Physics, 23.10.2019 15:50 rachaelpovosky8

Acar rounds a circular curve of radius 80.0 m banked at 15 to the horizontal at 30.0 m/s. what is the coefficient of friction required for the car not to skid? some hints. first, set the x-axis as horizontal, and the y-axis as vertical (this is different than how we normally handle inclines). second, there will be 3 forces: the normal force (with x- and y- components), the force of gravity (y component only), and friction pointing down the slope (also with x- and y-components)

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Answer from: jazzy2742

μ = 0.673

Explanation:

We must use Newton's second law, where we place a reference system along the horizontal x axis and the vertical Y axis, in this system the only force with components is normal and the force of friction, we will decompose it

sin15 = Nx / N

cos15 = Ny / N

Nx = N sin15

Ny = N cos 15

Note that the force of friction is perpendicular to the normal, therefore, the Angle of 15º is with respect to the axis

sin15 = fry / fr

cos15 = Frx / fr

frx = fr cos15

fry = fr sin 15

Let's write Newton's equations

When the skating car has to leave the curve, the friction force must go towards the center to oppose this movement.

X axis

Nx + frx = ma

Axis y

Ny -fry-W = 0

Let's replace

The acceleration is centripetal and the friction force has a formula

a = v2 / r

fr = μ N

N sin15 + μ N cos15 = m v² / r

N cos 15 - μ Nfr sin 15 = mg

N (sin 15 + μ cos 15) = m v² / r

N (cos 15- μ sin15) = mg

Let's solve the system of equations, let's divide the two

(Sin15 + μ cos 15) / (cos15 - μ sin 15) = v² / rg

(Sin15 + μ cos 15) = v² / rg (cos15 - μ sin 15)

μ cos15 + v² /rg μ sin 15 = v² /rg cos15 -sin 15

μ (v² / rg sin 15 + cos 15) = v² /rg cos15 - sin 15

Let's calculate the values

μ (30² /(80.0 9.8) sin 15 + cos 15) = 30² /(80.0 9.8) cos 15 - sin 15

μ (1,148 sin 15 + cos 15) = 1,148 cos 15 - sin 15

μ (0.2971 + 0.9659) = 1.109 - 0.2588

μ (1,263) = 0.8502

μ = 0.8502 / 1,263

μ = 0.673

Answer from: Quest

current and voltage can both be different in different parts of a circuit so it matters where you place the ammeter and voltmete

Answer from: Quest

Well the magnitude of its acceleration related to that car starts with the oil change like when you have to change the oil in your car you have to make sure that your precious car is starting really propley and very well

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Acar rounds a circular curve of radius 80.0 m banked at 15 to the horizontal at 30.0 m/s. what is th...

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