Answer:
1.4 m/s²
Explanation:
m = mass of the uniform sphere = 3.5 kg
r = radius of the sphere = 0.4 m
θ = angle of the incline = 0.2 rad = 11.5 deg
g = acceleration due to gravity = 9.8 m/s²
a = acceleration of the rolling sphere
acceleration of the rolling sphere is given as
a = [tex]\frac{5}{7}[/tex] g Sinθ
Inserting the values
a = [tex]\frac{5}{7}[/tex] (9.8) Sin11.5
a = 1.4 m/s²