Figure 3.50 shows a wooden cube floating in water.
When a stone is placed on the wood, it sinks a further 0.2m.
Find the weight of the
(a) wood
(b) stone
(Density of water = 1000kgm^-3]
Answers
Answer:
(a) The weight of the wood is approximately 5,886 N
(b) The weight of the stone is approximately 1,962 N
Explanation:
The given parameters are;
The base area of the wood, A = 1 m × 1 m = 1 m²
The depth to which the wood is submerged below the water, d = 0.6 m
The depth further the wood sinks when a stone is placed on the wood, Δd = 0.2 m
The density of water, ρ = 1,000 kg/m³
(a) Archimedes' principle states that the up-thrust, or upward force acting on an object submerged in a fluid, is equal to the weight of the displaced fluid.
For a floating object such as the wood, the up-thrust is equal to the weight of the object
The weight of the water displaced, W = The volume of the displaced water, V × The density of the water, ρ × The acceleration due to gravity, g
W = V × ρ × g
'V' is the same as the volume of the submerged wood, therefore;
V = A × d = 1 m × 1 m × 0.6 m = 0.6 m³
g ≈ 9.81 m/s²
Therefore;
W = 0.6 m³ × 1,000 kg/m³ × 9.81 m/s² ≈ 5,886 Newtons
The weight of the water displaced, W ≈ 5,886 N = The up-thrust = The weight of the wood
∴ The weight of the wood, W ≈ 5,886 N
(b) Similarly, the weight of the stone, [tex]W_{stone}[/tex] is equal to the weight of the additional volume of water displaced
∴ [tex]W_{stone}[/tex] = A × Δd × ρ × g
By plugging in the values, we get
[tex]W_{stone}[/tex] ≈ 1 m² × 0.2 m × 1,000 kg/m³ × 9.81 m/s² = 1,962 N
The weight of the stone, [tex]W_{stone}[/tex] ≈ 1,962 Newtons
Related Questions
Why did the lemon battery work and how many volts does one produce?
O The juice of the lemon is an acid and the acid caused 2 volts.
O The juice of the lemon is an electrolytic solution allowing electrons to flow and created around 5 V.
O The juice of the lemon is an electrolytic solution allowing electrons to flow and created around 1.5 V.
O The juice of the lemon is an acid and the acid caused 1 volt.
Answers
Answer:
the third one
Explanation:
A 5 kg ball is sitting on top of a hill. It has a Potential Energy of 6000J. What is the height of the ball?
Answers
Explanation:
mass=5 kg
potential energy=6000j
height=?
Now
potential energy =m.g.h
or 6000=5*9.8*h
or 6000=49h
or 6000÷49=h
or h= 122.45m
A ball with a volume of 1.0 L is filled with a gas at 5 atmospheres (atm). If the volume is reduced to 0.75 L without a change in temperature, what would be the pressure of the balloon?
Answers
Answer:
P2 = 6.67 atm
Explanation:
Given the following data;
Initial volume = 1 Liters
Initial pressure = 5 atm
Final volume = 0.75 Liters
To find the final pressure P2, we would use Boyles' law.
Boyles states that when the temperature of an ideal gas is kept constant, the pressure of the gas is inversely proportional to the volume occupied by the gas.
Mathematically, Boyles law is given by;
[tex] PV = K[/tex]
[tex] P_{1}V_{1} = P_{2}V_{2} [/tex]
Substituting into the equation, we have;
[tex] 5 * 1 = P_{2} * 0.75 [/tex]
[tex] 5 = 0.75_{2} [/tex]
[tex] P_{2} = \frac {5}{0.75}[/tex]
[tex] P_{2} = 6.67[/tex]
P2 = 6.67 atm
Therefore, the new pressure is 6.67 atm.
Which type of map best shows the three dimensions of Earth’s surface?
Answers
Answer:
please give me brainlist and follow
Explanation:
topographic map
A topographic map shows a three-dimensional representation of a flat surface. It has contour lines joining points of equal elevation; the closer the lines are the steeper the elevation is.
A Navy vessel is traveling due north during wartime. A torpedo has been launched by an enemy directly toward the stern (rear) of the vessel. Can the vessel outrun the torpedo if both continue in a straight line due north?
