Answer:
L = 0.416 m
Explanation:
In this exercise to calculate the distance traveled in the branch that climbs the block we can use the concepts of energy
Starting point Flat part
Em₀ = K = ½ m v²
Final point. Highest part of the ramp
[tex]Em_{f}[/tex] = U = m g h
As there is no friction the mechanical energy is conserved
Em₀ = [tex]Em_{f}[/tex]
½ m v² = m g h
h = v² / 2g
h = 2.5 2/2 9.8
h = 0.3189 m
The distance traveled can be found with trigonometry
sin 50 = h / L
L = h / sin 50
L = 0.3189 / sin50
L = 0.416 m
