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DochEvi [55]
2 years ago
6

Magnetic fields within a sunspot can be as strong as 0.4T. (By comparison, the earth's magnetic field is about 1/10,000 as stron

g.) Large sunspots can be as much as 25,000km in radius. The material in a sunspot has a density of about 3×10^−4kg/m3.If 100% of the magnetic field energy stored in a sunspot could be used to eject the sunspot's material away from the sun's surface, at what speed would that material be ejected? (Hint: Calcualte the kinetic energy the magnetic field could supply to 1m^3 of sunspot material.)
Physics
1 answer:
WARRIOR [948]2 years ago
3 0

Answer:

The speed of ejection is 2.06\times 10^{4}\ m/s

Solution:

As per the question:

Magnetic field density, B = 0.4 T

Density of the material in the sunspot, \rho = 3\times 10^{4}\ kg/m^{3}

Now,

To calculate the speed of ejection of the material, v:

The magnetic field energy density is given by:

U_{B} = \frac{B^{2}}{2\mu_{o}}

This energy density equals the kinetic energy supplied by the field.

Thus

KE = U_{B}

\frac{1}{2}mv^{2} = \frac{B^{2}}{2\mu_{o}}

where

m = mass of the sunspot in 1\ m^{3} = 3\times 10^{- 4}\ kg/m^{3}

v = \frac{B}{\sqrt{\mu_{o}m}}

v = \frac{0.4}{\sqrt{4\pi \times 10^{- 7}\times 3\times 10^{- 4}}} = 2.06\times 10^{4}\ m/s

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Consider a space shuttle which has a mass of about 1.0 x 105 kg and circles the Earth at an altitude of about 200.0 km. Calculat
kodGreya [7K]

Answer:

1.6675×10^-16N

Explanation:

The force of gravity that the space shuttle experiences is expressed as;

g = GM/r²

G is the gravitational constant

M is the mass = 1.0 x 10^5 kg

r is the altitude = 200km = 200,000m

Substitute into the formula

g = 6.67×10^-11 × 1.0×10^5/(2×10^5)²

g = 6.67×10^-6/4×10^10

g = 1.6675×10^{-6-10}

g = 1.6675×10^-16N

Hence the force of gravity experienced by the shuttle is 1.6675×10^-16N

7 0
2 years ago
Which force changes the lithosphere by building up the surface?
Sunny_sXe [5.5K]

Answer:

volcanic eruptions

Explanation:

The volcanic eruptions are the ones that manage to cause changes to the lithosphere by building up new material on the surface. Through the volcanic eruptions we have release of pyroclastic material on the surface, and more importantly and in much higher amount lava flows. The lava flows quickly cool off on the surface on the Earth, and as they do they pile up new layers of igneous rocks, thus new crust on the surface of the Earth, causing changes on the lithosphere and shaping it for the foreseeable future.

4 0
2 years ago
Which of Newton's laws accounts for the following statement? "A force cannot act alone." first law second law third law
enot [183]

Newton's laws A force cannot act  alone is the THIRD LAW!

6 0
2 years ago
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A fellow student of mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x,t)=2.30mmcos[(6
Shalnov [3]

Answer:

a. y(x,t)= 2.05 mm cos[( 6.98 rad/m)x + (744 rad/s).

b. third harmonic

c. to calculate frequency , we compare with general wave equation

y(x,t)=Acos(kx+ωt)

from ωt=742t

ω=742

ω=2*pi*f

742/2*pi

f=118.09Hz

Explanation:

A fellow student of mathematical bent tells you that the wave function of a traveling wave on a thin rope is y(x,t)=2.30mmcos[(6.98rad/m)x+(742rad/s)t]. Being more practical-minded, you measure the rope to have a length of 1.35 m and a mass of 3.38 grams. Assume that the ends of the rope are held fixed and that there is both this traveling wave and the reflected wave traveling in the opposite direction.

A) What is the wavefunction y(x,t) for the standing wave that is produced?

B) In which harmonic is the standing wave oscillating?

C) What is the frequency of the fundamental oscillation?

a. y(x,t)= 2.05 mm cos[( 6.98 rad/m)x + (744 rad/s).

b. lambda=2L/n

when comparing the wave equation with the general wave equation , we get the wavelength to be

2*pi*x/lambda=6.98x

lambda=0.9m

we use the equation

lambda=2L/n

n=number of harmonics

L=length of string

0.9=2(1.35)/n

n=2.7/0.9

n=3

third harmonic

c. to calculate frequency , we compare with general wave equation

y(x,t)=Acos(kx+ωt)

from ωt=742t

ω=742

ω=2*pi*f

742/2*pi

f=118.09Hz

8 0
2 years ago
Water evaporates off lakes. Winds blow across the planet. Where does the energy come from for these and other weather processes?
Otrada [13]

Answer:

B. Solar energy

Explanation:

The water cycle is driven primarily by the energy from the sun. This solar energy drives the cycle by evaporating water from the oceans, lakes, rivers, and even the soil. Other water moves from plants to the atmosphere through the process of transpiration.

8 0
2 years ago
Read 2 more answers
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