Answer:
The correct answer is B.
Explanation:
On the cable, there are two forces that produce the tension of the cable. One force is acceleration and the other is gravity.
First, we must calculate the force exerted by gravity on the elevator:
[tex]F_{g}[/tex] = m * g
[tex]F_{g}[/tex] =3500 kg * 9.81 [tex]\frac{m}{s^{2} }[/tex]
[tex]F_{g}[/tex] = 34335 N
Now we calculate the force exerted by acceleration on the cable:
[tex]F_{a}[/tex] = m * a
[tex]F_{a}[/tex] = 3500 kg * 2 [tex]\frac{m}{s^{2} }[/tex]
[tex]F_{a}[/tex] =7000 N
Finally, we add both forces and thus calculate the tension of the cable because:
∑[tex]F_{y}[/tex] = T - [tex]F_{g}[/tex] = m * a = [tex]F_{a}[/tex]
T= [tex]F_{g}[/tex] + [tex]F_{a}[/tex]
T= 34335 N + 7000 N
T= 41335 N
Have a nice day!
