A tank is 6 m long, 4 m wide, 2 m high, and contains kerosene with density 820 kg/m3 to a depth of 1.5 m. (Use 9.8 m/s2 for the acceleration due to gravity.) (a) Find the hydrostatic pressure on the bottom of the tank. 12054 Correct: Your answer is correct. Pa (b) Find the hydrostatic force on the bottom of the tank. 289296 Correct: Your answer is correct. N (c) Find the hydrostatic force on one end of the tank. 54243 Incorrect: Your answer is incorrect. N
Answers
Answer:
(a) The hydrostatic pressure at the bottom of the tank is 12,054 Pa
(b) The hydrostatic force at the bottom of the tank is 289,296 N
(c) The hydrostatic force on one end of the tank is 36,162 N
Explanation:
The dimensions of the tank are;
The length of the tank, l = 6 m
The width of the tank, w = 4 m
The height of the tank, h = 2 m
The density of kerosene in the tank, ρ = 820 kg/m³
The depth of kerosene in the tank, d = 1.5 m
The acceleration due to gravity, g = 9.8 m/s²
(a) The hydrostatic pressure at the bottom of the tank, 'P', is given by the following formula
P = ρ·g·h
P = 820 kg/m³ × 9.8 m/s² × 1.5 m = 12,054 Pa
The hydrostatic pressure at the bottom of the tank, P = 12,054 Pa
(b) The hydrostatic force at the bottom of the tank, F = P × A
Where;
A = The area of the base of the tank = l × w
∴ A = 6 m × 4 m = 24 m²
∴ F = 12,054 Pa × 24 m² = 289,296 N
The hydrostatic force at the bottom of the tank, F = 289,296 N
(c) Taking one end of the tank as one of the width (4 m) side of the tank, the hydrostatic force on one end of the tank, [tex]F_E[/tex], is given as follows;
The cross-sectional area of a layer, [tex]A_i[/tex] = 4·dy
Therefore, the pressure at a given depth, [tex]P_i[/tex] = ρ·g·[tex]y_i[/tex]
The force at the given depth, [tex]F_i[/tex] = [tex]A_i[/tex] × [tex]P_i[/tex]
∴ [tex]F_i[/tex] = [tex]P_i[/tex]·4·dy = ρ·g·[tex]y_i[/tex]·4·dy
The force at the given depth, [tex]F_i[/tex] = ρ·g·[tex]y_i[/tex]·4·dy
The force at one end, [tex]F_E[/tex]
[tex]F_E[/tex] = [tex]\int\limits^{1.5}_0 {F_i \, dy = \int\limits^{1.5}_0 {(4 \cdot \rho} \cdot g \cdot y) \, dy = \left [4 \cdot \rho} \cdot g \cdot \dfrac{y^2}{2} \right]^{1.5}_0 = 4 \times \rho} \times g \times\dfrac{1.5^2}{2}[/tex]
∴ [tex]F_E[/tex] = 4 m × 820 kg/m³ × 9.8 m/s² × (1.5²)/2 m² = 36,162 N
The hydrostatic force on one end of the tank, [tex]F_E[/tex] = 36,162 N
(For the length side, the force is 6×820×9.8×(1.5²)/2 = 54,243 N)
Related Questions
if i travel to an unknown planet where the mass is twice that of mass earth , what would my mass on this planet be A. Greater then your weight on earth. B. Less than your weight on earth. C. The same as your weight on earth
Answers
Answer:
I think it would be C since it doesn't say anything about the gravity, basically things around u change, but you don't change
Explanation:
Sorry if I got this wrong, hope this helped and have a nice day!
