m=800 g=0,8 kg
Ec_A=mv₀²/2<=>90=0,8v₀²/2<=>90=0,4vo²=>vo²=225=>v₀=√225=15 m/s
ΔEc_AB=L_G+L_Ff+L_N
ΔEc_AB=Ec_B-Ec_A=-Ec_A
L_G=-mgh;L_N=0 ;L_Ff=-Ff*AB=-μABmgcosα=-μmghctgα
Ec_A=mgh+μmghctgα=>h=Ec_A/[mg(1+μctgα)]=90/[0,8*10(1+0,5*ctg30°)]=90/[8(1+0,5*1,73)]=90/15≈6 m
sinα=h/BC=>BC=h/sinα=6/1/2=12 m
BC=12 m
L_Ff=-μmghctgα=-0,5*0,8*10*6*1,73=-41,52 J
Em=Ec+Ep
Ec_B=0
Em=Ep=mgh=0,8*10*6=48 J