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Answer 1 · 2017-04-07T21:13:04

#a=4.24" "m/s^2, " direction:downward"#

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#"while elevator is stops ,bathroom scale show only the weight of man."#

#G=m*g=691" "N#

#"The tension on cable is the sum of the man's and the elevator's weights."#

#"Tension="G+G_("elevator")#

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#"When the elevator is accelerated downwards, there is an "#
#"inertia force in the reverse direction."#

#"This inertial force reduces the weight on the bathroom scale."#

#"inertial force=691-499=299" "N#

#"Now ,let use the Newton's second law of motion."#

#F=m*a#

#m:"mass of man"#

#a:"acceleration"#

#299=691/(9.81)*a#

#a=(299.9.81)/691#

#a=4.24" "m/s^2#