The tension in the cable that supports the elevator is 19,125 Newton's.
The formula to be used for calculation is -
T = m(g - a), where T refers to tension, m is mass, g is acceleration due to gravity and a is acceleration. Taking value of g as 10 m/s². Keep the values to find the tension in the cable -
T = 2250 (10 - 1.5)
Performing subtraction on Right Hand Side of the equation
T = 2250 × 8.5
Performing multiplication on Right Hand Side of the equation
T = 19,125 N
Hence, the tension is 19,125 Newton's.
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