A pontoon boat floats on two cylindrical pontoons (assume the ends are flat). Each pontoon is 6m long. The mass of the boat, pontoons, and gear (without any passengers) is 1950 kg. If exactly half of the pontoon volume was submerged without any passengers on the boat, what is the maximum volume of water that can be displaced to support the weight of passengers? The density of freshwater is 1000 kg/m³ . End view of pontoons: Waterline Pontoon D/2 is submerged

A pontoon boat floats on two cylindrical pontoons (assume the ends are flat). Each pontoon is 6m long. The mass of the boat, pontoons, and gear (without any passengers) is 1950 kg. If exactly half of the pontoon volume was submerged without any passengers on the boat, what is the maximum volume of water that can be displaced to support the weight of passengers? The density of freshwater is 1000 kg/m³ . End view of pontoons: Waterline Pontoon D/2 is submerged

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

See similar textbooks

Related questions

Q: A cylindrical tank is resting horizontally on the ground (the circular faces are vertical). The tank…

A: There are two types of forces that act on a circular surface: one type of force is radial force and…

Q: Two large parallel glass plates separated by a distance d water. The contact angle between the water…

A: Distance between the plates, d = 1mm = 0.001 m Contact angle, θ = 0 Surface tension, σ = 0.07 N/m

Q: A vat contains a mixture of oil and water. The water forms a lower layer which is 0.8 m deep, and…

Q: a scuba diver with, tank, and gear has a mass of 78 Kg. The diver and gear displace a total volumen…

Q: An open-topped rectangular metal boat containing sand as a ballast floats on water. The boat has a…

A: Note: As per policy, we can solve the first question from the multiple questions. Please resubmit…

Q: A plane is fitted with pontoons for operation on lakes. As it taxies out for take-off, the plane…

Q: A semicircular plate of radius 5ft rests vertically on its diameter at the bottom of a pool filled…

Q: Consider a container of machine nuts that is placed into water. The container is (3) large enough…

A: 4. According to Archimede's principle, the volume of water displaced by the nuts is equal to the…

Q: Problem 1. What is the mass of the ball in kg, if it weighs 300 Kgr? Problem 2. A closed drum…

A: Dear student According to the guidelines I am allowed to answer only three…

Q: An open cubic tank of side length 2 m is completely filled with water. If the surface of the water…

A: Given data side length of cubical tank (a) = 2 m atmospheric pressure (Patm) = 101.325 kPa To…

Q: A trough is filled with a liquid of density 875 kg/m3. The ends of the trough are equilateral…

Q: The can in Fig. fl oats in the position shown. Whatis its weight in N?

A: Given Submerged height = 8 cm Floated height = 3 cm Specific weight of water = 9790 N/m3 Diameter of…

Q: Quer o.. A cylindrical measuring instrument is being designed to study the Ganga river. It is…

Q: A rectangular tank of dimensions: 2 m x 1.4 m x I m deep contains fresh water to a depth of 0.6 m. A…

Q: A beaker of circular cross section of radius 8 cm is filled with mercury up to a height of 6 cm.…

A: Data given- r = 8 cm = 0.08 m h = 6cm = 0.06 m Filled with hg Atmospheric P = 105 N/m2 Density…

Q: A box of height 7 m and a square base of side 4 m is submerged in a pool of water. The top of the…

A: Givenboxh=7ma=4mx=3mρ=1000 kg/m3g=9.81 m/s2

Q: A 5.5-m-long (în directon pa normal to this quarter circular gate of radius l-8m is t A as shown of…

Q: A door in the side of a tank is 3.1 m wide and 5.2 m high, the tank is filled to the top of the door…

Q: tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The…

Q: A tank holds water (density of 995.7 kg/m3) with a triangular gate located at the bottom right. The…

A: Given data, Density of water, ρ=995.7 kg/m3 Base of triangle, b=0.7 m height of triangle, h=1.4 m…

Concept explainers

Center of Gravity and Centroid

The term center of gravity indicates the position or location of a point about which the whole weight of a body or system is supposed to be concentrated, which means the whole weight of the body or system works through this point. It is closely related to mass distribution. For all positions of the body, the center of gravity would be a single point.

Question

A pontoon boat floats on two cylindrical pontoons (assume the ends are flat). Each
pontoon is 6m long. The mass of the boat, pontoons, and gear (without any
passengers) is 1950 kg. If exactly half of the pontoon volume was submerged
without any passengers on the boat, what is the maximum volume of water that can
be displaced to support the weight of passengers? The density of freshwater is
1000 kg/m³ .
End view of pontoons:
Waterline
Pontoon
D/2 is submerged

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

This is a popular solution!

