Answer:
65.81kg
Explanation:
From a forces diagram of the whole elevator:
[tex]T - (m_w+m_e)*g=(m_w+m_e)*a[/tex] Solving for a we get the acceleration of both the woman and the elevator:
[tex]a=\frac{T-(m_w+m_e)*g}{(m_w+m_e)} =0.95m/s^2[/tex]
Nw, the forces acting on the woman are these:
[tex]N - m_w*g=m_w*a[/tex] Solving for N:
N = 645N (using g=9.8) This value divided by the gravity gives us the reading on the scale:
[tex]Scale = \frac{645N}{9.8m/s^2}=65.81kg[/tex]
