what is the magnitude, in meters per squared second, of the car's average acceleration during the given time period.

Answers

Answer 1

1.573 m/s² is the magnitude, in meters per squared second, of the car's average acceleration during the given time period.

Using given numerical values:

a_avg = ((v₁x - v₀x)/ Delta t) i + (v₁y/ Delta t) j

a_avg = (37 - 39)/2.9 i + 4.1/2.9 j

a_avg = -0.690 i + 1.414 j

Magnitude of average acceleration will be:

|a_avg| = √ ((-0.690)² + 1.414²)

|a_avg| = 1.573 m/s²

The greatest size and direction of an item are referred to as the object's magnitude in physics. Vector and scalar values both employ magnitude as a common denominator. Scalar quantities are understood to be those that have only magnitude, according to their definition. Vector quantities, on the other hand, are those that have both magnitude and direction.

Magnitude may be used in a number of different contexts. To name a few of them:

seismic event's strength

Dimension of an electron's charge

force's magnitude

Distance in magnitude

the gravitational force's strength.

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The complete question is:

Give a vector expression for the average acceleration of the car during the given time period in terms of the variables in the problem and

unit vectors i and j.

a_ave = (V₀x + V₁x) i + (V₁y) j/Δt

Part (b) What is the magnitude of the car's acceleration during the time period in question, in m/s²?


Related Questions

21. What hazards do you see in the scene below? Which zones are open? What would you do to avoid the hazards?

Answers

The answers include the following:

The hazards which one can see in the scene below is the possibility of another vehicle stopping in front or colliding with the other.The open zone is on the left lane.The things which can be dome to prevent is not to over speed.

What are Hazards?

This is referred to as any source of potential damage, harm or adverse health effects on something or someone.

In the diagram given, we can see a car coming from behind and one in front which wants to enter the lane which makes them potential hazards as collision may occur which is why overspeeding shouldn't be encouraged to reduce the effect of anything happens.

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the sun, on average, is 93 million miles from earth. how many meters is this? express (a) using powers of 10, and (b) using a metric prefix (km).

Answers

Answer:

1 km = .6214 mi

9.3E7 mi / .621 mi/km = 1.50E8 km

S = 1.5 * 10^8 km * 10^3 m / km = 1.5 * 10^11 meters

S = 1.5 * 10^11 meters

jeremiah is on location shooting a king cobra snake that is extremely venomous, meaning that he absolutely cannot get too close. however, he really wants to show as much detail as possible. what type of lens might be helpful for jeremiah to use on this shoot?

Answers

A zoom lens is an SLR or DSLR lens that offers a different focal length for the photographer to select from.)

What is the range of zoom lens?

Standard zoom lenses usually have middle focal length of around 50mm (35mm film equivalent) and cover a range that includes wide-angle and a telephoto range of around 70mm to 100mm. Superzoom lenses cover an even wider range, from wide-angle up to as much as 300mm.

What is a good zoom lens size?

The longer the focal length, the closer you can zoom in on a distant subject. Many entry-level DSLRs come with an 18-55mm lens in the package, which is a good choice as a general-use lens. For more zoom power, you'll need a telephoto lens, which typically falls within the 55-300mm range.

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when the tr and tc curves have the same slope,

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(Slope of Revenue curve = Slope of Cost curve). FOC says TR and TC must have the same slopes. That is, MR = MC (Marginal Revenue equals Marginal Cost).

Hope this helps have an excellent day!

When the TR and TC curves have the same slope, the firm is operating at its profit-maximizing output level, which allows the firm to earn the highest possible economic profit.

In microeconomics, the Total Revenue (TR) and Total Cost (TC) curves are important tools for understanding the behavior of firms in a competitive market. When the TR and TC curves have the same slope, the firm is said to be operating at its profit-maximizing output level. In this scenario, the firm earns the highest possible economic profit, which is the difference between total revenue and total cost.

