The stone takes 3 seconds to reach the floor as a result. It is crucial to verify motion equations with t = 0 in order to remember any irregularities, if any in the motion.
What does motion mean?In physics, motion is defined as a change in a body's position or orientation over time. Translation is the term for movement across a plane or a curve. Rotation is another motion that modifies a body's orientation.
Describe an abnormality?Anomalies, then, are phenomena that stick out since they appear peculiar or unexpected.
An observation that deviates from the predictions made by a well-established scientific theory Unusual observations may motivate researchers to reevaluate, revise, or develop.
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5. If 20kg body falls down ward freely from 40m building, find the kinetic energy of this body when at a height of 30m above the ground?
Answer:
The kinetic energy of an object is given as .5mv2, where m is
the mass of the object, and v is the velocity of the object. So in
this case, we can't determine the kinetic energy directly, but we
can determine the potential energy, which is given by mgh, where m
is the mass, g is the gravitaional constant, and h is the height
above the ground that the object falls from. We know that all of
the potential energy is going to be converted into kinetic energy.
So mgh = .5mv2. (20 kg)(9.8 m/s2)(30 m)= 5880J
Explanation:
The kinetic energy of an object is given as .5mv2, where m is
the mass of the object, and v is the velocity of the object. So in
this case, we can't determine the kinetic energy directly, but we
can determine the potential energy, which is given by mgh, where m
is the mass, g is the gravitaional constant, and h is the height
above the ground that the object falls from. We know that all of
the potential energy is going to be converted into kinetic energy.
So mgh = .5mv2. (20 kg)(9.8 m/s2)(30 m)= 5880J
Answer:
300joules
Explanation:
1÷2×20×30=
20×15=
A type of force that a person or machine exerts (pushes or pulls) on an object that may cause a change in velocity of an object.
The applied force is a type of force that a person or machine exerts (pushes or pulls) on an object that may cause a change in the velocity of an object.
What is applied force?A kind of force that a person or machine applies to an item (pushes or pulls) that could modify the object's velocity, Gravity. The force of attraction between the earth and all objects on earth caused by their masses is known as weight.
When someone pulls something, what kind of force is used?Frictional force is the name given to this kind of force. When an object's surface comes into touch with the surface of another object, it typically resists the motion of the object. Applied Force: When a person or an item exerts pressure on another thing, the object is moved as a result.
Is the kind of force produced when a physical push or pull is applied to an object?Contact forces include friction, pushing, and pulling. a tug and friction from touch. A contact force is created when two items are physically contacting and working together, for as when you throw a ball.
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Two toy cars with different masses originally at rest are pushed apart by a spring between them. Which of the following statements would be true? Select two answers. (A) both toy cars will acquire equal but opposite momenta (B) both toy cars will acquire equal kinetic energies (C) the more massive toy car will acquire the least speed (D) the smaller toy car will experience an acceleration of the greatest magnitude
The answers are A)and B) both toy cars will acquire equal but opposite momenta and both toy cars will acquire equal kinetic energies
What is the rationale behind Newton's law?There is an equal and opposite reaction to every action, according to Newton's third law of motion. So, when a spring pushes the two toy cars apart, the force exerted on each car will be equal in magnitude but opposite in direction. Since force is equal to the rate of change of momentum, the two cars will acquire equal but opposite momenta.The kinetic energy of an object is given by the equation KE = 1/2 * m * v^2, where m is the mass of the object and v is its speed. Since the two toy cars have different masses, they will not acquire the same kinetic energy.To learn more about newtons law refer:
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What three requirements must be satisfied to initiate and sustain combustion?1. A fuel must be present2. Oxygen must be available in a big enough quality to combine with fuel3. Heat must be applied to initiate the combustion, sufficient heat must generated to sustain the reaction
To start and maintain combustion, three conditions must be met: heat, fuel, and oxygen.
What is the straightforward meaning of combustion?a chemical interaction between different compounds, generally including oxygen, that produces heat in the kind of flames. burning coal or wood of any type to heat our home. Buses and cars utilize gasoline or diesel to operate. Your cooktop is powered by natural gas or LPG. The burning of these gases facilitates cooking.
