Both the balls hit the ground at the same time because their initial velocity( = 0) & acceleration towards the ground is same(g = 9.8m/s²)
What is acceleration?The measurement of change in an object's velocity is known as acceleration. When you press the gas pedal in a car, it surges forward at an increasing rate. Acceleration is the change in velocity.
The formula for calculating acceleration is as follows:
Acceleration = (Velocity Change)/ (change in time)
The standard unit of acceleration measurement is metres per second squared (m/s2). This is calculated using the above formula, where velocity is measured in metres per second and time is measured in seconds.
In physics, acceleration has both a magnitude (the m/s2 number we discussed earlier) and a direction. As a result, acceleration is now a vector.
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Complete question:
A physics demo launches a ball horizontally while dropping a second ball vertically at exactly the same time. [Delayed Feedback] 1) Which ball hits the ground first?
What is Newton's 3 law formula?.
The formula of Newton's third law is given by T = m g, where T is tension, m is mass, g is acceleration due to gravity. It is given by the statement, every action has equal and opposite reaction.
Every time one body exerts force on another, the receiving body experiences an opposing force that is both equal to and greater than the applied force.
If object A exerts a force on object B, then object B is required to exert an equal and opposite force on object A.
Some of the examples are bouncing a ball, firing a gun, sitting on a chair, movement of a rocket, etc.
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What do you mean by lever arm?.
Lever arm, noun (plural lever arms (physics) the separation between the axis and the force application point.
How might a lever arm look like?What else do we mean by a lever arm image,
Class 3 levers include bent arms. Elbow serves as the pivot, and the forearm serves as that of the lever arm. The forearm is bent by the biceps muscle against the gravity of the wrist and any load that the hand may be holding.
The lateral force of a beams is what?In a segment of reinforced concrete, the lever arm is the distance between the couple's lines of action that provide compressive and tensile force.
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Two tiny conducting spheres are identical and carry charges of -20.0 °C and +50.0 °C. They are separated by a distance of 2.50 cm. (a) What is the magnitude of the force that each sphere experiences, and is the force attractive or repulsive? (b) The spheres are brought into contact and then separated to a distance of 2.50 cm. Determine the magnitude of the force that each sphere now experiences, and state whether the force is attractive or repulsive.
The magnitude of the force that each sphere before contact and after contact are 1.438 x 10^16 N and 3.23 x 10^ 15 N respectively.
What is the implementation of Coulomb's law for charges at two points?According to Coulomb's law, the force of attraction or repulsion between two charged substances is inversely proportional to the square of the distance between them and directly proportional to the product of their charges. It operates along the track that unites the two charges, that are conceived of as point charges.
Q1 => -20.0 C
Q2 => +50.0 C
Distance d => 2.5cm => 0.025m
a) F= k x Q1 Q2/d2
=> 8.99 x 10^9 N.m^2/C^2 x 20 x 50/(0.025)^2
=>1.438 x 10^16 N
The force is attractive since the charges have opposite signs.
b) The charge on each sphere after contact:
=> Q= Q1 + Q2/2 => -20 + 50/2 => +15 C
Magnitude of force => F = k x Q^2/d2
=> 8.99 x 10^9 x 15^2/(0.025)^2
=> 3.23 x 10^ 15 N.
What do point charges mean?a charge of electricity that is considered to originate at a single location and so has neither area nor volume.
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What unit should be used for the lever arm moment of force?.
Because moment of force (bending moment) and torque are equal to a force times a rotation distance (moment arm or lever arm), their SI unit is N*m.
A lever arm time is defined?The distance between the force's line of action and the centre of moments, also known as the second arm or lever arm, is perpendicular. Moment: M = (F) = Force x Length (d) The exact location in which the force induces rotation may be the Center of Moments.
The fundamental lever equation is what?image outcome
Levers are devices that allow for the application of a small force over a longer distance at one end while applying a high force over a shorter distance at the other.
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can you draw a gaussian surface that offers a simple way to compute the electric field surrounding a charged dipole?
Yes, it is possible to draw a Gaussian surface to compute the electric field around a charged dipole.
To do so, draw a closed surface that encloses the charges of the dipole and apply Gauss' Law. This will allow you to calculate the electric field at any point on the surface.
