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117.
CONCEPT QUESTIONS
a. As the drawing shows, the normal force
F
N
points
perpendicular to the hill, while the weight
W
points vertically
down. Since the car does not leave the surface of the hill, the
magnitude of the perpendicular component of the weight
W
cos
θ
must equal the magnitude of the normal force, so
F
N
=
W
cos
. Thus, the magnitude of the normal force is less
than the magnitude of the weight.
b.
As the hill becomes steeper,
increases, and cos
decreases. Consequently, the
normal force decreases as the hill becomes steeper.
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This note was uploaded on 01/29/2010 for the course CALC 01:640:135 taught by Professor Soffer during the Spring '08 term at Rutgers.
 Spring '08
 SOFFER

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