Why does anything burn?To sum up, three elements must be present for combustion to take place: a fuel to be destroyed, a source of carbon, and a sources of heat. Combustion results in the production of exhausts and the release of heat.
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calculate the magnitude of the y component of this vector if the magnitude is 15.7 and the angle theta-a is 16.0 degrees.
The magnitude of the y component of this vector if the magnitude is 15.7 and the angle theta-a is 16.0 degrees is 22.42.
What is the magnitude of vector y?|v| =(x2 + y2) is the formula to calculate the magnitude of a vector in two dimensions, where v = (x, y).
If v=a,b is the position vector, then |v|= [tex]\sqrt{}[/tex]a2+b2 will provide the magnitude. Depending on the application, the direction is equal to the angle made with the x-axis or the y-axis.
The length of a vector determines its magnitude. The letter "a" stands for the vector's magnitude.
The axis of coordinates y is parallel to x. Note: The x and y component axes are vectors in and of themselves! They have a direction and a magnitude.
[tex]\sqrt{}[/tex] |v|=a2+b2
[tex]\sqrt{}[/tex]15.[tex]7^{2}[/tex] + 16.[tex]0^{2}[/tex] = 22.41
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A horizontal string tied at both ends is vibrating in its fundamental mode. The traveling waves have speed v, frequency f, amplitude A, and wavelength λ.
A) Calculate the maximum transverse velocity of the point located at x=λ/2.
Express your answer in terms of the variables v, f, A, λ, and appropriate constants. vmax =
B) Calculate the maximum transverse acceleration of the point located at x=λ/2.
Express your answer in terms of the variables v, f, A, λ, and appropriate constants. amax =
C) What is the amplitude of the motion at the point located at x=λ/2?
Express your answer in terms of the variables v, f, A, λ, and appropriate constants.
ASW = D) How much time does it take the string to go from its largest upward displacement to its largest downward displacement at the point located at x=λ/2?
Express your answer in terms of the variables v, f, A, λ, and appropriate constants. t =
Two stones are thrown vertically upward from the ground, one with three times the initial speed of the other. Assume free fall.
A)If the faster stone takes 11.0s to return to the ground, how long will it take the slower stone to return?
B)If the slower stone reaches a maximum height of , how high (in terms of ) will the faster stone go?
At the instant the traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 2.70 ms2. At the same instant, a truck, traveling with a constant speed of 14.7m/s , overtakes and passes the automobile.
How far beyond its starting point does the automobile overtake the truck?
How fast is the automobile traveling when it overtakes the truck?
In two stones thrown vertically upward problem, it will take the slower stone 3.67 seconds to return and faster to go 303.6 m high. In vehicles overtaking problem, automobile overtakes the truck 60.16m beyond, and is traveling at 14.7m/s when it overtakes the truck.
Two stones thrown vertically upward problem:
A) To solve this problem we need to use the equation of motion for free fall under gravity: h = -1/2 gt^2 + vt + h0, where h is the height of the stone, g is the acceleration due to gravity, t is the time, and h0 is the initial height. Since we know that the stone is thrown vertically upward from the ground, the initial height h0 is 0.
We also know that the stone is in free fall, so the velocity v is 0 and the final height h is also 0.
We can use this information to find the time it takes for the faster stone to return to the ground:
h = -1/2 gt^2 => 0 = -1/2 (9.8 m/s^2) t^2 => t = √(2h/g) => t = √(2*0/9.8) => t = 0
Now, we know that the faster stone takes 11.0s to return to the ground, and that the faster stone has 3 times the initial speed of the slower stone.
So, the slower stone will take (11.0s/3) = 3.67s to return to the ground.
B) If the slower stone reaches a maximum height of h, then the faster stone will go 3h high.
