An elevator has a mass of 1000 kg. What is the tension force on its cables when it is stationary?

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An elevator has a mass of 1000 kg. What is the tension force on its cables when it is stationary?

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Answer 1 · 2018-06-28T20:00:46

$~ 9810 N$ $~9810N$

Explanation:

$T = m g + m a$ $T = mg + ma$
where $T$ $T$ is tension force,
$m$ $m$ is mass
$g$ $g$ is gravitational field strength
and $a$ $a$ is acceleration.

if an object is stationary, then it has a constant velocity of $0$ $0$ . its constant velocity means that its acceleration $a$ $a$ is also $0$ $0$ .

if $a$ $a$ is $0$ $0$ , then $m a$ $ma$ is also $0$ $0$ .
this leaves us with $T = m g$ $T = mg$ for the elevator when it is stationary,

we are given that the mass $m$ $m$ is $1000 k g$ $1000kg$ .

we can assume that the gravitational field strength meant is that on Earth. for this, we can take an approximate value of $9.81 N / k g$ $9.81 N//kg$ .

$m g$ $mg$ , then, would be $1000 k g \cdot 9.81 N / k g$ $1000kg * 9.81 N//kg$ , which is $9810 N$ $9810N$ .

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An elevator has a mass of 1000 kg. What is the tension force on its cables when it is stationary?

1 Answer

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