A highway curve with radius R = 274 m is to be banked so that a car traveling v = 25.0 m/s will not skid sideways even in the absence of friction. At what angle should the curve be banked?

The curve should be banked at 13.1°

Step-by-step explanation:

The free body diagram for the car on the road is shown in the image attached to this solution.

ΣFₓ = 0, ΣFᵧ = 0,

The forces in the x-direction include the Nₓ (x-component of the Normal Reaction of the road on the car) and the (mv²/r) force keeping it in circular motion.

Nₓ = N sin θ and mv²/r

The forces in the y-direction include the Nᵧ (y-component of the normal reaction of the road on the car) and the weight of the car, mg

Nᵧ = N cos θ and mg

Putting the equations together,

N sin θ = mv²/r (eqn 1)

N cos θ = mg (eqn 2)

Divide (eqn 1) by (eqn 2)

(N sin θ)/(N cos θ) = (mv²/r)/(mg)

tan θ = v²/gr

v = 25 m/s

r = 274 m

Tan θ = 25²/(9.8 × 274) = 0.2328

θ = Tan⁻¹ (0.2328) = 13.1°

i think the correct option is the second option.

the answer is: d) o, f, and kr.

atomic radius of bromine (br) is 114 pm.

atomic radius of oxygen (o) is 73 pm.

atomic radius of fluorine (f) is 72 pm.

atomic radius of krypron (kr) is 112 pm.

the atomic radius of a chemical element is a measure of the size of its atom.

the atomic radius varies with increasing atomic number, but usually increases because of increasing of number of electrons.

the atomic radius decreases across the periods because an increasing number of protons, because greater attraction between the protons and electrons.