We can use the equation of motion for free fall under gravity to find the maximum height of the slower stone:
h = -1/2 gt^2 + vt + h0 => 0 = -1/2 gt^2 + 0 + 0 => h = -1/2 gt^2 => h = -1/2 (9.8 m/s^2) (3.67 s)^2 => h = -1/2 (9.8 m/s^2) (13.41 s^2) => h = -1/2 (9.8 m/s^2) (13.41 s^2) => h = -101.2 m
So, the faster stone will go 3*101.2 m = 303.6 m high.
Automobile and truck problem:
We can use the equations of motion for constant acceleration.
First, we need to find the time it takes for the automobile to overtake the truck. We can use the equation: v = u + at, where v is the final velocity, u is the initial velocity (0 m/s for the automobile), a is the acceleration (2.7 m/s^2) and t is the time.
So, v = 0 + 2.7t
Next, we can use the equation of motion for relative motion: v = v_t - v_a, where v_t is the velocity of the truck and v_a is the velocity of the automobile. So, v = 14.7 - 2.7t
We can now set the two equations equal to each other: 14.7 = 2.7t. So, t = 5.44 seconds.
To find the distance the automobile travels before overtaking the truck, we can use the equation: s = ut + (1/2)at^2. Plugging in the known values, s = (1/2) (2.7 m/s^2) (5.44 s)^2 = 60.16 m
To find the velocity of the automobile when it overtakes the truck, we can use the equation: v = u + at. Plugging in the known values, v = 0 + 2.7 (5.44 s) = 14.7 m/s
So, the automobile overtakes the truck 60.16m beyond its starting point and the automobile is traveling at 14.7m/s when it overtakes the truck.
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a ball is thrown into the air with an initial velocity of 10 m/s at an angle of 45 degrees above the horizontal, as represented above. question which of the following representations of the velocity and acceleration of the ball is true?
The horizontal component of velocity is 7.07 m/s and the vertical component is 7.07 m/s and acceleration of the ball is -9.8 m/s^2 directed downward.
How can velocity be represented?The velocity of the ball can be represented as vector with both horizontal and vertical components. The horizontal component of velocity is given by vx = v * cos(θ), where v is initial velocity and θ is angle of launch measured from the horizontal. Vertical component of velocity is given by vy = v * sin(θ), where v is the initial velocity and θ is the angle of launch measured from the horizontal.
Given, initial velocity of 10 m/s at an angle of 45 degrees above the horizontal,
Velocity:
Horizontal component of velocity is vx = 10 * cos(45) = 7.07 m/s
Vertical component of velocity is vy = 10 * sin(45) = 7.07 m/s
Acceleration:
acceleration of the ball is -g, directed downward with a magnitude of 9.8 m/s^2
Horizontal component of velocity is 7.07 m/s and the vertical component is 7.07 m/s
Acceleration of the ball is -9.8 m/s^2 directed downward.
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The density of a person's blood proteins is about 1.2 g/cm³. Express the density in kilograms per cubic meter.
The density of the person's blood proteins in kilograms per cubic meter is 1200kg/m³.
What is density?Density is a measure of the mass of matter contained by a unit volume.
Densities refer to the measure of relative compactness. The definition of this measure can be expressed as mass, m, in a particular volume, v.
The density of a substance can be calculated using the following formula;
ρ = m/V
ρ = density, kg/m³, or g/(cm)³m = mass, in kg or gV = volume, in m³ or (cm)³Here, ρ = density, m = mass, and v = volume
According to this question, the density of a person's blood proteins is about 1.2 g/cm³.
1 gram/cubic centimetre = 1000 kilograms/cubic metre
Therefore, 1.2g/cm³ is equivalent to 1200 kg/m³.
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A 2140 kilogram railroad flatcar, which can move with negligible friction, is motionless next to a platform. A 242 kilogram sumo wrestler runs at 5.3 \text{~m/s}5.3 m/s along the platform (parallel to the track) and then jumps onto the flatcar. What is the speed of the flatcar if he then stands on it?
We use the letters M for the car's mass and m for the sumo wrestler's mass. Let the end speed of the car be v and initial velocity of a pro wrestler be v 0 >0. the speed of the flatcar if he then stands on it 1.1m/s.
