Image of the tank has been attached.
From online sources, we will use radius r = 9 meters with a spout of height h = 3 meters.
Answer:
W = 75800 KJ
Explanation:
Let's assume that we inscribe a cylinder which is x units from the center of the sphere and also has a height denoted by ∆x.
Now, At the center of the sphere with radius r, the equation of the sphere is given as:
x² + y² + z² = r².
Now, at the point location where the cylinder is x units from the center point, the width(y) of the sphere will be gotten as:
0² + y² + x² = 9²
y² + x² = 81
y² = 81 - x²
Thus;
y = √(81 - x²)
So y = r is the radius of the cylinder.
Thus; volume of the cylinder is given as:
V = πr²h
∆V = π(81 - x²)∆x
Integrating, we have;
V = π(81 - x²)
The weight of the water is given as:
F = mg
We know that density is;
ρ = m/V
So, m = ρV
Thus;
F = ρVg
F = (900)[π(81 - x²)](9.8)
F = 8820π(81 - x²)
Work needed to move this water up is;
W = Fd
The water will move up x to units to the center which is 9 units up to the top of the sphere, and 3 units to get to the top of the spout. Thus, d = 9 + 3 + x = 12 + x
Thus;
W = 8820π(81 - x²)(12 + x).
Due to the fact that x varies from -9 to 0 at the bottom half of the sphere, the required work will be;:
W = ∫8820π(81 - x²)(9 + x)dx (from x = -9 to 0)
Using online integral calculator, we have;
W = 8820π × 2733.75
W = 75749.061 KJ
To 3 significant figures = 75800 KJ
Which of the following is a pure substance?
A soccer player kicks a soccer ball (m = 0.42 kg) accelerating from rest to 32.5m/s in 0.21s. Determine the force that sends soccer ball towards the goal.
Plis I need Help:(
Answer:
F=65 N
Explanation:
Uniform Acceleration
When an object changes its velocity at the same rate, the acceleration is constant.
The relation between the initial and final speeds is:
[tex]v_f=v_o+a.t[/tex]
Solving for a:
[tex]\displaystyle a=\frac{v_f-v_o}{t}[/tex]
Where:
vf = Final speed
vo = Initial speed
a = Constant acceleration
t = Elapsed time
The ball is kicked from rest vo=0 to vf=32.5 m/s in t=0.21 s. Computing the acceleration:
[tex]\displaystyle a=\frac{32.5-0}{0.21}[/tex]
[tex]a=154.8\ m/s^2[/tex]
Note: We have shown this result rounded to the nearest tenth, but we kept all the decimals in a scientific calculator for further calculations.
The force needed to accelerate the soccer ball is calculated by:
F = ma
The ball has a mass of m=0.42 kg, thus:
F=0.42*154.8
F=65 N
As mentioned, this result can only be obtained by keeping full precision in the above calculations.
You decide to do an experiment to investigate Newton's Third Law. Below are several
example experiments you might run to help investigate your questions. Which one of the
following examples below are not related to Newton’s Third Law?
A. You and a friend push on each other’s hands while wearing roller blades and
observe the force of the shove.
B. You set a ball on the ground and observe the force of gravity on the ball
C. You stand on the bathroom scale and then decide to jump off and observe the
change in the reading.
D. You drive a remote-controlled car and observe the force at work
Answer:
C
Explanation:
You stand on the bathroom scale and then decide to jump off and observe the
change in the reading.
A woman lives on the eighth floor of an apartment building. She works in a high-rise office building 6.5 blocks away from her apartment on the same street. Her office is on the 14th floor. Assume each story of her apartment building is 4.0 m, each story of her office building is 5.5 m, and a block is 146.6 m long.
Required:
a. Sketch her path.
b. Estimate the distance she travels to work.
c. Find the magnitude of her displacement.
Answer:
b) d = 997.9 m , c) D = (952.9 i ^ +45 k ^) m , D = 953.6 m and θ = 2.7º
Explanation:
In this exercise we must add the distance traveled, remembering that the displacement is a vector and the distance a scalar.
a) The displacement scheme is the woman walks in her building A to descend to the lower floor 4.0 m, we assume that this includes the vertical displacement, until reaching the street level, the displacement is vertical in this part.
Being on the street, she travels the 6.5 blocks to reach the building where she works, they indicate that each block is 146.6 m, this movement is horizontal.
