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The total length of the wire required is 63 m.

The current is the stream of charges which flow inside the conductors when connected across the end of voltage.

Given is a solenoid is configured to produce a magnetic field of 0.027T at its center. it has radius 1.4 cm and length 40cm and the wire can carry a maximum current of 12.0 A.

Radius, r = 1.4cm = 0.014 m

Length l = 40 cm = 0.4 m

If the current is I, then the magnetic field in solenoid is given by

B =  μ₀ n I

By substituting the values, we get

0.027 = 4π x 10⁻⁷ x n x 0.4

n = 1792 turns/unit length

Total length of wire = circumference x Turns

L = 2πr x N

where N = nl

Plug the values, we get

L = 2π x 0.014 x1792 x 0.4

L = 63 m

Thus, the total length of the wire is 63 m.

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The degree measure of angle ∠ bac will be 70°. Option C is correct.

The angle is the distance between the intersecting lines or surfaces. In addition, the angle is expressed in degrees. The angle is 360 degrees for a full revolution.

Given expression;

[tex]\rm cos^{-1}(\frac{3.4}{10})=x \\\\ x = cos^{-1}(0.34) \\\\ x = 70.12^0[/tex]

The degree measure of angle ∠bac will be 70°.

Hence option C is correct.

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Answer:

70 Degrees

Explanation:

Geometry B E2020!! :3

Answer

100% - double

200% - triple

300% - 4X

For a 300% increase the KE must be 4 time as large

KE2 / KE1 = M V2^2 / M V1^2 = (V1 / V2)^2 = 4

So V2 = 2 V1 for the requested increase

M V2 / M V1 = V2 / V1 = 2

So the momentum would double for a 100% increase

The specific heat capacity of iron is greater than that of lead hence the iron will melt the ice more than the lead.

The specific heat capacity refers to the amount of heat that is required to raise the temperature of 1Kg of a body by 1 K.

We know that the specific heat capacity of iron is greater than that of lead hence the iron will melt the ice more than the lead.

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Answer:

Actually, the correct answer is D. The system releases 75 J of heat, and its volume doubles.

Explanation:

I took this computer-scored test, and while I was stuck on this answer for a while, I was able to get 100%. This was my thought process:

We know that molecular motion increases with an increase in temperature, because collisions increase. For that reason, for molecular motion to decrease in a system, as the question states, the system must RELEASE heat and decrease in temperature.  Additionally, when a system's volume is smaller, its molecular motion increases. This is because the molecules hit the container more easily and more often. If the volume is halved then, the molecules would have MORE motion, which we aren't looking for in this question! Therefore, the volume must DOUBLE so that less molecular motion takes place. The answer is D! :)

Momentum is the rate of increase in speed or decrease in speed after application of force

The formula is given by

p is momentum

m is mass

v is velocity

Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t²,  the instantaneous velocity when t=4 is -75ft/s.

Given that;

First, we determine the derivative of y = 45t - 15t²

y' = (1)45 - (2)15t

y' = 45 - 30t

We substitute in t = 4

y' = 45 - 30t

y' = 45 - 30(4)

y' = 45 - 120

y' = -75ft/s

Given that a ball is thrown into the air and its height in feet after t seconds is given by y = 45t - 15t²,  the instantaneous velocity when t=4 is -75ft/s.

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Answer:

natural is the answer

Friction is a natural force which exist

The formula that can be used to obtain a convergent series is given by;

a/1 – r.

In mathematics, we define a series as sum of numbers which could be convergent or divergent. In a convergent series, the summation of the numbers approaches a given value.

The formula that can be used to obtain a convergent series is given by;

a/1 – r.

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Answer:2140 watts x 6 hours =12.84 kWh. Are you looking for specific type units such as Jules?

Answer:

a single closed path of electrical components including a voltage source

Answer:

The amount of thermal energy needed is 626.6 J

Explanation:

When a certain amount of heat energy Q is supplied to a substance, the temperature of the substance increases according to the equation

where m is the mass of the substance is the specific heat capacity of the substance is the change in temperature

Answer:

642.6 kJ

Explanation:

Using the formula for heat energy required:

[tex]Q = mc \Delta T[/tex] ,

where:

C   → specific heat capacity  =  1.68 kJ/kg°C

Q   → heat energy required  =  ?

m   → mass of the object  =  4.5 kg

ΔT → change in temperature  =  97°C - 12°C  =  85°C,

Q = 4.5  x  1.68  x  85

   = 642.6 kJ

The total angle, in radians, through which a point on the flywheel rotates is 7540 radians

From the question, we are to determine the total angle in radians

Using the formula,

[tex]\omega = \frac{\theta}{t}[/tex]

Where [tex]\omega[/tex] is the angular velocity

[tex]\theta[/tex] is the angle

and t is the time

From the given information,

[tex]\omega = 30 \ rev/s[/tex]

Convert to rad/s

[tex]\omega = 30 \times 2\pi \ rad/s[/tex]

[tex]\omega = 188.496 \ rad/s[/tex]

and t = 40 s

From the formula

[tex]\omega = \frac{\theta}{t}[/tex]

[tex]\theta = \omega t[/tex]

∴ [tex]\theta = 188.496 \times 40[/tex]

θ = 7539.822 rad

θ ≅ 7540 rad

Hence, the total angle, in radians, through which a point on the flywheel rotates is 7540 radians

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Chemical reactions produces new substances and may be a synthesis, decomposition, combustion, replacement, or neutralization reaction.

Chemical reactions are changes which occurs in substances producing changes in the chemical properties of the substance.

