Question

8 samuel has an actual weight of 1553 n. when he measures his weight in a moving elevator, he measures an apparent weight of 1615 n. which of the following statements is correct about samuels movement in the elevator? the elevator is accelerating upward. the elevator is moving downward at a constant velocity. the elevator is moving upward at a constant velocity. the elevator is accelerating downward.

Explanation:

Step1: Analyze the relationship between apparent weight and actual weight

When the elevator is accelerating upward, the normal force \(N\) (apparent weight) is greater than the actual weight \(mg\). Using Newton's second law \(N - mg=ma\) (where \(a\) is the acceleration of the elevator). Given \(mg = 1553N\) and \(N=1615N\), since \(N>mg\), there is a net upward force.

Step2: Analyze other cases

• If the elevator is moving at a constant velocity (upward or downward), by Newton's first law, \(N = mg\).
• If the elevator is accelerating downward, \(mg - N=ma\), so \(N

Answer:

The elevator is accelerating upward.