14. Consider the motion of an elevator as it moves upwards between two floors of a building. The elevator's motion can be divided into three stages. During stage 1, the elevator starts at rest, but uniformly accelerates until it reaches a maximum speed of 1.2 m/s in a time of 0.8 s. During stage 2, the elevator travels with a constant speed of 1.2 m/s for a time of 5 s. During stage 3, the elevator uniformly decelerates until it comes to rest in a time of 1.5 s. Suppose a 72-kilogram man is standing in the elevator. a) Calculate the normal force exerted by the elevator floor on the man during each stage of the elevator’s motion. b) Suppose the man is standing on a spring scale placed on the floor of the elevator. What mass would the scale register during each stage of the elevator's motion? Hint: The spring scale is similar to the bathroom scales you may use to measure your weight at home. These scales actually measure the normal force on your body. Under ordinary circumstances, the normal force on your body is equal in magnitude to the weight of your body. However, in an elevator that is accelerating, this is no longer true.

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Chapter1: Units, Trigonometry. And Vectors
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14. Consider the motion of an elevator as it moves upwards between two floors of a building.
The elevator's motion can be divided into three stages. During stage 1, the elevator starts
at rest, but uniformly accelerates until it reaches a maximum speed of 1.2 m/s in a time
of 0.8 s. During stage 2, the elevator travels with a constant speed of 1.2 m/s for a time
of 5 s. During stage 3, the elevator uniformly decelerates until it comes to rest in a time
of 1.5 s. Suppose a 72-kilogram man is standing in the elevator. a) Calculate the normal
force exerted by the elevator floor on the man during each stage of the elevator’s motion.
b) Suppose the man is standing on a spring scale placed on the floor of the elevator. What
mass would the scale register during each stage of the elevator's motion?
Hint: The spring scale is similar to the bathroom scales you may use to measure your
weight at home. These scales actually measure the normal force on your body. Under
ordinary circumstances, the normal force on your body is equal in magnitude to the
weight of your body. However, in an elevator that is accelerating, this is no longer true.
Transcribed Image Text:14. Consider the motion of an elevator as it moves upwards between two floors of a building. The elevator's motion can be divided into three stages. During stage 1, the elevator starts at rest, but uniformly accelerates until it reaches a maximum speed of 1.2 m/s in a time of 0.8 s. During stage 2, the elevator travels with a constant speed of 1.2 m/s for a time of 5 s. During stage 3, the elevator uniformly decelerates until it comes to rest in a time of 1.5 s. Suppose a 72-kilogram man is standing in the elevator. a) Calculate the normal force exerted by the elevator floor on the man during each stage of the elevator’s motion. b) Suppose the man is standing on a spring scale placed on the floor of the elevator. What mass would the scale register during each stage of the elevator's motion? Hint: The spring scale is similar to the bathroom scales you may use to measure your weight at home. These scales actually measure the normal force on your body. Under ordinary circumstances, the normal force on your body is equal in magnitude to the weight of your body. However, in an elevator that is accelerating, this is no longer true.
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