Answer:
acceleration = 1.79 m/s^2
Tension = 6817 N
Explanation:
First let's find Elizabeth's weight:
[tex]P = m*g = 56.1 * 9.81 = 550.34\ N[/tex]
Her weight is greater than the normal force (N = 450 N), so the elevator is going downwards.
The acceleration of Elizabeth is given by:
[tex]P - N = m*a[/tex]
Where P is the weight of Elisabeth, N is her normal force, m is her mass and a is the acceleration. Then, we have that:
[tex]56.1*9.81 - 450 = 56.1*a[/tex]
[tex]a = 100.34 / 56.1 = 1.79\ m/s^2[/tex]
The tension in the cable is given by:
[tex]P - T = m*a[/tex]
In this case, we use the total mass, so we have:
[tex]850*9.81 - T = 850*1.79[/tex]
[tex]T = 850 * 8.02 = 6817\ N[/tex]
