An object is hanging by a string from the ceiling of an elevator. The elevator i

Question

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 in the string is equal to the magnitude of the weight of the object. The magnitude of the tension in the string is greater than the magnitude of the weight of the object. The magnitude of the tension in the string is less than the magnitude of the weight of the object. The tension in the string cannot be determined without knowing the speed of the elevator. The tension in the string is zero.

Explanation / Answer

Use equation,

T-mg= ma

Since elevator is slowing down in moving up Vf<Vi hence acceleration is negative so –a.

T-mg= -ma

T= mg-ma

Gives

T < mg

or

The magnitude of the tension in the string is less than the magnitude of the weight of the object.

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