A wooden object (conically shaped) has a diameter of 8cm and height of 14cm. It floats in oil with 6cm of its height above oil level. Determine (a)The density of the object (b) If the volume of oil is twice that of the object, what fraction of oil is displaced after immersing the object?

Answers

Answer 1

Answer:

(a) The density of the object is 316/343 × the density of the oil

(b) The fraction of oil displaced after immersing the object is 0.461 of the oil volume

Explanation:

(a) The volume, V of a cone of height, h and base diameter, D = 2×r is given by the following equation;

[tex]V = \dfrac{\pi r^{2} h}{3}[/tex]

The volume of the object is therefore;

[tex]\dfrac{\pi \times 4^{2} \times 14}{3} = 74\tfrac{2}{3}\pi \, cm^3[/tex]

Where 6 cm is above the oil level we have;

[tex]\dfrac{\pi \times \left (6 \times \dfrac{4}{14} \right )^{2} \times 6}{3} = 5\tfrac{43}{49}\pi \, cm^3[/tex] above the oil level

Therefore, volume of the oil displaced = [tex]68\tfrac{116}{147}\pi[/tex] cm³ = 216.11 cm³

The density of the object is thus;

[tex]\dfrac{68\tfrac{116}{147}\pi}{ 74\tfrac{2}{3}\pi} \times Density \ of \ the \ oil = \dfrac{316}{343} \right ) \times Density \ of \ the \ oil[/tex]

The density of the object = 316/343 × the density of the oil.

(b) The volume of the oil = 2 × Volume of the object = [tex]2 \times 74\tfrac{2}{3}\pi \, cm^3 = 149\tfrac{1}{3}\pi \, cm^3[/tex]

The fraction of the volume displaced, x, after immersing the object is given as follows;

[tex]x = \dfrac{68\tfrac{116}{147}\pi}{ 149\tfrac{1}{3}\pi} = \dfrac{158}{343} = 0.461[/tex]

The fraction of oil displaced after immersing the object = 0.461 of the volume of the oil


Related Questions

Please help me find the last one ASAP! Thanks :))) (You don't have to send the definition)

Answers

The word friction is 4 across and 8 up in the bottom left corner. The word is shown as:
F
R
I
C
T
I
O
N

A squirrel jumps down from a tall tree. Assuming the squirrel is in free fall,
how far will it have fallen in 1.3 seconds?
O A. 6.4 m
B. 13.2 m
O C. 8.3 m
O D. 11.1 m

Answers

Use the formula:
d=.5 x g x t^2

G=9.8 meters per second
t=1.3 seconds

d=0.5×9.8×1.3^2

Answer is C. 8.3 m

Answer:

8.3 m

Explanation:

Mechanical energy is..

A. Found in machinery only
B. usually measured at the atomic level
C. the sum of the chemical and thermal energy of an object
D. the sum of the kinetic and potential energy of an object

Answers

Answer:

D

Explanation:

Mechanical energy is all about movement

Also kinetic and potential energy are mechanical

Which graph shows the correct relationship between kinetic energy and speed?

Answers

Answer: D

Explanation:

Kinetic energy = 1/2mV^2

From the formula above, we can deduce that kinetic energy is proportional to the square of speed. That is,

K.E = V^2

Graphically, the relationship isn't linear but a positive exponential. Therefore, option D is the correct answer.

Answer:

The correct answer is D.

Explanation:

Hope this helps.


9. A weather satellite is launched from the ground and placed in orbit six times farther away from the earth's centre. The gravitational field experienced by the satellite in orbit is the field that it experienced on the ground?

a Six times
b. One sixth of
c. Thirty-six times
d. One thirty-sixth of

Answers

Answer: d

One thirty-sixth of

Explanation: Gravitational field or gravitational field strength obeys the inverse square law. The gravitational field is inversely proportional to the square of the earth distance. That is,

g = Gm/r^2

Where r = distance.

If weather satellite is placed in orbit six times farther away from the earth's centre, gravitational field will be one thirty-sixth of its initial value.

Therefore, the gravitational field experienced by the satellite in orbit is one thirty-sixth of the field that it experienced on the ground.

A car accelerates uniformly from 0 km/hr to 60 km/hr in 4.5 seconds. Which one of the following choices best represents the acceleration of the car?
(A) 13.3 m/s2
(B) 9.8 m/s2
(C) 4.8 m/s2
(D) 3.7 m/s2
(E) 0.37 m/s2
please show work

Answers

Answer:

The acceleration of the car is [tex]3.7\ m/s^2[/tex].