Upon reaching building B, she goes up to his office on the 14th floor where she travels 5.5m on each floor, it is assumed that the distance to go up to the upper floor is included, this displacement is vertical
b and c) Let's find the distance traveled and the displacement
in building A
Zₐ = 8 * 4.0
Zₐ = -32.0 m k ^
the vector k ^ indicates that the displacement is vertical and the negative sign that it is descending
on the street
[tex]X_{ab}[/tex] = 6.5 146.6
X_{ab} = 952.9 m i ^
the vector i ^ indicates that the displacement is the x-axis, we assume that the axis is in the direction of the displacement
in building B
[tex]Z_{b}[/tex] = 14 * 5.5
Z_{b} = 77 m k ^
displacement in the vertical axis and in the positive direction
now we calculate the distance traveled,
d = Zₐ + X_{ab} + Z_{b}
d = -32 + 952.9 + 77
d = 997.9 m
note that this value is a scalar
Let's calculate the displacement,
Z axis
[tex]Z_{total}[/tex] = Zₐ + Z_{b}
Z_{total} = -32 + 77
Z_{total} = 45 m k ^
X axis
X_{total} = X_{ab}
X_{total} = 952.9 m i ^
we can give the result in two ways
a) D = X_total i ^ + Z_total k ^
D = (952.9 i ^ +45 k ^) m
b) in module form and angles
Let's use the Pythagorean theorem
D² = [tex]X_{total}^2[/tex] + [tex]Z_{total}^2[/tex]
D = √(952.9² + 45²)
D = 953.6 m
We use trigonometry
tan θ = Z / X
θ = tan⁻¹ (Z / X)
θ = tan⁻¹ (45 / 952.9)
θ = 2.7º
this angle is measured from the positive side of the x axis towards the z axis
Can a golf ball bounce like a rubber ball? Due in 1 hour. 15 points.
Answer:
So, I tested it out and came to a conclusion.
The rubber ball is quite bouncy due to the fact that it is made of rubber which is what makes it bounce back and high, but although the golfball does in fact bounce back it does not bounce as high as the rubber ball due to the fact that it is made of plastic.
Explanation:
Hope this helps you out!
a 13-gram bullet, moving at 270 m/s, penetrates a 2 kg block of wood and emerges at a speed of 130 m/s. if teh block sits one a fricitonless surface, find its velocity after the bullet emerges.
Answer:
1.52m/s
Explanation:
Using the law of conservation of momentum
m1u1 + m2u2 = (m1+m2)v
m1 and m2 are the masses
u1 and u2 are the initial velocities
v is the final velocity
Substitute the given values into the formula
0.013(270)+2(130) = (270+130)v
3.51+260 = 400v
263.51 = 400v
v = 400/263.51
v = 1.52m/s
Hence the velocity after the bullet emerges is 1.52m/s
An electric eel develops a 450 V potential difference between its head and tail. The eel can stun a fish or other prey by using this potential difference to drive a 0.80 A current pulse for 1.0 ms. What are (a) the energy delivered by this pulse and (b) the total charge that flows
Answer:
(a) The energy delivered by the pulse is 0.36 J
(b) the total charge that flows is 0.8 mC
Explanation:
Given;
potential difference of the electric eel, V = 450 V
current flow, I = 0.8 A
time of current flow, t = 1.0 ms = 1.0 x 10⁻³ s
(a) The energy delivered by the pulse is calculated as;
E = Pt
where;
t is time
P is power developed = IV
E = (IV)t
E = IVt
where;
I is the current
V is the potential difference
E = 0.8 x 450 x 1.0 x 10⁻³
E = 0.36 J
(b) the total charge that flows is calculated as;
Q = It
where;
I is the current
t is the time
Q = 0.8 x 1.0 x 10⁻³
Q = 0.0008 C
Q = 0.8 mC.
PLEASE ANSWER ASAP BEFORE MY TEACHER AND MY MOM KILLES ME PLEASE ASAP
The first person with the right answer gets to be a brainlest
In the attachment there is a density column where there is colour
Question: tell me why is the red at the bottom of the density column if it is the least dense
Answer:
because it’s on the bottom, and to get to that part of it, think of it like that scene from moana when they go down into the realm of monsters they go through the thick parts to get to the thin parts, soo the cube wouldn’t be nearly able to reach that level
Explanation:
Answer:
the red at the bottom should not count, but the red at the top is the least dense because it floats upon the other liquids
Explanation:
hope this helps
What is buoyancy? How is it related to the force of gravity?
Answer:
buoyancy is the ability to float on water or other liquids. this relates to the force of gravity because the stronger that force, the more likely it is to sink.
