The rock did not knock the spy satellite out of the sky. Detail below
How to determine the maximum heightTo determine whether the rock will knock out the spy satellite, we shall determine the maximum height reached by the rock. This is obatined as follow:
Initial velocity (u) = 367 m/sFinal velocity (v) = 0 m/s (at maximum height)Acceleration due to gravity (g) = 9.8 m/s²Maximum height (h) =?v² = u² - 2gh (since the ball is going against gravity)
0² = 367² - (2 × 9.8 × h)
0 = 134689 - 19.6h
Collect like terms
0 - 134689 = -19.6h
-134689 = -19.6h
Divide both side by -19.6
h = -134689 / -19.6
h = 6871.89 m
DIvide by 1000 to express in km
h = 6871.89 / 1000
h = 6.87 Km
From the calculation made, we can see that the maximum height reached by the rock is 6.87 Km
Thus, we can conclude that the rock did not knock out the spy satellite becaue the satellite is 400 Km above the ground.
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the power usage of a dc strip heater can be determined in either of two ways: (1) heater resistance and voltage drop can be measured simultaneously and power computed, or (2) heater voltage drop and current can be
give three examples of planetary changes that are predicted to occur (or are already occurring) as a result of this seemingly small amount of warming.
Sea ice loss, glacier and ice sheet melting, sea level rise are the planetary changes that are predicted to occur.
What is causing climate change?Since the Industrial Revolution, human activities have contributed significantly to the atmospheric release of carbon dioxide and other greenhouse gases, altering the planet's climate. The earth's climate is also influenced by natural processes like variations in the sun's energy and volcanic eruptions.
according to scientists' predictions of the long-term effects of climate change.
CO2, nitrous oxide, methane, chlorofluorocarbons, and water vapor are examples of greenhouse gases. Although the Sun has contributed to past climate changes, the evidence indicates that the Sun cannot be the cause of the current warming.
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3. Tell me what suspension is and provide an example.
Answer:
the mixture of chalk and water, muddy water, the mixture of flour and water, a mixture of dust particles and air, fog, milk of magnesia,
Explanation:
Give the definition of suspension. Ans: A suspension is a heterogeneous mixture of two or more substances.In this chapter, we will talk about a suspension. Are you aware of what is it actually? You must have come across many such examples in your daily life. Right? Let us now look at these types of solutions in a more detailed manner. We will discuss their properties and characteristics
For motion from s=+2cm to −5cm, then to +12cm, calculate the total displacement change.
The total displacement change from s=+2cm to −5cm, then to +12cm is + 7 cm
Displacement = Final position - Initial position
Final position = + 2 - 5 + 12 cm = + 9 cm
Initial position = + 2 cm
Displacement = ( + 9 ) - ( + 2 )
Displacement = + 7 cm
Displacement is the instantaneous distance between initial and final position. It is a vector quantity. So adding a sign is necessary for displacement.
Therefore, the total displacement change is + 7 cm
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Physics question doubt!
Answer: I think it's 7.60 184
Explanation: If I did my math right it's 7.60 184
In 1909, scientist ernest rutherford directed a stream of high speed alpha particles at a thin piece of gold foil. Some of the particles passed through, some were deflected, and some bounced straight back. This result caused rutherford to conclude that.
Rutherford considered these observations and he concluded: The fact that most alpha particles went straight through the foil is evidence for the atom being mostly empty space. A small number of alpha particles being deflected at large angles suggested that there is a concentration of positive charge in the atom.
What is an atomic nucleus ?Protons, which have a positive charge, and neutrons, which have no electrical charge, make up the nucleus. On the basis of the 1909 Geiger-Marsden gold foil experiment, Ernest Rutherford identified the atomic nucleus in 1911,which is the compact, dense region made up of protons and neutrons at the heart of an atom. The electron cloud contributes very little to the atom's mass, which is almost entirely in the nucleus. The nuclear force brings protons and neutrons together to create a nucleus.To learn more about : nucleus
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A ball is thrown horizontally out the window of a tall building with a velocity of 7.3 m/s
from a height of 206 m. How far from the base of the building will the ball land?
gravity=10m/s²
A branch of physics called kinematics, which originated in classical mechanics, defines how points, bodies, and systems of bodies move without taking into account the forces that are responsible for their motion.
