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Question: An elevator and its load have a total mass of 800 kg. Find the tension in the supporting cable when ...

An elevator and its load have a total mass of 800 kg. Find the tension in the supporting cable when the elevator, moving downward at 10 m/s, is brought to rest with constant acceleration in a distance of 25 m. (Take g = 10 m/s2) :

A

6400 N

B

8000 N

C

9600 N

D

Zero

Answer

9600 N

Explanation

Solution

v2 = u2 + 2as 0 = 100 + 2a(25)

a = –2 m/s2

T = m(g – a) (downwards)