The weight of a 8 m length of the same wire is 4 kg
Since the piece of wire is 6 cm long and weighs 30 grams, we need to find the linear density of the wire, ρ.
The linear density ρ = mass of wire, m/length of wire, L
So, ρ = m/L
Since mass of wire, m = 30 grams and length of wire, L = 6 cm,
ρ = m/L
ρ = 30 g/6 cm
ρ = 5 g/cm
Since we require the weight of 8 m length of wire, the weight of this 8 m length of wire, M = linear density, ρ × length of wire, L'
M = ρL'
Since ρ = 5 g/cm and L' = 8 m = 8 m × 100 cm/1 m = 800 cm (since 1 m = 100 cm)
M = ρL'
M = 5 g/cm × 800 cm
M = 4000 g
M = 4 kg
So, the weight of a 8 m length of the same wire is 4 kg
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