Let's go over the four basic kinematic equations of motion with constant acceleration:
s = ut + ½at^2 …. (1)
v^2 = u^2 + 2as …. (2)
v = u + at …. (3)
s = (u + v)t/2 …. (4)
where an is acceleration, s is distance, u is beginning velocity, v is final velocity, and t is time.
To determine the horizontal distance traveled in this instance, we first need to determine the time it takes for the ball to fall vertically to the ground.
Knowing u = 0, a = g = 9.81 m/s2, and s = 5 m for the vertical drop, we can use equation (1) to obtain
s = ut + ½at^2
5 = 0 +4.905t^2
t = √(5/4.905) = 1.01s
Now that we have t, we can calculate the horizontal distance.
s = ut + ½at^2
s = 35(1.01) + 0 (no horizontal acceleration) (no horizontal acceleration)
s = 35.35m
The ball thus travels 35.35 meters before striking the ground.
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Which would be more damaging; driving into a massive concrete wall or driving at the same speed into a head-on collision with an identical car traveling toward you at the same speed?.
Driving into a massive concrete wall and driving into a head-on collision with an identical car traveling toward you at the same speed, both does equal amount of damage.
When the car hits into a wall, it comes to a sudden stop. Similarly, if the car hits another identical car with same speed, the same situation occurs in which the car comes to a sudden stop because the momentum of one car will be cancelled by the momentum of the other car. Either way, due to rapid deceleration the car comes to a dead stop.
The damage could have varied if the car travelling towards you had more or lesser speed than your car. Due to the same speed, both the cars had same momentum. If the speed differs, momentum differs and there will be motion after collision resulting in lesser damage in one car than the other.
Therefore, driving into a massive concrete wall and driving into a head-on collision with an identical car traveling toward you at the same speed, both does equal amount of damage.
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an adiabatic compressor compresses air at 150 kpa and 400k to 2 mpa. what is the exit temp of the air if it is an isentropic process
The exit temperature = 5333.33 K
Explanation:The inlet pressure: P₁ = 150 kpa
The inlet temperature T₁ = 400K
The exit pressure, P₂ = 2 MPa = 2000 kPa
The exit tenperature, T₂ = ?
The relationship between temperature and pressure for an isentropic process is shown below
[tex]\frac{T_2}{T_1}=\frac{P_2}{P_1}[/tex]Substitute the given parameters into the formula and solve for T₂
[tex]\begin{gathered} \frac{T_2}{400}=\frac{2000}{150} \\ \\ T_2=400(\frac{2000}{150}) \\ \\ T_2=5333.33K \\ \end{gathered}[/tex]The exit temperature = 5333.33 K
Which options identify a key point of cell theory?
(Select all that apply.)
Cells carry out functions that maintain life.
Living things are nde of one or more cells.
Cells come only from other living cells.
Living things are only made of more than one cell.
Answer:
Cells carry out functions that maintain life.
Living things are nde of one or more cells.
Explanation:
1) cells are building blocks of life. Cells make up tissues, tissues make up organs, organs make up organ systems...
2)microorganisms like bacteria are unicellular which means made of one cell. Human beings however are made of trillions and trillions of cells.
URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS
Which statement about this atom is FALSE?
Use the Periodic Table to help you.
A. The mass of the atom is 35 AMU
B. The atom has an overall change of 0
C. The atomic number of this atom is 18
D. This is a chlorine atom
Answer:
B.
Explanation:
Chlorine has a charge of is -1 and the atomic number of Chlorine is 17
For resistors of 10 Ω, 15 Ω and 20 Ω, two resistors are connected in parallel and one in series. Calculate all the possible total resistance values.
Given the resistors:
10Ω, 15 Ω and 20 Ω
Two resistors are connected in parallel and one in series.
Let's calculate all the possible total resistance values.
