Abox of mass 26 kg is sliding down a rough surface incline that makes an angle of 27 degrees with the horizontal. the coefficient of kinetic friction between the box and the surface is 0.36. resolve the gravitational force into x and y components along the rotated coordinate system.

X component 227.03 N

Y component 115.7 N

Explanation:

mass, m = 26 kg

angle of inclination, θ = 27°

coefficient of friction, μ = 0.36

The gravitational force is the weight of the box.

F = mg = 26 x 9.8 = 254.8 N

The x component of the gravitational force is along the inclined plane and it is equal to = F Cos θ = 254.8 Cos 27° = 227.03 N

The y component of the gravitational force is perpendicular to the inclined plane and it is equal to = F Sin θ = 254.8 Sin 27° = 115.7 N

speed of light in vacuum is 300,000 km/s

speed of light in other mediums is given by the expression v = c/n, where c is the speed of light in vacuum and n is the refractive index of medium.

for the first medium v = 200,000 km/s

  so, refractive index of medium = 300000/200000 = 1.5

    1.5 refractive index is usually for glass. so first medium is glass.

for the second medium v = 250,00 km/s

so, refractive index of medium = 300000/250000 = 1.2

    1.2 refractive index is usually for water. so second medium is water.

for the third medium v = 0 km/s

so, refractive index of medium = 300000/0 = ∞

    ∞ refractive index is usually for opaque mediums. so third medium is opaque medium.

inverse v=i*r

nice nice