💬 👋 We’re always here. Join our Discord to connect with other students 24/7, any time, night or day.Join Here!

Get the answer to your homework problem.

Try Numerade free for 7 days

Like

Report

When an open-faced boat has a mass of 5750 $\mathrm{kg}$ , including its cargo and passengers, it floats with the water just up to the top of its gunwales (sides) on a freshwater lake. (a) What is the volume of this boat? (b) The captain decides that it is too dangerous to float with his boat on the verge of sinking, so he decides to throw some cargo overboard so that 20$\%$ of the boat's volume will be above water. How much mass should he throw out?

a) 5.75 $\mathrm{m}^{3}$b) 1150 $\mathrm{kg}$

Physics 101 Mechanics

Chapter 13

Fluid Mechanics

Temperature and Heat

Simon Fraser University

Hope College

University of Sheffield

Lectures

04:16

In mathematics, a proof is…

04:48

In mathematics, algebra is…

03:59

When an open-faced boat ha…

06:10

A 85.0 -kg canoe made of t…

01:50

(II) A scuba diver and her…

01:46

A lost shipping container …

01:23

A certain man has a mass o…

02:13

02:58

02:10

A man has a mass of $80 \m…

00:40

Dropping Anchor. An iron a…

03:39

In an immersion measuremen…

02:08

A 42.0 -kg boy uses a soli…

06:49

A 62.0 -kg survivor of a c…

08:29

Assume that crude oil from…

02:57

A boat floating in fresh w…

02:16

A scuba diver and her gear…

01:17

07:44

In seawater, a life preser…

02:51

What is the density of a w…

03:55

$*$ An 80 -kg person stand…

02:54

(a) What is the density of…

Okay, so in this problem, we have a boat floating underwater. Let's put here on boats and he's faulting on the water. So in the first item of this problem, we want to calculate the volume off the boat. And how are we going to do this? Let's remember off the arguments principle. So we have a force here, keeps you both floating and we have the weight off the boat so we can make this force is equal using the arguments principle. So we have that density off the water times the gravity acceleration times the volume off the water that is going to be called the volume off the boat. It's equal the mass off the boat times the gravity's acceleration. Therefore, we can cross. The gravity isn't here, so to simplify, we have the volume off. The boat is going to be equal the mass of the boat divided by density off the water. So let's calculate this. The mass of the boat is just 5000 750 kilograms divided by did institute off the water, which we know that it's one times 10 to the tree. So we have the volume off the boat equals five point 75 meters cubits. So that's the volume off the boat. Now that we have the volume of the boat, the second thing we need to calculate is a mess off the cargo, knowing that Heathrow 20% off the mess own underwater. So we're going to use this same equation here but to calculate the mess. So we know that the mess is going to be equal volume. The final volume multiply by the density off the water. But who is the final volume is just 80% of the total volume because he throw away 20% so we can see that the mess of the cargo it's going to be 0.8 times the volume that we already calculate. Riches, uh, 5.75 5.75 times. Do you density off the water, which is one times 10 to the tree. So if recalculate this, we have a total mess that is still on the boat, both 4000 and 600 kilograms, and that's to find a lesser charge us a problem. So actually, that's see, he wants to know how much you throw away. How much must throw out. Okay. Okay. So this is the mess. The left on the boat. So to calculate what the problem actually wants, we just need to subtract 5000 750 miners, 4000 and 60. And we know the mess he threw out is going to be equal 1000 150 kilograms. That's the actual answer of this problem, That's all. Thanks for watching.

View More Answers From This Book

Find Another Textbook

Numerade Educator

In mathematics, a proof is a sequence of statements given to explain how a c…

In mathematics, algebra is one of the broad parts of mathematics, together w…

When an open-faced boat has a mass of 5750 kg, including its cargo and passe…

A 85.0 -kg canoe made of thin aluminum has the shape of half of a hollowed-o…

(II) A scuba diver and her gear displace a volume of 65.0 $\mathrm{L}$an…

A lost shipping container is found resting on the ocean floor and completely…

A certain man has a mass of 80 $\mathrm{kg}$ and a density of 955 $\mathrm{k…

A certain man has a mass of 80 kg and a density of $955 \mathrm{kg} / \mathr…

(II) A scuba diver and her gear displace a volume of 65.0 $\mathrm{L}$ and h…

A man has a mass of $80 \mathrm{kg}$ and a density of $955 \mathrm{kg} / \ma…

Dropping Anchor. An iron anchor with mass 35.0 $\mathrm{kg}$ and density 786…

In an immersion measurement of a woman's density, she is found to have …

A 42.0 -kg boy uses a solid block of Styrofoam as a raft while fishing on a …

A 62.0 -kg survivor of a cruise line disaster rests atop a block of Styrofoa…

Assume that crude oil from a supertanker has density 750 kg/m$^3$. The tanke…

A boat floating in fresh water displaces water weighing 35.6 $\mathrm{kN}$ .…

A scuba diver and her gear displace a volume of 69.6 L and have a total mass…

In seawater, a life preserver with a volume of 0.0400 $\mathrm{m}^{3}$wi…

What is the density of a woman who floats in fresh water with $4.00 \%$ of h…

$*$ An 80 -kg person stands at one end of a $130-\mathrm{kg}$ boat. He then …

(a) What is the density of a woman who floats in freshwater with 4.00$\%$ of…

$\bullet$ $\bullet$ An astronaut notices that a pendulum which took 2.50 s f…

07:14

$\bullet$ A 0.500 kg chunk of an unknown metal that has been in boiling wate…

04:17

A $\mathrm{A} 12.5 \mu \mathrm{F}$ capacitor is connected to a power supply …

03:01

". "The Ship of the Desert." Camels require very little water…

00:41

If the contraction of the left ventricle of the heart lasts 250 $\mathrm{ms}…

04:20

$\bullet$$\bullet$ Three point charges are arranged on a line. Charge$q_…

03:40

(1) A car is driven 225 $\mathrm{km}$ west and then 78 $\mathrm{km}$ southwe…

04:55

A constant potential difference of 12 $\mathrm{V}$ is maintained between the…

10:05

$\bullet$ $\bullet$ In Fig. 11.42 the upper ball is released from rest, coll…

06:40

Hydraulic lift. You are designing a hydraulic lift for an automobile garage.…