The Gaussian surface should be chosen so that it encloses both charges from the dipole, and should be large enough to ensure that the electric field is uniform across the surface. The electric field can then be calculated by using Gauss' Law, which states that the total electric flux through the surface must be equal to the charge enclosed by the surface divided by the permittivity of free space.
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A car travels 258 miles in 312 minutes at a constant speed. How far did the car travel in 5 minutes?.
The car will travel around 4.13 miles in 5 minutes
Explain distance.
The term "distance" refers to the size or magnitude of the difference between two positions. The distance between two positions and the distance traveled between them are not the same thing, it should be noted. The distance traveled is the total length of a path that connects two points.
The speed will be: Given that the car travels at a constant speed, 258 miles are covered in 312 minutes,
Distance/Time x Speed
Speed = 258/312
Speed = 0.827
The distance, d, that the car travels in m minutes will therefore be represented by the following equation:
Distance equals 0.827 x 5.
= 4.135 miles away
= about 4.13 miles in 5 minutes
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T/F Type SE service-entrance cable shall be permitted where the insulated conductors are used for circuit wiring and the uninsulated conductor is used only for equipment grounding purposes.
SE service-entrance cable shall be permitted where the insulated conductors are used for circuit wiring and the uninsulated conductor is used only for equipment grounding purposes is true.
What is conductor?A conductor is a material or device that allows electricity to flow freely through it. It is typically a highly conductive material such as copper, aluminum or silver. Conductors are essential components of most electrical circuits and devices, and serve to connect different parts of an electrical system. As electricity flows through a conductor, it encounters resistance, which is the opposition to the flow of electricity through the material. The amount of resistance in a conductor depends on the material it is made of, its length, and its cross-sectional area.
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It takes gretchen 275 seconds to travel 5 500 meters in her car. What is her rate of speed in kilometers per hour?.
Answer : Gretchen's rate of speed is 72.5 kilometers per hour.
What is the distance?
-- Distance is defined as the product of speed and time.
-- Since there are 3600 seconds in an hour, we can divide the time it takes -- Gretchen to travel 5500 meters by 3600 to find the number of hours it takes her:
⇒ 275 seconds / 3600 seconds/hour = 0.0763888889 hours.
Next, we need to convert the distance she travels to kilometers.
-- Since there are 1000 meters in a kilometer, we can divide the distance Gretchen travels by 1000 to find the number of kilometers she travels:
⇒ 5500 meters / 1000 meters/kilometer = 5.5 kilometers.
Now that we have the distance Gretchen travels and the time it takes her to travel that distance in the appropriate units, we can divide the distance by the time to find her rate of speed in kilometers per hour:
⇒ 5.5 kilometers / 0.0763888889 hours = 72.5 kilometers/hour.
Thus, Gretchen's rate of speed is 72.5 kilometers per hour.
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if you are measuring the electrical potential difference from a rectangular 9v battery, which setting should you choose for the multimeter?
If you are measuring the electrical potential difference from a rectangular 9v battery, you would choose a DC setting.
The correct setting to measure the electrical potential difference from a rectangular 9v battery is the DC volts setting on a multimeter.
This is because the battery produces Direct Current (DC) voltage, which is measured in volts (V).
When using the multimeter, you should ensure that the negative and positive leads are connected to the correct terminals on the battery, and that the multimeter is set to the correct voltage range.
This will ensure accurate readings from the battery.
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What is the best way to solve equation?.
To solve systems of equations, three approaches are used: graphing, substitution, as well as elimination.
To solve systems of equations, three approaches are used: graphing, substitution, as well as elimination. Manually graph the provided equations and discover the point(s) that they all cross to solve a system. The coordinate of just this point will provide you with the values for exact variables you are attempting to solve for.
There are four methods for resolving one-step equations: adding, subtracting, multiplying, and dividing. Both sides of either equation will remain equal if simply add the same integer to both sides. Both sides of either equation would remain equal when we deduct the same integer from both sides.
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Avan of ma1200kg wa moving at a velocity oc 8m/ whenit wa involved in a head on colliion with alorry moving in oppoite direction. Auming that the van top after colliion ? what i momentum after colliion and what i change momentum
The momentum of the van after the collision will be -9600 kg m/s.