To understand why the profit-maximizing output occurs when TR and TC curves have the same slope, we need to consider the following:

Marginal revenue (MR) is the additional revenue earned by a firm for selling one more unit of output. MR is equal to the slope of the TR curve.

Marginal cost (MC) is the additional cost incurred by a firm for producing one more unit of output. MC is equal to the slope of the TC curve.

The profit-maximizing output level occurs where MR = MC. At this output level, the additional revenue earned from selling one more unit of output (MR) is equal to the additional cost incurred from producing one more unit of output (MC).

When the TR and TC curves have the same slope, it means that MR = MC. This condition implies that the firm is operating at its profit-maximizing output level. At this output level, the firm earns the highest possible economic profit, which is the difference between total revenue and total cost.

If the slope of the TR curve is greater than the slope of the TC curve, then MR > MC, which means that the firm can increase its profit by producing and selling more output. Conversely, if the slope of the TC curve is greater than the slope of the TR curve, then MR < MC, which means that the firm can increase its profit by producing and selling less output.

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a firefighter is helping the woman shown in the figure below. the woman's weight is 120 lb. what's the tension (in lb) in the rope connecting the woman to the firefighter?

Answers

The tension in the rope is equal to the weight of the woman, which is 120 lb. Since the woman is not accelerating, the forces acting on her must be balanced, meaning the tension in the rope must equal her weight. Therefore, the tension in the rope is 120 lb.

What is tension?

Tension is a state of mental or emotional strain, resulting from opposing forces or influences. It is a feeling of inner strain caused by a clash of emotions, ideas, or beliefs. It can also result from physical causes such as a lack of sleep, worry, physical exertion, and even hunger.

Tension can manifest itself in physical symptoms such as headaches, neck pain, muscle tightness, and fatigue. It can also lead to emotional problems such as anxiety, irritability, and depression. It is important to recognize and address tension in order to maintain good mental and physical health.

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The wavelength of a ray of blue light is 475 nm. If its frequency is x×10^14Hz

what is the value of x?

Answers

The value of the variable in the frequency will be 3.316.

What is the wavelength and frequency of light?

A waveform signal that is carried in space or down a wire has a wavelength, which is the separation between two identical places (adjacent crests) in consecutive cycles. This length is typically defined in wireless systems in meters (m), centimeters (cm), millimeters (mm), or nanometers (nm).

The formula of the frequency is given as,

f = c / λ

Where 'f' is the frequency, c is the speed of light, and 'λ' is the wavelength.

The wavelength of a ray of blue light is 475 nm. If its frequency is x · 10¹⁴ Hz. Then the value of the variable 'x' is given as,

x · 10¹⁴ = (3 · 10⁸) / (475 · 10⁻⁹)

Simplify the equation, then we have

x · 10¹⁴ = (3 · 10⁸) / (475 · 10⁻⁹)

x = (3 · 10⁸) / (475 · 10⁻⁹ · 10¹⁴)

x = (3 · 10⁸) / (475 · 10⁵)

x = 6.316

The value of 'x' is 6.316.

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consider research that you have heard in class or in the media. how did a visual presentation of the data help you understand the information that was presented?

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The visual presentation of the data helps us to understand the information better, because: it provides clearer data which easier for us to identify patterns, trends, and outliers, especially in super large data.

How does the visual presentation advantages?

In presenting data from experiments, it is strongly recommended to use visual presentation, such as graphics, diagrams, pictures, etc. The advantages of using visual presentations are as follows:

It maintains more attention from the readers.It is able to present very large data in just one picture.The meaning of the graph or diagrams is easier to comprehend.

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use the v field sensor to find points with the same reading. make a map of these locations. record the readings (magnitude and direction) of the e field sensor at these same locations. what patterns do you notice in the v field and e field readings?

Answers

The amplitude and direction of the electric field, E, at any given position can be determined by taking into account a slight positive test charge.

Describe a vector?

