Acar with mass mc and moment of inertia ic travels at velocity vc in a straight line down a
hill with an angle with respect to the horizontal. suddenly, a woodland creature with
mass mw runs out and stops a distance du in front of the car. the driver of the car slams
on the brakes, but the anti-locking mechanism fails, and the driver is forced to skid along
the road, tires sliding across the asphalt with acceleration a. realizing that there is not
enough distance to come to a complete stop, the driver attempts to swerve around the
creature by turning the steering wheel, but still strikes it and begins spinning around itself
with angular velocity o.
a. create a free-body diagram for the car as the driver brakes before the woodland
creature
b. find an expression for the acceleration of the car as the driver brakes in terms of
a, g, and e.
c. find an expression for the coefficient of friction, p, between the tires and the road
as the driver tries to stop the car in terms of a, g, and e.
d. if the driver had not swerved, the car would have hit the woodland creature. in
this scenario, if the car hits the creature for a time t, by how much will the velocity
of the creature change? [your answer should be in terms of g, o, p, and t.]