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Tyrone, an 85-kg teenager, runs off the end of a horizontal pier and lands on a free-floating 130-kg raft that was initially at rest. After he lands on the raft, the raft, with him on it, moves away from the pier at 1.6 m/s. What was Tyrone's speed as he ran off the end of the pier?

Respuesta :

Answer:u=4.04 m/s

Explanation:

Given

Mass m=85 kg

mass of Raft M=130 kg

velocity of raft and man  v=1.6 m/s

Let initial speed of Tyrone is u

Conserving Momentum as there is no external Force

[tex]mu=(M+m)v[/tex]

[tex]85\times u=(85+130)\cdot 1.6[/tex]

[tex]u=\frac{215}{85}\cdot 1.6[/tex]

[tex]u=2.529\cdot 1.6=4.04 m/s[/tex]