Acar is traveling in uniform circular motion on a section of flat roadway whose radius is . the road is slippery, and the car is just on the verge of sliding off the roadway. if the car’s speed were now doubled, what would be the smallest radius of the curve it could drive on without slipping?

The smallest radius will be four (4) times the initial radius

Explanation:

The car maintains a constant angular speed. According to Newton's Second Law F = m a

1.

2.

Replacing 2 in 1

3.

Where:

Fr= Frictional force

Rp= Initial Radius

An= Centripetal Acceleration

M= Mass

V= Velocity

Also we have that:

4.

μ= Coefficient of friction between the car and the surface

M= Mass

W= Weight

G= Gravity

r is cleared from equation 3

5.

Replacing 4 in 5

6.

Simplifying

7.

Now we have a new velocity equal to twice the initial velocity, We replace it by 2v in equation 7

8.

Computing

9.

Replacing 5 in 9

the total distance that martina travels that day is

(distance from home to mom's office) plus (distance from mom's office to school)

plus (distance from school to library) plus (distance from library to friend's house)

plus (distance from friend's house to martina's house).

(we don't know what any of these distance actually is.)

report!

explanation:

physics means: "the branch of science concerned with the nature and properties of matter and energy. the subject matter of physics, distinguished from that of chemistry and biology, includes mechanics, heat, light and other radiation, sound, electricity, magnetism, and the structure of atoms."