replace the force system acting on the post by a resultant force, and specify where its line of action intersects the post ab measured from point b. (10 points)

Answers

Answer 1

The resultant force is the force that can replace all the acting forces and have a comparable effect on the section or beam when several forces are acting on it.

If the forces acting on a body in a specific direction result in a net sum of zero in that direction, the forces acting on the body are said to be in equilibrium.

The resultant force is the force that can replace all other forces operating on a beam or section while still having the same impact on the section or beam. This force is used when many forces are acting on a beam or section.

The resultant force in the X direction equals 250 and must act for more than five, minus 500 cosign 30 minus 300, which equals 533.41 Newton and the magnitude of the forces in the left direction. The magnitude of the resultant force in the y direction should likewise be the same. S

ome forces that are equal to 500 sign 30 - 150 in the y direction. multiply it by 3/5 so that it equals 100. Newton's are inefficient, thus the force Rf's magnitude should be square root off 533.1 square lost 100 square, equaling 542 Newtons, and the angle Sita if 10 members 100 over 533.41, equal to 10.6 degrees for the location off.

We have 533.1 when we multiply the equal 500 committed by the result on force So instant off the resultant around the. 30 supply point to minus 250 and multiplied by minus 500. city above five, apply.

Subtract 200 50 from 0.5. Divide by 4/5. Loss of three supplies A 300 must submit one. Therefore, using this equation, we can determine T's value, which is 827 millimeters.

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Related Questions

a. A 2.0 kg object is moving to the right with a speed of 1.0 m/s when it experiences the force shown in Figure P9.7a. What are the object's speed and direction after the force ends?

b. Answer this question for the force shown in Figure P9.7b.

Answers

The speed of the object is 3.0m/s and the direction is equal to the direction of its initial velocity.

Given:
mass of the object m=2.0kg
object's constant velocity before the action of the force v0=1.0m/s 

From the graph of the force against time,
we can see that the force is constant (F=8.0N)
and it only acts for Δt=0.5s in the same direction of the object's motion (positive direction, to the right).

Now, using impulse-momentum theorem,
J=Δp
The impulse of the force equals the variation in the object's linear momentum.

In scalar form, along the motion's direction, we can write:
FΔt=Δp

The variation in the linear momentum equals: FΔt=mvf−mv0,
where: vf is the unknown final velocity.
Solving for vf, we have:
vf=8.0N⋅0.5s2.0kg+1.0m/s
= 3.0m/s

The object's velocity after the force ends equals 3.0 m/s, moving to the right.
The force increases the velocity of the object because it acts in the same direction as the initial velocity.

Therefore, the object's speed is 3m/s and the direction is the same direction as the initial velocity.

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If an 800 kg roller coaster is at the top of its 50 high trackwill have a potential energy 392,000 J and a energy of This means the total mechanical energy is 392,000 the cart drops down to where its kinetic energy is now 92, 000J how high off the ground is the cart now?

Answers

Given data:

* The mass of the roller coaster is m = 800 kg.

* The total mechanical energy is E = 392000 J.

* The kinetic energy at the particular height (let h') is K = 92000 J.

Solution:

The potential energy of the roller coaster at h' is,

[tex]\begin{gathered} U=E-K \\ U=392000-92000 \\ U=300000\text{ J} \end{gathered}[/tex]

The potential energy in terms of height and mass is,

[tex]U=\text{mgh}[/tex]

where g is the acceleration due to gravity,

Substituting the known values,

[tex]\begin{gathered} 300000=800\times9.8\times h \\ 300000=7840\times h \\ h=\frac{300000}{7840} \\ h=38.3\text{ m} \end{gathered}[/tex]

Thus, the height of the roller coaster from the ground is 38.3 meters.

a 100-hp 250-v 350-a shunt d.c. motor with an armature resistance of 0.05 ω. it is desired to design a starter circuit limits the maximum starting current to twice its rated value and which will switch out sections of resistance as the armature current falls to its rated value.

Answers

n= log(Ra/Rt)/log(Imin/Imax) ;= log(0.05/0.357)/log(350/700)= 2.84

3 stages of starting resistances

A circuit's opposition to current flow is measured by its resistance. The Greek letter omega () stands for ohms, which are used to measure resistance. Georg Simon Ohm (1784–1854), a German physicist who examined the connection between voltage, current, and resistance, is the subject of the name "Ohm." Many parts have a set resistance value, including heating elements and resistors. In manuals or on nameplates of components, these values are frequently printed for reference.

