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A hovering mosquito is hit by a raindrop that is 50 times as massive and falling at 8.1 m/s , a typical raindrop speed. how fast is the raindrop, with the attached mosquito, falling immediately afterward if the collision is perfectly inelastic?

Respuesta :

here we will use the momentum conservation

initial total momentum = final total momentum

[tex]P_i = P_f[/tex]

[tex]m_1v_{1i} + m_2v_{2i} = m_1v_{1f} + m_2v_{2f}[/tex]

now plug in all data here

[tex]m(0) + 50m(8.1) = mv + 50mv[/tex]

[tex]405 = 51 v[/tex]

[tex]v = 7.94 m/s[/tex]

so the final speed will be 7.94 m/s

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