Answer:
a) The mass of the water displaced by the boat = 149.3 kg
b) The weight of the boat = 1463.14 N
Step-by-step explanation:
Volume of water displaced, V = 6.7 m³
The density of water, ρ = 1000 kg/m³
The mass of the water displaced by the boat = m
The relationship between density, mass, and volume is:
ρ = mv
Substitute ρ = 1000, and V = 6.7 into the equation above, and solve for m
ρ = mV
1000 = m x 6.7
m = 1000/6.7
m = 149.3 kg
The mass of the water displaced by the boat = 149.3 kg
B) The weight, W, is calculated as:
W = mg
Substitute m = 149.3kg and g = 9.8 m/s^2 into the formula:
W = 149.3 x 9.8
W = 1463.14 N
The weight of the boat = 1463.14 N