How can the starting velocity be determined?How can one calculate beginning velocity Determine which of the following must be solved obtain the beginning velocity: displacement (s), final velocity (v), acceleration (a), and time (t) (u). Use u = v at if you have v, a, and t. Using u ≈ 2(s/t) — v if you have the variables s, v, and t.
(a) From mν0 = (M+m)ν we get
ν = M+mν0
= 2140kg + 242kg (242kg)(5.3m/s) = 0.54m/s .
(b) Since ν rel =ν 0 , we have
mν 0 =Mν+m(ν+ν)rel)=mν 0 +(M+m)ν ,
and obtain ν=0 for the final speed of the flatcar .
(c) Now mν 0 =Mν+m(ν−ν rel ) , which leads to
ν = m+Mm(ν 0 +ν rel)
=242kg +2140kg (242kg(5.3m/s + 5.3m/s0)) = 1.1m/s
What do starting and final velocity mean?When gravity first exerts force on an object, its initial velocity defines how quickly the object moves. The final velocity, on the other hand, is a vector number that gauges a moving body's speed and direction after it reached its highest acceleration.
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A satellite is following an elliptical orbit around earth. Its engines are capable of providing a one time impulse of a fixed magnitude. In order to maximize energy of satellite the impulse should be given
A Along satellite’s velocity when satellite is at perigee
B Along satellite’s velocity when satellite is at apogee
C Away from earth, when satellite is at perigee
D Away from earth, when satellite is at apogee
A satellite following an elliptical orbit around Earth will have different velocities at different points in its orbit, specifically at its perigee (the point in its orbit where it is closest to Earth) and at its apogee (the point in its orbit where it is farthest from Earth).
What to do to maximize the energy of satellite?To maximize the energy of the satellite, the impulse should be given in a specific direction.Here are the main points:A satellite in an elliptical orbit around Earth will have different velocities at its perigee and apogee.To maximize the energy of the satellite, the impulse should be given in a specific direction:Along the satellite's velocity when satellite is at perigee (Option A)This will increase the energy of the satellite and raise its orbit.It is the best option as the perigee is the closest point to earth where the gravitational potential energy is minimum thus providing the highest change in potential energy.Impulse away from Earth when the satellite is at perigee(Option C) is not the best option as it will decrease the energy of the satellite, lowering its orbit.To learn more about satellite refer:
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a 42-n block is pulled along a horizontal surface by a force of 28-n as shown. what is the normal force on the block?
The normal force of a 42-N block when pulled along a horizontal surface by a force of 28-N is 411.6 N.
How will you calculate it.
The normal force is the force that acts perpendicular to the surface the object is on. In this case, the normal force is equal to the weight of the block, which is equal to the mass of the block multiplied by the acceleration due to gravity.
The weight of the block can be calculated using the formula: weight = mass * gravity
The mass of the block is 42 N, and the acceleration due to gravity is 9.8 m/s^2 (on earth)
So, the weight of the block is 42 N * 9.8 m/s^2 = 411.6 N
Therefore, the normal force of a 42-N block when pulled along a horizontal surface by a force of 28-N is 411.6 N.
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it was wilbur who came up with the idea of adjusting the wings on a glider to capture winds and guide it
No, The engine's lack of power necessitated the usage of the concept of wing warping to generate additional lift. Wright brothers, by bending the wing and twisting the trailing edges of each wing in different directions.
The aircraft's wings resemble bird wings in many ways.
We constructed many of these toys, all of which successfully flew. Wright, Orville Over a century ago, in 1903, the goal of the flight was fulfilled for man. Wilber and Orville Wright were given the 821,393 Flying Machine patent by the US on May 22, 1906. It was a discovery that would alter the course of history.
The 1903 Wright Flyer, which Wilbur and Orville Wright developed over the course of four years, was the first successful powered aircraft. On December 17, 1903, with Orville at the controls, it made its inaugural flight over Kitty Hawk, North Carolina.
The first motorized airplane may have been created by the Wright brothers.
The correct question is:
who came up with the idea of adjusting the wings on a glider to capture winds and guide it?
