You are shipwrecked and floating in the middle of the ocean on a raft. You have...

You are shipwrecked and floating in the middle of the ocean on a raft. You have a treasure chest full of gold. Your raft is barely afloat, so you have two choices on how to position the treasure chest:

1) Keep the chest on top of the raft

2) Tie the treasure chest to the bottom of the raft, so that the chest is completely submerged.

A) Which choice would cause you to displace a greater mass of water? Or, would they both cause you to displace an equal mass of water?

B) Which choice would cause you to displace a greater volume of water? Or, would they both cause you to displace an equal volume of water?

C) Which choice would cause the raft to float higher in the water? Or would they both do so?

Please explain and show your work! Thank you!

Solutions

Expert Solution

Solution:

Buoyant force is the upthrust acting on the surface of boat and is equals to the weight of water displaced by the boat.

Now, if buoyant force equals the weight of the object, then that boat will float and if it is lesser than the weight of the boat it will sink.

The weight of water displaced can be obtained by multiplying the mass of water displaced with the acceleration due to gravity g.

The mass of water displaced is equals to the product of the volume of the boat lying below the surface of the water and the density of the water. Notice, the density is water will not change wherever you try to put the chest. Hence, the volume of the boat lying below the surface of the water will be the deciding factor here.

If the chest is tied to the bottom of the raft, the volume of the boat will change will increase in-fact, hence more volume of the water will get displaced, thus, more mass of water will displace.

If the chest is tied to the bottom of the raft, the volume of the boat will change will increase in-fact, hence more volume of the water will get displaced.

From the discussions done in part A and B, the first choice of keeping chest The more load you add to a boat, the more it weighs, and the further it will have to sink for the upthrust to balance its weight. Because the pressure of water increases with depth: the further into the water the boat sinks, without actually submerging, the more upthrust is created. Hence, keeping the chest on the top of the raft would cause the raft to float higher.

genius_generous answered 1 year ago

Next > < Previous

Related Solutions

In your dream, you are floating on a raft in the middle of the ocean. The sun’s hot, you are very thirsty, and you are surrounded by water.

In your dream, you are floating on a raft in the middle of the ocean. The sun’s hot, you are very thirsty, and you are surrounded by water. You want to take a long, cool drink of sweater, but something you learned in anatomy and physiology stops you from drinking and saves your life! Why shouldn’t you drink a sweater?

What is the difference between “stuck-in-the-middle” and “blue ocean”? Can you give an example of each...

What is the difference between “stuck-in-the-middle” and “blue ocean”? Can you give an example of each and explain why you chose those two? What risks are associated with using each business-level strategy? What is a business-level strategy? Why is a business-level strategy important to a firm’s success? What are the definitions of the four business-level strategies discussed? What specific actions should a firm take to effectively use each business-level strategy? answer any one of these

As the management accountant for Pleasanton Raft Company, Inc., you have been asked to attend a...

As the management accountant for Pleasanton Raft Company, Inc., you have been asked to attend a planning session for the next season. The owner, Mara Mason specifically wants to be able to predict her fuel costs each coming week. Mara typically staffs the desk at the river – answering the phone, checking in customers, and taking payment – while her staff drives the customers and rafts out to the river. Since she is not actively driving the van, it has...

As the management accountant for Pleasanton Raft Company, Inc., you have been asked to attend a...

A penguin has decided to jump between two small icebergs floating in the ocean near Antarctica....

A penguin has decided to jump between two small icebergs floating in the ocean near Antarctica. You may neglect water resistance and treat the motion of the icebergs relative to the water as frictionless. At the beginning of the problem all are at rest with respect to each other. The penguin runs and jumps off the first iceberg and land on the second, where it comes to rest relative to the second iceberg. The mass of the penguin is mp....

Assume that you have a 12-bit floating point number system, similar to the IEEE floating point...

Assume that you have a 12-bit floating point number system, similar to the IEEE floating point standard, with the format shown below and a bias of 7. The value of a floating point number in this system is represented as FP = (-1)^S X 1.F X 2^(E-bias) for the floating point numbers A = 8.75 and B = -5.375. The binary representation of A is given as A = 0101 0000 1100 Show the hexidecimal representation of B.

In the short story “King of the Raft”, what does the Raft symbolize and what is...

In the short story “King of the Raft”, what does the Raft symbolize and what is the message being told by the story?

You have lent a floating rate loan to a borrower. Now, the interest rates are likely...

You have lent a floating rate loan to a borrower. Now, the interest rates are likely to decline. Which instrument could you use to protect yourself against a risk of declining interest rates? Select one: a. Reverse repo b. Short hedge in Futures c. Interest rate Cap d. Long hedge in Futures e. Repo

You are a middle level manager and during the last few weeks you have experienced several...

You are a middle level manager and during the last few weeks you have experienced several communication problems which have made your job more difficult. Reflecting on the information in chapter 12, you realize there could and should be changes in your company to improve communication. You will write a memo to your boss, the V.P. In this (minimum of 400 word) memo you will: o describe the importance of effective communication in the organization o identify three specific and...

explain step by step, how do you design a mat or raft foundation? when do you...

explain step by step, how do you design a mat or raft foundation? when do you opt for raft foundation?

Subjects