A) Yes, the Navy vessel is faster
B) No, the Navy vessel is slower
C) Maybe, since both travel at the same speed
D) Maybe, based on the temperature of the water
Answers
Answer:
The correct option is;
B) No, the Navy vessel is slower
Explanation:
The speed of some torpedoes can be as high as 370 km/h. The average speed of a fast Navy vessel is approximately 110 km/h
Therefore, the torpedoes travel approximately 3 times as fast as the (slower) Navy vessel, such that the torpedo covers three times the distance of the Navy vessel in the same time and therefore, if the Navy vessel and the torpedo continue in a straight line (in the same direction) due north the vessel can not outrun the torpedo
Therefore, no the Navy vessel travels slower than a torpedo.
What is the power of a circuit with voltage 12 V and current 8.0
A?
Answers
Answer:96 W
Explanation:
If force 1 has a magnitude of 5 N (forward) and force 2 has a magnitude of 30 N (forward), what is the net force acting on the object?
A.) 25 N forward
B.) 35 N forward
C.) 25 N backwards
D.) 35 N backwards
Answers
GIVING BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 23pts-
Answers
Answer:
B is the answer!!
Explanation:
Two resistors, 2.50 Ω and 4.95 Ω, are wired in series to a 12.00 V battery. What is the equivalent resistance of the circuit?
Answers
Answer:
7.45 Ω
Explanation:
From the question given above, the following data were obtained:
Resistor 1 (R₁) = 2.50 Ω
Resistor 2 (R₂) = 4.95 Ω
Voltage (V) = 12 V
Equivalent Resistance (Rₑq) =?
Since the resistors are in series arrangement, the equivalent resistance can be obtained as follow:
Rₑq = R₁ + R₂
Rₑq = 2.5 + 4.95
Rₑq = 7.45 Ω
Therefore, the equivalent resistance is 7.45 Ω
A squash ball with an initial velocity of 19.21 m/s [W] is hit by a squash racket, changing its velocity to 40.22 m/s [E] in 0.312 s. What is the squash ball’s average acceleration?
Answers
Acceleration = (change in velocity) / (time for the change)
Change in velocity = 59.43 m/s East
Time for the change = 0.312 s
Acceleration = 190.5 m/s^2 East
What is the equivalent of 0° C in Kelvin?
Help will give brainiest
Answers
Answer:
273.15 dat is the answer im pretty sure
Why isn't nuclear fusion used to generate electric energy in power plants?
A.
It requires extremely high pressure.
B.
It uses a very rare radioactive isotope.
C.
It releases less energy per gram than uranium does.
D.
It requires converting matter into energy.
Answers
Answer:
A) It requires extremely high pressure.
Explanation:
The reasons why we haven't been able to harness power from fusion is that its energy requirements are unbelievably, terribly high.
The correct statement is: "nuclear fusion requires extremely high pressure."
To find the correct statement among all the options, we need to know about nuclear fusion.
What is nuclear fusion?
Nuclear fusion is a nuclear reaction in which nuclei are fused to form another nucleus and releases some energy.How much pressure is required for nuclear fusion?
In a nuclear fusion reaction, 250 billions atmospheric pressure is required. One atmospheric pressure is 101325 pascals.Creating this much pressure is very much difficult.How much energy is released during nuclear fusion?
In nuclear fusion, 17.6 MeV energy is released in a single reaction. Since, two hydrogen atoms are participated, so energy released per nucleon is 8.8 MeV.What is the comparison of energy that released in nuclear fusion and fission?
In a nuclear fission reaction, 200 MeV energy is released in a single reaction and energy per nucleon is less than 1 MeV as an uranium has 238 nucleons.So, nuclear fusion reaction releases more energy as compared to that of nuclear fission.How does we get energy in the nuclear fusion reaction?
In a nuclear fusion reaction, two hydrogen atoms are fused to form a helium atom and the energy is released due the binding energy differences of hydrogen and helium atoms.Thus, we conclude that option (A) is correct.
Learn more about nuclear fusion here:
https://brainly.com/question/17870368
#SPJ2
Activity
Launch the Wave on a String simulation again to investigate the relationship between amplitude and damping force.