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A mass is attached to the end of a spring and set into oscillation on a horizontal frictionless surface by releasing it from a stretched position. If the maximum speed of the object is 2.23 m/s, and the maximum acceleration is 5.77 m/s2, find how much time elapses between a moment of maximum speed and the next moment of maximum acceleration.
(Answer should be in seconds)
Hint: What fraction of a period is the time between the maximum speed and acceleration? How are the maximum speed and acceleration related to the period of oscillation?
The time that elapses between a moment of maximum speed and the next moment of maximum acceleration is called half-period.
The relationship between the period of oscillation, T, and the angular frequency, ω, is given by the equation:
T = 2π / ω
The angular frequency, in turn, is related to the acceleration, a, by the equation:
ω = √(a/x)
where x is the amplitude of oscillation.
Since we know the maximum acceleration, we can find the angular frequency:
ω = √(5.77 m/s^2 / x)
And since we know the angular frequency, we can find the period:
T = 2π / ω
We know that half of the period is the time that elapses between a moment of maximum speed and the next moment of maximum acceleration, so we can find the time between these two moments by dividing the period by 2:
t = T/2
Therefore, the time elapses between a moment of maximum speed and the next moment of maximum acceleration is half a period of oscillation.
“We are observing wasted heat in everyday life for example in Pakistan heavy generated are installed, during their supply of electricity an excessive amount of wasted heat is produced in its surrounding, similarly when we drive a vehicle a heat is available in the surrounding of engine of that vehicle, we can also see many more such examples of wastage of heat. This heat is effecting the environment of Pakistan badly.
Is it conceivable to convert this wasted heat into some useful work/energy/electricity or not. If yes how? If no why
Yes, it is possible to convert wasted heat into useful work, energy, or electricity using a device called a thermoelectric generator (TEG), etc.
What are ways to convert wasted heat into useful work?TEGs work by using the difference in temperature between two sides of the device to generate electricity. This process is known as the Seebeck effect. TEGs have been used to convert the wasted heat from car engines and industrial processes into electricity, for example.
Another way of converting wasted heat into electricity is using Organic Rankine Cycle (ORC) which is similar to the Rankine Cycle used in traditional power plants, but it uses an organic fluid with a lower boiling point. This allows for the use of lower temperature heat sources, such as industrial waste heat or solar thermal energy, to generate electricity.
Additionally, the use of waste heat recovery system (WHRS) can also be used to recover heat from industrial processes, power generation, and other sources, and convert it into electricity.
So yes, it is possible to convert wasted heat into useful energy, and various methods have been developed to do so, it is just a matter of cost-effectiveness and practicality in the specific case of Pakistan.
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Daria, a three-week-old infant, is resting quietly in her crib. Her eyes are open, and she is breathing regularly. She is also looking around but shows little body movement. In this scenario, Daria is in the state of _____.
If Daria's eyes are open, she is breathing regularly, and she is also looking around but shows little body movement, then she is in a state of Alert inactivity.
What is the state of Alert inactivity?Alert inactivity can be defined as the lack of response to an alert or warning due to a variety of reasons, such as being distracted, not understanding the alert, or simply ignoring it, which may be harmful.
Therefore, with this data, we can see that alert inactivity has evidential features we can distinguish in an individual.
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Answer: awakeness but close to light sleep
Explanation:
when the switch is closed, rank the bulbs in order from brightest to dimmest. select all that apply 1. a > b
a > b when the switch is closed, rank the bulbs in order from brightest to dimmest.
What factors influence bulb's brightness?The power of a lightbulb determines its brightness. Because P = I2R, brightness is proportional to current and resistance. The resistance is the same if the bulbs are similar.
They might not, however, feel the same current.
Both bulbs will have the same voltage across them as the battery when connected in parallel. In a series connection, however, the voltage is split between the two bulbs. As a result, the lights linked in parallel will glow brighter.
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Which of the following is not a part of an atom?
