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Cerrena [4.2K]
3 years ago
11

A 170.4-turn circular loop of radius 0.08 meters with a magnetic field B passing through the area bounded by the loop at right a

ngles has an Emf of 0.050 Volts induced around the loop by the rising magnetic field. How fast is the magnetic field rising in tesla per second
Physics
1 answer:
jolli1 [7]3 years ago
8 0

Answer:

The speed of the magnetic field rising is   \frac{\Delta B}{\Delta t}  =0.0147 \ T/s

Explanation:

Mathematically Induced Emf is as follows

             e = - \frac{\Delta B}{\Delta t} *N * Area

The objective of this solution is to obtain speed in Tesla per second which the same as \frac{\Delta B}{\Delta t} since the unit of magnetic field B is Tesla and Time is seconds

             So making  \frac{\Delta B}{\Delta t}  the subject

                          \frac{\Delta B}{\Delta t }  =\frac{Emf}{N*Area}

The \ Area = \pi r^2

               = 3.142 * (0.08)^2

              =0.020m

N is given as 170.4 turns

         Therefore  \  \frac{\Delta B}{\Delta t} = \frac{0.050}{170.4*0.02}

                                  =0.0147 \ T/s

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an aircraft has a liftoff speed of 53 m/s. what is the minimum constant acceleration an airplane must have to reach that takeoff
xxMikexx [17]

Answer:

a=3.34\ m/s^2

Explanation:

<u>Accelerated Motion </u>

It refers to the motion of objects in which velocity is not constant over time. If the change of the velocity occurs at the same rate, then we say it's uniformly accelerated. Being   v_o= initial speed, v_f= final speed, a= constant acceleration, x= distance traveled

Then, the scalar relation between them is

v_f^2=v_o^2+2ax

The aircraft needs to reach a liftoff speed of 53 m/s from rest (assumed) having only 420 meters to do so. We can compute the acceleration by solving for a

\displaystyle a=\frac{v_f^2-v_0^2}{2x}

\displaystyle a=\frac{53^2-0^2}{2(420)}

\boxed{a=3.34\ m/s^2}

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3 years ago
A 10kg box accelerates forward at a rate of 12 m/s^2. What is the force acting on the box?
Allushta [10]

Answer:

120N

Explanation:

Newton's second law formula: F= ma

given that m = 10 kg, a = 12 m/s^2

F = ma = 10 kg * 12 m/s^2 = 120 kgm/s^2 = 120 N

5 0
2 years ago
What are the benefits of the cool-down period following exercise?
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5 0
3 years ago
A 0.5 kg block of aluminum (caluminum=900J/kg⋅∘C) is heated to 200∘C. The block is then quickly placed in an insulated tub of co
Genrish500 [490]

Answer: When 1.0kg of aluminium block is used, the final temperature of the mixture will be T = 36.2∘C

If 1.0kg copper block is used, T of the mixture will be = 17.4∘C

If 100g (0.1kg) of ice at 0∘C is used, T will be = 64.9∘C

If 25g (0.025Kg) of ice is used, T will be= 147.1∘C

Explanation:

H = mcΘ

heat lost by block = heat gained by water

m₁c₁Θ₁ = m₂c₂Θ₂ where m₁ is mass of aluminium, m₂ is mass of water, c₁ is cAluminium, c₂ is cWater, Θ₁ is temperature change for aluminium, Θ₂ is temperature change for water.

0.5*900*(200-20) = m₁*4186*(20-0)

m₁ = 450*180/83270

<em>m₁ = 0.973kg</em>

<em>when 1.0kg of aluminium block is used, the final temperature of the mixture will be </em><em>T</em>

heat lost by block = heat gained by water

1.0*900*(200-T) = 0.973*4186*(T-0)

180000 - 900T = 4073T

4973T = 180000

T = 180000/4973 = 36.2∘C

<em>If 1.0kg copper block is used, T of the mixture will be</em>

heat lost by block = heat gained by water

1.0*387*(200-T) = 0.973*4186*(T-0)

77400 - 387T = 4073T

4460T = 77400

T = 77400/4460 = 17.4∘C

<em>If 100g (0.1kg) of ice at 0∘C is used, T will be</em>

<em>heat lost by block = heat gained by water + heat used in melting ice to form water at 0∘C</em>

heat used in melting 0.1kg of ice, H = ml, where l= 33600J/Kg

0.5*900*(200-T) = 0.1*4186*(T-0) + 0.1*33600J/Kg

90000 - 450T =  418.6T + 33600

418.6T + 450T = 90000 - 33600

868.6T = 56400

T = 56400/868.6 = 64.9∘C

If 25g (0.025Kg) of ice is used, T will be

0.5*900*(200-T) = 0.025*4186*(T-0) + 0.025*33600J/Kg

90000 - 450T =  104.65T + 8400

104.65T + 450T = 90000 - 8400

554.65T = 81600

T = 81600/554.65 = 147.1∘C

7 0
3 years ago
Is my answer correct? Please i need to know
Alexeev081 [22]
Yes. Your answer is correct. I hope you do well on the quiz or whatever it is.
5 0
2 years ago
Read 2 more answers
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