The mass of the block on the frictionless horizontal surface is 5 kg.
The mass of the block is determined by applying Newton's second law of motion:
F = ma
The given parameters are
the magnitude of the first force, F₁ = 12 N
the magnitude of the second force, F₂ = 2 N
acceleration of the block, a = 2 m/s²
So, determining the mass of the block is
F = ma
∑F = ma
F₁ - F₂ = ma
12 - 2 = 2m
10 = 2m
m = 5 kg
Thus, the mass of the block on the frictionless horizontal surface is 5 kg.
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