Explanation:

It is given that,

Initial speed of the car, u = 0

Final speed of the car, v = 60 km/h = 16.66 m/s

Time, t = 4.5 s

We need to find the acceleration of the car. It is equal to the change in velocity divided by time taken. It can be given by :

[tex]a=\dfrac{v-u}{t}\\\\a=\dfrac{16.66-0}{4.5}\\\\a=3.7\ m/s^2[/tex]

So, the acceleration of the car is [tex]3.7\ m/s^2[/tex]. Hence, this is the required solution.

can someone help m e

Answers

Answer:

A.when the distance is very close from the source

Explanation:

Answerwhen the distance is very close from the source

Explanation: A

What are the characteristics of a gas ?

Answers

Answer:

c no definite shape and volume

The one that is the characteristic of gas is that it has no definite shape or definite volume. The correct option is A.

Gases have a number of distinctive characteristics. The fact that they don't have a set shape means that they can fit into and take on the shape of any container that they occupy.

Due to their high compressibility, gases can occupy a variety of spaces. Because of this, they lack a fixed volume.

Gaseous particles have the potential to disperse and diffuse because they are constantly moving, moving erratically and quickly.

Additionally, compared to liquids and solids, gases have lower densities. They also have traits like high thermal expansion and the capacity to mix and separate with ease.

Thus, the correct option is A.

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Two bumper cars collide and then move away from each other. The forces exerted are:

A. Equal and opposite
B. Opposite
C. Equal

Answers

Answer:

the answer is b

Explanation:

if it was equal they would move away from each other

please i need detaailed explanation
This is a continuation of the first question.​

Answers

Answer:

1Farahd

The equivalent capacitance in parallel 6F is now in series with

3F - 2F = 1F


Which of the following is an example of a medium for a visible light wave?
A. air
B. electrons
C. green light
D. blinds on a window

Answers

Answer:

C. green light

Explanation:

Answer:

i think D

Explanation:

hope it helps

Variations to the forehand stroke are not allowed. True False

Answers

the answer is false.
This is a false statement

Together, two students exert a force of 825 N in pushing a car a distance of 35 m.
How much work do the students do on the car?

Answers

Answer:

28875 Joule

Explanation:

W = F * d

W = 825*35 = 28875 J

The work done by the students in pushing a car at a distance of 35 meters would be 28875 Joules.

What is work done?

The total amount of energy transferred when a force is applied to move an object through some distance

The work done is the multiplication of applied force with displacement.

Work Done = Force * Displacement

As given in the problem Together, two students exert a force of 825 Newtons in pushing a car at a distance of 35 meters, then we have to  find out the work done by the students,

The force exerted by the students = 825 Newtons

The distance moved by car = 35 meters

work done by students = 825×25

                                       =28875 Joules

Thus, the work done by the students would be 28875 Joules.

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What is the mass of a 600 gram object on the moon

Answers

The object’s mass will be 600 grams on the moon. If you meant it’s weight, it will be 1/6 that of on Earth while on the moon.
It is 1/6 times that on the moon.

In charging by rubbing, electrons move from one material to another because

A. substances with very few neutrons have a net positive charge, so

they get the extra electrons.

O B. heavier substances get rid of electrons so they don't weigh as

much.

O C. the substance with the most protons steals electrons from the

other substance.

O D. some substances hold onto electrons tighter than other

substances, so they get the extra electrons.

Answers

Answer: D.

some substances hold onto electrons tighter than other

substances, so they get the extra electrons.

Explanation: When two substances are in contact by rubbing each other, there will be friction between them. The friction will stimulate what we called - Thermal energy. And what thermal energy does is the disrupt the bonding force or enhance it.

We can therefore conclude that some substances hold onto electrons tighter than other substances, so they get the extra electrons. Because at neutral state of the substance, the number of protons is equal to the number of electrons.

What does Ohm’s law state?
A. Current equal voltage time resistance
B. Voltage equals resistance divided by current
C. Voltage equals current divided by resistance
D. Voltage equals current time resistance

Answers

Answer:

The answer is D

Explanation:

Two vectors which do not lie along the same line represent what kind of
motion?
A. Resultant motion
B. Scalar motion
C. One-dimensional motion
D. Two-dimensional motion

Answers

Two-dimensional motion


10. Almost three-quarters of household energy use is due to the following:

• home furnaces and air conditioners

• water heaters

• washers and dryers
• lighting

For each of these uses of energy, give two reasonable ways to reduce household
energy consumption

Answers

Answer: Energy consumption and sustainability is important so that it remain available for future generation.

