Question

A 1000-kg car is traveling around a curve having a radius of 100 m that is banked at an angle of 15.0°. If 30m/s is the maximum speed this car can make the curve without sliding, what is the coefficient of friction between the road and the tires?

Answer #1

Here we apply concept of circular motion and Newton's laws of motion.

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...

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 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...

A curve of radius 30 m is banked so that a 950-kg car traveling
at 25 miles per hour can round it even if the road is so icy that
the coefficient of static friction is approximately zero. You are
commissioned to tell the local police the range of speeds at which
a car can travel around this curve without skidding. Neglect the
effects of air drag and rolling friction. If the coefficient of
static friction between the snowy road...

A curve at a racetrack has a radius of 600 m and is banked at an
angle of 7.0 degrees. On a rainy day, the coefficient of friction
between the cars' tires and the track is 0.50. Part A. What is the
maximum speed at which a car could go around this curve without
slipping? Give answer as vmax= and m/s

A car merges onto the freeway on a banked curve. The car
maintains a constant velocity 푣 while driving on the curve, which
is banked at angle theta and has a radius of curvature R. The car
has mass m and the coefficient of static friction between the car’s
tires and the road is meu(s). What is the maximum and minimum speed
that the car can go around the banked curve without slipping? Hint:
The car tends to slip up...

A road with a radius of 75.0 m is banked so that a car can
navigate the curve at a speed of 15.0 m/s without any friction. If
the banking angle is reduced to zero when a car is going 20.0 m/s
on this curve, what minimum coefficient of static friction is
needed if the car is to navigate the curve without slipping?

A 1000 kg car rounds curve of radius 75 m banked at an angle of
15 degree, if the car is traveling at 100 km/h, will a friction
force be required? If so, how much and what direction?

A car has a velocity of 40.0 m/s and a mass of 2000.0 kg. A
curve has a radius of 80.0 m. The curve has a bank angle of 30.0
degrees. The coefficient of friction between the tires and the road
is 0.92. Would the car have enough Fc to make it around the
curve?

4) Consider a car traveling with speed around a curve of
radius r . a) Derive an equation that best expresses the angle ()
at which a road should be banked so that no friction is required.
b) If the speed signpost says 42 mile/h, and the angle of the bank
is 18°, what is the radius (r) of the curve. (2 points)
You must show how tan is derived mathematically.

ADVERTISEMENT

Get Answers For Free

Most questions answered within 1 hours.

ADVERTISEMENT

asked 3 minutes ago

asked 22 minutes ago

asked 22 minutes ago

asked 28 minutes ago

asked 36 minutes ago

asked 39 minutes ago

asked 40 minutes ago

asked 40 minutes ago

asked 42 minutes ago

asked 43 minutes ago

asked 43 minutes ago

asked 46 minutes ago