The mass of the sign according to net force is 4.16 kg.
We need to know about force resultant to solve this problem. The force resultant is the total net force applied to the object according to the direction. It can be written as
∑F = F1 + F2 + ... + Fn
where ∑F is force resultant (net force)
From the question above, we know that
F1 = 148 N
θ = 16⁰
∑F = 0 N
g = 9.8 m/s²
The net force should be
∑F = W - Fsinθ
0 = W - 148 . sin16
W = 148 . sin16
W = 148 . 0.275
W = 40.79 N
Find the mass of the sign
W = m . g
40.79 = m . 9.8
m = 4.16 kg
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