A 2000-kg elevator is at rest when its cable breaks. The elevator falls 26 m before it encounters a giant spring at the bottom of the elevator shaft. As the elevator falls, its safety clamp applies a constant frictional force of 17,000 N. 1. List all the forces acting on the elevator after the cable breaks but before it hits the spring. Determine the work done by each force on the elevator. Make sure these work terms have the appropriate signs (positive or negative). 2. Calculate the net work done on the elevator. 3. Use the work-kinetic-energy theorem to determine the speed of the elevator right before it encounters the spring. 4. After the elevator encounters the spring, the spring compresses by 0.6 m before the elevator comes to rest. The safety clamp continues to apply a constant 17,000 N force. List all the forces acting on the elevator while it falls this final 0.6 m. 5. For each force listed in question F4, determine an expression for the work it does on the elevator. Make sure each work term has the appropriate sign (positive or negative). 6. Use the work-kinetic-energy theorem to determine the value of the spring constant k.
Answers
Explanation:
work done =force *distance
work done =17000*26
work done=442,000 joules.
A bar magnet has
a. one magnetic pole.
b. two magnetic poles.
c. three magnetic poles.
d. four magnetic poles.
Answers
Answer:
b
Explanation:
Bar magnets have two magnetic poles
1.Briefly describe the wind motion of the stationary front
.
2.What is another name for stationary front.
Answers
Answer:
stationary front is when it is not moving that is why weather is the same in some areas
Explanation:quasi-stationary front
1. What is the ideal mechanical advantage of a wedge that is 12 cm long
and 4 cm wide?
A. 16
B. 48
C. 3
D. 8
Answers
A 95-kg astronaut is stranded from his space shuttle. He throws a 2-kg hammer away from the shuttle with a velocity of 19 m/s. How fast will he be propelled toward the shuttle, in m/s? (Round your answer to one decimal place if necessary.)
Answers
Answer:
The astronaut will be propelled towards the shuttle at the rate of 0.4 m/s.
Explanation:
Given;
mass of the astronaut, m₁ = 95 kg
mass of the hammer thrown, m₂ = 2 kg
velocity of the hammer, v₂ = 19 m/s
let the recoil velocity of the shuttle = v₁
Apply the principle of conservation of linear momentum;
m₁v₁ = m₂v₂
v₁ = m₂v₂/m₁
v₁ = (2 x 19) / 95
v₁ = 0.4 m/s
Therefore, the astronaut will be propelled towards the shuttle at the rate of 0.4 m/s.
A 100 W engine generates 1000 J of energy. How long did it run for?
A. 1 s
B. 10 s
C. 5 s
D. 100 s
Answers
Answer:
B. 10 s
Explanation:
Given the following data;
Power = 100 Watts
Energy = 1000 Joules
To find the time;
Power can be defined as the energy required to do work per unit time.
Mathematically, it is given by the formula;
[tex] Power = \frac {Energy}{time} [/tex]
Making time the subject of formula, we have;
[tex] Time = \frac {Energy}{Power} [/tex]
Substituting into the formula, we have;
[tex] Time = \frac {1000}{100} [/tex]
Time = 10 seconds
uppose that white light strikes a flat piece of flint glass in air, coming in at an angle of 60 degrees to the surface (30 degrees from the normal or perpendicular). The index of refraction of this dense glass for red light is 1.710, for green light is 1.723, and for blue light is 1.735. What is the order of colors you would see in the refracted light inside the glass as they leave the surface
Answers
Answer:
Explanation:
Snell's law for index of refraction of a medium is as follows .
sin i / sin r = μ
i is angle of incidence , r is angle of refraction and μ is refractive index.
sin r = sin i / μ .
As μ for blue light is greatest , angle of refraction for blue light will be least . Similarly , angle of refraction will be maximum for red light .
So maximum deviation in the direction of light will occur in blue light due to least angle of refraction because
deviation angle = angle of incidence - angle of refraction .
So the order of light from inward towards surface
= blue , green , red .
Which of the following is the tendency of a system to become more
disordered?
A. Energy
B. Heat
C. Entropy
D. Efficiency
Answers
Answer:
b
Explanation:
the more heat the hotel it get which cause more heat
Answer: C. Entropy
Explanation: a pex :)
three difference between boiling and temperature of a liquid.
