C
+91
0.10 m
+3.5 C
+92
0.15 m
-2.5μ C
93
The net force on particle q₂, located between particles q₁ and q₃, is approximately 189000 N. The force exerted by particle q₁ on q₂ is positive and equals 252000 N, while the force exerted by particle q₃ on q₂ is negative and equals -63000 N.
To find the net force on particle q₂, we need to calculate the individual forces exerted on q₂ by particles q₁ and q₃ and then determine their sum.
The force between two charged particles can be calculated using Coulomb's law:
F = k * |q₁ * q₂| / r²
Where F is the force between the particles, k is the electrostatic constant (k ≈ 9.0 x \(10^9\) Nm²/C²), q₁ and q₂ are the charges of the particles, and r is the distance between them.
First, let's calculate the force exerted on q₂ by q₁:
F₁₂ = k * |q₁ * q₂| / r₁₂²
F₁₂ = (9.0 x \(10^9\) Nm²/C²) * |(8.0 μC) * (3.5 μC)| / (0.10 m)²
F₁₂ ≈ 252000 N
The force is positive because q₁ and q₂ have opposite charges.
Next, let's calculate the force exerted on q₂ by q₃:
F₂₃ = k * |q₂ * q₃| / r₂₃²
F₂₃ = (9.0 x \(10^9\)Nm²/C²) * |(3.5 μC) * (-2.5 μC)| / (0.15 m)²
F₂₃ ≈ -63000 N
The force is negative because q₂ and q₃ have the same charge.
Finally, we can find the net force on q₂ by summing the individual forces:
Net force = F₁₂ + F₂₃
Net force = 252000 N + (-63000 N)
Net force ≈ 189000 N
The net force on particle q₂ is approximately 189000 N.
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An oil tanker has a mass of to, 40000 tonnes. It is 500m long and 40m wide. What is the mininum depth of harbor it requires?
The minimum depth of harbor of the oil tank is 2.22 m
The given parameters:
mass of the oil tanker, m = 40,000 tonnes
length of the tanker, l = 500 m
width of the tanker, w = 40 m
To find:
minimum depth of harbor
Note: The specific gravity of oil is approximately 0.9
The density of water (\(\rho_w\)) = 1000 kg/m³
Covert the given mass to kilogram
1 tonne = 1000 kg
40,000 tonnes = 40,000,000 kg
The density of the oil tanker is calculated as:
\(S.G = \frac{\rho_o}{\rho_w} \\\\\rho_o = S.G \times \rho_w\\\\\rho_o = 0.9 \times 1000\\\\\rho_o = 900 \ kg/m^3\)
The volume of the oil tanker is calculated as:
\(Volume = \frac{mass}{density} \\\\Volume = \frac{40,000,000}{900} \\\\Volume = 44,444.44 \ m^3\)
The minimum depth of harbor is calculated as:
\(height = \frac{volume}{Length \times width} \\\\height = \frac{44,444.44}{500\times 40} \\\\height = 2.22 \ m\)
The minimum depth of harbor of the oil tank is 2.22 m
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7. Which of the following statements concerning a short in a series circuit is true?
O A. A short causes the circuit voltage to increase.
B. A short circuit will draw less current than a properly functioning one.
C. A short circuit is similar to adding another resistor to the circuit.
D. Little or no current will flow through the circuit beyond the point of the short.
Answer:
A circuit that has little or no resistance
Explanation:
Apex
Little or no current will flow through the circuit beyond the point of the short a short in a series circuit .
What is a short in a series circuit?Simply said, a short circuit is a connection with low resistance between the two conductors delivering electricity to any circuit. This leads to an excessive current flow via the "short" in the power source and may potentially result in the power source being destroyed.
When there is a short in a series circuit, the current rises over its typical level. When a component is shorted, the voltage drop across it drops to 0V, while the voltage drop across the intact component rises.
In a series circuit, if there was a short circuit, one of the components would blow up and the circuit, or all the components, would cease to function. All of the lights would consequently go off. That would account for a blackout even if one component had a short circuit.
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_______ is the most common pollutant; we often simply refer to it
as "smog".
Ground-level ozone is the most common pollutant that is often referred to as "smog".
What is smog?Smog is a type of air pollution that is characterized by a mixture of smoke and fog.
It typically forms in urban areas with high levels of vehicle and industrial emissions, as well as natural factors such as temperature inversions.
Smog is composed of a complex mixture of pollutants, including ground-level ozone, nitrogen oxides, sulfur oxides, particulate matter, and volatile organic compounds (VOCs).
Exposure to smog can cause a range of health problems, including respiratory issues, heart disease, and cancer. It can also have negative impacts on the environment, including damage to crops, forests, and bodies of water. Efforts to reduce smog often involve reducing emissions from vehicles and industrial sources and promoting cleaner forms of transportation and energy production.