If there is a tolerance listed, the measured resistance value must fall within the given resistance range. A issue is typically indicated by any appreciable change in a fixed-resistance value.

Although the word "resistance" may sound bad, it has positive uses in electricity. In an active circuit, resistance cannot be measured.

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in order to correctly calculate the mass of jupiter, the semi-major axis value needs to be in au instead of jupiter diameters. multiply your amplitude value by 9.545x10-4 au/jd to convert from jupiter diameters to au. calculate and convert the amplitudes for all of the moons in your excel sheet. 7. which of the galilean moons is closest to jupiter and which is the furthest?

Answers

The a3=MT2 is a variant of Kepler's third law. Where a denotes the semi-major axis distance in AU, M the central body mass in solar masses, and T the orbital period in years.

These are Jupiter's largest moons, and they were the first four discovered beyond Earth in 1610 by astronomer Galileo Galilei. The mass of Jupiter can be calculated by studying the motion of one of these moons and applying Kepler's third law and Newton's law of universal gravitation. Sending a spacecraft to a planet and measuring the acceleration due to gravity as the spacecraft passes by it is the most accurate way of measuring its mass.

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A cow wanders 30 m North, turns 22 degrees right of its original path, and wanders another 40 m. Find its total displacement.

Answers

Answer:OB=58.3m

Explanation:

So here cow wanders 30m in north and turns 22 degrees in right side and moves 40m more, as shown in figure given.

now take the starting point as a origin such that cow moves in x-y co-ordinate axis.

As shown in figure length OA is the length when cow moves in north or y direction. Later she takes 22 degrees turn to right and moves 40m more.

So the final displacement is the length of cow from the origin that is length OB.

now co-ordinates of B are [40cos22°,40sin22°+30] i.e [37.084,44.984]

now displacement of cow= length of OB

                                           = [tex]\sqrt{[37.084]^{2}+[44.984]^{2} }[/tex]

                                           =[tex]\sqrt{3398.78}[/tex]

                                     OB =[tex]58.3[/tex]

                                         

Specific heat capacities are tabulated in units of j/g⋅k, but most temperature measurements are made in units of celsius. If a system is initially at 5°c and is heated to 10°c, what is the change in temperature in kelvins?.

Answers

The change in temperature in kelvin, given that the system was heated from 5 °C to 10 °C is 278 K

How to determine the change in temperatuer

We'll begin by obtaining the change in temperature in degree Celsius. This can be obtained as follow:

Initial temperature (T₁) = 5 °CFinal temperature (T₂) = 10 °CChange in temperature (ΔT) =?

ΔT = T₂ – T₁

ΔT = 10 – 5

ΔT = 5 °C

Finally, we shall convert 5 °C to unit in kelvin. This can be obtained as follow:

Change in temperature (in °C) = 5 °CChange in temperature (in K) = ?

T(K) = T(°C) + 273

T(K) = 5 + 273

T(K) = 278 K

Thus, from the above calculation, we can conclude that the change in temperature is 278 K

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State reason why water spilled on glass surface wets the surface

Answers

Water wets glass and spreads out on it because the adhesive forces between the liquid and the glass are stronger than the cohesive forces within the water.

the initial velocity of a 2.35 kg block sliding down a frictionless inclined plane is found to be 1.31 m/s. then 1.13 s later, it has a velocity of 5.07 m/s. what is the angle of the plane with respect to the horizontal

Answers

mg x sin A calculates the force pushing the mass down the hill. Additionally, this force has the same formula: m x a, where an is the actual acceleration in the plane. By dividing the difference between the two speeds by the provided time, or 5.07 m/s - 1.31 m/s / 1.73 s = 4.34 m/s2, the acceleration a may be calculated.

Ma is therefore equal to mg times sin A, or sin A = a / g, or 4.34 m/s2 times 9.81 m/s2 times 0.439.

A = arc sin(0.439)sin(26.0) =

How is friction defined?

