An elevator weighing 20 000 N is supported by a steel cable.What is the tension in the cable when the elevator is being accelerated upward at a rate of 3.00 m/s²? (g = 9.80 m/s²) A)6.1E+3 N B)2.0E+4 N C)6.0E+4 N D)2.6E+4 N E)6.7E+3 N

Question

Quizplus · Accepted Answer

The tension in the cable can be found using the equation:

Tension = Weight + (Mass x Acceleration)

where Weight = mg and Mass = Weight / g

Plugging in the given values, we get:

Tension = 20,000 N + [(20,000 N / 9.8 m/s^2) x 3.00 m/s^2]
= 20,000 N + (2040.82 N)
= 22,040.82 N
≈ 2.6 x 10^4 N

Therefore, the best choice is D.

An Elevator Weighing 20 000 N Is Supported by a Steel