Therefore, The Ground-level ozone is the most common pollutant that is often referred to as "smog".
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What do you still wonder about force and motion as it relates to the pod and asteroid collection mission that did not go as planned?.
To collect the asteroid an equal magnitude of the force in opposite direction is needed.
What is force ?
The motion or speed of an object depends upon the magnitude and the direction of the force.
If the direction of the force is against the direction of motion, then the object will slow down or stop. The two forces of the same magnitude in the opposite direction cancel each other and the collided objects stop each other.
Therefore, to collect the asteroid an equal magnitude of the force in opposite direction is needed.
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1. What is the potential energy of a 5.0-kg
object located 2.0 m above the ground?
A. 2.5 J
C. 98 J
B. 10 J
D. 196 J
Answer:
C. 98 J
Explanation:
The appropriate formula is ...
PE = mgh . . . . . m is mass; below, m is meters
PE = (5 kg)(9.8 m/s^2)(2 m) = 98 kg·m^2/s^2
PE = 98 J
Create an Energy Concept Map that has all the key terms from the Energy unit. The words should connect with lines, and explanation of why the connection is there should be written on the line.
Energy conservation is the principle that energy is neither created nor destroyed, but can only be converted or transferred. It involves using energy-efficient appliances and transitioning to renewable energy sources to reduce consumption and environmental impact.
Energy conservation refers to the principle that energy cannot be created or destroyed; it can only be converted from one form to another or transferred between systems. This principle is based on the law of conservation of energy, also known as the first law of thermodynamics. In other words, the total amount of energy in a closed system remains constant over time.
One example of energy conservation is the use of energy-efficient appliances in households. By using appliances that are designed to minimize energy waste, such as energy-saving light bulbs, efficient refrigerators, or insulated windows, individuals can reduce their energy consumption and lower their electricity bills. These appliances are designed to convert electrical energy into useful forms, such as light or heat, with minimal energy losses.
Additionally, energy conservation plays a crucial role in sustainable practices and environmental preservation. For instance, reducing reliance on non-renewable energy sources like fossil fuels and transitioning to renewable energy sources such as solar or wind power helps conserve natural resources and reduces greenhouse gas emissions.
In summary, energy conservation is the principle that states energy cannot be created or destroyed but can only be converted or transferred between different forms. By adopting energy-efficient practices and utilizing renewable energy sources, individuals and society can contribute to conserving energy and mitigating environmental impact.
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The question probable may be:
Explain the concept of energy conservation and provide an example of how it applies in real-life situations.
Please help this question
Answer:
Kantians would say that Sharkeisha acted immorally since she increased overall pain.
A block of metal requires a frictional force F to keep it moving with constant velocity across a surface. If the coefficient of friction is μ, then the normal force N is given by _____?
Answer: The normal force N is given by N = μ * F, where μ is the coefficient of friction and F is the frictional force required to keep the block of metal moving with constant velocity across a surface. The frictional force F is equal to the normal force N multiplied by the coefficient of friction μ. The normal force is the force exerted by the surface on the block of metal perpendicular to the surface, and it is what opposes the weight of the block and prevents it from sinking into the surface.
Explanation:
The player that possess the best ball handling skills and usually handles the ball often
(P.E. - Basketball)
The Point Guard or Playmaker is the player with the best skill with the ball and who controls the rhythm of the game.
In basketball, the playing positions are generally divided into two groups that are:
Interiors: An interior game is called that which is developed from spaces very close to the rim (approximately 4 or 5 meters)Exteriors: An outside game is called that which is generated in distant rim spaces (beyond the 6.75-meter line)Within this classification, the interior and exterior positions have been subdivided as follows:
Outside positions: Point guard, shooting guard, and small forward.Inside positions: power forward and center.The Point Guard is in charge of directing the game. Generally, he moves the ball from one court to another to get it into play as soon as possible. His functions are:
OrganizeDirectControl the rhythm of the gameDepending on the game situationHis usual playing area is the central perimeter area. This player must be characterized by:
Good peripheral vision.Great ability to go indoors and outdoors, overlong and short distances.The great skill with the ball.A lot of agility of feet and hands to defend.Learn more about basketball in: https://brainly.com/question/4513828
To maximize the percentage of the power from the emf of a battery that is delivered to a device external to the battery, what should the internal resistance of the battery be?
Answer:
the internal resistance of the battery be minimized
Explanation:
Because from
P= I²R+I²r
The amount of emf of battery delivered to the external load depends on internal resistance r such that the smaller the r the higher the emf
The internal resistance of the battery be :
-minimized.
Resistance of BatteryThe internal resistance of the battery be minimized.
Internal resistance refers to the restriction to the stream of current advertised by the cells and batteries themselves coming about within the era of warm.
Internal resistance is measured in Ohms.
The relationship between inside resistance (r) and emf (e) of cell s given by. e = I (r + R).