Explanation:

1. The home furnaces are likely to require fuel like coal, which will directly emit carbon dioxide and carbon monoxide gases. These should be replaced with the electrical furnaces. The old or more power consuming air conditioners should be replaced with new ones.

2. The water heaters should be tankless so their capacity to heat more water could be possible. The water heaters should be electricity saving.

3. Washer and dryers should be water savy and electricity savy. A front-loading washing machine is useful energy saver.

4. The LED lights are more electricity saving than conventional bulbs. Halogen lights are also electricity saving.

What is the velocity of a bobsled that travels 100 meters in 8.9 seconds in m/s

Answers

Answer:

11.2 m/s

Explanation:

Average velocity = displacement / time

v = 100 m / 8.9 s

v = 11.2 m/s

Which of the following statements best describes the second law of
thermodynamics?
A. Heat flows spontaneously from hot to cold, and entropy
decreases.
B. Heat flows spontaneously from hot to cold, and entropy increases.
C. Heat flows spontaneously from cold to hot, and entropy increases.
D. Heat flows spontaneously from cold to hot, and entropy
decreases.

Answers

Answer:

B

Explanation:

Heat flows from hot to cold to lower the temperature of hot areas and increase temperature of cold areas. The end result is that the 2 areas have the same temperature, thus increasing entropy.

Heat flows spontaneously from hot to cold, and entropy increases.

The second law of thermodynamics relates to the entropy of a system. According to the second law of thermodynamics, the total entropy of a system may increase or remain constant in a spontaneous process.

The implication of this is that the entropy of a system never decreases. The entropy of a system increases when heat flows from a hot to a cold body and not vice versa.

Hence, the statement that; "Heat flows spontaneously from hot to cold, and entropy increases" describes the second law of thermodynamics.

Frames of Reference Practice Solutions
A girl is on a train that is headed East at 100 miles per hour. The girl is walking at 5 miles per hour
toward the back of the train.
1.
What is the speed and direction of the train if the girls is the frame of reference?

Answers

Answer:

5 mph East.

Explanation:

If the girl is the frame of reference, we need to check the train's relative movement to the girl.

If the girl was not moving inside the train, the speed of the train would be zero, because the train and the girl would be moving together with the same speed and direction.

If the girl is moving 5 mph toward the back of the train, the movement of the train should be calculated considering the girl is fixed (not moving).

So the direction of the train movement would be the inverse of the girls movement (the girl is going West), then the speed and direction of the train is 5 mph and East.

Remembering the Battle of Bunker Hill what did general Howe and his troops do

Answers

Answer:

General Howe and the British regrouped after losing the hill.

Explanation:

British forces marched to Breed's Hill on 17 June under the order of Major General William Howe. When the British Army marched in waves toward the Americans, Colonel William Prescott issued orders to avoid the fire until British troops came to clear sight in an attempt to protect the dwindling supply of ammunition to the Americans. Many British soldiers have been killed or maimed; the remainder has withdrawn down the hill. In a second wave, the British stormed the hill once again but met with the same fate. So they withdrew again, suffering a large number of casualties.  Eventually the British took the hill in the third attempt but at a great cost of casualties.

which of the following is equal to an impulse of 9 units​

Answers

Answer:

force=2,time=4.5

Explanation:

Thats the answer

The shape of an apple is considered what

Answers

the shape of an apple is considered a physical property

If 10,000 J of work was done to raise a 225 kg box, how high was the box raised?​

Answers

Answer:

Explanation: Work=force×distance

W=F×S  where W=10,000J,  F=m×g=225 kg×10 N/kg= 2250 N

⇒S=W/F

     = 10000/2250

     = 4.44 m

The box will be raised 4.53 m

What is work done ?

Work done is defined as the product of component of the force in the direction of the displacement and the magnitude of  this displacement .

Work done = F .s = Fs cos (theta)

F = mg

s =h

theta = 0°

cos (theta) = cos 0 = 1

hence , work done = m*g*h

Potential energy is stored in the form of work done

potential energy = work done to raise the box = m*g*h

given

mass (m) = 225kg

work done(WD) = 10,000 J

height (h) = ?

potential energy = m*g*h

10,000 J= 225kg * 9.8m/s^2 * h

h = 4.53 m

The box will be raised 4.53 m

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Question 10 of 10
2 Points
Which of the following best describes how the Federal Reserve Bank helps
banks during a bank run?
A. The Federal Reserve Bank acts as an insurance company that
pays customers if their bank fails.
B. The Federal Reserve Bank regulates exchanges to prevent the
demand for withdrawals from rising above the required reserve
ratio.
C. The Federal Reserve Bank has the power to take over a private
bank if customers demand too many withdrawals.
D. The Federal Reserve Bank can provide a short-term loan to banks
to prevent them from running out of money.