In science, anything that possesses a both path and a magnitude is referred to as a vector. They are typically represented by pointing lines, the height of which denotes the size of the vector. In physics, a vector is a quantity with both direction and magnitude. It is often depicted by such an arrow whose height was proportional to the magnitude of the quantity but whose orientation is identical to that of the quantity. Despite having a size and a direction.

How do directions work?

The definition of direction is the course that something follows or the course that must be followed to arrive .

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explain how a light material, such as fiberglass insulation, makes an effective barrier to keep a home warm in the winter and cool in the summer.

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Fiberglass insulation makes an effective barrier to keep a home warm in the winter and cool in the summer because it traps air between the fibres.

By trapping air between the fibers, fiberglass insulation functions as an efficient barrier to keep homes warm in the winter and cool in the summer. As a result, the quantity of heat transmission between homes and the outside is considerably reduced, resulting in low conductive insulation.

Fiberglass performs admirably as a thermal insulator. It works well as acoustic insulation as well. Specialized acoustic glasswool batts are the best choice for energy-efficient soundproofing of your home. The thickness and R-Value of a fiberglass product determine how well it can withstand heat flow.

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Which circuits are parallel circuit?‍♂️

Answers

Answer:

OPTION C is correct.

Explanation:

A circuit composed solely of components connected in series is known as a series circuit; likewise, one connected completely in parallel is known as a parallel circuit.

what is the magnitude of road friction force that is needed to bring her car to a halt in 9.0 s ? express your answer with the appropriate units.

Answers

The magnitude of road friction force that is needed to bring her car to a halt in 9.0 s is 1777.78N.

Mass (m) = 1000 kg.

initial speed (u) = 16 m/s.

time (t)= 9.0 Sec.

final speed (v) = 0 m/s.

F = ma

F=m[tex]\times (\frac{v-u}{t})[/tex]

a = [tex]\frac{v-u}{t}[/tex]

force is any action that tends to maintain, change, or distort a body's motion. Isaac Newton's three laws of motion, which are outlined in his Principia Mathematica, are frequently used to illustrate the concept of force. Newton's first law states that until a force is applied to a body, it will remain in either its resting or uniformly moving state in a straight path. According to the second law, when an external force acts on a body, the body accelerates in the force's direction. The amount of matter in the body is inversely proportional to the magnitude of the acceleration and directly related to the strength of the external force.

force (F)=  [tex]1000\times (\frac{0-16}{9})[/tex]=-1777.78N

The opposite force is indicated by the negative sign, which indicates this.

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Showing your calculation determine the heat capacity of the metals for each trial: a) known metal : cu trial 1:

Answers

The heat capacity has to do with the amount of heat that can be added to cause a temperature change.

How do you experimentally determine the heat capacity?

The question is incomplete but I will give you an overview of the experiment determination of the heat capacity.

The heat capacity can be experimentally determined using the method of calorimetry. This involves measuring the change in temperature of a substance as heat is added to it or taken away from it. By knowing the heat added or removed and the resulting change in temperature, the heat capacity of the substance can be calculated using the equation:

C = ΔQ / ΔT

where C is the heat capacity, ΔQ is the amount of heat added or removed, and ΔT is the resulting change in temperature.

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All nuclear reactors operate on the same principle but may use different designs true or false

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"All nuclear reactors operate on the same principle but may use different designs." The given statement is true.

All nuclear reactors work on the principles of generating great amounts of energy by achieving controlled chain reactions in the reactors. Nuclear reactors work by using the heat energy released from splitting atoms of radioactive elements that generate electricity. Most nuclear electricity is generated using just two kinds of reactor which were developed in the 1950s and improved since then.

The reactors of the first generation are not in use, and most of the reactors that are used now are from the second generation. Both huge and tiny new designs are emerging. A nuclear reactor is a device that produces and controls the release of energy from the fission of atoms of certain elements.