Answers
When a liquid is boiling that means it has gotten heated to the point where the oxygen particles start rising towards the top of the liquid.
When a liquid has a temperature (as it always will) it can be read, however, a liquid does not need to be hot to have a temperature.
A liquid requires an extremely high level of heat (thermal energy) to begin boiling, while a liquid doesn't require any heat to have a temperature.
The difference between the two is that boiling requires high heat and a temperature doesn't require heat (That is 3 total the ones above count).
Hope this helps and have a nice day.
-R3TR0 Z3R0
explain why radiation is dangerous for humans
Answers
Answer:
because it affects the attom in living things
A light string is wrapped around the edge of the smaller disk, and a 1.50 kgkg block is suspended from the free end of the string. If the block is released from rest at a distance of 2.40 mm above the floor, what is its speed just before it strikes the floor
Answers
Answer:
The speed of the block before it strikes the floor is 0.217 m/s.
Explanation:
Given;
mass of the block, m = 1.5 kg
height above the ground through the block was released, h = 2.4 mm = 2.4 x 10⁻³ m
The speed of the block before it strikes the floor will be maximum.
Let the speed of the block before it strikes the floor = v
Apply the principle of conservation of mechanical energy to determine the speed of the block.
K.E = P.E
¹/₂mv² = mgh
¹/₂v² = gh
v² = 2gh
v = √2gh
v = √(2 x 9.8 x 2.4 x 10⁻³)
v = 0.217 m/s
Therefore, the speed of the block before it strikes the floor is 0.217 m/s.
Read the following statements. Which statement provides the correct definition of weather? Select your answer from the options below. * 1 point
Atmospheric conditions at a specific time in a specific area
Atmospheric conditions over a period of time in a specific area
Average atmospheric conditions over a period of time in a region
Average atmospheric conditions across the world
Answers
Answer:
In one day, a store sells 14 pairs of jeans. The 14 jeans represent 20% of the total number of items sold that day. How many items did the store sell in one day? Explain or show how you got your answer.
plz help with the qsn
Explanation:
can someone pls help
Answers
Answer:i
Explanation:∩
The potential energy of an object is 16.0 joules. The object is 145cm high.
What is the mass of the object?
Answers
Answer:
I don't know but you got this!!
3. How much work is necessary to lift 10 kg 5m in the air?
1) 10N
3) 490 J
2) 50 J
4) 4900 J
Answers
Answer:
I'm not 100 percent sure but I have had a question very similar to this and I think 2.)50 j
Two adjacent students stand on stationary skateboards, face each other, and
push apart. The skateboarder on the left weighs 55 kg, the one on the right is
65 kg. If the lighter skateboarder moves at 4.2 m/s, determine the speed and
direction of the heavier skateboarder.
Answers
Because of surface tension, it is possible, with care, to support an object heavier than water on the water surface. The maximum thickness, h, of a square material that can be supported is assumed to be a function of the length of the side of the square, the density of the material, the acceleration of gravity, and the surface tension of the liquid. Develop a suitable set of dimensionless parameters for this problem.
Answers
Answer:
[tex]\pi 1 = \frac{h}{l}[/tex]
[tex]\pi 2 =[/tex] б / [tex]l^2gp[/tex]
[tex]\frac{h}{l} =[/tex] Ф ( б / [tex]l^2gp[/tex] )
Explanation:
Develop a suitable set of dimensionless parameters for this problem
The set of dimensionless parameters for this problem is :
[tex]\pi 1 = \frac{h}{l}[/tex]
[tex]\pi 2 =[/tex] б / [tex]l^2gp[/tex]
[tex]\frac{h}{l} =[/tex] Ф ( б / [tex]l^2gp[/tex] )
and they are using the pi theorem, MLT systems
attached below is a detailed solution
A metal cube 1.0 cm on each side is sandwiched between two electrodes. The electrodes create a 0.0050N/C electric field in the metal. A current of 9.0 A passes through the cube, from the positive electrode to the negative electrode. Identify the metal.
a-Tungsten
b-gold
c-silver
d-copper
Answers
Answer:
This is Tungsten .
