1) Using definitions:
Power = Work÷time = (Force×displacement)÷time = Force×velocity
Therefore:
P = F × v = 100.0 × 45.0 = 4500 W
2) The active force is the vertical component of the weight:
F = m · g · sinα = 50 · 9.8 · sin(45) = 346.5N
Work is Force times displacement:
W = F · d = 346.5 · 28.3 = 9806J
3) The mechanical advantage of an inclined plane is the ratio between the length and the height of the plane:
MA = l / h = 5 / 2 = 2.5
4) To find the displacement due to the wind, you need to draw the vectors; you will find a triangle rectangle on which you know one angle and the adjacent side and you need to find the hypotenuse. Using trigonometry:
h = a / cosα = 10 / cos(30) = 11.5km = 1.15×10⁴m
You can now find the Work:
W = F · d = 5.00×10⁴ · 1.15×10⁴ = 5.75×10⁸J