When resistors are connected in parallel, the equivalent resistance is:
[tex]\frac{1}{R_4}=\frac{1}{R_1}+\frac{1}{R_2}[/tex]After finding the equivalent resistance value in parellel, we now add the resistance value with the resistance in series:
[tex]R_{eq}=R_4+R_3[/tex]• When 10Ω and 15Ω are connected in parallel and 20Ω in series, we have:
R1 = 10 Ω
R2 = 15 Ω
R3 = 20 Ω
[tex]\begin{gathered} \frac{1}{R_4}=\frac{1}{10}+\frac{1}{15}=\frac{3+2}{30}=\frac{5}{30}=\frac{1}{6} \\ \\ R_4=6\Omega \\ \\ \text{Now to find the total resistance, we have:} \\ R_{eq}=R_4+R_3=\text{ 6 }\Omega\text{ + 20}\Omega \\ \\ R_{eq}=26\text{ }\Omega \end{gathered}[/tex]When 10Ω and 15Ω are connected in parallel and 20Ω in series the total resistance is 26 Ω.
• When 10Ω and 20Ω are connected in parallel and 15Ω in series, we have:
R1 = 10 Ω
R2 = 20 Ω
R3 = 15 Ω
Hence, we have:
[tex]\begin{gathered} \frac{1}{R_4}=\frac{1}{R_1}+\frac{1}{R_2}=\frac{1}{10\Omega}+\frac{1}{20\Omega}=\frac{2+1}{20}=\frac{3}{20}\Omega \\ \\ R_4=\frac{20}{3}\Omega\approx6.7\Omega \\ \\ \text{Thus, we have:} \\ R_{eq}=R_4+R_3=6.7\Omega+15\Omega=21.7\Omega \end{gathered}[/tex]When 10Ω and 20Ω are connected in parallel and 15Ω in series the total resistance is 21.7 Ω.
• When 20Ω and 15Ω are connected in parallel and 10Ω in series, we have:
R1 = 20 Ω
R2 = 15 Ω
R3 = 10 Ω
Thus, we have:
[tex]\begin{gathered} \frac{1}{R_4}=\frac{1}{R_1}+\frac{1}{R_2}=\frac{1}{20}+\frac{1}{15}=\frac{3+4}{60}=\frac{7}{60} \\ \\ R_4=\frac{60}{7}\approx8.6\Omega \\ \\ R_{eq}=R_4+R_3=8.6+10=18.6\Omega \end{gathered}[/tex]When 20Ω and 15Ω are connected in parallel and 10Ω in series the total resistance is 18.6Ω.
ANSWER:
• When 10Ω and 15Ω are connected in parallel and 20Ω in series the total resistance is 26 Ω.
,• When 10Ω and 20Ω are connected in parallel and 15Ω in series the total resistance is 21.7 Ω.
,• When 20Ω and 15Ω are connected in parallel and 10Ω in series the total resistance is 18.6Ω.
based on the figure 2-1, which substances would become solid at 10 degrees celcius?
The substance that we can from the table that would be solid at a temperature of 10 degrees Celsius is known as acetic acid.
What is the substances that would become solid at 10 degrees Celsius?We know that the temperature is the degree of the hotness or the coldness of a body. More appropriately, we define the temperature of a body as the average kinetic energy of the molecules of a body. One of the most effects that the temperature of the body could have is that when the temperature is increased or decreased, there could be a change of state of the body.
This implies that the state of matter that we can find a particular object at a given time would depend heavily on the temperature of the substances. Generally, the state of matter than a material is found is quoted mostly with reference to room temperature.
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when a metal is exposed to 75.9 nm ultraviolet radiation, it emits an electron with kinetic energy 7.60 ev. what is the threshold frequency for this metal? (1.000 ev
The threshold frequency for this metal is, based on its photoelectric effect, [tex]2.11x10^{15} Hz[/tex].
The threshold frequency of the metal is the frequency of electromagnetic radiation that would cause its kinetic energy to be equal to 0. Using the photoelectric effect, the threshold energy can be calculated from the difference between the photon energy invested and the electron's kinetic energy, because the excess energy invested is transformed into kinetic energy. With that in mind, the energy of the photon is:
E = hc/λ = hν
where h is Planck's constant, c is the speed of light, λ is the wavelength of the photon and ν is the frequency of the photon.
