A person of mass 80kg is standing in a lift of mass 600kg.

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The lift is supported by a cable which is modelled as light and inextensible. The lift is moving upwards and decelerating at 1.8m.s⁻²

a) Find the tension in the lift cable. b) Find the magnitude of the normal reaction exerted by the floor of the lift on the person.

I have attempted this question, and got very close answers to the mark scheme, but I can't figure out why my answer is different.

The correct answers are:

(a) 5576 N (5 marks) (b) 656 N (4 marks)

My attempt

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The so-called correct answers seem to be obtained by taking the acceleration of gravity to be 10 m/sec$^2$ instead of 9.8 m/sec$^2$.