A lamp hangs vertically from a cord in a descending elevator that decelerates at `2.4" m"//"s"^(2)`. (a) If the tension in the cord is 93 N, what is the lamp's mass? (b) What is the cord's tension when the elevator ascends with an upward acceleration of `2.4" m"//"s"^(2)` ?

Explanation

To solve the problem step by step, we will break it down into two parts as given in the question.

### Part (a): Finding the Lamp's Mass

1. **Understanding the Forces**:
In a descending elevator that decelerates, the effective acceleration acting on the lamp will be upward. The tension (T) in the cord is acting upward, and the weight (mg) of the lamp is acting downward.

2. **Setting up the Equation**:
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