A man weighing 80 kg gets into an elevator. The elevator starts moving upward with an acceleration of 2 m/s2. What is the reaction force exerted by the floor of the elevator on the man? A) 388 N B) 624 N C) 763 N D) 944 N

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The reaction force exerted by the floor of the elevator on the man is D.944 N

Step-by-step explanation:

When the elevator is accelerating upwards at 2 m/s² there occurs a fictitious force acting downwards to produce a downward acceleration of 2 m/s².

The formula to apply here is ;

Weight due to gravity=mg where m is mass of the man and g is acceleration due to gravity.

Due to additional downward acceleration the total acceleration downwards will be : 9.8+2 = 11.8 m/s²

The man weighs down on the elevator floor with a force of ;

F=m(a+g) where m is mass of man, a is acceleration

F=80( 9.8+2)

F=80(11.8)= 944 N

The reaction force by the floor of the elevator is thus 944 N

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Keywords : elevator, acceleration, moving upwards, reaction force, floor

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