Physique, lisible pour tous
solution quizz terre lune

Q1

En supposant que le sol de la terre rayonne $<math xmlns="http://www.w3.org/1998/Math/MathML" class="maruku-mathml" display="inline"><semantics><mrow><mn>240</mn><mi>W</mi><mo stretchy="false">/</mo><msup><mi>m</mi> <mn>2</mn></msup></mrow><annotation encoding="application/x-tex">240 W/m^{2}</annotation></semantics></math>$ vers l’espace, calculez quelle puissance totale est émise par la terre (Rayon terre $<math xmlns="http://www.w3.org/1998/Math/MathML" class="maruku-mathml" display="inline"><semantics><mrow><mo>≈</mo><mn>6.4</mn><mo>×</mo><msup><mn>10</mn> <mn>6</mn></msup><mi>m</mi></mrow><annotation encoding="application/x-tex">\approx 6.4\times 10^{6} m</annotation></semantics></math>$ )

soluce

$<math xmlns="http://www.w3.org/1998/Math/MathML" class="maruku-mathml" display="block"><semantics><mrow><mi>P</mi><mo>=</mo><mi>I</mi><mi>A</mi></mrow><annotation encoding="application/x-tex"> P=I A </annotation></semantics></math>$

$<math xmlns="http://www.w3.org/1998/Math/MathML" class="maruku-mathml" display="block"><semantics><mrow><mi>P</mi><mo>=</mo><mn>240</mn><mo>×</mo><mn>4</mn><mi>π</mi><msubsup><mi>r</mi> <mi>terre</mi> <mn>2</mn></msubsup></mrow><annotation encoding="application/x-tex"> P=240 \times 4\pi r_{terre}^{2} </annotation></semantics></math>$

$<math xmlns="http://www.w3.org/1998/Math/MathML" class="maruku-mathml" display="block"><semantics><mrow><mi>P</mi><mo>=</mo><mn>240</mn><mo>×</mo><mn>4</mn><mi>π</mi><mo stretchy="false">(</mo><mn>6.4</mn><mo>×</mo><msup><mn>10</mn> <mn>6</mn></msup><msup><mo stretchy="false">)</mo> <mn>2</mn></msup></mrow><annotation encoding="application/x-tex"> P=240 \times 4\pi (6.4\times 10^{6})^{2} </annotation></semantics></math>$

$<math xmlns="http://www.w3.org/1998/Math/MathML" class="maruku-mathml" display="block"><semantics><mrow><msub><mi>P</mi> <mrow><mi>emise</mi><mspace width="thinmathspace"/><mi>terre</mi></mrow></msub><mo>=</mo><mn>1.2</mn><mo>×</mo><msup><mn>10</mn> <mn>17</mn></msup><mi>W</mi></mrow><annotation encoding="application/x-tex"> P_{emise\, terre}=1.2\times 10^{17}W</annotation></semantics></math>$

Q2

Quelle puissance (émise par la terre) atteint a lune? Voir Séguin pour les dimensions nécessaires.

$<math xmlns="http://www.w3.org/1998/Math/MathML" class="maruku-mathml" display="block"><semantics><mrow><mi>f</mi><mo>=</mo><mfrac><mrow><msub><mi>A</mi> <mrow><mi>disque</mi><mspace width="thinmathspace"/><mi>lunaire</mi></mrow></msub></mrow><mrow><msub><mi>A</mi> <mi>sphere</mi></msub></mrow></mfrac></mrow><annotation encoding="application/x-tex"> f = \frac{A_{disque \,lunaire}}{A_{sphere}}</annotation></semantics></math>$

$<math xmlns="http://www.w3.org/1998/Math/MathML" class="maruku-mathml" display="block"><semantics><mrow><mi>f</mi><mo>=</mo><mfrac><mrow><mi>π</mi><mo stretchy="false">(</mo><mn>1.74</mn><mo>×</mo><msup><mn>10</mn> <mn>6</mn></msup><msup><mo stretchy="false">)</mo> <mn>2</mn></msup></mrow><mrow><mn>4</mn><mi>π</mi><mo stretchy="false">(</mo><mn>3.84</mn><mo>×</mo><msup><mn>10</mn> <mn>8</mn></msup><msup><mo stretchy="false">)</mo> <mn>2</mn></msup></mrow></mfrac></mrow><annotation encoding="application/x-tex"> f = \frac{\pi (1.74\times 10^{6})^{2}}{4\pi (3.84\times 10^{8})^{2}}</annotation></semantics></math>$

$<math xmlns="http://www.w3.org/1998/Math/MathML" class="maruku-mathml" display="block"><semantics><mrow><mi>f</mi><mo>=</mo><mn>5.13</mn><mo>×</mo><msup><mn>10</mn> <mrow><mo lspace="verythinmathspace" rspace="0em">−</mo><mn>6</mn></mrow></msup></mrow><annotation encoding="application/x-tex"> f = 5.13 \times 10^{-6} </annotation></semantics></math>$

$<math xmlns="http://www.w3.org/1998/Math/MathML" class="maruku-mathml" display="block"><semantics><mrow><msub><mi>P</mi> <mrow><mi>recue</mi><mspace width="thinmathspace"/><mi>lune</mi></mrow></msub><mo>=</mo><mi>f</mi><mo>×</mo><msub><mi>P</mi> <mrow><mi>emise</mi><mspace width="thinmathspace"/><mi>terre</mi></mrow></msub><mo>=</mo><mn>6.2</mn><mo>×</mo><msup><mn>10</mn> <mn>11</mn></msup><mi>W</mi></mrow><annotation encoding="application/x-tex"> P_{recue \, lune}= f \times P_{emise\, terre} =6.2\times 10^{11}W</annotation></semantics></math>$

soluce

Created on May 6, 2018 13:42:21 by Anonymous Coward

Physique, lisible pour tous solution quizz terre lune

Q1

soluce

Q2

soluce

Physique, lisible pour tous
solution quizz terre lune