Electricity can also be generated from nuclear power reactors where the energy released from this fission is converted into heat energy and this heat energy is used to make steam. The two main types of nuclear reactors are- Pressure water reactors and boiling water reactors.

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ions are a. electrically neutral b. electrically charged c. formed by the gain or loss of protons from the nucleus d. electrically charged and formed by the gain or loss of protons from the nucleus e. none of the choices are correct

Answers

Ions are generated when protons are gained or lost from the nucleus and are electrically charged. Choice (d)

Ions are charged particles that are created when an atom gains or loses one or more electrons. A charged atom or molecule is known as an ion. It is charged because the atom or molecule's number of protons and electrons is different. An atom becomes a negatively charged ion, or anion, when it gains one or more electrons. On the other hand, when an atom gains one or more electrons, it changes into a negatively charged cation or ion. The difference between the number of protons and electrons makes up an ion's charge.

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a refracting and reflecting telescope have the same diameter; the refracting telescope will be much longer than the reflector. group of answer choices true false

Answers

A refracting and reflecting telescope have the same diameter; the refracting telescope will be much longer than the reflector'

The answer choice is true.

Because refracting and reflecting telescopes are designed differently, they can have different lengths even though they have the same diameter. Refracting telescopes, commonly known as refractors, bend and concentrate light to create images. The length of a refractor is mostly dictated by the size of its objective lens, which is the primary light-gathering lens at the front of the telescope. A bigger lens necessitates a longer tube in order to accommodate it, resulting in a greater overall length of the telescope.

Reflecting telescopes, also known as reflectors, on the other hand, employ mirrors to gather and focus light. The length of a reflector telescope is dictated by the size of its primary mirror. A longer optical tube is required to accommodate a larger mirror, but it does not have to be as long as a refractor of the same diameter because the light from the mirror travels a shorter distance before reaching the eyepiece.

Even if a refractor and a reflector have the same diameter, the refractor will be considerably longer due to the length necessary to accommodate its huge lens, but the reflector will have a lower overall length since the light it gathers travels a shorter journey.

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Two identical metal balls are suspended by insulating threads. Both balls have the same net charge. In this problem, do not assume the balls are point charges.(a) Draw a separate free-body diagram for each ball. Label the forces.(b) Suppose the charge on the second ball is reduced slightly so that it is less than that on the first ball. Predict whether the angle that ball 1 makes will be greater than, less than, or equal to the angle that ball 2 makes with the vertical. Explain.(c) Predict what will happen if the net charge on ball 2 is reduced to zero. Make a sketch to illustrate your answer.

Answers

In this situation, both balls will exert electrostatic force on each other in the first example.

Here, in the first scenario, both balls will interact electrostatically. The two balls will reject one another as a result of this electrostatic force.In addition, there will be a vertical downward gravitational force acting on the two balls.

Now that we know, the angle between the two balls will be greater as the horizontal force separates the two balls as the electrostatic force of repulsion between the two balls increases.

As we decrease the charge on one ball, the net electrostatic force between the two balls also reduces since we know that the net electrostatic force between two balls depends on the product of two charges.

The two balls then travel closer to one another as the angle between them diminishes. Additionally, we can see from the free body diagram of two balls that all of the forces acting on the balls are the same; as a result, both balls' angles of inclination with respect to the vertical are same.

Because of this, the angle created by ball l with the vertical equals the angle formed by ball 2.

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for the circuit shown, the supply vin is a variable frequency, fixed magnitude sinusoidal voltage. at 100hz, the voltage drop across the resistor is vr and it equals the voltage across the inductor. if the frequency of vin is reduced to 50hz, what is the new voltage across the resistor in terms of vr?

