Question

If a car takes a banked curve at less than the ideal speed, friction is needed to keep it from sliding toward the inside of the curve (a real problem on icy mountain roads).

(a) Calculate the ideal speed to take a 125-m radius curve
banked at 14.0°.

Did you draw a free body diagram and label all forces acting on a
vehicle? km/h

(b) What is the minimum coefficient of friction needed for a
frightened driver to take the same curve at 25.0 km/h?

Identify the force that supplies the centripetal force needed to
keep a vehicle in this circular path.

Answer #1

If a car takes a banked curve at less than the ideal speed,
friction is needed to keep it from sliding toward the inside of the
curve (a real problem on icy mountain roads). (a) Calculate the
ideal speed to take a 105 m radius curve banked at 15°. Correct:
Your answer is correct. m/s (b) What is the minimum coefficient of
friction needed for a frightened driver to take the same curve at
30.0 km/h?

Highway curves are often banked to reduce a vehicle’s reliance
on friction when negotiating the turn: On a banked curve, there is
a centripetal component of normal force acting on the vehicle.When
the angle and speed are such that friction plays no role in a
vehicle’s motion in the curve, the nature of the road surface is
immaterial and thus the posted speed limit applies in both wet and
dry weather. Suppose the posted speed limit is 100 km/h on...

A race-car driver is driving her car at a record-breaking speed
of 225 km/h. The first turn on the course is banked at 15, and the
car’s mass is 1450 kg.
find :
a) Calculate the radius
of curvature for this turn.
b) Calculate the
centripetal acceleration of the car.
c) If the car
maintains a circular track around the curve (does not move up or
down the bank), what is the magnitude of the force of static
friction?...

A curve of radius 20 m is banked so that a 1100 kg car traveling
at 30 km/h can round it even if the road is so icy that the
coefficient of static friction is approximately zero. The
acceleration of gravity is 9.81 m/s 2 .
Find the minimum speed at which a car can travel around this
curve without skidding if the coefficient of static friction
between the road and the tires is 0.3. Answer in units of m/s.

A curve of radius 20 m is banked so that a 1000 kg car traveling
at 60 km/h can round it even if the road is so icy that the
coefficient of static friction is approximately zero. The
acceleration of gravity is 9.81 m/s 2 . ? Find the minimum speed at
which a car can travel around this curve without skidding if the
coefficient of static friction between the road and the tires is
0.2. Answer in units of...

ch 6
1:
It is generally a good idea to gain an understanding of the
"size" of units. Consider the objects and calculate the kinetic
energy of each one.
A ladybug weighing 37.3 mg
flies by your head at 3.83 km/h
.
×10
J
A 7.15 kg
bowling ball slides (not rolls) down an alley at 17.5 km/h
.
J
A car weighing 1260 kg
moves at a speed of 49.5 km/h.
5:
The graph shows the ?-directed force
??...

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