Question

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 1

91.0468Kg

Step-by-step explanation:

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

We have,

`M_r = 117.3kg\\M_c = 45kg\\M_s = ?\\x=3m\\\Delta x = 0.214m`

`(m_R+m_c+m_s)(\Delta x)(g) = (m_r-m_s)(g)(x)`

Substituting,

`(117.2Kg+45Kg+m_s)(0.311)(9.8) = (117.3-m_s)(3)(9.8)`

`(117.2Kg+45Kg+m_s)(0.311) = (117.3-m_s)(3)`

`m_s = 91.0468Kg`