An elevator weighing $6000 k g$ is pulled upward by a cable with an acceleration of $5 m / s^{2}$ . Taking $g$ to be $10 m / s^{2}$ , then the tension in the cable is in $N$

80000

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90000

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9000

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2000

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Solution

The correct option is D $90000$
Mass of elevator $m = 6000 k g$
Acceleration $a = 5 m / s^{2}$
Equation of motion of elevator : $m a = T - m g$
$⟹$ $T = m (a + g)$
Or $T = (6000) (5 + 10) = 90000 N$

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