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Part

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A

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A
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good
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roller
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coaster
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wreaks
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havoc
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with
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the
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riders
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apparent
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weight
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.
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Calculate
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the
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magnitude
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of
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the
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force
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exerted
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by
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their
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seat
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on
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a
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rider
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with
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a
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(regular)
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weight
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of
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700
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N
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at
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the
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points
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labeled
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A-F
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in
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the
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picture
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below,
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assuming
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the
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coaster
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starts
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from
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rest
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at
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the
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top
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of
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the
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first
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hill
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and
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that
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the
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coaster
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is
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frictionless.
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(Recall
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that
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this
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seat
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force
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will
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give
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an
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idea
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of
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how
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"heavy"
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the
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rider
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feels
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at
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each
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point
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in
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the
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ride.)
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For
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Part
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A,
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use
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the
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values:
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h₁
h₂
h₃
r₁
r₂
r₃
System: Rider as point particle.
Interactions: The conservative influence from the earth (gravity) will be assigned a potential energy for this problem. The seat's influence (normal force) is the only non-conservative force, but since the rider travels with velocity always parallel to the track, the normal force is always perpendicular to the path and does zero work, and so we will neglect it when using the Mechanical Energy and Non-Conservative Work model. The normal force will be relevant for the dynamics of the car (we are asked to find it!).
Models: Uniform Circular Motion, Point Particle Dynamics and Mechanical Energy and Non-Conservative Work.
Approach: