Weeniedog21
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Two objects, one of mass 17 kg and the other of mass 31 kg approach each other with the lighter one having a speed of 23 m/s. Determine the velocity of the heavier object if the total combined momentum of the objects is zero.​​

Respuesta :

[tex]\bull\sf m_1=17kg[/tex]

[tex]\bull\sf m_2=31kg[/tex]

[tex]\bull\sf v_1=23m/s[/tex]

[tex]\bull\sf v_2=?[/tex]

According to law of conservation of momentum

[tex]\\ \sf\longmapsto \Delta P=P[/tex]

[tex]\\ \sf\longmapsto m_1v_1=m_2v_2[/tex]

[tex]\\ \sf\longmapsto v_2=\dfrac{m_1v_1}{m_2}[/tex]

[tex]\\ \sf\longmapsto v_2=\dfrac{17(23)}{31}[/tex]

[tex]\\ \sf\longmapsto v_2=\dfrac{391}{31}[/tex]

[tex]\\ \sf\longmapsto v_2=12.6m/s[/tex]