Calculating Weight of Truck on Ferry Boat

In summary, we discussed the concept of bouyancy and how it relates to the weight of an object. We used the formula F(sub: B) = F(sub: g)[displaced fluid] = m(sub: f)g to calculate the weight of the truck, which was found to be 9.4 × 10³ N. We also noted the importance of using the density of an object in determining its weight in water.
  • #1
Lunar Guy
17
0
[SOLVED] Bouyant force

1. 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 (0.04 m) in the water. What is the weight of the truck?



2. F(sub: B) = F(sub: g)[displaced fluid] = m(sub: f)g
(magnitude of bouyant force = weight of the fluid displaced)

F(sub: B) = F(sub: g)[object] = m(sub: o)g
bouyant force = weight of floating object

m = ρV
(mass = density × volume)




3. Well, the volume of the boat is (4.0 m)(6.0 m)(0.04 m) = (0.96 m³); I mean, the volume of the displaced water is that. ;)

Density of fresh water = 1.00 × 10³ kg/m³

F = ρV(g)
F = (1.00 × 10³ kg/m³)(0.96 m³)(9.81 m/s²)
F = 9.4 × 10³ N


Am I correct?
 
Last edited:
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  • #2
Correct - and an extra bonus point for quoting the weight of the truck not it's mass.
Although you will probably get the answer marked wrong by some dumb online marking system that expects mass.
 
  • #3
All right! Thanks. :)

Problem solved!

EDIT: Ermmm... How do I mark it solved?
 
  • #4
Found it. :)
 

Related to Calculating Weight of Truck on Ferry Boat

1. How do I calculate the weight of a truck on a ferry boat?

To calculate the weight of a truck on a ferry boat, you will need to know the weight of the truck, the weight capacity of the ferry boat, and the weight distribution of the truck on the ferry. You can then use the formula: Truck Weight + (Ferry Capacity - Truck Weight Distribution) = Weight of Truck on Ferry Boat. This will give you an estimate of the weight of the truck on the ferry boat.

2. What are the factors that affect the weight of a truck on a ferry boat?

The weight of a truck on a ferry boat can be affected by various factors such as the weight of the truck itself, the weight capacity of the ferry boat, the weight distribution of the truck on the ferry, the weather conditions, and the stability of the ferry boat. It is important to consider all of these factors when calculating the weight of a truck on a ferry boat.

3. How important is it to accurately calculate the weight of a truck on a ferry boat?

It is extremely important to accurately calculate the weight of a truck on a ferry boat as it directly affects the safety and stability of the ferry and its passengers. An incorrect calculation can lead to overloading of the ferry, which can result in accidents and damage to the ferry and its cargo.

4. Can I use any formula to calculate the weight of a truck on a ferry boat?

No, you cannot use any formula to calculate the weight of a truck on a ferry boat. It is important to use the correct formula, which takes into account the weight capacity and weight distribution of the ferry boat. Using the wrong formula can result in an inaccurate calculation and can compromise the safety of the ferry and its passengers.

5. Are there any tools or resources available to help with calculating the weight of a truck on a ferry boat?

Yes, there are various tools and resources available to help with calculating the weight of a truck on a ferry boat. These include weight distribution calculators, weight capacity charts for different types of ferries, and guidelines provided by ferry companies. It is important to consult these resources and use them in conjunction with the correct formula to ensure an accurate calculation.

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