To begin:
• Select Oscillate and No End.
• Set Amplitude to 1.00 cm and Frequency to 1.00 Hz,
• Set Damping to None and Tension to low.
• Select Rulers to measure the amplitude of the waves.
For each measurement described below, pause the wave when the oscillator arm is at or just past its maximum
Part A
You can see that each wave has a crest and a trough. Measure the amplitude at the first crest to the center of the ball and record your reading in
the table below. Record amplitude measurements for every subsequent trough and crest, as identified in the table.
Finally, vary the Damping as indicated in the table and record your amplitude readings again for each different damping value to complete the
table. Each division is 5 units of dampening force, where None = 0, and Lots = 50.
illustration
Amplitude of Wave 1 E Amplitude of Wave 2 Amplitude of Wave 3
(crest)
(crest)
(crest)
Answers
Light waves are
A.rotating waves.
B.longitudinal waves.
C.circular waves.
D.transverse waves
Answers
SHOCKING
Explanation:
Answer:
D i promises.
Explanation:
light waves can go 2 direction
what are the uses of convex lens
Answers
Answer:A convex lens is employed in microscopes and magnifying glasses to converge all incoming light rays to a particular point. ...
The convex lens is used in cameras. ...
A convex lens is used for the correction of hyperopia. ...
The converging lens is used in the projector as well.
Name three (3) organelles that are found in plant cells that are not commonly found in animal cells?
Answers
Answer:
cell wall, chloroplasts, plastids
Milk is a very weak acid. What might its pH value be ?
Answers
Answer:
pH value is between 6.5 and 6.8
Explanation:
Explanation:
Milk fresh from the cow typically has a pH between 6.5 and 6.7. The pH of milk changes over
Define the types of friction and give FOUR examples of each
Static Friction
Rolling Friction
Sliding Friction
Fluid Friction
Answers
example: pushing against a heavy box but it isnt moving due to the weight of the box and gravity pulling it down
Rolling friction is a resistive force that slows down something thats rolling such as a ball or a wheel
example: a rolling soccer being slowed down from grass
Sliding Friction is the friction created from two object sliding against eachother, just like kinetic friction. It is intended to make the object stop
example: A sled sliding down a hill against snow
Fluid Friction is the force that resist motion in fluid or something moving around a fluid.
example: water pushing against a swimmer when swimming through it
will give brainlist.
Answers
Answer:
Displacement (km)
Explanation:
The y axis is the vertical axis pointing up and down. This is labeled as the the displacement (km) in the graph.
What happens to energy when it is consumed?
Answers
Answer:
It converts to other energy
Waves that move through space are called
Answers
Answer:
Electromagnetic waves are waves that can travel through matter or through empty space
A 20 g block of ice is cooled to −65 ◦C. It
is added to 570 g of water in an 76 g copper
calorimeter at a temperature of 26◦C.
Find the final temperature. The specific
heat of copper is 387 J/kg ·
◦C and of ice is
2090 J/kg ·
◦C . The latent heat of fusion of
water is 3.33 × 10^5
J/kg and its specific heat
is 4186 J/kg ·
◦C .
Answer in units of ◦C.
Answers
Answer:
The final temperature is approximately 23.55°C
Explanation:
The given parameters are;
The mass of the ice block, m₁ = 20 g
The initial temperature of the block, T₁ = -65°C
The mass of the water to which the block is added, m₂ = 570 g
The mass of the copper container containing the water, m₃ = 76 g
The initial temperature of the water and the copper, T₂ = 26°C
The specific heat capacity of copper, c₃ = 387 J/(kg·°C)
The specific heat capacity of ice, c₄ = 2,090 J/(kg·°C)
The latent heat of fusion of ice, l = 3.33 × 10⁵ J/kg
The specific heat capacity of water, c₁ = 4,186 J/(kg·°C)
We have;
ΔQ = m₁·c₁·ΔT + m₁·l = m₂·c₂·ΔT + m₃·c₃·ΔT
Therefore, we get;
20 × 2,090 × -65 + 20 × 3.33 × 10⁵ + 20 × T × 4,186 = 570 × 4,186 × (26 - T) + 76 × 387 × (26 - T)
Using a graphing calculator, we get;
83720·T + 3943000 = 62801232 - 2415432·T
The final temperature, T ≈ 23.55 °C
All waves change speed when they enter a new medium, but they don't always bend. When does bending occur?
