A92-kg skier is sliding down a ski slope that makes an angle of 40 degrees above the horizontal direction. the coefficient of kinetic friction between the skis and the snow is 0.293. neglecting any air resistance, what is the acceleration of the skier?
a) 5.8 m/s2
b) 4.9 m/s2
c) 9.8 m/s2
d) 4.1 m/s2
e) 2 m/s2

d) a = 4.1 m/s²

Explanation:

m = 92 Kg

∅ = 40º

μ = 0.293

a = ?

We can obtain the forces in the direction x' (of motion)

Wx' = W*Sin ∅ = m*g*Sin ∅

Ffriction = μ*N = μ*m*g*Cos ∅

then we use Newton's 2nd Law as follows:

Wx' - Ffriction = m*a

m*g*Sin ∅ - μ*m*g*Cos ∅ = m*a

⇒   a = g*(Sin ∅ - μ*Cos ∅)

⇒   a = (9.81 m/s²)*(Sin 40º - 0.293*Cos 40º)

⇒   a = 4.1038 m/s²

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answer;

d. are made mostly of liquid

explanation;

-the general   composition and structure planets includes; they have a thick gas and liquid layer covering a small,solid core. mostly the gases are hydrogen and helium atmosphere and layers of liquid hydrogen. for instance neptune and uranus are examples of the outer planets, they have a core covered by ice and ammonia.

-neptune's atmosphere is hydrogen and helium with a bit of methane so there is no oxygen to breath and the interior is made up of frozen water and ammonia with a rock and iron core. thus, there is no liquid water or solid surface to survive.