Answers

Answer:

D. The Federal Reserve Bank can provide a short-term loan to banks

to prevent them from running out of money.

Explanation:

A bank run occurs when a large number of depositors withdraw their deposits simultaneously from a bank.

As the number of withdraws increases, the available cash in the bank decreases until a point that the bank can't give depositors their money.

In these situations, The Federal Reserve Bank acts as a lender of last resort that helps to reinforce the effect of deposit insurance, and to reassure bank customers that they will not lose their money.

How much blood does the average adult have

Answers

The average adult has about 1.2-1.5 gallons of blood in their bodies.
An average adult has about 1.2 to 1.5 (4,500 to 5,700 mL) gallons of blood in their body.

What is D ?
Its name the wave diagram.
B: Crest
A: Trough
C: wavelength

I think can someone check that. I think D might be amplitude but i don’t know.

Answers

Answer:

wave height ( H)

Explanation:

it is the total summation of crest and trough

A washing machine heats 10kg of water in each wash cycle. How much energy is saved by washing at 30'c instead of 50'c if the starting temperature of the cold water is 16'c? The specific heat capacity of water is 4200 J/Kg'c

The two equations you can use is in the picture.

Answers

The equation for this is very simple you add then you subtract then you get the answer then you divide then it all works out for you

8.4 × 10⁵ Joules of heat energy can be saved assuming that there is no heat exchange between the washing machine and the environment.

What is Heat energy?

Heat energy is the result of movement of tiny particles called as atoms, molecules, or ions in solids, liquids and gas substances. Heat energy can be transferred from one object to another object.

Let m denote the mass of water and  the specific heat capacity of water. The energy required to raise the temperature of that much water by  would be:

Q = m × c × ΔT

Washing at 30°C would require a temperature change of

ΔT = 30°C - 16°C = 14°C

Washing at 50°C would require a temperature change of

ΔT = 50°C - 16°C = 34°C

In both situations, c = 4.2 × 10³J.kg/ °C while m = 10kg.

Calculate the energy required in either of the situations as:

Washing at 30°C:

Q(30°C) = c × m × ΔT

Q = 4.2 × 10³J.kg/ °C × 10kg × 14°C

Q = 588000 Joules

Washing at 50°C :

Q (50°C) = c × m × ΔT

Q = 4.2 × 10³J.kg/ °C × 10kg × 34°C

Q = 1428000 Joules

1428000 Joules - 588000 Joules = 8.4 × 10⁵ Joules

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Liam is two-years old. His mother is concerned about his behavior. Liam is very different from how his sister Briana was when she was his age. He does not make eye contact. When she smiles at him, he doesn’t smile back. He doesn’t seem to like her hugging or kissing him. It seems that Liam has

Answers

Answer:

Autism

Explanation:

Those are some symptoms of autism that you described

Answer:

Autism is the answer

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The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 adult tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 adult tickets and 5 student tickets. What is the price of the adult and the student ticket? Drag each tile to the correct location. Identify each item as an example of plot, setting, or character. It was the middle of the morning when she stepped out into the beautiful kingdom of ice. The animals watched as the sun started to set. The forest all around them grew black with night. The king was a proud and powerful man. Even though he was only as tall as a dandelion, he commanded the entire rooms attention. Kenneth entered the dark cave and defeated the dragon. Now that hed protected the city, he could finally marry the princess. The young boy stood his ground as the large snake attempted to attack him. He stepped to the side and used his gleaming sword to frighten it away. The boy was about 12 years old. Hed never been outside his village, but he dreamed of seeing distant kingdoms and learning about the world. 2 PointsWhy were Southerners successful in using literacy tests to keep AfricanAmericans from voting? Early Christians came into conflict with the Roman Empire becaause Which example describes a primary source?A. A memoir written by British prime minister Margaret Thatcherabout her careerB. A song written about the politics of British prime ministerMargaret ThatcherC. An article about British prime minister Margaret Thatcher's role inthe Cold WarD. An analysis of a speech given by British prime minister MargaretThatcher