Question

The friction between the tires of a car and a flat road provides
the centripetal force for a

turn. For a 1800 kg car travelling at 25 m/s on a curve of radius
100 m:

a. Calculate the normal force on the car from the road.

b. Calculate the centripetal force required to turn the car
safely.

c. Calculate the minimum coefficient of static friction between the
tires and road for the car

to turn safely.

d. Ice on the road reduces the coefficient of friction to 0.09.
What is the maximum speed of

the car to turn safely?

Answer #1

a 900kg car moving on a flat, horizontal road negotiates a curve
whose radius is 500m. If the coefficient of static friction between
the tires and the dry pavement is 0.523, find the maximum speed the
car can have to make the turn successfully.

1A) A car turning in a circle is acceleratring in the
centripetal direction, even if the speed is constant. This
centripetal acceleration is the cause of a radially inward directed
net force. On a level road this net force is the friction force
acting from the road on the tires. You already looked at examples
for this.
Find an expression for the speed at which a car can negotiate
the turn without any friction in the radial direction (f=0).
Calculate...

1) You are making a circular turn in your car on a horizontal
road when you hit a big patch of ice, causing the force of friction
between the tires and the road to become zero. While the car is on
the ice, itA) moves along a straight-line path away from the center of the
circle.B) moves along a straight-line path toward the center of the
circle.C) moves along a straight-line path in its original
direction.D) continues to follow a...

A car rounds a 50 meter radius curve that is banked such that a
car rounding it does not need friction at a speed of 12 m/s. What
is the bank angle of the road?
The coefficient of kinetic friction between the tires and the
road is 0.5 and the coefficient of static friction between the
tires and the road is 0.8. If the same road were flat (instead of
banked), determine the maximum speed with which the coar could...

Calculate the centripetal force exerted on a 900kg car that
rounds a 600m radius curve on horizontal ground at 25.0m/s. 2.
Static friction prevents the car from slipping. Find the magnitude
of the frictional force between the tires and the road that allows
the car to round the curve without sliding off in a straight
line.
A. 37.5N, Force of friction is the same as the centripetal
force.
B. 864N, Force of friction is the same as the centripetal
force...

On an icy winter day, the coefficient of friction between the
tires of a car and a roadway is reduced to 1/4 its value on a dry
day. As a result, the maximum speed vmax dry at
which the car can safely negotiate a curve of radius R is
reduced. The new value for this speed is what percentage of its
value on a dry day?

An 800-kg race car can drive around an unbanked turn with
coefficient of static friction between the track and the car's
tires of 0.02. The turn has a radius of curvature of 150 m. Air
flowing over the car's wing exerts a downward-pointing force of 10
000 N on the car. Calculate the maximum speed without slipping.

A sports car with a mass of 1140 kg is rounding a flat, unbanked
curve of radius 524 m at a constant speed of 60 m/s . If the car
does not skid, what is the static frictional force between the
tires and the road?
2610 N
7830 N
8190 N
1570 N

1) A car is traveling around a circular portion of road banked
at an incline of 20 degrees to the horizonal. If the radius of the
turn is 75 m and the coefficient of static friction is 0.75 A) What
is the maximum speed the car can take the turn without losing
traction? B) At what speed would the static friction be zero?

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.

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