A person who weighs 800 N steps onto a scale that is on the floor of an elevator car. If the ele

step 1 Hi everyone here it is given weight of a person is 800 Newton on the weighing machine on the flo

A person who weighs 800 N steps onto a scale that is on the...

A person who weighs 800 $\mathrm{N}$ steps onto a scale that is on the floor of an elevator car. If the elevator accelerates upward at a rate of 5 $\mathrm{m} / \mathrm{s}^{2}$ what will the scale read? what will the scale read?
(A) 400 N
(B) 800 N
(C) 1,000 N
(D) 1,200 N

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Key Concepts

Newton's Second Law

Newton's Second Law of Motion establishes that the net force acting on an object equals the mass of the object multiplied by its acceleration. This principle is fundamental for analyzing situations where objects are subject to additional forces due to acceleration, such as in an elevator, and helps calculate the overall force experienced by an object.

Apparent Weight

Apparent weight is the normal force that a supporting surface, such as a scale, exerts on an object. In accelerating systems, the apparent weight is modified by the acceleration of the system, making it different from the object's true gravitational weight. This concept is essential in understanding measurements in non-static environments.

Non-Inertial Reference Frames

Non-inertial reference frames are frames of reference that are accelerating relative to an inertial frame. In such frames, objects appear to experience additional forces – often called fictitious or inertial forces – that affect measured quantities like apparent weight. Recognizing and accounting for these forces is key when analyzing problems involving acceleration.

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