Question

an object of mass m is hanging by a string from the roof of an elevator. the elevator is moving upward and slowing down. what is the tension in the string? multiple choice less than mg depends on the speed of the elevator greater than mg equal to mg

Explanation:

Step1: Analyze acceleration direction

The elevator moves upward and slows down, so acceleration \(a\) is downward.

Step2: Apply Newton's second law

For the object, forces are tension \(T\) upward and weight \(mg\) downward. By \(F_{net}=ma\), we have \(mg - T = ma\) (since net force is downward, \(mg>T\)).

Step3: Solve for tension

Rearrange \(mg - T = ma\) to \(T = mg - ma\), so \(T

Answer:

less than mg