SEE SOLUTION Check out a sample Q&A here

Introduction

VIEW

Analysis

VIEW

Trending now

This is a popular solution!

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, mechanical-engineering and related others by exploring similar questions and additional content below.

Similar questions

Please solve this question in handwriting. Again please in writing.
A plane is fitted with pontoons for operation on lakes. As it taxies out for take-off, the plane itself weighs 10670 Newtons (2849lbs), it has 40 gallons of gasoline in its tanks, and the pilot and passenger together weigh 1513 Newtons (340 lbs). One gallon of gasoline weighs 25 Newtons (5.67lbs). What is buoyant force on the plane when it floats in a body of water? Take the mass density of water to be 1000 kg/m3 and the acceleration due to gravity as 9.8 m/s2
(a) A rectangular, fully enclosed tank 2.4m long, 1.4m wide and 0.8m high is constructed of sheet metal weighing 443.6 kg-f (force). The tank floats in sea water of density 1025kg/m³ with its 0.8m sides vertical. If the centre of gravity is at the geometric centre of the vessel, calculate the metacentric height and comment on the stability of the tank. (b) A hydrometer is an instrument used for measuring the relative density of liquids based on the concept of buoyancy. A particular hydrometer is 80 cm in length. When placed in pure water, 50cm of the hydrometer is submerged and it reads 1.000 as shown in Figure 1. i) Calculate the density of the hydrometer? ii) When placed in Alcohol, 65 cm of the hydrometer is submerged beneath the alcohol. Calculate the density of alcohol? iii) Determine the reading of the hydrometer when it is in the alcohol? iy What will happen when this hydrometer place in Pentane (p-625 kgm): Fluid surface 1.00 Hydrometer- 80 cm 50cm Figure 1: A hydrometer
6. A 100 cc block of Styrofoam (density 100 kg/m³) is held by a massless string, attaching the bottom of the block to the bottom of the vat, in a vat of water (density 1 gm/cc) as shown in the diagram. В. What is the tension in the string? С. block in it), i.e. everything (vat, water, block) accelerates downwards with acceleration due to gravity, g. Now what is the tension in the string? Justify your answer. [Hint: Think carefully about how the buoyant force is derived] Now imagine you drop the whole vat of water (with the Styrofoam
1. Hydrostatic Force on Plane Surface. An open rectangular tank is 7 m high and has a square base 5 m on a side. If the tank is half-filled with fresh water (density is 1000 kg/m'), determine (a) the total hydrostatic force on a vertical side, in kN and (b) the location of the center of pressure as measured from the liquid surface, in cm. Draw the side view of tank showing the hydrostatic force F and the distance, yp. Is I + Ad a. Magnitude: F = yh,A b.Direction: Perpendicular to the Area c. Location: y, === S.
An average adult has a mass of 81 kg, knowing that the average human density is very close to that of fresh water (1,000 kg/m3), (a) Calculate the buoyant force exerted by fresh water on that person. (b) If this adult jumped in a tank filled with Glycerine (sg = 1.263) what will be the percentage of the submerged volume below the surface?
Use this fact: The weight-density of water is 9800 newtons per cubic meter or 62.5 pounds per cubic foot.
I need help finding the force on a flat door at the bottom of the vessel that has a cross-sectional area of 0.5 m2.
A wood cube 3 cm on a side floats level on water with just 1.5 mm of the cube showing above the surface. What is the density of the wood (density of water 1 000 kg/m3)?
We calculated the mass of water in a large reservoir. We will now consider the pressure and force acting on the dam retaining water. The dam is 500 m wide, and the water is 80.0 m deep at the dam. (a) What is the average pressure on the dam due to the water? (b) Calculate the force exerted against the dam and compare it with the weight of water in the dam (previously found to be 1.96X10 N).
1. Bellow Fig illustrates a cylinder having diameter of 1.8 m and height 1.2 m. The mass of the cylinder is 1019.3 kg which is floating vertically in salty water of density 1025 kg/m³. If an object weighing 2 kN is placed on the top of the cylinder, calculate the maximum height of centre of gravity (z) for the object to keep the cylinder in a state of stable equilibrium. Z 2 kN 0.45m . G₁ G 1.8m 1.2m p=10;
A person wearing long snowshoes can walk across a blanket of freshly fallen snow without sinking far into the snow because (p.s. Google snowshoe if you don't know how one looks like) snowshoes cover a larger area than a foot and so the pressure is reduced. the snowshoes reduce the force of the person on the snow. the large area of the snowshoe concentrates the force of the person to a point smaller than the foot. snowshoes push less dense snow out of the way so the person stands on more solid ice below