Explanation:
Electrical field E = V / l , V is potential diff and l is length
.005 = V / .01
V = .005 X .01 = 5 X 10⁻³ volts
I current = 9A
Resistance R = V / I
= 5 x 10⁻³ / 9
= 5.55 x 10⁻⁶ ohm .
To calculate resistivity :
R = ρ l / S , l is length , S is cross sectional area
5.55 x 10⁻⁶ = ρ x .01 / .01 x .01
ρ = 5.5 x 10⁻⁸
This is Tungsten .
To determine the pressure in a fluid at a given depth with the air-filled cartesian diver, we can employ Boyle's law, which states that the pressure in an ideal gas (held at constant temperature) is inversely proportional to its volume. At a fluid's surface, the pressure of the fluid is the same as the pressure of the atmosphere just above it, which we'll denote as LaTeX: P_{atm}P a t m. If the volume of air, which can be treated as an ideal gas here, in the cartesian diver decreases by 19% as it is lowered to a specific depth in the fluid, the pressure of the fluid at this depth, in terms of atmospheric pressure, is
Answers
Answer:
The pressure at this depth is [tex]1.235\cdot P_{atm}[/tex].
Explanation:
According to the statement, the uncompressed fluid stands at atmospheric pressure. By Boyle's Law we have the following expression:
[tex]\frac{P_{2}}{P_{1}} = \frac{V_{1}}{V_{2}}[/tex] (1)
Where:
[tex]V_{1}, V_{2}[/tex] - Initial and final volume.
[tex]P_{1}, P_{2}[/tex] - Initial and final pressure.
If we know that [tex]V_{2} = 0.81\cdot V_{1}[/tex], then the pressure ratio is:
[tex]\frac{P_{2}}{P_{1}} = 1.235[/tex]
If [tex]P_{1} = P_{atm}[/tex], then the final pressure of the gas is:
[tex]P_{2} = 1.235\cdot P_{atm}[/tex]
The pressure at this depth is [tex]1.235\cdot P_{atm}[/tex].
The pressure of the fluid at this depth will be "1.16 [tex]P_{atm}[/tex]".
Pressure and VolumeAccording to the question,
Let,
The volume of surface be "100 units".
then,
The volume of depth be:
= 100 - 14
= 86 units
We know the relation,
P ∝ [tex]\frac{1}{V}[/tex]
here, PV = Constant
By using Boyle's law,
→ P₁ V₁ = P₂ V₂
or,
→ P₂ = [tex]\frac{P_1 V_1}{V_2}[/tex]
By substituting the values, we get
= [tex]\frac{P_{atm}\times 100}{86}[/tex]
= 1.16 [tex]P_{atm}[/tex]
Thus the above answer is appropriate.
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Which DOES NOT happen during the phase change from liquid to solid?
Kinetic energy decreases
Particles move slower
Freezing occurs
Temperature increases
Answers
Answer:
Temperature increases
During the phase transition from liquid to solid, kinetic energy diminishes, particles move slower, and freezing occurs.
Phase change:Extreme heat is more likely to occur as a result of rising temperatures, and it will last longer. Heatwaves can indeed be deadly, resulting in manifestations including heat kinks and heat exhaustion, as well as death.
Warmer temperatures have the potential to trigger a cascade of other changes around the world.The greenhouse effect is worsened by these gas emissions, which cause the earth's crust temperature to rise. Burning fossil fuels has the greatest impact on climate change of any human activity.Since in changement from liquid to solid the temperature will decrease.Therefore, the final answer is "Temperature increases".
Find out more about the phase change here:
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In the “Elastic Collision" part of this activity, what happened to the momentum of the red cart after the collision? What happened to the momentum of the blue cart after the collision?