Electron
Coulomb
O Proton
Neutron
Answer:
Coulomb
Explanation:
The part of atom are electron, Proton and Neutron
When the ___________ is used too hard or too quickly, weight moves to the rear of the car causing the hood to rise and the rear of the vehicle to drop.O AcceleratorO Understeer
O Oversteer
O Evasive steering
A proton, moving with a velocity of v i
i
^
, collides elastically with another proton that is initially at rest.Assuming that the two protons have equal speeds after the collision, find
the direction of the velocity vectors after the collision.
45 degrees is the same as collision C 1, which is also the same as CO 2 C 2.
What is the direction of the velocity ?The initial velocity of mass is equal to M p, which is equal to we won, which is equal to zero. M P B one F, then. Np VF two sides C two are equivalent to sign C one. Go to sci-fi two and view what has to be seen after society one. Therefore, when we plug in the numbers, we get 0.5 M P V and 0.5 mm PB squares plus we get a square of f. So I'm a square.The third is that. Consequently, the first one used third. Now, by adding the value of, we succeeded. We went by square cause to see what does cause you to, so square root two is equal to cost me with Miss Cassie two is equal to two expensive one. We have everyone equal to that. He desired to go to one via square root, which is why. 45 degrees is the same as C 1, which is also the same as CO 2 C 2. And by using the square root, we have physical to me. The answer to component A of the question is C1, which is 45 degrees.To learn more about initial velocity refer to:
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A car starts from rest and accelerates at a constant rate in a straight line. In the first second the car moves a distance of 2.0 meters. How much additional distance will the car move during the second second of its motion?
Since the car is accelerating at a constant rate, the distance it travels during each second of its motion will be directly proportional to the time it has been accelerating.
In the first second, the car moved a distance of 2 meters, and in the second second, it will move twice the distance of the first second, so the car will move additional distance of 2*2 = 4 meters during the second second of its motion.
The distance traveled during the second second of its motion is 1/2 * 2 = 1 meters.
A car that accelerates at a constant rate will move a distance equal to the initial velocity multiplied by time plus 1/2 the acceleration multiplied by the square of time. Since the car starts from rest, the initial velocity is zero.
Therefore, the distance traveled during the second second is 1/2 * acceleration [tex]* (time)^2 = 1/2 * a * t^2 = 1/2 * a * 1^2 = 1/2 * a[/tex] Since the car moved 2.0 meters in the first second, it means the acceleration is[tex]2m/s^2[/tex], and the distance traveled during the second second is 1/2 * 2 = 1 meters.
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in a coal-fired electrical generating plant, coal is burned to heat water, which creates steam. the next step in this process is which of the following?
Coal-fired power plants generate electricity by burning coal in a boiler to create steam. The steam that is created enters a turbine, which spins a generator to produce electricity, under extremely high pressure. In this case, option A is correct
What type of energy results from burning coal to heat water into steam?
The hydrocarbon molecules in coal serve to store chemical energy. The burning of coal transforms this chemical energy into heat. Heat) Steam is produced by the combustion reaction and is transported through pipes at high pressures and speeds.
What is the name of the procedure for burning coal?
The process of combustion, in which heat is produced to create steam that powers turbines to produce electricity, is the most common and crucial use of coal.
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In a coal-fired electrical generating plant, coal is burned to heat water, which creates steam. the next step in this process is which of the following?
High PressureLow PressureHeatTemperaturein a certain factory, assume that the number of workers is constant. the number of minutes n that it takes to make a single unit of a product and the number of units u of the product that are made per day satisfy the relationship u
As the number of minutes it takes to make a single unit of the product decreases, the number of units of the product that are made per day increases.