What is momentum?Momentum is a concept in physics that is used to describe an object's resistance to changes in motion. It is based on the principle of inertia, which states that an object will remain in a state of rest or constant motion unless acted upon by an outside force. Momentum is calculated by multiplying the mass of an object by its velocity. Momentum is a vector quantity, meaning that it has both magnitude and direction. Momentum is also conserved, meaning that the total momentum of any closed system remains constant.
Momentum is a measure of an object's mass multiplied by its velocity. Before the collision, the momentum of the van was 9600 kg m/s (1200 kg x 8 m/s). After the collision, both vehicles will be travelling in the opposite direction, meaning that the momentum of the van will be the same as before, but in the opposite direction. Therefore, the momentum of the van after the collision will be -9600 kg m/s. The change in momentum, or delta momentum, of the van after the collision is the difference between the before and after momentum, or 9600 kg m/s.
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Whole grains, like oats, barley, and wheat, are good sources of the b-complex vitamins. These foods are also considered very good sources of energy. Why would whole grains be good sources of energy?.
Whole grains, like oats, barley, and wheat, are good sources of the b-complex vitamins. These foods are also considered very good sources of energy, would whole grains be good sources of energy they are rich in complex carbohydrates which can be broken down for energy, and their B-complex vitamins are involved in metabolic processes that release this energy.
What is carbohydrates?A substance is a good source of energy if it is rich in complex carbohydrates.
Carbohydrate rich food substances that produce energy when broken down.They are the main stay for power in the body.Vitamin B-complex helps in carbohydrate metabolism.Deficiency of this vitamin hinders the rate at which metabolism of carbohydrate occurs.Therefore, the listed grains are good sources of energy.To know more about B-complex vitamins refer to:
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The complete question is as follows:
Whole gratis heats, barley, and wheat, are good sources of the B-complex vitamins. These foods are also considered very good sources of energy Why would whole grains be good sources of energy?
A They are rich in fats which are broken down and stored in the body through processes that require B-complex vitamins,
B They are rich in complex carbohydrates which provide energy, and their B-complex vitamins are important for transporting
these carbohydrates to cells that need energy
C They are rich in fats which can only be transported to energy producing cells with the help of B-complex vitamins
D They are rich in complex carbohydrates which can be broken down for energy, and their B-complex vitamins are involved in metabolic processes that release this energy
The star Betelgeuse is about 600 light-years away. If it explodes tonight, approximately when can it be observed?
The star Betelgeuse is about 600 light-years away. If it explodes tonight, approximately: we won't know about it until 600 years from now.
What is light-years?Rather than measuring time, a light-year measures distance (as the name might imply). The distance a light beam travels in a single Earth year is measured in "light-years," which is roughly equivalent to 6 trillion miles (9.7 trillion kilometers).
Because the cosmos is expanding, the light that goes the farthest is stretched the most, resulting in the object that emitted that light being farther away. The expanding cosmos is the reason we can see things up to 46.1 billion light-years away. According to a common model of the Universe, some of the most recently discovered objects may be more than 13 billion light years away.
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Analyze the formula FG = mg to explain how an object's weight can change even when its 'mass remains constant.
The formula FG = mg relates an object's weight (FG) to its mass (m) and the acceleration due to gravity (g). The weight of an object is the force exerted on it by gravity and is measured in newtons (N). The mass of an object is a measure of its inertia, or the amount of matter it contains, and is measured in kilograms (kg). The acceleration due to gravity is a constant value that is approximately 9.8 m/s^2 on the surface of the Earth.
According to the formula, the weight of an object is directly proportional to its mass and the acceleration due to gravity. Therefore, if the mass of an object remains constant, any changes in its weight can only be caused by changes in the acceleration due to gravity.
For example, an object weighs 10 N on the surface of the Earth, but if you take it to a planet where the acceleration due to gravity is less, the weight of the object will decrease, even though its mass remains the same. The same applies to the opposite, If you take the same object to a planet where the acceleration due to gravity is higher, the weight of the object will increase, even though its mass remains the same.
In summary, the formula FG = mg shows that an object's weight is directly proportional to its mass and the acceleration due to gravity. If an object's mass remains constant, any changes in its weight can only be caused by changes in the acceleration due to gravity.
