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Las llantas de un automóvil de {masa} kg tienen {diametro} m de diámetro y
los coeficientes de fricción estatico y cinetico con la superficie de la carretera son
$\\mu_s= ${roces} y $\\mu_k =$ {rocek}, respectivamente. Suponiendo que el peso es
distribuido uniformemente en las cuatro ruedas.

", "advice": "

aEn cada rueda, la masa sera $m=\\frac{\\var{masa}}{4}$. Entonces la fuerza de roce $F_r=\\mu_s N=\\mu_s \\frac{m}{4} g=\\var{roces}\\cdot\\frac{\\var{masa}}{4}\\cdot \\var{g}$. Por lo tanto 

\n

$\\tau=\\frac{D}{2} F_r=\\var{diametro}*\\var{roces}*\\frac{\\var{masa}}{4}*\\var{g}$.

\n

\n

b) Es lo mismo de parte a) pero hay que considerar el coeficiente de roce cinético

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Calcule el máximo torque que puede ejercer el motor sobre un rueda motriz sin girar la rueda. Puedes asumir que el automóvil está en reposo.

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Calcule el máximo torque que puede ejercer el motor sobre un rueda motriz si la rueda gira. 

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Encuentre el momentum de los siguientes objetos usando $p= mv$.

", "licence": "Creative Commons Attribution 4.0 International"}, "statement": "

Encuentre la magnitud del momentum, $p$, de los siguientes objetos. Sus resultados deben estar en unidades de $N \\cdot s$

", "advice": "

El momentum $p  = $ mass $\\mathrm{kg} \\ \\times $ velocity $\\mathrm{ms^{-1}}$.

\n

Esto nos entregara el momentum en $N\\cdot s$.

\n

a)

\n

Tenemos

\n

\\begin{align}
p & = \\frac{\\var{mass1}}{1000} \\times \\var{velocity1}, \\\\
&= \\var{precround(kg1*velocity1,3)} \\, \\mathrm{Ns}.
\\end{align}

\n

La magnitud del momentum será $\\var{precround(kg1*velocity1,3)} \\, \\mathrm{Ns}.$

\n

b)

\n

Tenemos

\n

\\begin{align}
p & = (\\var{tonnes1} \\times 1000) \\times \\var{velocity2}, \\\\
& = \\var{precround(tonnes1*1000*velocity2,3)} \\, \\mathrm{Ns}.
\\end{align}

\n

La magnitud del momentum será $\\var{precround(tonnes1*1000*velocity2,3)} \\, \\mathrm{Ns}.$

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masa en gramos

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Una particula de masa $\\var{mass1} \\mathrm{g}$ se mueve a velocidad $\\var{velocity1} \\mathrm{ms^{-1}}$.

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Un camion de masa $\\var{tonnes1} \\ \\mathrm{tonnes}$ se mueve a velocidad $\\var{velocity2} \\mathrm{ms^{-1}}$.

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