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Ric, mass 117.3 kg, and Sharon, who is lighter, are enjoying Lake Snowden at dusk in a 45.0 kg-canoe. When the canoe is at rest in the placid water, they exchange seats, which are 3.0 m apart and symmetrically located with respect to the canoe's center. Ric notices that the canoe moved 31.1 cm relative to a submerged log during the exchange and calculates Sharon's mass, which she has not told him. What is it?

Answer :

cjmejiab

Answer:

91.0468Kg

Explanation:

We need to find the Torque given in the center of the canoe, so.

We have,

[tex]M_r = 117.3kg\\M_c = 45kg\\M_s = ?\\x=3m\\\Delta x = 0.214m[/tex]

[tex](m_R+m_c+m_s)(\Delta x)(g) = (m_r-m_s)(g)(x)[/tex]

Substituting,

[tex](117.2Kg+45Kg+m_s)(0.311)(9.8) = (117.3-m_s)(3)(9.8)[/tex]

[tex](117.2Kg+45Kg+m_s)(0.311) = (117.3-m_s)(3)[/tex]

[tex]m_s = 91.0468Kg[/tex]

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