Answers
Explanation:
Elastic collision between balls of equal mass viimis 1.5 mys 1.5m/s 1! mis ... Make a data table for the following: mass, velocity and momentum of each ball before ... Part 2 moving faster. ... Summary: Describe the main ideas learned in this activity regarding initial and ... Collision 2: Blue Cart Moving Slower than the Red Cart.
12. Which of the following observations provides the best evidence for the claim that gravity acts between
objects across a distance?
A. Heavier objects have more gravity acting on them
B. The moon orbits Earth due to a gravitational field
C. An object at rest on the ground doesn't respond to gravity
D. Objects float freely in space where there is no gravity
Answers
The moon orbits Earth due to a gravitational field. This observations provides the best evidence for the claim that gravity acts between objects across a distance.
What is the Universal Law of Gravitation?According to Newton's Law of Universal Gravitation, every particle in the cosmos is drawn to every other particle with a force that is directly proportional to the product of their masses and inversely proportional to their distance from one another.
The moon orbits Earth due to a gravitational field of the earth. Gravity, an attraction force that acts on all objects, keeps the Moon in its orbit. Satellites can orbit a body and fall around it rather than into it if the speed and gravity are just right. Hence, option (B) is correct.
Learn more about Gravity here:
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A uniform electric field of magnitude 106 kV/m is directed upward in a region of space. A uniform magnetic field of magnitude 0.48 T perpendicular to the electric field also exists in this region. A beam of positively charged particles travels into the region. Determine the speed of the particles at which they will not be deflected by the crossed electric and magnetic fields. (Assume the beam of particles travels perpendicularly to both fields.) m/s
Answers
Answer:
[tex]220833.33\ \text{m/s}[/tex]
Explanation:
[tex]E[/tex] = Electric field = [tex]106\ \text{kV/m}[/tex]
[tex]B[/tex] = Magnetic field = [tex]0.48\ \text{T}[/tex]
Velocity is given by
[tex]v=\dfrac{E}{B}[/tex]
[tex]\Rightarrow v=\dfrac{106\times 10^3}{0.48}[/tex]
[tex]\Rightarrow v=220833.33\ \text{m/s}[/tex]
The velocity of the particle is [tex]220833.33\ \text{m/s}[/tex].
Most stars are _____ compared to the sun.
slightly smaller
much bigger
much smaller
slightly bigger
Answers
.HOW DOES PHYSICAL EDUCATION BENEFIT YOUR EMOTIONAL HEALTH ?
Answers
Answer: reduce anxiety, depression, and negative mood and by improving self-esteem and cognitive function.
Explanation:
A solenoid consists of 4200 turns of copper wire. The wire has a diameter of 0.200 mm. The solenoid has a diameter of 1.00 cm. When the solenoid is connected to a 12.0 V battery, we observe that the current increases over time and is 155 mA after 1.50 milliseconds have passed. Assume that the internal resistance of the battery and connecting wires is negligible.
Required:
a. What is the length of wire needed to form the solenoid?
b. What is the inductance of the solenoid?
c. What is the length of the solenoid?
d. What will be the current after three time constants have elapsed?
