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A standard bathroom scale is placed on an elevator. A 25 kg boy enters the elevator on the first floor and steps on the scale. What will the scale read (in newtons) when the elevator begins to accelerate upward at 0.4 m/s2? Express your answer in newtons.

Respuesta :

Answer:

F = 255 N

Explanation:

It is given that,

Mass of the boy, m = 25 kg

Acceleration of the elevator, [tex]a=0.4\ m/s^2[/tex]

The elevator is accelerating in upward direction. The net force acting on the boy is given by :

[tex]F=mg+ma[/tex]

g is the acceleration due to gravity

[tex]F=m(g+a)[/tex]

[tex]F=25\times (9.8+0.4)[/tex]

F = 255 N

The scale reading is 255 N as it begins to accelerate upward. hence, this is the required solution.