[tex]E = 6.626x10^{-34}Js * 3x10^{8}m/s / 75.9x10^{-9}m = 2.62x10^{-18} J[/tex]
Because 1 eV is equal to [tex]1.602x10^{-19}[/tex] J, the kinetic energy of the electron is:
[tex]7.60 x 1.602x10^{-19}J = 12.1752x10^{-19}J = 1.22x10^{-18} J[/tex]
The threshold energy is:
[tex]2.62x10^{-18}J-1.22x10^{-18}J = 1.40x10^{-18}J[/tex]
Now, because E = hν, then ν = E/h, so the threshold frequency will be:
[tex]1.40x10^{-18} J/6.626x10^{-34}Js = 2.11x10^{15}Hz[/tex]
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a 10-ft beam, weighing 1360 lb, is to be moved to the left onto the platform. a horizontal force p is applied to the dolly, which is mounted on frictionless wheels. the coefficients of friction between all surfaces are μs
The resistive force of friction (Fr) divided by the normal or perpendicular force (N) pushing the objects together yields the coefficient of friction (fr), which is a numerical value. The formula fr = Fr/N serves as a representation of it.
In terms of math, μ is equal to F/N, where F stands for frictional force and N for normal force. The coefficient of friction has no dimensions because both F and N are measured in units of force (such as newtons or pounds).
The static friction coefficient and the kinetic friction coefficient are the two different types of friction coefficients. While the latter is frequently referred to as the dynamic or sliding friction coefficient, the former is sometimes known as the starting friction coefficient.
A force that holds an object at rest is called static friction. When an object reaches its maximum size, it begins to move. Static friction has an identical magnitude in the opposite direction to any little force applied to an object. If the force is increased, eventually the object will begin to move after the maximum static friction value is reached.
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A student rolls a soccer ball down a ramp. the ball accelerates from rest to 2.0 m/s in 3.5 seconds. what was the acceleration of the ball as it rolled down the ramp? (4b)
If you bake a cake at high elevation, where atmospheric pressure is lower than at sea level, you will need to adjust the recipe. You will need to cook the cake for a longer time, and you will need to add less baking powder. (Baking powder is a leavening agent. As it heats, it releases gas bubbles that cause the cake to rise.) Explain why those adjustments are necessary.
There is less atmospheric pressure, molecules face less resistance. Therefore, as it warms up, more gas bubbles will rise, and as a result, less baking powder is needed to create the same rising of the cake.
What impact does atmospheric pressure have on baking?Two main consequences of low air pressure on baked foods are: They will dry out more quickly because liquids boil at lower temperatures at high altitudes, which causes them to rise more easily and lose moisture faster. Gas bubbles have a tendency to form huge, uneven pockets in a batter or dough as leavening progresses more quickly.
Briefing:The pressure drops as altitude rises. As a result, as the atmospheric pressure drops, the molecules in the solution just need to overcome the lesser amount of resistance to leave the solution. Consequently, when the temperature required for the molecules to depart the solution drops, the boiling point of solutions also drops. Therefore, it takes longer to prepare food effectively when water boils at a lower temperature because the heat that water stores is lower. When it comes to baking powder, the less baking powder we use, the less resistance the molecules must overcome because to the lower ambient pressure. Therefore, as it warms up, more gas bubbles will rise, which will result in less cake rising.
