How many people can the raft hold physics problem

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In summary, the conversation is about a problem involving a raft made of 10 logs and how many people it can hold before their feet get wet. The specific gravity of wood is given as 0.60 and the average person's mass is assumed to be 70 kg. The conversation also mentions the buoyant force and how to calculate it using the density, gravity, and volume of the submerged log. The person is asking for help in solving the problem.
  • #1
Elvis
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CAN ANYONE HELP ME, PLEASE ! I DON'T KNOW HOW TO SOLVE THIS PROBLEM

A raft is made of 10 logs lashed together. Each is 30cm in diameter and has a length of 5.5m. How many people can the raft hold before they start getting their feet wet,assuming the average person has a mass of 70 kg? Do not neglect the weight of the logs! Assume the specific gravity of wood is 0.60.

SG=0.60
r=1/2*30=15cm

I know
F/A = mg/A
F= mg =pAHg were p-->density
p=m/v
pressure=P=F/A
 
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  • #2


Hint: What's the buoyant force acting on a completely submerged log?
 
  • #3


The boyanty Force is:

Fb = F2 - F1
pfgA(h2-h1)
pfgAh
pfgV

I don't know how to solve please help !
 
  • #4


The buoyant force is the weight of the displaced fluid. How much water does a submerged log displace?
 

1. How do you determine the maximum weight capacity of a raft?

The maximum weight capacity of a raft is determined by the buoyancy force, which is equal to the weight of the water displaced by the raft. This means that the weight of the raft plus the weight of the people and any other objects on the raft must be less than the weight of the water the raft displaces.

2. Does the size of the raft affect how many people it can hold?

Yes, the size of the raft does affect how many people it can hold. The larger the raft, the more water it can displace and the more weight it can support. However, the shape and design of the raft also play a significant role in its weight capacity.

3. How does the density of the water affect the weight capacity of the raft?

The density of the water does not have a direct impact on the weight capacity of the raft. However, it does affect the buoyancy force as the weight of the water displaced by the raft is dependent on the density of the water. For example, the same raft will be able to hold more weight in freshwater than in saltwater due to the difference in density.

4. Can the weight distribution of the people on the raft affect its weight capacity?

Yes, the weight distribution of the people on the raft can affect its weight capacity. If the weight is evenly distributed, the raft will have a higher weight capacity. However, if the weight is concentrated in one area, it may cause the raft to tip and potentially capsize.

5. Is there a limit to how many people a raft can hold?

Yes, there is a limit to how many people a raft can hold. This is determined by the weight capacity of the raft and its design. Exceeding the weight capacity can be dangerous as it may cause the raft to sink or capsize.

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