Friction is a force that prevents two solid objects from rolling or sliding over one another. Although frictional forces, such the traction required to walk without slipping, may be advantageous, they can provide a significant amount of resistance to motion.

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2
When you drop a 0.37 kg apple, Earth ex-
erts a force on it that accelerates it at 9.8 m/s²
toward the earth's surface. According to New-
ton's third law, the apple must exert an equal
but opposite force on Earth.
If the mass of the earth 5.98 x 1024 kg, what
is the magnitude of the earth's acceleration
toward the apple?
Answer in units of m/s².

Answers

The earth's acceleration toward the apple is 6.064×10⁻²⁵ m/s²

What is acceleration?
The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate (in that they have magnitude and direction). The direction of the net force acting on an object determines the direction of its acceleration. According to Newton's Second Law, the amount of an object's acceleration is the combined result of two causes:

The amount of the net resultant force, which is directly proportional to the sum of all external forces acting on that object;
Depending on the materials used to create it, an object's mass is inversely related to its magnitude.

Force on earth = 0.37×9.8 = 3.626N.

Acceleration of earth = 3.626/5.98×10²⁴ = 6.0635×10⁻²⁵  m/s²

Therefore, The earth's acceleration toward the apple is 6.064×10⁻²⁵ m/s²

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What is the height a football is
kicked when it leaves the players
foot at 30 m/s in a 29° angle?

Answers

Answer:

Vy = V0 * sin θ          vertical speed

Vy = 30 m/s * sin 29 = 14.5 m/s

t = 14.5 m/s / 9.8 m/s^2 = 1.48 sec         time to reach max height

H = Vy t - 1/2 g t^2       acceleration is in opposite direction to initial Vy

H = 14.5 m/s * 1.48 s - 1/2 * 9.8 m/s^2 * (1.48 s)^2

H = 10.7 m

Assuming you are looking for the maximum height of the football during its flight, here the answer.

Answer: 10.78 meters

Steps:

Equation for maximum height reached:
H = Vo^2 * sin^2 θ / 2g

Note:
H = maximum height
Vo = initial velocity
θ = angle
g = gravity

Here is what we know
Vo = 30
θ = 29°
g = 9.81

Therefore

H = 30^2 * sin^2 (29) / 2 * 9.81

Now let’s solve for H step by step.
H = 900 * sin^2 (29) / 2 * 9.81
H = 900 * 0.23504036 / 19.62
H = 211.53633109 / 1962
H = 10.78166825

H = 10.78 meters

An object weighs 350 N. Find its mass.
Use g = 10 m/s².

Answers

Answer:

Explanation:

Given:

F = 350 N

g = 10 m/s²

___________

m - ?

m = F / g = 350 /  10 = 35 kg

our electric drill rotates initially at 5.47 rad/s.5.47 rad/s. you slide the speed control and cause the drill to undergo constant angular acceleration of 0.379 rad/s20.379 rad/s2 for 4.05 s.4.05 s. what is the drill's angular displacement during that time interval?

Answers

31.257 radian  is the drill's angular displacement during that time interval.

initial angular speed  ω0 = 5.27 rad/sec , ang.acceleration  α = 0.399 rad/s2 , time t = 4.99 sec

angular displacement

θ = ω0 t + 1/2×αt^2

solving we get

θ = 31.257 rad

The angle at which a point revolves about a center or a line around a certain axis is known as the angular displacement of a body. We cannot examine a body's motion as a particle when it is moving or being rotated on its axis.

Rotational motion is the movement of a rigid body about a fixed axis. When the body or item is thought of being rigid, dealing with rotation is made simpler and easier. At every moment (t), the item experiences a change in acceleration and velocity similar to circular motion.

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Tiana leaves her internship at the doctor's office and goes home to wake up her brother, Adam. Then, they both walk to the school together to watch a play by the Drama Club. What distance did Tiana cover?

Answers

The distance covered by Tiana is greater than the distance covered by the brother.

What is distance?

Distance is defined as the quantity that defines how far or near an object is from an observer which is normally measured in meters, kilometers and feet.

There are various ways by which distance can be measured which include the following:

Pacing,Odometer,Taping or "chaining," and Stadi.

From the scenerio created concerning Tiana and the brother, Tiana first left the doctors office to her friends house and they both left together to the school.