Explanation:
3.7. A dog searching for a bone walks 3.50 m south, then 8.20 m at an angle 23.1 degrees north of east, and finally 15.0 m west. (a) What is the magnitude of the dog’s total displacement? (b) What is the direction of the dog’s total displacement where directly east is taken as zero degrees and counter-clockwise is positive?
Answer:
Explanation:
We shall represent displacement of dog in vector form , in terms of i , j , i representing east and j representing north .
Dog travels 3.5 m south .
Displacement D₁ = - 3.5 j
then dog travels 8.2 m , 23.1 degree north of east
Displacement D₂ = 8.2 cos23.1 i + 8.2 sin23 j
D₂ = 8.2 cos23.1 i + 8.2 sin23.1 j
= 7.54 i + 3.22 j
Third displacement
D₃ = - 15i
Total displacement = D₁ + D₂ + D₃
= - 3.5 j + 7.54 i + 3.22 j -15i
= - 7.46 i - 0.28 j
Magnitude of displacement = √ ( 7.46² + .28²)
= √(55.65 + .08 )
= 7.46 m
b ) Direction of displacement
If Ф be angle , displacement makes with west direction
TanФ = .08 / 55.65 = .00143
Ф = .082 degree south of west or almost west .
From east , this angle = 180 + .082 = 180.082 , counterclockwise .
Explain why this is synthesis reaction
Answer:
This is a synthesis reaction because two substances react to produce one substance.
Explanation:
Got it straight off plato.
Answer:
This is a synthesis reaction because two substances react to produce one substance.
Explanation:
A ray of light is incident from air into diamond at the surface with an angle of 70 degree. what is the angle it makes in the diamond if the refraction index of diamond is 2.42.
Answer: Angle is 18.66°
Explanation: When an incident light passes through two different media, the ray of light is refracted. Refraction is the bending of the light that happens when the wave changes its velocity while passing through a different surface.
The incident light makes an angle with the normal to the surface at a point. This angle is called Angle of Incidence. After going through the other medium, the wave makes a different angle with the normal. That angle is called Angle of Refraction.
Light changes velocity when passing through different media because each material has different index of refraction. For air, index of refraction is n = 1.
The incident angle, the refracted angle and index of refraction is related by the following formula, known as Snell's Law:
[tex]n_{1}sin\theta_{1}=n_{2}sin\theta_{2}[/tex]
where
n₁ is index of refraction of the incident medium
θ₁ is angle of incidence
n₂ is index of refration of the refracted medium
θ₂ is angle of refraction
For the ray of light incident from air into a diamond, the angle of refraction is
[tex]sin\theta_{2}=\frac{n_{1}sin\theta_{1}}{n_{2}}[/tex]
[tex]sin\theta_{2}=\frac{1*sin70}{2.42}[/tex]
[tex]sin\theta_{2}=0.32[/tex]
[tex]\theta_{2}=arcsin 0.32[/tex]
[tex]\theta_{2}=[/tex] 18.66
The angle light makes in the diamond is 18.66°.
1. the position of a particles moving on a straight line is given by X =12 + 18t + 9t^2meter
(a) find the instantaneous veloctiy at
t=5s [dx/dt=v]
Answer:
v = 108 m/s.
Explanation:
Given that,
The position of a particle moving on a straight line is given by :
[tex]X =12 + 18t + 9t^2[/tex]
We need to find the instantaneous velocity at t=5s.
Velocity, [tex]v=\dfrac{dX}{dt}[/tex]
So,
[tex]v=\dfrac{d(12 + 18t + 9t^2)}{dt}\\\\=18+18t[/tex]
Instantaneous velocity at t = 5 s will be :
v = 18+18t
v = 18+18(5)
= 18 + 90
= 108 m/s
So, the instantaneous veloctiy at t=5s is 108 m/s.
Which of the following is NOT a characteristic of noble gases? *
very reactive
colorless
odorless
unreactive
A roller coaster car accelerates uniformly covers a distance of 50 m while increasing its speed
from 5.0 m/s to 25 m/s. How long does it take for this to occur? What is its average velocity over
this distance? (3.3 s. 15 m/s)
Proof please
Answer:
Explanation:
Given parameters:
Distance covered = 50m
Initial velocity = 5m/s
Final velocity = 25m/s
Unknown:
Time taken to cover the distance = ?
Average velocity = ?