What is the unit of momentum Mcq?.
kg ms-1 is the Si derived unit for momentum. The external force net is equal to the shift in momentum of a, according to Newton's second motion law in terms of momentum.
What is the momentum unit?Momentum is a vector number since it has both direction and magnitude. Newton seconds, abbreviated N s, or kg m s 1 are the units of momentum. To differentiate it from rotational momentum, this is frequently referred to it as linear momentum.
A Newton? The momentum unit in the SI?Therefor, the Newton-second can also be used as the SI unit by momentum in physics (Ns). In the CGS system, an object's mass is calculated in grams, and its velocity is calculated in centimeters per second. Consequently, the momentum unit.
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A stone is thrown horizontally from the top of a 31.2 m tall cliff. The stone lands at a distance
of 21.4 m from the edge of the cliff. What is the initial horizontal velocity of the stone?
The projectiles launch allows to find the answer for the initial velocity of the stone is: v = 8.49 m / s
What is meant by velocity?The directional speed of an item in motion, as measured by a specific unit of time and viewed from a certain point of reference, is what is referred to as velocity.The displacement that an object or particle experiences with respect to time is expressed vectorially as velocity. The metre per second (m/s) is the accepted unit of velocity magnitude (also known as speed).The vector quantity velocity (v), denoted by the equation v = s/t, quantifies displacement (or change in position, s), over change in time (t).Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route. In other words, velocity is a vector, whereas speed is a scalar number.Given data :
In this case the stone is thrown horizontally, therefore its initial vertical speed is zero, let's find the time it takes to reach the base of the cliff
y = y₀ + [tex]v_{oy}[/tex] t - ½ g t²
where y and y₀ are the current and initial position, is the initial vertical velocity, g the acceleration of gravity and t the time
When reaching the bottom its height is zero (y = 0) and the highest part its initial height is y₀ = 31.2 m
0 = y₀ + 0 - ½ g t²
t = [tex]\sqrt{\frac{2yo}{g} }[/tex]
Let's calculate
t = [tex]\sqrt{\frac{2*31.2}{9.8} }[/tex]
t = 2.52 s
They indicate that the stone fell at a horizontal distance of 21.4 m,
x = [tex]v_{ox}[/tex]t
= v_{ox} = x / t
v_{ox} = 21.4 / 2.52
= 8.49 m/s
In conclusion, using the projectiles launch we can find the answer for the initial velocity of the stone is:
v = 8.49 m/s
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a trolley A of mass 2kg at 5 meter per second collide with a stationary trolley B of mass 3kg after the collision the two travel together at 2 meter per second find (a) what is the momentum of A before the collision (b) what is the momentum of A after the collision (c) what is the kinetic energy of A before collision (d) what is the kinetic energy of each trolley after collision (e) during the collision A kinetic energy gained by B is less than the kinetic energy gained by A, how much kinetic energy is un accounted for?
a) The momentum of trolley A before the collision is (2 kg) * (5 m/s) = 10 kg*m/s.
b) The momentum of trolley A after the collision is (2 kg) * (2 m/s) = 4 kg*m/s.
c) The kinetic energy of trolley A before the collision is 1/2 * (2 kg) * (5 m/s)^2 = 25 J.
d) The kinetic energy of trolley A after the collision is 1/2 * (2 kg) * (2 m/s)^2 = 2 J. And the kinetic energy of trolley B after the collision is 1/2 * (3 kg) * (2 m/s)^2 = 3 J.
e) The amount of kinetic energy that is unaccounted for is the difference between the initial kinetic energy of trolley A and the final kinetic energy of trolley A and trolley B. This is 25J - (2J + 3J) = 20 J.
It's important to note that the total momentum of the system is conserved during the collision, meaning that the momentum of trolley A before the collision is equal to the total momentum of trolley A and B after the collision. Also the total kinetic energy of the system is not conserved during the collision as some of the energy is transferred to internal energy of the system and other forms of energy.
what events generate the p wave, qrs complex, and t wave?
The P wave results from atrial depolarization. The QRS complex is a result of ventricular depolarization and indicates the start of ventricular contraction. signals the beginning of ventricular relaxation.
What does a neuron depolarize?The opening of sodium channels within in the plasma membrane of neurons causes depolarization, a rapid rise in potential that is an all-or-nothing event. The opening of sodium potassium channels is what causes the subsequent repolarization, or return to resting potential.