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A wire is stretched so that its resistance becomes 16 times the initial value before stretching . The radius of the wire after stretching will be _____
A) 1/4th of the initial value
B) 4 times the initial value
C) 2 times the initial value
D) 1/2 times the initial value
The radius of the wire with a resistance that is 16 times its original value after stretching will be 1 / 2 times the initial value ( D )
R = ρ L / A
L = V / A
A = π r²
R = Resistance
L = Length
A = Area
V = Volume
r = Radius
R = ρ L / A
R = ρ V / A²
R = ρ V / π² [tex]r^{4}[/tex]
Rearranging for r,
r = [tex]\sqrt[4]{}[/tex] ( ρ V / π² R )
This is the radius of the wire initially
After stretching, R' = 16 R
R' = ρ V / π² [tex]r'^{4}[/tex]
r' = [tex]\sqrt[4]{}[/tex] ( ρ V / π² 16 R )
r' = 1 / 2 [tex]\sqrt[4]{}[/tex] ( ρ V / π² R )
r' = 1 / 2 * r
Therefore, the radius of the wire after stretching will be 1/2 times the initial value ( D )
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please help ASAP! Brainliest to the best answer
Answer:
1. A series circuit consisting of:
12 V electrical source
open switch
two light bulbs
10 Ω resistor
2. A parallel circuit consisting of:
9.0 V electrical source
open switch
three 5.0 Ω resistor
3. A circuit consisting of:
three 1.5 V cells connected in parallel
open switch
two light bulbs connected in series
two 15 Ω resistor connected in parallel
4. Draw a circuit diagram consisting of a
9.0 V battery, an ammeter, and a 25 Ω
resistor in series. Include a voltmeter
that is measuring the potential difference
across the resistor.
5. Draw a circuit diagram consisting of a
battery made up of two 1.5 V cells, one
closed switch, two lamps, and an
ammeter in series. Show the direction in
which the current flows.
6. Draw a circuit diagram consisting
of a battery made up of four 1.5 V
cells, one closed switch, one lamp, two
0.50 Ω resistors in series, and a
voltmeter.
Show the direction in which
the current flows.
A ball is thrown straight upward with a speed of +12 m/s.
11. What is the ball's acceleration just after it is thrown?
(A) zero
(B) 10 m/s² upward
(C) 10 m/s² downward
(D) 12 m/s² upward
(E) 12 m/s² downward
The ball's acceleration just after it is thrown is 10 m/s² downward
option C.
What is the acceleration of the ball?The acceleration of the ball is calculated by applying the following equation as shown below.
When ever an object is projected upwards, its velocity decreases with increase in height and the velocity will become zero when the object reaches the maximum height.
The acceleration of any object projected or thrown upwards is always directed downwards with a magnitude equal to acceleration due to gravity ( 10 m/s²).
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Difference between digital meter and analogue meter
If you answer I will give 100 points!
Answer:
Digital meter is the one which take the input in one form and should output in digital form like in numbers or by any other electronic means where as the analogue meter is the one which uses some mechanical method to display the output like deflection of the needle etc.
make me brainalist and keep smiling
The most significant difference between analog and digital instruments is in their type of output method, i.e., an analog instrument shows the output by the deflection of pointer on a scale, whereas a digital instrument shows the output on a digital display screen in the form of text or numbers
In a laboratory test, a car of mass 1200 kg is driven into a concrete wall
A video recording of the test shows that the car is brought to rest in 0.36 s when it
collides with the wall. The speed of the car before the collision is 7.5 m/s
The impact force of the car during the collision on the wall is 25,000 N.
What is force experienced by an object?
According to Newton's second law of motion, the force experienced by an object is proportional to the product of mass and acceleration of the object.
Mathematically, the force experienced by an object is given as;
F = ma
where;
m is the mass of the objecta is acceleration of the objectAcceleration of an object is given as;
a = v/t
where;
v is the velocity of the objectt is time of motionF = ma
F = m(v/t)
F = (mv)/t
F = (1200 kg x 7.5 m/s) / (0.36 s)
F = 25,000 N
Thus, we can conclude that the force experienced by the car during collision on the wall has a magnitude of 25,000 N. This is also the stopping force of the car.
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The complete question is below;
In a laboratory test, a car of mass 1200 kg is driven into a concrete wall
A video recording of the test shows that the car is brought to rest in 0.36 s when it
collides with the wall. The speed of the car before the collision is 7.5 m/s. Find the impact force of the car.
a person holding the spinning bike wheel lifts it with her right hand and pushes down with her left hand in an attempt to rotate the wheel. explain what happens to the bicycle wheel in three to four sentences of conceptual writing.