Solution:
To solve this problem, we use the expression below:
x = [tex](\frac{v + u}{2}) t[/tex]
x is the distance
v is the final velocity
u is the initial velocity
t is the time
50 = [tex]\frac{5 + 25}{2}[/tex] x t
50 = 15 x t
t = 3.3s
Average velocity = [tex]\frac{v + u}{2}[/tex] = [tex]\frac{5+25}{2}[/tex] = 15m/s
What may result when the energy that builds up at plate boundaries is released because the plates suddenly overcome the force of friction?
volcano
hot spot
earthquake
trench
A population’s exponential growth is the number of offspring produced over a given time period.True or false
A 365-kg car traveling horizontally at 21.1 m/sec slams into a tree and comes to a halt in 0.22 seconds. What force did the tree exert on the car to stop it?
please show work
Explanation:
Remember Newton's Second law
[tex]F = ma[/tex]
We can use this to solve for the force exerted by the tree on the car when it stops the car.
We aren't given the acceleration directly in the problem statement, but we can solve for acceleration.
Recall that acceleration is the change is velocity per unit time. [tex]a = \frac{\Delta v}{\Delta t}[/tex]
We know the original velocity as 21.1 m/s and the final velocity as 0.0 m/s. The time that it takes to stop the car is 0.22 seconds.
Now we can solve using the equation. [tex]F = \frac{21.1 - 0.0}{0.22} * 365[/tex]
i need help if u see this don't skip
Answer:
i didnt skip because you said not to ion even know the answer tho
Explanation:
Answer:
Na connect with chlorine because sodium is a cation that is in the alkali metal group. Sodium has a +1 charge and all it needs to do is lose a electron to become stable. This is is since Na only has one valence electron and to create a bond, it has no choice but to lose a electron. In the alkali metal group, they are the groups that are the most reactive metals. On the other hand, chlorine is a anion that is in the halogens group. So chlorine has a -1 charge and all it needs to do is gain a electron to become stable. This is since chlorine has 7 valance electrons and needs 1 more electron to have a full outer shell. In the halogens group, they are the groups that are the most reactive nonmetals. When sodium and chlorine create a chemical bond, they create a charge of 0 which is neutral. That's why they would connect to create a substance that is part of everything we eat.
1(-1 )+ 1(1) = 0.
Explanation:
Hope it helped!
A force of 6.7 N acts on a 30 kg body initially at rest. Compute the work done by the force in (a) the first, (b) the second, and (c) the third seconds and (d) the instantaneous power due to the force at the end of the third second.
Answer:
(a) 0.748 J
(b) 2.245 J
(c) 3.74 J
(d) 4.482 W
Explanation:
(a) Work done W = Force × distance
W = F×d,
Where d = 1/2(at²)
Therefore,
W =1/2(F×at²)................ Equation 1
Where a = acceleration, t = time.
But,
a = F/m...................... Equation 2
Where m = mass.
Substitute equation 1 into equation 2
W = 1/2(F²t²/m)................. Equation 3
Given: F = 6.7 N, t = 1 s, m = 30 kg
Substitute into equation 3
W₁ = 1/2(6.7²×1²/30)
W = 0.748 J.
(b) Similarly,
The work done in the second seconds is
Where t₂ = 2 s
W₂ = 1/2(F²t₂²/m)- W₁
W = 1/2(6.7²×2²/30)-0.748
W = 2.245 J
(c) The work done in the third seconds is
Where t₃ = 3 s
W₃ = 1/2(F²t₃²/m)-(W₂+W₃)
W = 1/2(6.7²×3²/30)-(2.993)
W = 3.74 J.
(d) P = Fv ............... Equation 4
Where v = velocity.
and,
v = at..................... Equation 5
Substitute equation 5 into equation 4
P = Fat................... Equation 6
Given: F = 6.7 N, a = 6.7/30 = 0.223 m/s², t = 3 s
Substitute into equation 6
P = 6.7×0.223×3
P = 4.482 W.
with which of the following is the weak nuclear force associated
Find the required answer to the following by substituting the numbers. (Bonus points for knowing the units). PLEASE ANSWER
a) Using Fnet = ma, what is Fnet if m = 13.2kg and a = 10ms^-2?
b) Using I = P/V, what is I if V = 15V and P = 75W
Answer:
a) F=ma
F=13.2×10
F=132
b) I=P/V
I=75/15
I=5
The rate of change of work with respect to time is called
1) power
2) momentum
3) energy
4)force
Answer:
Power
Explanation:
Power, by definition, is the rate of doing work (aka, work with respect to time).
