An object is hanging by a string from the ceiling of an elevator. the elevator is slowing down while moving upward.

what is the magnitude of the tension in the string?

The magnitude of the tension is less than the object's weight

Explanation:

As per the question:

From Fig. 1

The forces and the acceleration are shown in the figure

Since, the elevator slows down in its upward motion, this means that the final velocity is less than the initial velocity and the elevator decelerates.

Therefore, we take the acceleration as negative, '- a'.

Thus

Balancing the forces:

T - mg = m(- a)

T = mg - ma = m(g - a)

Thus it clearly shows T < mg

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answer; how far out of place which the object finished relative to the starting location;