1º BACHILLERATO/FÍSICA/DINÁMICA/FUERZAS EN GENERAL/CUERPOS EN SUPERFICIES Cuerpo en superficie vertical Un cuerpo de #m g está apoyado sobre una superficie vertical. Si el coeficiente de rozamiento es #mu ¿Qué fuerza horizontal, en N, tendremos que ejercer, como mínimo, contra el objeto para que no resbale y caiga? 

]]> 1.0000000 0.3333333 0 0 #f <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>100</mn><mo>,</mo><mn>300</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mu</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>4</mn><mo>,</mo><mn>8</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>=</mo><mi>m</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>/</mo><mo>(</mo><mi>mu</mi><mo>*</mo><mn>1000</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#f</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.01))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Fuerza en cuerpo apoyado (copia) Si ejercemos una fuerza de #fu N sobre el cuerpo A de masa #mas Kg con un ángulo #an º. Calcula:

  1. El valor de la aceleración, en m/s2 con la que se moverá horizontalmente en ausencia de rozamientos.
  2. El valor de la fuerza normal en N
]]> 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1.0000000 0.3333333 0 0 aceleración = #acN = #fn]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fu</mi><mo>=</mo><mo>&nbsp;</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mas</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>ac</mi><mo>=</mo><mi>fu</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>/</mo><mi>mas</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fn</mi><mo>=</mo><mo>(</mo><mi>fu</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>)</mo><mo>+</mo><mo>(</mo><mi>mas</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mi>c</mi><mi mathvariant="normal">e</mi><mi mathvariant="normal">l</mi><mi mathvariant="normal">e</mi><mi>r</mi><mi>a</mi><mi>c</mi><mi mathvariant="normal">i</mi><mi>&#x000F3;</mi><mi>n</mi><mo>&#x000A0;</mo><mo>=</mo><mo>&#x000A0;</mo><mo>#</mo><mi>a</mi><mi>c</mi><mspace linebreak="newline"/><mi mathvariant="normal">N</mi><mo>&#x000A0;</mo><mo>=</mo><mo>&#x000A0;</mo><mo>#</mo><mi>f</mi><mi>n</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g, °, ', &quot;</param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Plano inclinado y fuerza Por un plano inclinado #an º tiramos hacia arriba, con una fuerza paralela al mismo, de una caja de masa #m Kg. Si el coeficiente de rozamiento de la caja con el plano es de #k, calcula la fuerza mínima, en N, que tendremos que ejercer para que ésta siga:

  1. Subiendo con velocidad constante
  2. Bajando con velocidad constante  
]]> 1.0000000 0.3333333 0 0 1.- Subida = #fs2.- Bajada = #fb]]> <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>7</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>peso</mi><mo>=</mo><mi>m</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>px</mi><mo>=</mo><mi>peso</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fr</mi><mo>=</mo><mi>peso</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo><mo>*</mo><mi>k</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fs</mi><mo>=</mo><mi>px</mi><mo>+</mo><mi>fr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fb</mi><mo>=</mo><mi>px</mi><mo>-</mo><mi>fr</mi></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mn>1</mn><mo>.</mo><mo>-</mo><mo>&#xA0;</mo><mi>S</mi><mi>u</mi><mi mathvariant="normal">b</mi><mi mathvariant="normal">i</mi><mi>d</mi><mi>a</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mo>#</mo><mi>f</mi><mi mathvariant="normal">s</mi><mspace linebreak="newline"/><mn>2</mn><mo>.</mo><mo>-</mo><mo>&#xA0;</mo><mi>B</mi><mi>a</mi><mi mathvariant="normal">j</mi><mi>a</mi><mi>d</mi><mi>a</mi><mo>&#xA0;</mo><mo>=</mo><mo>&#xA0;</mo><mo>#</mo><mi>f</mi><mi mathvariant="normal">b</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(--log(0.03))</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="inputCompound">true</data><data name="gradeCompound">distribute</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Sobre una superficie horizontal empujamos una caja Sobre una superficie horizontal empujamos una caja de masa #m Kg con una fuerza de #fe N. Calcula la aceleración de la caja, en m/s2, si el coeficiente de rozamiento es #mu

]]> 1.0000000 0.3333333 0 0 #a <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fe</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>160</mn><mo>,</mo><mn>190</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mu</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>(</mo><mi>fe</mi><mo>/</mo><mi>m</mi><mo>)</mo><mo>-</mo><mo>(</mo><mi>mu</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#a</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">0.02</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Sobre una superficie inclinada empujamos una caja baja(copia) (copia) Sobre una superficie inclinada #an º  queremos frenar la caida de una caja de masa #m Kg con una fuerza de #fe N. Calcula la aceleración de la caja, en m/s2, si el coeficiente de rozamiento es #mu

]]> 1.0000000 0.3333333 0 0 #a <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>60</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fe</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>20</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mu</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>30</mn><mo>,</mo><mn>40</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pt</mi><mo>=</mo><mi>m</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pr</mi><mo>=</mo><mi>m</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>mu</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>(</mo><mi>pt</mi><mo>-</mo><mi>fe</mi><mo>-</mo><mi>pr</mi><mo>)</mo><mo>/</mo><mi>m</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#a</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">0.03</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question> Sobre una superficie inclinada empujamos una caja (copia) Sobre una superficie inclinada #an º hacemos subir una caja de masa #m Kg con una fuerza de #fe N. Calcula la aceleración de la caja, en m/s2, si el coeficiente de rozamiento es #mu

]]> 1.0000000 0.3333333 0 0 #a <question><wirisCasSession><![CDATA[<session lang="es" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="es">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>fe</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>250</mn><mo>,</mo><mn>280</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>mu</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>5</mn><mo>)</mo><mo>/</mo><mn>10</mn><mo>.</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>an</mi><mo>=</mo><mi>aleatorio</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>anr</mi><mo>=</mo><mi>an</mi><mo>*</mo><pi/><mo>/</mo><mn>180</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pt</mi><mo>=</mo><mi>m</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>sin</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>pr</mi><mo>=</mo><mi>m</mi><mo>*</mo><mn>9</mn><mo>.</mo><mn>8</mn><mo>*</mo><mi>mu</mi><mo>*</mo><mi>cos</mi><mo>(</mo><mi>anr</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mo>(</mo><mi>fe</mi><mo>-</mo><mi>pt</mi><mo>-</mo><mi>pr</mi><mo>)</mo><mo>/</mo><mi>m</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#a</correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, °, ', ", $, ¥, €, £, kr, Fr, ₩, ₹, руб, BTC, %, ‰, A, K, mol, cd, rad, sr, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="decimalseparators">., \,</param><param name="unitprefixes">M, k, c, m</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">0.03</option><option name="relative_tolerance">true</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option><option name="answer_parameter">true</option></options><localData><data name="inputField">textField</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession"/></localData></question>