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A 33.0 kg child named Lindsey runs as fast as she can and jumps onto the outer edge of a merry-go-round. The merry-go-round is initially at rest and has a mass of 78.0 kg and a radius of 2.20 m . Lindsey's linear velocity was 9.00 m/s at the moment she jumped onto the merry-go-round. What is the initial angular momentum of the system?

Respuesta :

Explanation:

It is given that,

Mass of child, m₁ = 33 kg

Mass of the merry - go- round, m₂ = 78 kg

Radius of marry go round, r = 2.2 m

Linear speed, v = 9 m/s

Angular momentum of the system is given by :

[tex]L=(m_1+m_2)vr[/tex]

[tex]L=(33+78)\times 9\times 2.2[/tex]

[tex]L = 2197.8\ kg-m^2/s[/tex]

So, the initial angular momentum of the system is [tex]2197.8\ kg-m^2/s[/tex]. Hence, this is the required solution.

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