Answers

The new voltage across the resistor in terms of [tex]V_r[/tex] is [tex]\frac{\sqrt\frac{5}{4} }{\sqrt2 }[/tex]

When referring to the "pressure" that propels electricity, voltage is utilized. Volts (V) are the unit of voltage. and higher voltages cause an electrical device to receive more electricity. However, because too high voltage could damage their circuitry, electrical devices must operate within a range of voltages. A voltage that is too low, on the other hand, can also be a problem since it inhibits circuits from operating and renders the devices built around them worthless. One needs to understand voltage and how to fix related issues in order to handle electronic equipment correctly and identify the underlying causes of issues when they occur.

fxed magnitude sinusoidal voltage. at 100hz, at 100Hz:

[tex]V_r[/tex]= [tex]\frac{V_in}{2}[/tex]

Using the voltage division formula we find that the transfer function is:

Resistor = R

Inductor = jωL

[tex]\frac{R}{R+j \times\omega L}[/tex]

we then equate the magnitude with [tex]\frac{1}{2}[/tex]

[tex]\frac{R}\sqrt{R^2+ (\omega L)^2}[/tex] = [tex]\frac{1}{2}[/tex]

next step assume R =1 and ωL = 1 above

that means that at 50Hz:

R =1 and ωL = .5

plugging into that formula we get [tex]\sqrt{(5/4)[/tex]  and [tex]\frac{\sqrt\frac{5}{4} }{\sqrt2 }[/tex] because this was in terms of [tex]V_in[/tex] not [tex]V_r[/tex].

so the answer is C.

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Question:

For the circuit shown, the supply Vin is a variable frequency, fixed magnitude sinusoidal voltage. At 100Hz, the voltage drop across the resistor is Vr and it equals the voltage across the inductor. If the frequency of Vin is reduced to 50Hz, what is the new voltage across the resistor in terms of Vr?

a.) square root of (5/8) * Vr

b.) square root of (2/3) * Vr

c.) square root of (8/5) * Vr

d.) square root of (3/2) * Vr

An object 21.3 cm tall is placed 13.2 cm in front of a mirror. What type of mirror and what radius of curvature are needed to create an upright image that is 48.1 cm in height? What is the magnification of the image? Is the image real or virtual?

Answers

The mirror is a Concave mirror, the radius of curvature = 48.4 cm and the magnification is 2.25.

What is optics?

The field of physics known as optics is concerned with the behaviour and characteristics of light, including how it interacts with matter and how to build instruments that can either use or detect it.

Since the image is upright and larger than the object, we need a concave mirror.

We know image height, h/object height, h = -image distance, d'/object distance, d

h'/h = -d'/d

Using the real is a positive convention,

h'= + 48.1cm, h = + 21.3cm and d = + 13.2 cm.

48.1 cm/ 21.3 cm = -d'/+ 13.2cm

2 = -d'/12

d' = -29 cm

Using the mirror formula 1/d + 1/d' = 2/r where r = radius of curvature of the mirror

1/+13.2 + 1/-29 = 2/r

15.8 / 382.8 = 2 / r

r = ( 382.8 x  2 ) / 15.8

r = 48.4 cm

Magnification = image height, h'/object height,h

Magnification  = 48.1 / 21.3 = 2.25

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on a scale in which the sun is about the size of a grapefruit and the earth is the size of the ball point in a pen, how far away is the sun from the earth?

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On a scale in which the Earth is roughly 15 meters distant from the Sun, which is the magnitude of a grapefruit. The nearest stars, other than the Sun, are located far away, roughly across the entire United States.

A star is born?

Stars form within dust clouds and are dispersed throughout the majority of galaxies. A well-known example of this kind of dust cloud is the Orion Nebula. Strong turbulence in the clouds creates knots with adequate mass.

How long do stars actually live?

Cosmologically speaking, the largest supermassive black holes have short lives—at most a few million years. They live short lives and die young. Smaller stars have much less fuel to begin with, such as those with energies of less about 10% of neutrons or protons.

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what happens when you touch the ball with the rod? what happens when you touch the ball with the rod? the aluminum ball is repulsed by the foam rod. the aluminum ball does not interact with the foam rod. the aluminum ball is attracted to the foam rod.