ANSWER-wheel turns increasingly angularly in the direction of the person as it approaches them.
Explained: Due to force, torque will result in the following.
torque is equal to force divided by the perpendicular distance and applied in the direction of the subject.
Changes are caused by this torque. in angular momentum
Thus, as a result of new angular momentum pointing more in that direction, the wheel advances in that direction.
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There is a torque created in the wheel as a result of the applied forces. An object's angular momentum will rotate into the wheel as torque has a tendency to modify it.
The person holding the spinning bike wheel lifts it with her right hand and presses it down with her left hand, trying to turn the wheel. as a result, the wheel will experience torque.
The force that can turn an item about its axis is measured as torque. In linear kinematics, force is what makes an object move faster.
The object's mass times its speed is what determines its linear momentum. linear Momentum is a property of any mass-moving object. Because it works with rotating objects, angular momentum only differs in one respect.
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A student pulls a cart towards right on a rough surface. What is tye direction of the frictional force acting on the cart?
When a student pulls a cart towards the right on a rough surface, the direction of the frictional force acting on the cart will be to the left in the opposite direction of motion of the cart.
What is frictional force?Frictional force is a force that acts to oppose the motion of an object moving over another object.
Frictional force is a contact force as it requires contact between the two surfaces.
Frictional force acts at the surface of separation of the objects.
Frictional force causes wear and tear in moving parts of machinery.
However, frictional force enables the movement of objects over flat surfaces, for example, it aids in walking.
In conclusion, frictional force acts in an opposite direction to the motion of an object moving over another object.
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TRUE or FALSE- The three categories that
American Imperialism sought to enhance were
political, military, and economic.
TRUE
FALSE
1
It is a true statement that the three categories that American Imperialism sought to enhance were political, military, and economic.
What is imperialism?The term imperialism has to do with a situation in which a country that tends to be more powerful continues to control a smaller country owing to the depends of the smaller country on the larger country for aid even though it is fully independent.
We can see that imperialism continues around the world especially in the developing and the less developed countries and this has continued to be an object of intense debate in many quarters.
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Sleep apnea patients who repeatedly awaken with a gasp and then immediately fall
back to sleep typically
1) feel fatigued the next day.
O2) experience greater-than-average amounts of slow-wave sleep.
3) have dreams that they are suffocating or drowning.
4) require prescription drugs to recover from this condition.
Answer: require prescription drugs to recover from this condition ( D )
Explanation: There are three forms of sleep apnea: central, obstructive, and complex, require prescription drugs to recover. The most common of these is obstructive sleep apnea (OSA). Various studies have estimated that between 4% and 50% of the population have OSA
under what conditions can carrying capacity reach equilibruim
Answer:
The carrying capacity is defined as the environment 's maximal load, which in population ecology corresponds to the population equilibrium, when the number of deaths in a population equals the number of births (as well as immigration and emigration). The effect of carrying capacity on population dynamics is modelled with a logistic function.
Hence: When food, water, and space used by a population stay stable over
time.
Explanation:
Hope this helps.
an exploding charge applies 4000N of force on a 0.025kg bullet as it moves down a 0.5m long horizontal barrel. how much energy does the bullet have when it leaves the barrel?
The energy the bullet have when it leaves the barrel is 2000 J
How to determine the energy.The energy of the bullet when it leaves the barrel can be obtained as illustrated below:
Force (F) = 4000 NDistance (d) = 0.5 mEnergy (E) = ?Energy is defined as the ability to do work.
Energy (E) = Work (W)
Work (W) = force (F) × distance (d)
W = Fd
Thus,
E = W = Fd
E = 4000 × 0.5
E = 2000 J
From the above calculation, we can conclude that the energy of the bullet is 2000 J
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how do the kinetic energy of each of the following objects compare to one another? i. object of mass 2 kg traveling at constant velocity of 2.5 m/s in the x x direction ii. object of mass 1 kg traveling at constant velocity of 5 m/s in the x x direction iii. object of mass 1 kg traveling at constant velocity of 3 m/s in the x x direction and -4 m/s in the y y direction
Kinetic energy of each of the following objects compared like K₃ = K₂ > K₁ or K₃ = K₂ = K₁.