What takes place during depolarization?Its gated sodium ion channel on the neuron's membrane quickly open during in the depolarization phase, letting sodium ions (Na+) from the outside flood inside the cell. The nerve's intrinsic charge drops from -70 mV towards -55 mV when the sodium ions enter the cell fast.
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help!!!Which of the following are examples of resource depletion that can occur due to technology?
a.People use cell phones when driving, leading to more car collisions.
b.A new battery is developed, requiring the mining of non-renewable metals.
c.Landfills can release certain hazardous chemicals into the soil and water.
d.Certain chemicals are released into the air by cars, leading to acid rain.
Answer:
b.A new battery is developed, requiring the mining of non-renewable metals.
Option B. A new battery is developed, requiring the ,mining of non -renewable metals is the example of resource depletion due to technology.
when the consumption of non renewable and renewable resources for energy, electronic goods, industry good etc purposes. At a fast pace where these resources doesn't get enough time to replenished.
New battery is developed at faster pace and the raw material obtained for the production by mining of earths core. Natural resources are depleted as not enough time is given to earth to make new one.
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What is formula for momentum Mcq?.
Mass times velocity equals momentum. Consequently, if two items have the same velocity, a lighter one will move at a faster rate
p = mv
p =momentum, m =mass, v =velocity
In the actual world, what is momentum?Almost every action that involves motion has momentum. It is an important tenet of physics. In athletics, the term "momentum" is frequently used. For instance, if a team is moving forward and trying to stop, it will be difficult.
How do you define momentum?singular nouns Momenta, plural for momentums. force or rate of motion; impulse, as of a tangible thing or sequence of events: Going downward, the automobile picked up speed.
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Which of the following has the highest energy?
1) light with a long wavelength
2) light with an intermediate wavelength
3) light with a short wavelength
4) it is impossible to tell with the given information
The highest energy is the light with a short wavelength. Red has the least value since it has the shorter wavelengths of all visible light. Violet light has the shortest wavelength of all visible light, giving it the most energy. The longest wavelength and lowest energy are found in radio waves.
What will happen to 4G phones when 5G comes?.
The functionality of 4G devices will not change. While they invest in the rollout of 5G, mobile companies are expected to keep existing 4G network operational.
Your smartphone could be a 3G device if it is older than a few years.To find out if your cell operator intends to phase down its 3G services, check with them.
With the introduction of fifth generation, or "5G," technology, cellular network are getting an upgrade. Consumers may anticipate new apps and enhanced user experiences, just as in prior generations.
Beyond mobile phones, significant improvements in connection made possible by 5G could enable applications such as telemedicine and aiding local communities in managing resources like traffic lights and water supply. A increasing number of connected devices will be supported by 5G, which is anticipated to boost the effectiveness and quality of all the goods and services that customers already use and enjoy. Other possible uses include self-driving automobiles, virtual reality, and augmented reality. Find out more about what to anticipate once 5G arrives:
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a body of mass 150 g thrown vertically upwards from the ground of velocity 15 m per second at a height of 40 m the initial kinetic energy of the body is?
The initial kinetic energy of the body is 16.875 kg m² / s²
What is Kinetic Energy?The equation for kinetic energy states that it is the product of the magnitude of the velocity squared, or speed squared, and 1/2 the mass of the item. It is defined as the effort required to accelerate a mass-determined body from rest to the specified velocity.
Examples showing how kinetic energy is changed into and out of different forms of energy may help people better understand kinetic energy.
Calculate the initial kinetic energy of the body -
Conserving he energy, we get
Kinetic energy = 1/2 × m × v²
M = 150g = 0.150 kg
v = 15m/s
⇒K. E = 1/2 × 0.150 × 15²
⇒ K.E. = 16.875 kg m² / s²
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What unit is torque calculated?.
Answer:
The SI unit for torque is the Newton-meter. In imperial units, the Foot-pound is often used.
Explanation:
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What is kinetic energy Mcq?.
The energy a thing has when it is moving is known as kinetic energy. Kinetic energy is calculated using the following formula: K.E. m = particle mass and v = velocity.
We can see from the following formula that kinetic energy depends on mass and velocity. The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force.