Answers
A 2.5m long steel piano wire has a diameter of 0.5cm how great is the tention in the wire if it stretches by 0.45cm when tightened taking the young's modulus to be 2.0×10^11 N/m^2
Answers
Answer: Their u go i found it their was about 3 pages i did not no what pages u had to do.
Explanation:
Which of the following scenarios would result in an increase of kinetic
energy?*
A) An object at rest at a height of 10 meters
B) A car accelerating from 10 m/s to 20 m/s
C) A car coming to a stop
Answers
Answer:
B) A car accelerating from 10 m/s to 20 m/s
Explanation:
I explained this yesterday.
What are examples of changes in people, animals, or objects that would help you make a claim about their age? NO LINKS OR YOURE GETTING REPORTED. Thanks
It’s Earth Science
Answers
Answer:
An example of changes in people based on their age, are mood changes,playfulness and as of objects you can say old or broken, animals can use the same reference as humans, the more mature you are can suggest your older, such as the more worn down your are based on a object
Which describes the motion in a convection current? horizontal motion only vertical motion only linear motion circular motion
Answers
Answer:
circular motion
Explanation:
Circular motion can be regarded as
movement of particular object along the circumference in a circle. It is
rotation of particular object along a circular path. Circular motion could be
uniform, along with constant angular rate of rotation as well as constant speed. It could also be non-uniform along with changing rate of rotation. The acceleration that is been experienced when one is in uniform circular motion is called"Centripetal acceleration"
Convection currents is type of current that takes place after a reservoir of fluid has been heated at the bottom, then cool at the top.the fluid expand as a result of Heat , then density decreases, the plates on top of them is been carried as a result of circular motion of the convection
A convention current is a circular movement which is set up due to temperature difference between two layers of a fluid.
What is a convection current?A convention current is a movement which is set up due to temperature difference between two fluids.
Convection currents are set up in liquids and gases.
Hotter and less dense fluids move upwards while colder and denser fluids move downwards.
Therefore, convection currents involve circular motion.
Learn more about convection currents at: https://brainly.com/question/25957304
Please Help Me!!!
Water is a colorless and odorless liquid. It can exist in solid, liquid, and gas states. It boils at 100 degrees C and melts at 0 degrees C.
Which option best describes this information?
A.
These are the physical properties of water.
B.
These are the chemical properties of water.
C.
These are the physical changes water undergoes.
D.
These are the chemical changes water undergoes.
E.
These are the molecular changes water undergoes.
Answers
Answer:
There are the molecular changes water undergoes
The Doppler Effect is caused by which of the following?
Select all that apply…
A - motion of the source
B - the type of wave
C - original frequency of the source
D - motion of the observer
E - type of medium the wave is in
Answers
Answer:
the type of wave
Explanation:
Description: Doppler Effect works on both light and sound objects. For instance, when a sound object moves towards you, the frequency of the sound waves increases, leading to a higher pitch. Conversely, if it moves away from you, the frequency of the sound waves decreases and the pitch comes down.
Give 1 real life example of a scenario that takes advantage of the inverse relationship between force and time when impulse is constant. Describe how it is an example of impulse and how force and time are involved.
Answers
Answer:
On real life example of a scenario that takes advantage of the inverse relationship between force and time when impulse is constant is when making a serve with a lawn tennis racket
How It is an example of impulse is that when a serve is made by moving the bat slowly, the lawn tennis player uses less force and the ball is in contact with the string for longer a period
When however, the lawn tennis player moves the racket faster, with the strings of the racket highly tensioned he uses more force and the ball also spends less time on the racket to produce the same momentum
Explanation:
The impulse of a force, ΔP is given by the following formula;
ΔP = F × Δt
Where ΔP is constant, we have;
F ∝ 1/Δt
Therefore, for the same impulse, when the force is increased, the time of contact is decreases and vice versa.
