An elevator and its load have a total mass of 800 kg . The elevator is originally moving downwards at 10 m s - 1 , it slows down to stop with constant acceleration in a distance of 25 m . Find the ten

Question

An elevator and its load have a total mass of 800 kg . The elevator is originally moving downwards at 10 m s - 1 , it slows down to stop with constant acceleration in a distance of 25 m . Find the tension T in the supporting cable while the elevator is being brought to rest. (Take g = 10 m s - 2 )

TestHub · Accepted Answer

As the elevator is going down with decreasing speed, so acceleration is upward duration, Let it is $a$

$T - 800 g = 800 a,$

$T = 800 (g + a)$

From $v^{2} = u^{2} - 2 a s$ ,

$∴ a = 2 m s^{- 2}$

$∴ T = 800 (10 + 2)$ ,

$∴ T = 9600$ N

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