This shows that the distance covered by Tiana is greater than the distance covered by her brother.

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a flatbed truck is carrying a crate along a level road. the coefficient of static friction between the load and the bed is 0.40. the truck accelerates forward and the crate stays in its place on the truck bed. in what direction is the force that the bed exerts on the crate?

Answers

The direction is the force that the bed exerts on the crate Forward.

Friction between the track and the crate holds the crate in place and allows the crate to move with the vehicle. As a result, the crate's frictional force is directed north, in the same direction as the truck's velocity. As mentioned earlier, both the horizontal and vertical forces have a magnitude of 0 so there is no net force on the box. Therefore, the force on the box has no direction.

The net force always has the same direction as the acceleration. For an object in a circular motion with constant velocity, the net force is directed toward the center of the circle around which the object is moving. The frictional force acts on a moving object, and its direction is opposite to the direction of movement. As we walk, our feet are pushed backward so friction works in the opposite direction to counteract the push.

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rank in order, from largest to smallest, the magnitudes of the horizontal forces f1 , f2 , and f3 acting on the arrows. some may be equal. state your reasoning.

Answers

The ranking  in order from largest to smallest of the magnitudes of the horizontal forces f1 , f2 , and f3 acting on the arrows is F1=F2=F3>0 because there is no change in the horizontal motion of the arrows.

All three arrows in the scenario have been shot and it is assumed that air resistance can be neglected. With the motion of the arrows in horizontal direction, there is no likely change in the horizontal motion of the three arrows. This makes the three forces equivalent to one another and each force is equal to zero (i.e. F1=F2=F3=0).

Here's the complete question:

Rank in order, from largest to smallest, the magnitudes of the horizontal forces F1, F2, and F3 acting on the arrows. Some may be equal. State your reasoning. Rank in order, from largest to smallest, the magnitudes of the horizontal forces , , and acting on the arrows. Some may be equal. State your reasoning.

a. F3>F1=F2 because the mass of the first arrow is equal to the mass of the second arrow which is less than the mass of the third arrow.

b. F1=F2=F3=0 because there is no change in the horizontal motion of the arrows.

c. F1>F2=F3 because the velocity of the second arrow is equal to the velocity of the third arrow which is less than the velocity of the first arrow.

d. F1=F2=F3>0 because there is no change in the horizontal motion of the arrows.

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A football player throws a football 30 meters in 2.5 seconds. What is the speed of the ball?A 75 m/sB 12 m/sC 30 m/sD 2.5 m/s

Answers

Given,

The distance covered by the football, d=30 m

The time it takes for the football to cover the given distance, t=2.5 s

The speed of an object is given by the ratio of the distance covered by the object to the time it takes for the object to cover that distance.

Thus the speed of the ball is given by,

[tex]s=\frac{d}{t}[/tex]

On substituting the known values in the above equation,

[tex]\begin{gathered} s=\frac{30}{2.5} \\ =12\text{ m/s} \end{gathered}[/tex]

Thus the speed of the ball is 12 m/s

Therefore the correct answer is option B.

modulus of oil is 5 * 10 ^ 9 * Pa and its compressibility is 2 * 10 ^ - 5 * at * m ^ 1

Exercise 9: The brass plate of an outdoor sculpture experiences shear forces in an earthquake. The plate is 0.8m ^ 2 and 0.5 cm thick. What is the force exerted on each of its edges if the resulting displacement x is 0.16 mm? (Shear modulus = 3.5 * 10 ^ 10 * Pa )

Answers

The force exerted on each of its edges  at the given shear stress and area is determined as 2.8 x 10¹⁰ N.

What is force exerted on each plate?

The force exerted on each plate is calculated by applying the formula for shear stress as shown below.

Shear stress is the force that tends to cause deformation of a material by slippage along a plane or planes parallel to the imposed stress. Like the name implies, shear stress or forces tends to "shear" object or cause deformation of materials.

F = Aσ

where;

F is the applied A is the area of the surfaceσ is the shear stress

Substitute the given parameters and solve for the force applied to create the shear stress.

F = (0.8 m²) x (3.5 x 10¹⁰ Pa)

F = 2.8 x 10¹⁰ N

Thus, the force exerted on each of its edges resulting in the given displacement increases as the shear stress increases.