Answers

The aluminum ball will be repelled by the foam rod, meaning it will be pushed away from the foam rod and move in the opposite direction.

What is the direction?

The direction can be defined as the route, course, or path followed by a person, group, or thing. It is the line of orientation that guides the way in which something is directed or moved. Direction also refers to the order or path of movement, be it forward, backward, up, down, or in any other specified way. Direction is an important element in life, as it serves to guide people and objects throughout their respective journeys. It can be used to explain the various movements of people, animals, and objects in the physical world, or it can be used to describe the paths taken to reach a goal. Direction is not only physical, but also mental, as it can refer to a persons way of thinking and their overall attitude.

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what type of motion is believed to cause concussions to occur? what device is described as a potential alternative that would prevent this type of motion and potentially prevent some concussions?

Answers

Movements that cause a concussion are body movements that can vibrate the brain so hard that the brain moves back and forth quickly. Tools that avoid concussion are helmets, mouth guards, and other head protectors.

Definition of Concussion

Concussion is a condition in which the brain is injured as a result of a hard blow, impact, or shock. A concussion is classified as a mild brain injury because it is usually not life threatening.

A common sign of a concussion is a headache that lasts for more than a few minutes. Some signs that could also indicate a concussion include blurred vision, and/or feeling dizzy or foggy.

This concussion is part of Newton's three laws. Where when an action is given to an object, the object will give an equal and opposite reaction. With different masses and different accelerations.

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Which source of energy is used in a nuclear power station to generate electrical energy

Answers

Steam is produced when the cooling agent is heated by nuclear fusion. Turbines, or wheels turned by a flowing current, are rotated by the steam. The generators, which are engines that produce power, are driven by the turbines. Above process is followed in a nuclear power station to generate electrical energy.

Electrical energy is the energy that emerges from the kinetic or potential energy of charged particles. It is referred to be energy that has undergone transformation from overall electric potential energy.

Electrical energy can be described as the result of electrons travelling between two points. The movement of charged particles along or through a medium is known as electricity or current (like a wire).

The basic unit of electrical energy is the joule, also referred to as a watt-second. One joule of electrical energy is produced when one amp of current flows through a circuit for one second while a potential difference of one volt is applied across it.

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A net charge of –1.7 × 10–17 C is established on a gas hob ignition system. Approximately how many excess electrons on the ignition system?

Answers

According to the solving Approximately - 2.72 × 10² excess electrons on the ignition system.

What exactly is an ignition system?

An electric spark is used to ignite the fuel-air mixture in a gasoline engine, and the combustion of this mixture in the cylinders generates the motive force. Related Articles: distributor reluctor breakers spark plug electric starter.

What does the ignition system do?

To ignite the mixture of gasoline and air in the engine's combustion chamber at precisely the appropriate moment, the ignition system's primary function is to produce an electric spark.

According to the given information:

Given charge  =  –1.7 × 10⁻¹⁷ C

no. of electrons = (–1.7 × 10⁻¹⁷)/(1.6 × 10⁻¹⁹)

                           = - 2.72 × 10²

According to the solving Approximately - 2.72 × 10² excess electrons on the ignition system.

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Use evidence and scientific reasoning to explain why the reading on the balance increased as Magnet 2 was lowered towards Magnet 1. Remember that Magnet 1's North pole was facing upwards while resting on the balance. In your response, be sure to describe the magnetic field interactions and the orientation of the magnetic poles for each magnet

Answers

The increase in the reading on the balance as Magnet 2 was lowered towards Magnet 1 was due to the interaction between the magnetic fields of the two magnets and the orientation of their magnetic poles, leading to an increase in the overall magnetic field strength.

When Magnet 2 was lowered towards Magnet 1, the reading on the balance increased because of the interaction between the magnetic fields of the two magnets.

Magnet 1, with its North pole facing upwards, creates a magnetic field with lines of force flowing out of the North pole and into the South pole. This creates a magnetic field that is stronger near the North pole and weaker near the South pole.

