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A certain boat traveling on a river displaces a volume of 6.7 m^3 of water. ( the density of the water is 1000 kg/m3)A. What is the mass of the water displaced by the boat?B. What is the weight of the boat?

User Torre Lasley
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1 Answer

14 votes
14 votes
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

User Milanseitler
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