Question

6.1.2.3

a, A curve in a road forms part of a horizontal circle. As a car goes around it at constant speed 14.0 m/s, the horizontal total force on the driver has magnitude 133 N. What is the total horizontal force on the driver if the speed on the same curve is 17.9 m/s instead?

magnitude | N |

direction | ---Select--- inward outward |

b. A space station, in the form of a wheel 101 m in diameter,
rotates to provide an "artificial gravity" of 2.60 m/s^{2}
for persons who walk around on the inner wall of the outer rim.
Find the rate of the wheel's rotation in revolutions per minute
that will produce this effect.

_______ rev/min

c. A crate of eggs is located in the middle of the flat bed of a
pickup truck as the truck negotiates a curve in the flat road. The
curve may be regarded as an arc of a circle of radius 37.8 m. If
the coefficient of static friction between crate and truck is
0.640, how fast can the truck be moving without the crate
sliding?

*v*_{max} = _________ m/s

Answer #1

Centripetal force is proportional to square of the speed. We use this fact to find the new force for the new speed as shown below,

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**This concludes the answers. If there is any mistake or
omission, let me know in the comments immediately and I will fix
it....**

A crate of eggs is located in the middle of the flatbed of a
pickup truck as the truck negotiates a curve in the flat road. The
curve may be regarded as an arc of a circle with a radius of 37.0
m. If the coefficient of friction between crate and flatbed of
truck is .625, how fast can the truck be moving without the crate
sliding?

A BMW is going around a banked curve in the road. It is part of
a circle with radius 125 m . An automobile that goes around the
curve with speed 20 m/s does not require any friction force to not
slip, but this BMW is going around the curve at 38.8 m/s. What's
the smallest value the coefficient of friction (between the tires
of the BMW and the road) that can be without any slipping?
Answer= .64 **But, How?**

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.

1) A Red Car and a Blue Truck are driving down a winding road.
Through the first curve in the road, the Red Car is driving twice
as fast as the Blue Truck. The second curve is half the radius of
the first, which causes the Red Car to slow down to half the speed
of the Blue Truck to drive around the curve. Rank the acceleration
each vehicle experiences in each curve from largest to
smallest.
-blue truck in...

3-A 1.0 kg block slides down an inclined plane of 39
0 from the horizontal. If the
block starts from rest and hits the bottom in 5.1 s,
what is the speed of the block, in the unit m/s, at the bottom of
the incline? Assume a frictionless plane.
4-A bus negotiates a turn of radius 103 m while traveling at a
speed of 92 km/h. If slipping just begins at this speed, what is
the coefficient of static friction between the...

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...

On a horizontal road, a car is traveling West at a constant
speed of 7.60 m/s After 32 s , it has rounded a corner and is now
heading North at a constant speed of 12.9 m/s. What is the
magnitude of the car's average acceleration during this 32 s time
interval?

On a horizontal road, a car is traveling West at a constant
speed of 12.0 m/s. After 52 s, it has rounded a corner and is now
heading North at a constant speed of 22.8 m/s.
What is the magnitude of the car's average acceleration during
this 52 ss time interval?

On a horizontal road, a car is traveling West at a constant
speed of 11.4 m/s . After 16 s , it has rounded a corner and is now
heading North at a constant speed of 16.0 m/s .
What is the magnitude of the car's average acceleration during
this 16 s time interval?
0.29 m/s2
1.2 m/s2
0 m/s2
1.7 m/s2

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...

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