Kinetic energy of an object of mass, m and speed, v is
K = 1/2 mv²
(1) Given, m = 2kg, v = 2.5m/s
So, K = 1/2 mv²
K₁ = 1/2 × 2×(2.5)²
K₁ = 6.25 J
(2) Given, m = 1kg, v = 5m/s
K = 1/2 mv²
K₂ = 1/2 × 1×(5)²
K₂ = 12.5 J
(3) Given, m = 1kg, Vx = 3m/s, Vy= 4m/s
v = [tex]\sqrt{Vx^{2} + Vy^{2} }[/tex]
v = 5m/s
K = 1/2 mv²
K₃ = 1/2 × 1×(5)²
K₃ = 12.5 J
Hence, K₃ = K₂ > K₁ or K₃ = K₂ = K₁ .
Kinetic energy is the type of energy which is due motion of an object. Kinetic energy is the product of half of mass and velocity square. Its unit Joule and is represented by J.
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a filtration system continuously removes water from a swimming pool, passes the water through filters, and then returns it to the pool. both pipes are located near the surface of the water. the flow rate is 15 gallons per minute. the water entering the pump is at 0 psig, and the water leaving the pump is at 10 psig.
It has been given that:
15 gallons per minute are the water's volumetric flow rate.
The pipe that exits the pump has a 1 inch diameter.
(a) When the diameter of the pipe that leaves the pump is 1 inch, flow work is done by the water as it leaves the pump and enters the pipe will be
W= 7133.2ft.lbf / min
Here, measuring the amount of work flow performed by the water as it exits the pump and enters the pipe is the goal.
The relation can be used to express the work flow that is supposedly complete:
W = P × V
where;
Pressure is P.
Volume is V.
The gauge pressure is included in the specified outlet pressure.
Now, the relation may be used to express the pressure in the pump P:
[tex]P_{absolute}[/tex] = [tex]P_{gauge}[/tex] + [tex]P_{atmospheric}[/tex]
[tex]P_{absolute}[/tex] = 10 psig + 14.7 psig
[tex]P_{absolute}[/tex] = 24.7 psig
W = P × V
W = 24.7 psig × 15 gal/min
W = (24.7 psig * [tex]\frac{\frac{lb_{f} }{in^{2} } }{psig}[/tex] ) * (15 [tex]\frac{gal}{min}[/tex] * [tex]\frac{0.1337 ft^{3} }{1 gal}[/tex] * [tex]\frac{144 in^{2} }{1 ft^{2} }[/tex] )
W = 7133.2 [tex]\frac{ft. lb_{f} }{min}[/tex]
This means that the water is stated to produce work at a rate of flow of
W= 7133.2 [tex]\frac{ft.lb_{f} }{min}[/tex]
(b) Work done by the water as it leaves the pipe and enters the pool is:
According to the obtained data:
Through a 1.5-inch-diameter aperture, the pool's water is refilled.
when there is 1 atm of pressure.
The water then exerts the following amount of energy when it exits the pipe and enters the pool:
W = P × V
W equals 1 atm x 15 gal/min.
W = 1 atm * (15[tex]\frac{gal}{min}[/tex] * [tex]\frac{0.1337 ft^{3} }{1 gal}[/tex] * [tex]\frac{144 in^{2} }{1 ft^{2} }[/tex])
W = 4245.24 [tex]\frac{ft.lb_{f} }{min}[/tex]
When a result, the water's work rate as it exits the pipe and enters the pool is at W = 4245.24 [tex]\frac{ft.lb_{f} }{min}[/tex]
(c) Due to the fact that the data provided for the flow rate and pressure do not account for changes in time in the space between the pump and the pool, we may say that the system is in a steady state.
However, the main reason why the system is out of equilibrium is that:
As indicated in the inquiry, the pressure coming out of the pipe is different from the pressure of the water at the pool's surface.
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