Answers
Answer:
a. The length of the solenoid wire is approximately 131.95 m
b. The inductance of the solenoid is approximately 2.078 × 10⁻³ H
c. The length of the solenoid is 0.84 m
d. The current after three time constants have elapsed is approximately 456.1 A
Explanation:
The given parameters are;
The number of turns in the solenoid, N = 4,200 turns
The diameter of the wire, d = 0.200 mm
The diameter of the solenoid, D = 1.00 cm
The voltage of the battery connected to the solenoid, V = 12.0 V
The current increase = 155 mA
The time for the increase = 1.50 millisecond
The internal resistance of the battery is negligible
a. The length of wire needed to form the solenoid, l = π·D·N
∴ l = π × 0.01 × 4,200 ≈ 131.95
The length of the solenoid, l ≈ 131.95 m
b. The inductance, 'L', of the solenoid is given as follows;
[tex]L = \dfrac{\mu_0 \cdot N^2 \cdot A}{l}[/tex]
Where;
μ₀ = 12.6 × 10⁻⁷ H/m
N² = 4,200²
A = The cross sectional area of the solenoid = π·D²/4
l = Length of the solenoid = d × N = 0.0002 m × 4,200 = 0.84 m
∴ L = (12.6 × 10⁻⁷ × 4,200² × 0.01² × π/4)/0.84 ≈ 0.002078 = 2.078 × 10⁻³
The inductance, L ≈ 2.078 × 10⁻³ H
c.) The length of the solenoid = d × N = 0.0002 m × 4,200 = 0.84 m
The length of the solenoid = 0.84 m
d. The current after three time constant
We have;
∈ = -L × di/dt
di/dt = 155 mA/1.5 ms = 103.[tex]\overline 3[/tex] A/s
∈ = 103.[tex]\overline 3[/tex] A/s × 2.078 × 10⁻³ H = 0.21472[tex]\overline 6[/tex] V
We have;
[tex]\tau = \dfrac{t}{\left(ln\dfrac{1}{1-\dfrac{Change}{Final-Start} } \right)}[/tex]
The change in voltage = 0.21472[tex]\overline 6[/tex] V
The start voltage = 0 V
The final voltage = 12.0 V
t = 1.5 ms = 0.0015 s
We get;
[tex]\tau = \dfrac{0.0015}{\left(ln\dfrac{1}{1-\dfrac{0.21472\overline 6}{12-0} } \right)} \approx 8.3076\times 10^{-2}[/tex]
τ = L/R
Therefore,
R = L/τ =
The resistance = 2.078 × 10⁻³/(8.3076×10⁻²) = 0.0250
The resistance = 0.0250 Ω
[tex]I= \dfrac{V}{R} \cdot \left(1 - e^{-\dfrac{t}{\tau} }\right)[/tex]
Therefore, after three time constants, we have;
∴ I = (12.0/(0.0250)) × (1 - e⁻³) ≈ 456.1
The current after three time constants have elapsed, I ≈ 456.1 A.
Part A
n
Rank the light intensity, from largest to smallest, at the point P in the figures.
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E
D
C
B
A
2 bulbs
3 bulbs
00
4 bulbs
XOXO
1 bulb
2 bulbs
co
T0.5 m
1.0 m
1.5 m
个
1.0 m
p
2.0 m
P
P
OP
Largest
Smallest
Answers
I=Pd2
I
=
P
d
2
I=
d
2
P
Therefore we can write an equation
The light intensity from largest to smallest ranking will be :
B > D > A=C > E
What is intensity ?
In physics, the intensity is the power transferred per unit area, where the area is measured on the plane perpendicular to the direction of propagation of the energy
equation to find intensity is I = P/ 4π(d^2)
where P = Power
I = intensity
d = distance where the intensity need to be found
let power of 1 bulb be = P
case A = I = P / (1)^2 = P / 1 =P
case B = I = 2P/ (0.5)^2 = 8P
case C = I = 4P / (2)^2 = P
case D = I = 3P / (1)^2 = 3P
case E = I = 2P /(1.5)^2 = 0.8 P
The light intensity from largest to smallest ranking will be :
B > D > A=C > E
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Which of the following can be studied by science?
O A. Value judgments
O B. Matters of opinion
O C. Questions of right and wrong
O D. Natural phenomena.
Answers
A continental polar air mass forms in
a. the Pacific Ocean.
b. northern Canada.
c.
the Gulf of Mexico.
the desert Southwest.
d.
Please select the best answer from the choices provided
А
B
ОООО
С
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my uq xbbbnxnjjxjxusjhhhwhhhnn he c x. Yes suhsjjdhhehy yes eirui
M I was going ask m
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Answers
Answer:
B. Northern Canada
Explanation:
A continental polar air mass can form over the land during the winter months. In the Northern Hemisphere, it originates in northern Canada or Alaska. As it moves southward, it brings dry weather conditions to the United States. Temperature and humidity levels are both low. Hope this helps :)