The sum of emf of battery conveyed to the outside stack depends on inside resistance r such that the littler the r the higher the emf.
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6. The rate at which velocity changes is called
O speed
O direction
O acceleration
O displacement
The wave equation says that a waves __ is equal to its wavelength times is frequency.
Answer:
speed
Explanation:
The wave equation says that a waves speed is equal to its wavelength times is frequency.
Is there a difference between shapes when plotting Uniform acceleration towards (+)directtion,Uniform acceleration towards (-)direction, Uniform deceleration towards (+) direction and Uniform deceleration towards (-) direction in displacement time graph.Can you draw the shapes for each type ?
Explanation:
Yes, there are differences in the shapes of position-time graphs for uniform acceleration and uniform deceleration in different directions. Let's consider each case separately:\(\hrulefill\)
(1) - Uniform acceleration towards the positive direction:
In this case, the object is moving in the positive direction with a constant acceleration. The displacement-time graph will typically be a curve that starts from an initial position and shows a steady increase in displacement over time. The shape of the graph will depend on the specific acceleration value.
(2) - Uniform acceleration towards the negative direction:
In this case, the object is moving in the negative direction with a constant acceleration. The displacement-time graph will also be a curve, but it will show a steady decrease in displacement over time.
(3) - Uniform deceleration towards the positive direction:
In this case, the object is initially moving in the positive direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a positive slope and gradually levels off.
(4) - Uniform deceleration towards the negative direction:
In this case, the object is initially moving in the negative direction but is slowing down with a constant deceleration. The displacement-time graph will be a curve that starts with a negative slope and gradually levels off.
Using the same cost and time estimates, consider any trade-offs that Drehex Corporation may have to make to complete the project. Camilla John Nora Oracio Cost per Hour $40 $30 $20 $15 Time to Complete Job 20 hours 30 hours 40 hours 50 hours Ideally, the process of technological design should be cost-effective and time-effective. However, sometimes this is simply not possible and trade-offs are necessary. Explain the trade-offs Drehex Corporation may have to make to complete the project.
Drehex Corporation may need to make trade-offs between cost and time to complete the project, considering the hourly rates and time estimates of their team members.
Corporation may have to make several trade-offs to complete the project based on the cost and time estimates provided. Here are some possible trade-offs they may need to consider:
Cost vs. Time: The corporation may need to decide whether to prioritize completing the project quickly or keeping the costs low. If they want to minimize costs, they might opt for a longer completion time by choosing a team member with a lower cost per hour. Conversely, if time is crucial, they might choose a team member with a higher cost per hour to expedite the process.Expertise vs. Cost: The team members have different levels of expertise, as indicated by their respective costs per hour. Drehex Corporation may need to evaluate the trade-off between the level of expertise required for the project and the associated cost. They might decide to invest more in a highly skilled team member to ensure the quality and efficiency of the project, even if it means incurring higher costs.Resource Allocation: The corporation will need to allocate resources effectively among the team members to ensure a balanced workload. They may need to assign tasks and responsibilities based on individual strengths and expertise, considering the trade-off between utilizing the most capable team members and maintaining a fair distribution of work.Quality vs. Time/Cost: The trade-off between project quality and time/cost is a common consideration. If Drehex Corporation wants to deliver a high-quality output, they might need to allocate more time and resources to ensure thoroughness and attention to detail. Conversely, if time or cost constraints are significant factors, they may need to compromise on certain aspects of quality to meet project deadlines or budget limitations.Ultimately, the trade-offs Drehex Corporation makes will depend on their specific project goals, budget, timeline, and the importance they place on factors such as cost-effectiveness, timeliness, expertise, and quality. Balancing these trade-offs effectively is crucial for successful project completion.
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Answer:
Sample Response: Oracio is the most cost-effective choice because he would cost the least to complete the project. However, he would also take the longest amount of time. Camilla could complete the job the fastest, but she costs more than Oracio. Drehex Corporation will have to decide if it is more important to save money or complete the work quickly to meet the deadline.
Explanation:
Find the magnitude Fh of the force required to slide the lawnmower over the ground at constant speed by pushing the handle
Given data
*The given mass of the lawnmower is m
*The given coefficient of friction is
\(\mu\)*The force exerted by the handle is
\(F_h\)The free-body diagram is given below
The net force acting in the horizontal direction is given as
\(\begin{gathered} f-F_h\cos \theta=0 \\ \mu N-F_h\cos \theta=0 \\ \mu N=F_h\cos \theta \end{gathered}\)The net force acting in the vertical direction is given as
\(mg+F_h\sin \theta=N\)Now, Substitute the values in the horizontal direction of the forces equation as we get
\(\begin{gathered} \mu(mg+F_h\sin \theta)=F_h\cos \theta \\ F_h=\frac{\mu mg}{(\cos \theta-\mu\sin \theta)} \end{gathered}\)