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When air expands it and it is warm outside then the air is ________________________

Answers

When air expands it is warm outside then the air is contracted and becomes cool.

What is air?

The atmosphere of Earth or also known as air is the layer of gases retained by Earth's gravity that surrounds the planet and forms its planetary atmosphere.

When warm air expand,  the molecules heat and move faster makin them to move apart. So we know that air expands when heated and contracts when cooled, the reason for that is because there is more space between the molecules, the air is less dense than the surrounding matter and the hot air floats upward.

Atmospheric convection helps us to understand that as air heats up and becomes less dense, it rises higher into the air. As it reaches higher elevations, it encounters less air pressure. The lower air pressure at higher elevations allows the air to expand even more. As this air continues to expand, it begins to cool down.

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hi the picture attached is my question on my homework

Answers

ANSWER:

Sphere B

STEP-BY-STEP EXPLANATION:

The time of the air depends on the mass, initial velocity and the height of the object, having the same mass and the same height, it depends only on the initial velocity.

The higher the initial velocity, the shorter the time in the air, therefore in this case the sphere B that has a lower velocity will be the one that will spend the longest time in the air.

NEED HELP URGENTLY FOR 10 POINTS!

Answers

Answer:

when he shot a beam of alpha particles at a sheet of gold foil, a few of the particles were deflected. He concluded that a tiny, dense n)ucleus was causing the deflections. SO the 3rd option :)

Explanation:

its like 4 a_m r)n why am i on brainly id_k have a nice day !

one metal object is a cube with edges of cm and a mass of g. a second metal object is a sphere with a radius of cm and a mass of g. are these objects made of the same or different metals? assume the calculated densities are accurate to .

Answers

density   ρ=mass/volume  density accuracy > 1%

cube volume  = 27 cm^3&mass = 140.4 g Density =140.4/27=5.2g/cm^3 sphere volume = 12 cm^3&mass= 61.6 g Density =61.6/12=0.133g/cm^3

mass per unit volume of a solid substance; density. Density is defined as d = M/V, where M stands for mass, and V for volume. The unit of density that is most frequently used is grammes per cubic centimetre. For instance, the density of Earth is 5.51 grammes per cubic centimetre, while the density of water is 1 gramme per cubic centimetre. Kg per cubic metre is another way to measure density (in metre-kilogram-second or SI units). Air, for instance, has a density of 1.2 kilogrammes per cubic metre. Books and manuals list the densities of typical solids, liquids, and gases. An easy way to determine a body's mass from its volume, or vice versa, is by its density.

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A refrigerator operates on average for 10.0 h a day if the power rating of the refrigerator is 700 W how much electrical energy does the refrigerator use in one day

Answers

If a refrigerator operates on average for 10.0 h a day if the power rating of the refrigerator is 700 Watts, then the electrical energy consumed by the refrigerator in one day would be 25200-kilo Joules .

What is power?

The rate of doing work is known as power. The Si unit of power is the watt.

Power = work / time

As given in the problem If a refrigerator operates on average for 10.0 h a day if the power rating of the refrigerator is 700 Watts,

The electrical energy consumed by = power × time

                                                           = 700 × 10 × 3600

                                                           = 25200000 Joules

                                                           = 25200-kilo Joules

Thus, the electrical energy consumed by the refrigerator would be 25200-kilo Joules.

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extend your answer to question 5: what will be the final velocity of cart b if it is infinitely more massive than cart a? what will be the maximum velocity of cart b when it is of infinitesimal mass compared to cart a?

Answers

A common occurrence is the collision of a moving object with another object, after which both objects stick together. Because there is no bounce, such a collision is referred to as inelastic.

Inelastic collisions occur when kinetic energy is lost. An elastic collision, on the other hand, is one in which the kinetic energy after is equal to the kinetic energy before. Inelastic collisions occur when there is some "bounce" but the final kinetic energy is less than the initial kinetic energy. A collision with no bounce is sometimes referred to as completely inelastic. Collisions that are completely inelastic result in the objects sticking together and lose the most kinetic energy.

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A ball rolls down a ramp for 15 seconds. If the initial velocity of the ball was 2.1 m/sec and the final velocity
was 7.3 m/sec, what was the acceleration of the ball?