What happens to the molecules of a substance when it changes phase?
When it comes to phase shifts or phase change the greater the intermolecular interactions are the closer the molecules are to one another.
What is phase change?A phase change occurs when matter transitions from one state to another (solid, liquid, gas, plasma). When enough energy is provided to the system (or when a significant quantity is removed), as well as when the pressure on the system is adjusted, these changes occur.Any two phases of matter can undergo phase transitions.All phase shifts are accompanied by an energy shift.Isothermal phase shifts occur in all cases.Temperature changes can cause substances to change phase often. Most substances are solid at low temperatures; as the temperature rises, they become liquid; and at even higher temperatures, they become gaseous.To Know more about Phase change here
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A man rides a bicycle that is connected to an electrical generator. If he rides as hard as he can, his body can produce a mechanical power of 500 W, but the generator is only 40% efficient at converting mechanical energy into electrical energy.How many 100 W incandescent light bulbs can he power
Answer: the man can power 2 incandescent light bulbs
Explanation:
Given that;
power produced by the body while riding = 500 W
Efficiency of generator = 40% = 0.4
First we need to convert the mechanical energy to electric energy;
which efficiency of generator multiply by power input, so
⇒ 0.4 × 500 = 200 W
Now, if 1 incandescent light bulbs is 100 W
x incandescent light bulbs bulbs is 200 W
100x W= 200 W
x = 200 W / 100 W
x = 2
Therefore, the man can power 2 incandescent light bulbs
all igneous rock forms from cooling lava, but not all of them look the same, (ex: some have large crystals) why is that:
a. lava cooled BENEATH the surface and SLOWLY allows large crystals to develop bc they have more time to grow in size.
b. lava cooled ABOVE the surface which SLOWLY allows large crystals to develop bc they have more time to grow in size.
c. lava cooled BENEATH the surface and QUICKLY allows large crystals to develop bc they have more time to grow in size.
D. lava cooled ABOVE the surface which QUICKLY allows large crystals to develop bc they have more time to grow in size.
Answer:
b
Explanation:
Suppose the entire population of the world gathers in one spot and, at the sounding of a prearranged signal, everyone jumps up. While all the people are in the air, does Earth gain momentum in the opposite direction?
a) No; the inertial mass of Earth is so large that the planet’s change in motion is imperceptible.
b) Yes; because of its much larger inertial mass, however, the change in momentum of Earth is much less than that of all the jumping people.
c) Yes; Earth recoils, like a rifle firing a bullet, with a change in momentum equal to and opposite that of the people.
d) It depends.
Answer:(B)
Explanation:
No; the inertial mass of Earth is so large that the planet’s change in motion is imperceptible, therefore the correct answer is option A.
What is Newton's first law?According to Newton's first law, until pushed to alter its condition by the intervention of an external force, every object will continue to be at rest or in uniform motion along a single direction.
As given in the problem suppose the entire population of the world gathers in one spot and, at the sound of a prearranged signal, everyone jumps up. While all the people are in the air, we have to find out if Earth gains momentum in the opposite direction,
The mass of the earth is very huge approximately 5.97 ×10²⁴ kilogram.
Even the combined mass of all the population combined would be negligible as compared to the mass of the earth.
Thus, the earth would not gain momentum in the opposite direction.
Learn more about Newton's First Law here;
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Determine a differential equation for the velocity v(t) of a falling body of mass m if air resistance is proportional to the square of the instantaneous velocity. Assume the downward direction is positive. (Use k > 0 for the constant of proportionality, g > 0 for acceleration due to gravity, and v for v(t).)
A freely falling mass m will be pulled down toward the ground with downward acceleration +g while feeling upward drag D due to air resistance with acceleration -a such that D = - m a = - k v ². Hence the body's velocity v(t) changes with respect to time t according to the differential equation,
dv(t)/dt = m g - k v ²
the density of a glass is 2.5 g/cm3. if the glass breaks, what is the density of the smaller pieces
Answer:
See the explanation below.
Explanation:
Density will remain the same since density is the relationship between mass and volume. As we can see in the equation below.
[tex]Ro=m/V[/tex]
where:
Ro = density = 2.5 [g/cm³]
m = mass [g]
V = volume [cm³]
In such a way that when the glass is broken the small fragments retain the same density ratio. That is, each fragment has a small mass and a small volume. That's why the density remains the same.
who was the first president of America
Answer:George Washington
Explanation:On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.
Answer:
George Washington
Explanation:
Hope this helps out