The chemical reactions described are as follows:

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Answer:

designing a solution

Explanation:

after knowing & identifying a problem we start putting a solution

Answer:

15.29 kg

Explanation:

F = k * d                  5cm = .05 m

 = 3 x 10^3  n/m     *   .05 m  = 150 N

                                                =  150 kg -m / s^2

150 kg- m / s^2   / 9.81 m/s^2 =15.29kg

Velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common

This is a which have both magnitude and direction. Example include:

This is a quantity which has magnitude but no direction. Example include:

From the above, we can see that velocity, acceleration, force, and displacement, have magnitude and direction (ie vector quantity) in common

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Answer:

D

Explanation:

PCN was discovered in mold

A virtual and erect image is formed by concave mirror.

The focal length of the mirror is the distance between the lens and the image sensor.

It is also defined as the distance from a lens or mirror to the focal point.

It is also stated by the formula

[tex]\frac{1}{y} +\frac{1}{u} = \frac{1}{f}[/tex]

u = -50 cm and f = 0.50 m (50cm)

[tex]\frac{1}{v} +\frac{1}{-50} =\frac{1}{50}[/tex]

v= -50 cm

where - sign shows that image is virtual.

Magnification  m= [tex]\frac{v}{u}[/tex]

m = -50/50

m = 0

hence, virtual and erect image will be formed.

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An example of an object moving in projectile motion is; A basketball being thrown into a net.

Projectile motion is the motion of an object thrown or projected into the air, subject to only the acceleration of gravity.

Now, an example of an object moving in a projectile motion is throwing a basketball into a basketball net in a game. This is because the ball is thrown into the air at an angle towards the net and as such is subject to only acceleration of gravity.

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[tex]\huge\color{Basic}{\boxed{\tt{answer}}}[/tex]

Answer: yes it cannot be 100% efficient

Explanation:

only an ideal machine with 0 friction can have 100 percent efficiency

Answer:

The change in time for the first quarter is  seconds.  = 2.07

The change in time for the second quarter is  seconds.

=1.09

The change in time for the third quarter is  seconds.

=0.95

The change in time for the fourth quarter is  seconds.=0.81

Explanation:

Hope this helped.

Answer:

This process is CONDENSATION

Explanation:

Condensation occurs when water vapour loses some of its kinetic energy to a colder body and changes into liquid state.

Answer:

convex lense

Explanation:

people with hyperopia or hypermetropia are long sighted or farsighted, so what happens here is that light doesn't focus on the surface of the retina but behind it so the picture is moved forward by positioning a convex lense in front of a hypermetropic eye and is correctly centered in the retina.

Answer:

[tex]\fbox {3.6kW}[/tex]

Explanation:

Formula used :

[tex]\boxed {P = F \times v} \leftarrow \rightarrow \boxed {P = \frac{F \times S}{t}}[/tex]

Given :

⇒ F = 6 × 10³ N

⇒ S = 18 m

⇒ t = 30 s

Solving :

⇒ P = 6 × 10³ × 18 / 30

⇒ P = 2 × 100 × 18

⇒ P = 3600 W

⇒ P = 3.6kW

A. The final temperature of the system is 0°C.

B. The amount of ice (if any) remaining is  0.0331 g

C. The initial temperature of the water that would be enough to just barely melt all of the ice is 20.57 °C.

The specific heat is the amount of heat required to change the temperature by 1°C. It is denoted by C.

Heat lost or gained is represented as

Q = m C ΔT

Given, Mass of ice, mice = 9x10⁻² kg, Mass of water, mw =0.35 kg, T = 13 °C

A. If ice is in excess, final water temperature will be 0°C.

B. Specific heat of water Cp = 1000 cal/kg°C

Latent heat of ice L = 80 kcal/kg

In that case, heat lost by water =Heat gain by ice

Q = mCp x dT = mL

0.35 x 1000 x 13 = m x 80 x 1000

m = 0.0569 kg of ice.

The gram of ice remaining = 0.09 - 0.0569

                                             = 0.0331 gram of ice.

Thus,  the amount of ice remaining is 0.0331 g

C. Heat required to melt 90 gram of ice,  Q  mL

Q = 90 x 80 = 7200 cal.

If the initial temperature of water needed = T,

mCp x dT = mL

350 x T = 7200

T = 20.57 °C

Thus,  the initial temperature of the water that would be enough to just barely melt all of the ice is  20.57 °C.

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The acceleration of the plane will be −8 m/s²

How to find the acceleration of a plane?

Acceleration is the rate of change in velocity over time (Δv/t).

Given, that the initial velocity of the plane u=480 m/s

The final velocity of the plane is zero after landing, v= 0 m/s

t= 1 minute= 60 seconds

we know, v=u + at

0= 480 + 60a

a=[tex]\frac{-480}{60}[/tex]  = -8m/s²

Thus, the acceleration of the plane is -8 m/s²

(negative acceleration implies that the object is slowing down)

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The energy input would it take to climb a ladder will be 20000 J.

Mechanical advantage is a measure of the ratio of output force to input force in a system, it is used to obtain the efficiency of the given mechanical machine.

Mechanical advantage is a measure of how much a machine multiplies the input force.

The complete question is;

"if we assume a typical efficiency of 25% for the human body how much energy input would it take to climb a ladder increasing body potential energy by 5000J"

The formula for the efficiency is;

[tex]\rm E = \frac{P}{\eta} \\\\ E = \frac{5000}{0.25} \\\\ E = 20000 \ J[/tex]

Hence, the energy input would it take to climb a ladder will be 20000 J.

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