After the work is finished, energy is transferred to the item, which then moves at a new, constant speed. A particle or an item that is in motion has a sort of energy called kinetic energy. If energy is transferred via work.
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Correct Question:
What is kinetic energy ?.
When unraveling the unit circle, the sine function creates a relationship between the.
The sine function establishes a connection between the vertical distance and y-axis when the unit circle is unraveled.
How are a sine wave and a circle connected?
We can visualize the sine wave's shape by rotating a line in a circle. The vertical distance between the circle's center and the line's end serves as our gauge for the sine wave's amplitude. The speed at which the line is spinning determines the frequency of the sine wave that results.The relationship between the x- and y-axes is established by the cosine function. The sine and cosine functions can be applied to any set of real numbers. These distances are computed using the vertical distance ratio.To learn more about the sine function, go to:
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you push two identical bricks across a tabletop with constant speed. in case 1, you place the bricks end to end; in case 2, you stack the bricks on top of the other. (a) is the force of kinetic friction in case 1 greater, less, or equal to the force of kinetic friction in case 2? (b) explain why.
(a) the force of kinetic friction in case 1 is equal to the force of kinetic friction in case 2. (b) because the normal force is the same in the two cases, and friction is independent of surface area.
How does kinetic and static friction differ?Kinetic and Static Friction The friction that exists between two systems when they are in touch and immobile with respect to one another is concerning as static friction. Kinetic friction is friction that occurs when two systems are in contact and moving about one another.
What factors affect kinetic friction?There are just two variables that affect the kinetic friction force acting on a moving object: the normal force and the coefficient of friction between the two surfaces.
Is kinetic friction consistently favorable?Motion is constantly resisted by kinetic friction. As a result, it always behaves in the opposite direction of motion and is therefore negative with regard to the surface.
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600 joules of work is used to lift a box from the ground to a height of six meters.
The work that would have been done if a lever with a 12 metre effort arm and a 6 metre load arm had been used is 50 J. As a result, option A is the correct answer.
What is the work done by the lever?A lever is a simple machine that facilitates and accelerates work. When a lever is used, a small amount of effort is required to overcome a large load.
When the output force exceeds the input force, the machine's efficiency increases.
The formula for calculating a machine's efficiency is
Eff = (output force / input force) x 100%.
The output force is calculated as
F (out) = load x distance moved by load.
The input force is calculated as
F (input) = effort x distance moved by effort.
The work that would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters is calculated as;
work = ( 600 × 6 ) / ( 12 x 6 )
work = 50 J
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Complete question:
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load
arm of 6 meters? († point)
O 50 J
O 100 J
O 600 J
0 72 J
a form of energy conversion that captures heat energy from within Earth
Geothermal energy is heat that occurs deep within the earth. Geothermal energy is a clean, renewable resource that can be used for heat and electricity.
Humans can harvest geothermal energy in the following ways. A geothermal power plant uses heat from deep underground to generate steam and generate electricity. Geothermal heat pumps use heat from near the surface to heat water or heat buildings. Geothermal power plants uses the steam to generate electricity. The steam comes from reservoirs of hot water several miles or more underground. The steam spins turbines and drives generators to generate electricity. These are the features of geothermal energy within the earth.
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determine the magnitude and coordinate direction angles of the resultant force
It's important to have a clear understanding of vector sum and trigonometry concepts to be able to determine the magnitude and coordinate direction angles of the resultant force.
The vector sum can be found by adding the vectors head-to-tail, which means that the tail of one vector is placed at the head of the next vector. The vector sum is known as the Resultant force.
To find the magnitude of the resultant force, we use the Pythagorean theorem, which states that the magnitude of the vector is equal to the square root of the sum of the squares of the vector's components. In other words,
|R| = √(Fx^2 + Fy^2 + Fz^2)
To find the direction angles of the resultant force, we use the trigonometric functions. The coordinate direction angles are the angles between the positive x, y, and z-axes and the projection of vector onto the xy, yz, and xz planes.
The angle with the x-axis is arctan(Fy/Fx)
The angle with the y-axis is arctan(Fz/Fx)
The angle with the z-axis is arctan(Fz/Fy)
It's worth noting that these angles are measured in a counterclockwise direction and that these angles are not unique, you can add or subtract multiples of 360° to get the same vector.
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