What is the relationship between the number of minutes it takes to make a single unit of a product?The number of units of the product that are made per day is inversely proportional to the number of minutes it takes to make a single unit of the product.As the number of minutes it takes to make a single unit of the product increases, the number of units of the product that are made per day decreases.Conversely, as the number of minutes it takes to make a single unit of the product decreases, the number of units of the product that are made per day increases.The constant 1440 represents the total number of minutes in a day, which is used to convert the minutes to units per day.Since the number of workers is constant, it can be assumed that the productivity of the factory is directly proportional to the number of units produced per day.The relationship between the number of minutes (n) it takes to make a single unit of a product and the number of units (u) of the product that are made per day is given as u = 1440/n.As the number of minutes it takes to make a single unit of the product increases, the number of units of the product that are made per day decreases.As the number of minutes it takes to make a single unit of the product decreases, the number of units of the product that are made per day increases.The constant 1440 represents the total number of minutes in a day, which is used to convert the minutes to units per day.The productivity of the factory is directly proportional to the number of units produced per day.To learn more about single unit of product refer:
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If the boat is going upstream against a current that has a force of 250 N against the motion of the boat, find the acceleration of the boat if there is a forward force of 360 N from the fan. (Remember that the mass of the boat is 220 kg.)
The acceleration of the boat if there is a forward force of 360 N from the fan is calculated as : 0.05 m/s^2.
What is Newton's second law of motion?Newton's second law of motion states that net force acting on object is equal to mass of the object multiplied by acceleration. Net force acting on the boat is sum of the force from the fan and the force of the current against the motion of the boat.
As, Net force = ma
Given, m is the mass of the boat (220 kg)
Net force = ma = (360 N) - (250 N) = 110 N
a = Net force/m = 110 N/ 220 kg = 0.05 m/s^2
So, acceleration of the boat is 0.05 m/s^2
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A pendulum bob is released from some ini-
tial height such that the speed of the bob at
the bottom of the swing is 3.0 m/s.
The acceleration of gravity is 9.81 m/s².
What is the initial height of the bob?
A bob is the mass on the end of a pendulum found most commonly, but not exclusively, in pendulum clocks.
What is a bob on a pendulum?
A basic pendulum consists of a light, flexible, inextensible thread with a heavy but tiny item, known as a "bob," at one end. Graph: Pendulum clocks employ it. It's used to calculate the acceleration caused by gravity.
Clock pendulums are typically composed of a weight or bob attached to the bottom end of a rod, with the top linked to a pivot so it can swing, despite the fact that a pendulum's shape or any rigid item hanging on a pivot is theoretically possible.
The benefit of this design is that it places the centre of mass farthest from the pivot, nearer to the actual end of the pendulum. This reduces the length of the pendulum needed for a specific period and increases moment of inertia.
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A coin rests on a book. The book is tilted until the coin just starts to slide. The angle at which the coin starts to slide is 30 degree. What is the coefficient of static friction between the coin and the book?
The coefficient of static friction between the book and the coin is the tangent of the angle of inclination. Hence, the coefficient is 6.4.
What is static friction ?Friction is the resistive force acting on an object. Static friction is the opposing force acting on a stationary object. It is always negative. The coefficient of friction is the ratio of frictional force to the normal force.
Here, the angle of inclination θ = 30°
The normal force acting in the x direction of the coin = Fx = Mg Sinθ
normal fore from y direction is = Fy = Mg cosθ
Now, frictional force Fs = μ Fx = Fy
then μ cos θ = sin θ.
Then, the coefficient of static friction μ = sin θ/cos θ
μ = tan 30 = 6.4 .
Therefore, the coefficient of static friction between the book and the coin is 6.4.
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Newton horizontal force is exerted upon a 3.1-kg box to move it across a level surface at a constant velocity of 1.4 m/s. The force of friction encountered by the box is Newton. O 47 O 105 O 4.84 O 147
Newton horizontal force is exerted upon a 3.1-kg box to move it across a level surface at a constant velocity of 1.4 m/s. The force of friction encountered by the box is 4.84N.
Explain force of friction?
Friction is a force that resists the movement of two objects that are in contact with each other. Friction is a force that can be beneficial or detrimental depending on the situation.