When Magnet 2 was brought near Magnet 1, the magnetic field of Magnet 2 interacts with the magnetic field of Magnet 1.

If the North pole of Magnet 2 is facing the South pole of Magnet 1, the magnetic fields of the two magnets will reinforce each other, leading to an increase in the overall magnetic field strength.

This increase in magnetic field strength can be detected by the balance, causing the reading to increase.

It's important to note that the orientation of the magnetic poles and the direction of the magnetic field lines play a crucial role in the magnetic field interactions between two magnets.

If the North pole of Magnet 2 was facing the North pole of Magnet 1, the magnetic fields would repel each other, causing the reading on the balance to decrease.

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an object of mass 80kg was placed in a lift ascending at 1.25m/s square.Calculate it's weight in the lift(g=10m/s square)​

Answers

Explanation:

work = mgh

work= 80×10×1.25

w= 1000 joules

Answer:

800N

Explanation:

W=mg

where m=mass,g=acceleration due to gravity,W=weight

W=80×10

W=800N

there are two principal scales we use. one is the major scale; the other is:

Answers

Answer:

The other principal scale is the minor scale.

Answer: Minor

Explanation:

what conclusions can you make regarding the total energy of the released marble(s) and the total energy of the marble(s) knocked away from the row?

Answers

Due to momentum conservation, energy from one marble is transferred into another marble when it collides with another marble.

At repose is the larger marble. The marble with a lower mass bounces off in the other direction following the contact. Moving in the same direction as the smaller stone is the larger one. If only one marble was able to strike the marbles in the line, then only one marble will shoot out the other end.

The initial momentum before the collision and the end momentum after the impact are equal, assuming an elastic collision. Momentum is preserved in a collision, as stated by Newton's third law of motion. That implies that what is put in must come out.

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a rotating fan completes 1200 revolutions every minute. consider the tip of a blade, at a radius of 0.15 m. (a) through what distance does the tip move in one revolution? what are (b) the

Answers

The angular velocity of the tip of the blade is angular velocity = 2 * π * 1200 rotations / minute = 7539.82 rad/min.

(a) To find the distance the tip of the blade moves in one revolution, we can use the circumference of a circle:

distance = 2 * π * radius = 2 * π * 0.15 m = 0.94 m

So, the tip of the blade moves a distance of 0.94 meters in one revolution.

(b) To find the linear velocity of the tip of the blade, we can use the formula for linear velocity:

linear velocity = distance / time = 2 * π * radius * rotations / minute

Since the fan completes 1200 revolutions per minute, the linear velocity is:

linear velocity = 2 * π * 0.15 m * 1200 rotations / minute = 94.25 m/s

To find the angular velocity of the tip of the blade, we can use the formula for angular velocity:

angular velocity = 2 * π * rotations / minute

So, the angular velocity of the tip of the blade is:

angular velocity = 2 * π * 1200 rotations / minute = 7539.82 rad/min.

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5.How can we determine if an object is charged or not?

Answers

The presence or absence of electric charge on a body is detected by an Electroscope. An electroscope is a scientific device which is utilized in order to check if any object has any charge or not.

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Answer:

through the use of a Gold leaf electroscope

what angle will give the maximum range for a launched projectile? how can this be determined from the given equation?

Answers

The required angle for the range of the projectile to be maximum is at an angle equal to 45°.

We know the horizontal range of the projectile as,

R = u² sin2θ/g

where,

R is range in metres

u is initial velocity in m/s

g is acceleration due to gravity in m/s²

The range of the projectile will be maximum when the angle is maximum.

So, sin 2θ should be maximum.

Sine angle has a maximum angle at its value equal to 1.

sin 2θ = 1

2θ = 90°

θ = 45°

Thus, the maximum range for a launched projectile is at angle equal to 45°.

The given question does not have any equation given. It is solved according to the basic information given.

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