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A

Anonymous

Oct 22, 2024

Physics: A cardboard box rests on the floor of an elevator. The box has a mass m = 2.5 kg and the elevator has an upward acceleration of a.?

A cardboard box rests on the floor of an elevator. The box has a mass of m = 2.5 kg, and the elevator is accelerating upward with an acceleration of a.

A) Write an expression for the sum of the forces acting on the box in the y-direction, ΣFy, considering that upward is the positive y-direction. Your answer should be in terms of the normal force (FN), the mass (m), and the acceleration due to gravity (g).

B) Write an expression for the normal force (FN) that the box experiences, in terms of the elevator's acceleration, the box's mass, and the acceleration due to gravity.

C) If the elevator's acceleration has a magnitude equal to g in the downward direction, what would the normal force (FN1) be in Newtons?

D) If the elevator's acceleration has a magnitude equal to g in the upward direction, what would the normal force (FN2) be in Newtons?

Thank you very much!

1 Answers

A
Anonymous

Jan 30, 2025

A) FN - mg

B) m a = FN - mg

FN = ma + mg

FN= m(g+a)

C) a = -g => FN1=0 N

D) a = g

FN2 = m(g+g) = 2mg

= 2*2.5 kg*9.8N/kg = 49N

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