A block on an inclined plane experiences a force due to gravity of 300 N straight down. If the slope is inclined at 67. 8° to the horizontal;

(a) what is the component of the force due to gravity perpendicular and parallel to the slope? and
(b) at what angle would the perpendicular and parallel components of the force due to gravity be equal?

Correct (a) F|| = 277.8 N  and F⊥ = 113.4 N  (b) α = 45°

Explanation:

Given :

Fg = 300 N  and angle α = 67.8°

Let be perpendicular component be F⊥ and parallel component F||

(a)

F|| = Fg · sinα = 300 · sin 67.8° = 300 · 0.926 = 277.8 N

F|| = 277.8 N

F⊥ = Fg · cosα =  300 · cos 67.8° = 300 · 0.378 = 113.4 N

F⊥ = 113.4 N

(b)

Perpendicular and parallel components will be equal at angle

α = 45°

F⊥ = F|| = Fg · sinα = Fg · cosα =  300 · √2/2 =  212.13 N

God is with you!!!

explanation:

earth's surface is mainly heated by the absorption of infrared radiation from the sun.

evaporation occurs because molecules in liquid water are warmed ( usually by the sun) and vibrate quicker, becoming less dense and rise.

condensation occurs because molecules in water vapor are cooled and therefore vibrate more slowly thus becoming more dense and eventually fall to earth.

lines of equal barometric pressure on a weather map are called: isobars : lines of equal temp on a weather map are called: isotherms.​

be subject to a force andchange its motion