Answer :
Answer:
4.1 m
Explanation:
Given :
Mass of the block = m = 2 kg.
Initial velocity = [tex]v_{i}[/tex] = 8 m/s
Angle of the incline = α = 30°
Coefficient of friction = μ = 0.35
Distance moved up the incline is calculated using the work energy theorem.
Work done by the net force = change in kinetic energy of the object.
Net work = work done by friction + work done by the gravity component.
(- mg sin 30 - μ mg cos 30 ) d = [tex]1/2m v_{f}^{2} - 1/2 m v_{i}^{2}[/tex]
m cancels out when divided on both sides with m.
- [(9.8 sin 30 - ( 0.35 × 9.8 × cos 30) ] d = 1/2 ( 0² - 8² )
⇒ -7.87 d = -32
⇒ Distance traveled up the incline = d = 4.0658 m = 4.1 m