In a science fiction novel two enemies, Bonzo and Ender, are fighting in outer spce. From stationary positions, they push against each other. Bonzo flies off with a velocity of +2.2 m/s, while Ender recoils with a velocity of -2.6 m/s. Determine the ratio mBonzo/mEnder of the masses of these two enemies.

Respuesta :

Answer:

[tex]\frac{m_B}{m_E}=1.18[/tex]

Explanation:

[tex]m_B[/tex] = Mass of Bonzo

[tex]m_E[/tex] = Mass of Ender

[tex]u_B[/tex] = Initial Velocity of Bonzo = 2.2 m/s

[tex]u_E[/tex] = Initial Velocity of Ender = -2.6 m/s

From conservation of linear momentum

[tex]m_Bu_B=m_Eu_E\\\Rightarrow \frac{m_B}{m_E}=\frac{u_E}{u_B}\\\Rightarrow \frac{m_B}{m_E}=\frac{2.6}{2.2}\\\Rightarrow \frac{m_B}{m_E}=1.18[/tex]

[tex]\therefore \frac{m_B}{m_E}=1.18[/tex]