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Bad White [126]
3 years ago
5

If an electric wire is allowed to produce a magnetic field no larger than that of the Earth (0.50 x 10-4 T) at a distance of 15

cm from the wire, what is the maximum current the wire can carry? Express your answer using two significant figures.
Physics
1 answer:
ser-zykov [4K]3 years ago
3 0

Answer:

I = 37.5\ A

Explanation:

Given,

Magnetic field,B = 0.5 x 10⁻⁴ T

distance,r= 15 cm = 0.15 m

Current = ?

Using Ampere's law of magnetic field

B = \dfrac{\mu_0I}{2\pi r}

I= \dfrac{B (2\pi r)}{\mu_0}

I= \dfrac{0.5\times 10^{-4}\times (2\pi \times 0.15)}{4\pi \times 10^{-7}}

I = 37.5\ A

Current in the wire is equal to I = 37.5\ A

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100 degrees Celsius
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A satellite in a nearly circular orbit is 2000 km above earth's surface. the radius of earth is approximately 6400 km. if the sa
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Velocity is computed using the formula:

v= \frac{d}{t}
Where:
V = speed
d = distance traveled
t = time/period

First you need to consider that the orbit is circular. To get the measurement or the distance going around Earth, you will need to get the circumference of the path. 

C = 2 \pi r

Where:
C = circumference
π = 3.14
r = radius


The Earth has a radius of 6,400km, but you also need to consider that the satellite is orbiting above the surface of the Earth, so you add in the 2,000km to that radius. 

r = 6,400Km + 2,000Km = 8,400Km

Next step is to insert that into our circumference formula:

C = 2 \pi r
C = 2 \pi 8,400Km
C = 52,778.76 Km

The distance traveled would then be 52,778.76Km

Now that we have the distance, we can then get the velocity:

v= \frac{d}{t}
v= \frac{52,778.76Km}{12hrs}
v= 4,398.23km/hr

The speed of the satellite is 4,398.23km/hr.

7 0
3 years ago
A doctor has a patient blow on one side of a U-shaped tube that is partially filled with water and has a ball floating on the ot
natali 33 [55]

The patient apply pressure to his side of the tube is 15 x 10⁴ N/m². The correct option is D.

<h3>What is pressure?</h3>

The pressure is the amount of force applied per unit area. It is represented as

Pressure p = Force/Area

Given is a doctor has a patient blow on one side of a U-shaped tube that is partially filled with water and has a ball floating on the other side. The ball rises with a force of 150 N. The cross section are of the tube is 0.001 m³

The pressure applied is

p = 150 /0.001

p = 15 x 10⁴ N/m²

Hence, the patient apply pressure to his side of the tube is 15 x 10⁴ N/m².

Learn more about pressure.

brainly.com/question/12971272

#SPJ1

6 0
2 years ago
A spaceship is traveling at 24,000 m/sec. At T=5 sec, the rocket trusts are turned on. At T=55 sec, the spaceship reaches a spee
slava [35]

Answer:

<em>480m/s²</em>

Explanation:

Acceleration is the change in velocity of a body with respect to time;

Acceleration = change in velocity/change in time

change in velocity = 29,500 - 24,000

change in velocity= 5,500

Change in time = 55 - 5

change in time = 50secs

Substitute into the formula;

spaceships acceleration = 24000/50

spaceships acceleration = 480 m/s²

<em>Hence the spaceships acceleration is 480m/s²</em>

8 0
3 years ago
A solid circular plate has a mass of 0.25 kg and a radius of 0.30 m. It starts rolling from rest at the top of a hill 10 m long
KATRIN_1 [288]

To solve the problem it is necessary to apply the equations related to the conservation of both <em>kinetic of rolling objects</em> and potential energy and the moment of inertia.

The net height from the point where it begins to roll with an inclination of 30 degrees would be

h=Lsin30

h=10sin30

h=5m

In the case of Inertia would be given by

I = \frac{mR^2}{2}

In general, given an object of mass m, an effective radius k can be defined for an axis through its center of mass, with such a value that its moment of inertia is

I = mk^2

\frac{mR^2}{2}= mk^2

\frac{k^2}{R^2}=\frac{1}{2}

Replacing in Energy conservation Equation we have that

Potential Energy = Kinetic Energy of Rolling Object

mgh = \frac{1}{2}mv^2(1+\frac{k^2}{r^2})

9.8*5=\frac{1}{2}v^2(1+\frac{1}{2})

v^2 (1.5) = 98

v=8.0829m/s

Therefore the correct answer is C.

3 0
3 years ago
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