Answers

Answer: a=.347

Explanation: Acceleration can be calculated by subtracting the initial velocity (2.1 m/s) from the final velocity (7.3) and dividing the difference by the time (15s).

[tex]\frac{7.3-2.1}{15} = .347[/tex]

Two runners are racing around a cicular track. The first runner is in the inside lane. The second runner is in the outside lane. If the first runner wants to stay side-by-side with the second runner, what does her angular velocity need to be?.

Answers

If the first runner wants to stay side-by-side with the second runner, The angular velocity needs to be the same as they would then cover equal angular distance for a period of time.

An equal angular distance means that it would always be side to side.In order to do this, the first runner needs to run at a faster speed than the second runner. This is because the second runner is running in a larger circle than the first runner, so she covers more ground in the same amount of time. The first runner needs to make up for this by running at a faster speed.

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A 900 kg walrus is swimming at a speed of 35 km/hr. What is its kinetic energy?

Answers

42534.7290278 joules

Calculate the potential energy of a 50 kg diver on board 5 meters above the water

Answers

The Potential energy is 2450 J.

Potential energy = mgh

m = mass of an object

g = acceleration due to gravity

h =  height of an object where it is placed

Put these values in formula, mgh

Potential energy = mgh

Potential energy = 50×9.8×5

Potential energy = 2450 J

Potential energy is stored energy in an object. Potential energy is the product of mass of an object, acceleration due to gravity and height of an object where it is placed.

The S.I. unit of potential energy is joule and is represented by J.

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If a high tide occurs at 6 A.M. and 6 P.M. At what time will the low tides occur?

Answers

The time it takes for the water along the shore to go from high to low and back again is six hours and 12.5 minutes between high tides, which happen every twelve hours and twenty-five minutes.

How long does it take for the tide to change from high to low?

six days, twelve and five minutes

Coastal locations see two high and two low tides every 24 hours and 50 minutes because the Earth spins through two tidal "bulges" every lunar day. There are 12 hours and 25 minutes between high tides. The sea level at the shore can change from high to low or from low to high in six hours and 12.5 minutes.

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the heating coil in a hair dryer is made of nichrome wire with a radius of 0.275 mm. if the coil draws a current of 8.85 a when there is a 120 v potential difference across its ends, find the following. (take the resistivity of nichrome to be 1.50 ✕ 10−6 ω · m.)

Answers

The resistance of the coil  R IS 12.435Ω  and The length of the wire that is calculated from R= ρL/A is L = 1.97 m.

Electrical resistance is a force that opposes the flow of current and is hence resistance to electricity. In this sense, it acts as a gauge for the difficulty of current flow. Ohms () are used to measure resistance.

Electricity will flow from high to low when there is an electron difference between two terminals. In opposition to that flow is resistance. The current decreases with increasing resistance. Conversely, the higher the current, the lower the resistance. In theory, resistance is affected by the kind, temperature, and length of the material through which the electricity is flowing. Metals generally have low electrical resistance, which varies depending on the type of metal, which makes electricity flow through them more easily.

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an electric motor rotating a workshop grinding wheel at a rate of 103 rev/min is switched off with a constant deceleration of 1.96 rad/s 2 . how long does it take for the grinding wheel to stop? answer in units of s.

Answers

5.45 second  it will take for the grinding wheel to stop an electric motor rotating a workshop grinding wheel at a rate of 103 rev/min is switched off with a constant deceleration of 1.96 rad/s 2

ω1 = 2π(103/60) = 10.7 rad/s

ω2 = 0

α = -1.96 rad/s^2

time t = (ω2 - ω1)/α

= 10.7  / 1.96

= 5.45s

θ = ω1t + (1/2)αt^2

 = 58.31 - 29.12 = 29.21

Generally speaking, deceleration is a decrease in acceleration. When an object's speed decreases with respect to time, it is said to be decelerating. In contrast to acceleration, deceleration involves a negative rate of change in velocity.

