Exercise
https://texercises.com/exercise/iron-meteorite/
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The following quantities appear in the problem: Masse \(m\) / Temperatur \(T\) / Energie \(E\) / Wärme \(Q\) / spezifische latente Wärme \(L\) / Wärmekapazität \(c\) /
The following formulas must be used to solve the exercise: \(\sum E_{\scriptscriptstyle\rm tot} \stackrel{!}{=} \sum E_{\scriptscriptstyle\rm tot}' \quad \) \(Q = c \cdot m \cdot \Delta\vartheta \quad \) \(E_{\rm \scriptscriptstyle kin} = \dfrac12 mv^2 \quad \) \(Q = m \cdot L_{\scriptscriptstyle\rm f} \quad \)
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Exercise:
An iron meteorite melts when it enters the Earth's atmosphere. If its initial temperature was -degreeCelsius outside of Earth's atmosphere calculate the minimum velocity the meteorite must have had before it entered Earth's atmosphere. FormelbuchIron melts at degreeCelsius its specific heat is jouleperkilogramperkelvin and its latent heat of fusion .ejouleperkilogram.

Solution:
If the iron meteorite melts it must be heaten up to irons melting po theta_fdegreeCelsius and then be melted. The energy for these two processes comes from the meteorites speed. % EnergieSchritte PGleichungsscEkin Q + ssctilde Qf PGleichungfracmv^ c m Delta theta + msscLf PGleichungfracmv^ c m sscthetaf - theta + msscLf AlgebraSchritte MGleichungmv^ c m sscthetaf - theta + msscLf MGleichungv^ c sscthetaf - theta + sscLf PHYSMATH % The speed is al v sqrtc sscthetaf - theta + sscLf sqrt JpkgK celsius - -celsius + .eJpkg .kilo.
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Exercise:
An iron meteorite melts when it enters the Earth's atmosphere. If its initial temperature was -degreeCelsius outside of Earth's atmosphere calculate the minimum velocity the meteorite must have had before it entered Earth's atmosphere. FormelbuchIron melts at degreeCelsius its specific heat is jouleperkilogramperkelvin and its latent heat of fusion .ejouleperkilogram.

Solution:
If the iron meteorite melts it must be heaten up to irons melting po theta_fdegreeCelsius and then be melted. The energy for these two processes comes from the meteorites speed. % EnergieSchritte PGleichungsscEkin Q + ssctilde Qf PGleichungfracmv^ c m Delta theta + msscLf PGleichungfracmv^ c m sscthetaf - theta + msscLf AlgebraSchritte MGleichungmv^ c m sscthetaf - theta + msscLf MGleichungv^ c sscthetaf - theta + sscLf PHYSMATH % The speed is al v sqrtc sscthetaf - theta + sscLf sqrt JpkgK celsius - -celsius + .eJpkg .kilo.
Contained in these collections:
  1. 13 | 14
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Attributes & Decorations
Branches
Temperatur & Heat, Work, Energy, Power
Tags
atmosphere, earth, energy, friction, heat, iron, kinetic, latent, melt, melting, meteorite, physics, thermodynamics
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Difficulty
(4, default)
Points
2 (default)
Language
ENG (English)
Type
Calculative / Quantity
Creator uz
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Link