A 5-kg block is suspended by a rope from the ceiling of an elevator as the elevator accelerates downward at 3.0 m / s 2 . The tension force of the rope on the block is

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The elevator (and block) accelerate downward at a = 3.0 m/s^2. Taking up as positive for the block:

$T - mg = - ma$

$T = m (g - a) = 5 (9.8 - 3.0) = 34 N$

The tension acts upward on the block, so the tension force of the rope on the block is 34 N, up.

Correct option: (B).

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