You have just joined an exclusive health club, located on the top floor of a sky

Question

You have just joined an exclusive health club, located on the top floor of a skyscraper. You reach the facility by using an express elevator. The elevator has a precision scale installed so that members can weigh themselves before and after their workouts. A member steps into the elevator and gets on the scale before the doors close. The scale shows a weight of 183.7 lb. Then the elevator accelerates upward with an acceleration of 2.43 m/s^2, while the member is still standing on the scale. What is the weight shown by the scale's display while the elevator is accelerating?

Explanation / Answer

So the weight with the acceleration is original weight + mass times the acceleration of the elevator you should convert the acceleration to ft/s^2 a = 2.43m/s^2 = 7.972 ft/s^2 mass = 183.7/32 = 5.74 183.7 + (5.74) x (7.972) = 229.5 lbs

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