The tension in a string from which a 4.0-kg object is suspended in an elevator is equal to 44 N. What is the acceleration of the elevator? A) 11 m/s² upward B) 1.2 m/s² upward C) 1.2 m/s² downward D) 10 m/s² upward E) 2.4 m/s² downward

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Quizplus · Accepted Answer

The tension in the string (T) is given by the equation T = mg + ma, where m is the mass of the object, g is the acceleration due to gravity (9.8 m/s^2), and a is the acceleration of the elevator. Rearranging for a gives a = (T/m) - g. Substituting the given values, a = (44N / 4.0kg) - 9.8 m/s^2 = 11 m/s^2 - 9.8 m/s^2 = 1.2 m/s^2 upward.

The Tension in a String from Which a 4