Question

Two snowy peaks are at heights H = 850 m and h = 750 m above the valley between them. A ski run extends between the peaks, with a total length of 3.2 km and an average slope of θ = 30° (Fig.). (a) A skier starts from rest at the top of the higher peak. At what speed will he arrive at the top of the lower peak of the coasts without using ski poles?

Answer 1

v = 44.27 m/s

Step-by-step explanation:

given,

Two Snowy peak heights = 850 m and 750 m

total length between the peaks = 3.2 Km

average slope of θ = 30°

speed of the skier at the top of the lower height of the peak

using energy conservation formula

`(1)/(2)mv^2 =m g h`

`(1)/(2)v^2 =g h`

`v^2 =2 g h`

`v=√(2 g h)`

`v=√(2* 9.8 * (850-750))`

`v=√(2* 9.8 * (100))`

`v=√(1960)`

v = 44.27 m/s