Solving a Buoyancy Problem: Determining the Weight of a Truck on a Ferry Boat

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To determine the weight of the truck on the ferry boat, the problem involves calculating the volume of water displaced when the boat sinks 4.00 cm. The dimensions of the ferry boat are 4.0 m wide and 6.0 m long, allowing for the calculation of the displaced water volume. Using the density of water, the weight of the displaced water equals the weight of the truck, leading to the conclusion that the truck weighs 960 kg. The approach involves applying the formula for density, where mass equals density times volume. The solution effectively illustrates the principles of buoyancy and displacement.
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Homework Statement


A ferry boat is 4.0 m wide and 6.0 m long. When a truck pulls onto it, the boat sinks 4.00 cm in the water. What is the weight of the truck?


Homework Equations


\rho=m/v
and others


The Attempt at a Solution


none. My teacher gave my class chapter to read and complete on our own. I have no idea where to begin to start solving this problem.
 
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Water must be displaced to get the buoyancy to hold up the truck. The weight of the water displaced will be same as the weight of the truck.
 
do i use the P=m/v equation and solve for m?
i would use the density of water for P, and the volume of the water displaced for v, right? I think i understand.
would the answer be 960 kg?
 
That's it.
 
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