•• P50 By weight we usually mean the gravitational force exerted on an object by the Earth. However, when you sit in a chair your own perception of your own weight is based on the contact force the chair exerts upward on your rear end rather than on the gravitational force. The smaller this contact force is, the less weight you perceive, and if the contact force is zero, you feel peculiar and "weightless" (an odd word to describe a situation when the only force acting on you is the gravitational force exerted by the Earth!). Also, in this condition pressure on your inner ear is released, which affects your sense of balance, and your internal organs no longer press on each other, all of which contributes to the odd sensation in your stomach. (a) How fast must a roller coaster car go over the top of a circular arc for you to feel "weightless"? The center of the car moves along a circular arc of radius R (see Figure 5.81). Include a carefully labeled force diagram. Figure 5.81 (b) How fast must a roller coaster car go through a circular dip for you to feel three times as "heavy" as usual, due to the upward force of the seat on your bottom being three times as large as usual? The center of the car moves along a circular arc of radius R (see Figure 5.82). Include a carefully labeled force diagram.
•• P50 By weight we usually mean the gravitational force exerted on an object by the Earth. However, when you sit in a chair your own perception of your own weight is based on the contact force the chair exerts upward on your rear end rather than on the gravitational force. The smaller this contact force is, the less weight you perceive, and if the contact force is zero, you feel peculiar and "weightless" (an odd word to describe a situation when the only force acting on you is the gravitational force exerted by the Earth!). Also, in this condition pressure on your inner ear is released, which affects your sense of balance, and your internal organs no longer press on each other, all of which contributes to the odd sensation in your stomach. (a) How fast must a roller coaster car go over the top of a circular arc for you to feel "weightless"? The center of the car moves along a circular arc of radius R (see Figure 5.81). Include a carefully labeled force diagram. Figure 5.81 (b) How fast must a roller coaster car go through a circular dip for you to feel three times as "heavy" as usual, due to the upward force of the seat on your bottom being three times as large as usual? The center of the car moves along a circular arc of radius R (see Figure 5.82). Include a carefully labeled force diagram.
College Physics
1st Edition
ISBN:9781938168000
Author:Paul Peter Urone, Roger Hinrichs
Publisher:Paul Peter Urone, Roger Hinrichs
Chapter8: Linear Momentum And Collisions
Section: Chapter Questions
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Transcribed Image Text:•• P50 By weight we usually mean the gravitational force exerted on an object by the Earth. However, when you sit in a chair
your own perception of your own weight is based on the contact force the chair exerts upward on your rear end rather than on
the gravitational force. The smaller this contact force is, the less weight you perceive, and if the contact force is zero, you feel
peculiar and "weightless" (an odd word to describe a situation when the only force acting on you is the gravitational force
exerted by the Earth!). Also, in this condition pressure on your inner ear is released, which affects your sense of balance, and
your internal organs no longer press on each other, all of which contributes to the odd sensation in your stomach. (a) How fast
must a roller coaster car go over the top of a circular arc for you to feel "weightless"? The center of the car moves along a
circular arc of radius R (see Figure 5.81). Include a carefully labeled force diagram.
Figure 5.81
(b) How fast must a roller coaster car go through a circular dip for you to feel three times as "heavy" as usual, due to the upward
force of the seat on your bottom being three times as large as usual? The center of the car moves along a circular arc of radius
R (see Figure 5.82). Include a carefully labeled force diagram.
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