m=32 kg
α=45°
μ=0,42
g=9,81 m/s²
a=?
m*g*sin(α)-m*a*sin(α)=μ*m*g*cos(α)+μ*m*a*cos(α)
g*sin(α)-a*sin(α)=g*μ*cos(α)+a*μ*cos(α)
g*sin(α)-g*μ*cos(α)=a*(sin(α)+μ*cos(α))
a=g*(sin(α)-μ*cos(α))/(μ*cos(α)+sin(α))
a=9,81*(sin(45)-0,42*cos(45))/(0,42*cos(45)+sin(45))
a=4,01 m/s²