Explanation
The second Newton´s law states that the acceleration of an object is dependent upon two variables - the net force acting upon the object and the mass of the object, in other words the acceleration of an object as produced by a net force is directly proportional to the magnitude of the net force
[tex]\begin{gathered} F=ma \\ where\text{ F is the force} \\ m\text{ is the mass} \\ a\text{ is the acceleration} \end{gathered}[/tex]Step 1
Free body diagram
so, in x direction we have
[tex]\begin{gathered} Tension\text{ Force+mg= ma} \\ T=m(g-a) \end{gathered}[/tex]if we assume the elevator moving downwatds, the acceleration is postivive in that direction, so
[tex]\begin{gathered} Temsion\text{ force=ma+mg} \\ tension\text{ force= m\lparen a+g\rparen} \\ \end{gathered}[/tex]c)The downward force of gravity is stronger than the upward tension force.
