Question

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?

Answer #1

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 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?

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...

An auto mobile traveling at 60 mph rounds a curve banked at 10
degrees. The radius of the curve is 200 ft. (a) What is the minimum
coefficient of friction that will keep the car on the road? (b)
What would the bank angle need to be in order for the car to stay
on the road without any friction?

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 of radius 90 m is banked for a design speed of 80 km/h.
If the coefficient of static friction is 0.30 (wet pavement), at
what range of speeds can a car safely make the curve?
Minimum- ? km/h
Maximum - ? km/h

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?

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.

A race car rounds a curve at 53 m/s. The radius of the curve is
410 m, and the car's mass is 675 kg. (Assume the car's speed
remains constant. Take the radially inward direction to be
positive. Indicate the direction with the sign of your answer.
(a) What is the car's (centripetal) acceleration?
(b) What is it in g's? (enter value to 3 decimal places)
(c) What is the centripetal force acting on the car?

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