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how was the Declaration of Independence different from previous documents prepared by colonists? A- it committed the colonies to be independentB- it asked king George III to take actionC- it did not list problems that colonists had with British rule.D- it was approved by the continental congress How high would a projectile go if it was launched from ground level with an initial speed of 26 m/s at an angle of 30 degrees above the horizontal? After an afternoon party, a small cooler full of ice is dumped onto the hot ground and melts. If the cooler contained 9.10 kg of ice and the temperature of the ground was 42.0 C, calculate the energy that is required to melt all the ice at 0 C. The heat of fusion for water is 80.0 cal/g phenylketonuria (pku) is a disease in humans that results from the abnormal metabolism of the amino acid phenylalanine. if untreated, it can lead to severe brain damage in infants. two normal parents have a child who has pku. what can you determine about the inheritance of the pku allele from this information? question 10 options: it is pleiotropic. it is dominant. it is epistatic. it is recessive. What is our main source forknowledge about Ghana'shistory? describe the organelles and structures a protein that is destined to leave the cell would interact with on its journey from synthesis to exile from the cell of its birth. A sample of 342 students at a university is surveyed. The students are classified according to gender ("female" or "male"). They are also classified according tomajor ("blology", "business", "engineering", "mathematics", or "computer science"). The results are given in the contingency table below.Biology Business Engineering Mathematics Computer scienceFemale4623501837Male4815461544What is the relative frequency of male students in the sample?Round your answer to two decimal places.05.? helpppppppppppppppppppppppppppppppppppppppppppp committee's decision.Which option presents a complete and effective evaluation of Dan DeLuca's argument in his article "Dylan's Nobel Prize Settles Debate: Rock Lyrics Are Poetry"?According to DeLuca, Dylan deserved the Nobel Prize for Literature. He was the first American since 1993 to win it and was one of President Obama's favorite poets. Since he was at the height of his popularity in the 1960s, this award shows that his influence has stood the test of time.DeLuca believes that rock lyrics must be recognized as poetry because legendary singer-songwriter Bob Dylan has been awarded the Nobel Prize for Literature. In doing so, the Nobel committee has recognized the value of Dylan's words, which have spoken for and inspired generations since the 1960s.According to Dan Deluca, Bob Dylan was an unlikely choice for the Nobel Prize for Literature. Many experts refuse to believe that song lyrics are poetry, and the odds against Dylan winning the award were high. DeLuca also points out that the award has little monetary value in comparison with Dylan's wealth.Dan DeLuca is a fan of Bob Dylan's lyrics. He seems to know them by heart and quotes from many songs in his article. He also recognizes Dylan's influence on other artists, such as the novelist Salman Rushdie, the singer-songwriter Bruce Springsteen, and many rap artists, who imitate Dylan's use of internal rhyme. Bryant measured a house and made a scale drawing the scale he used was 1 inch = 1 foot what scale factor does the drawing use? in an rea model of the purchase and payment process, if each purchase involved only one high value item, such as a new automobile, the maximum multiplicity next to the inventory resource would be , and the maximum multiplicity next to the purchases event would also be . Take a stance, do u agree or disagree with patrick henry's speech? Why or Why not? Passes through the coordinates -2,2 parallel to the line whose slope is -1 Find the values of x and y. how do i respond to Stated as an English sentence, of course, this is just a banal platitude, but the fact is that in the day to day trenches of adult existence, banal platitudes can have a life or death importance, or so I wish to suggest to you on this dry and lovely morning. 11A family went out to dinner. The cost of their meal was $689, before sales tax and tip.A sales tax of 8% was added.(a)The family then tipped 20% on the amount after the sales tax was added,Part AWhat was the amount, rounded to the nearest cent, of just the sales tax?Show all of your work and record your final answer in the space below.Click the box below to type your math work and answer.On the right side of the box, click thebutton to start a new line. Garcia's bike rentals, it cost $38 to rent a bike for 9 hours. How many hours of bike use does the customer get per dollar. If necessary, round the answer to the nearest hundredth solve each linear equation 7+2x=4x-3 A table is made using the following two patterns.Pattern x: Starting number: 3, Rule: add 3Pattern y: Starting number: 6, Rule: add 6Complete the table for the given patterns.And then it asks to graph the points from 3 points Identify the sentence that uses a cause and effect relationship.Since the electricity was out for most of the day, the ice cream in the freezer melted.*For best results, bring the water to a boil before adding the pasta.Dogs are typically loud and active, while cats are usually quiet and sedentary.As soon as I had brushed my teeth and combed my hair I put my favorite earrings on.