In most cases, friction is beneficial because it allows us to move and use things more easily. For example, friction allows us to walk on a surface without slipping, and it also helps us grip objects.Without friction, we would be unable to perform actions like writing or holding a cup of coffee.When two surfaces come into contact, friction is produced. The amount of friction between two surfaces is determined by the type of surface, the amount of force applied, and the amount of contact between the two surfaces.The rougher the surface, the more friction will be generated. The more force applied, the stronger the friction will be. Finally, the larger the area of contact between the two surfaces, the greater the friction will be.Friction can be beneficial or detrimental, depending on the situation. In some cases, friction can be beneficial and help us move and use things more easily.In other cases, it can be detrimental and cause unwanted resistance. It is important to consider the effects of friction when designing objects and performing activities.Now,
F = ma
F = 3.1 kg * 1.4 m/s^2
F = 4.84 N
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scattering find the direction of the reflected and transmitted beam and probabilites of reflection and transmission
In Scattering phenomenon, can apply Snell's Law to find direction and use concept of refraction index and angle of incidence to find probabilities.
Scattering refers to the phenomenon where a beam of particles or waves encounters an obstacle and is redirected in different directions. The direction of the reflected and transmitted beams, as well as the probabilities of reflection and transmission, depend on the properties of the obstacle and the incident beam.
When a beam of particles or waves encounters an obstacle, it can be reflected, transmitted, or absorbed by the obstacle. The probability of reflection is given by the reflectivity of the obstacle, which depends on the properties of the incident beam and the obstacle. The probability of transmission is given by the transmissivity of the obstacle, which also depends on the properties of the incident beam and the obstacle.
The direction of the reflected beam is determined by the law of reflection, which states that the angle of incidence is equal to the angle of reflection. The direction of the transmitted beam depends on the refractive index of the material the obstacle is made of, and the angle of incidence.
For a beam of waves, the probability of reflection and transmission can be determined by the reflectivity and transmissivity of the obstacle, which are related to the indices of refraction of the two media and the angle of incidence. The direction of the reflected and transmitted beams can be found by applying Snell's law, which relates the angle of incidence and the angle of refraction to the indices of refraction of the two media.
In summary, the direction of the reflected and transmitted beams and the probabilities of reflection and transmission depend on the properties of the incident beam and the obstacle, and can be determined using the laws of reflection and refraction.
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a folding tray mechanism is attached to a wall as shown. the assembly has the dimensions given above. when a force of f
The internal force is -128.06N and the bending moment is -96.67N.m.
ΔDAB/tan∝= a+l/k1+k2=21+28/22+20
∝=49.39
ΔDEH
cos(90-∝)=DH/DE
sin49.3=21/DE
DE=27.65
tan∝=EI/ID
tan49.3=21/ID
ID=18
cos∝=h1+h2/BD
BD=64.53
GI=h1-ID=22-18=4
tanβ=IG/IE=4/21
β=10.7
Fx=Rxsin∝=Rycos∝-Tcos∝-196.7cos∝=0--------------i
Fy=-Rxcos∝+Rysin∝+Tsinβ-196.7sin∝=0---------------ii
and
-Tsinβ27.65/100+196.78sin∝64.53/100+68.67=0
T=3197.35N
Solving equation i and ii we find that
Rx=2774.64N
Ry=1786.66N
A=-Rxsin∝-Rycos∝+Tcosβ
=-128.06
M=-(Rxcos∝)xx+(Rysin∝)x+Tsinβ(x-27.65)
=-96.67N.m
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Complete question should be:
A folding tray mechanism is attached to a wall. Find the internal force and bending moment. When the force F=185N is applied at an angle of 15 degree.
If a two-body collision is not head-on, then which of the following is always true?
a. Momentum is conserved,
b. Kinetic Energy is conserved,
c. Neither a nor b is true,
d. That a is true and b is not true,
e. That b is true and a is not true.
Momentum is always conserved when two separate objects collide. Only elastic collisions preserve kinetic energy.
Momentum is never preserved when two bodies meet, correct?Momentum is conserved for any collision in an isolated system. Before and after the collision, the collection of items in the system had an equal amount of total momentum.
Which of the following summaries best describes the collision theory?According to the collision theory, for a reaction to take place, there must be interactions between different molecules. It's not necessary for every molecular collisions to result in a product. Only when the chemical reactions have energy over the threshold energy will the product develop.
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