Following an inelastic collision, the kinetic energy can be converted into heat, potential energy and sound. Kinetic energy is motion energy.
Kinetic energy is motion energy, i.e., the energy contained by a particular object in movement.
This type of energy (kinetic energy) is produced by a given object during its acceleration.
Kinetic energy is transferred from a particular object to another during a collision (either an elastic collision or inelastic collision)
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Raul ha a cloed container of a ga. He put it in a refrigerator. When it cool, it condene and become a liquid. What happen to the denity of the ga when it condene?
The density of the ga when it condense while put it in a refrigerator, When it cool, it condense and become a liquid, has decreases.
The mass of a material substance per unit volume is referred to as its density. The formula d = M/V, where d stands for density, M for mass, and V for volume, describes density. The measurement for density is grams per cubic centimeter. For instance, water has a density of 1 grams per cubic centimeter as opposed to Earth's density of 5.51 grams. Kilograms per cubic meter is another way to measure density (in meter-kilogram-second or SI units). Density makes it simple to calculate the relationship between mass and volume. For instance, M = Vd is the formula for calculating a body's mass, while V = M/d is the formula for calculating a body's volume.
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in which two systems are the comparisons of distances between the objects and the sizes of the objects the most similar?
The astronomical system and the microscopic system are the two in which comparisons of the distances between the objects and the sizes of the objects are the most comparable.
Astronomical units, light-years, and parsecs are used in the astronomical system to measure distances between celestial objects such as planets, stars, and galaxies. The diameter or radius of these objects is used to describe their sizes, and these measurements can range from thousands to millions of kilometers.
Distances between microscopic things like atoms, molecules, and cells are measured in nanometers or angstroms in the microscopic system. Similarly to that, these objects' dimensions—which can range from a few nanometers to micrometers—are expressed in terms of their diameter or length.
The sizes of the objects being measured can vary significantly within each system, and both entail measurements of distances that can span several orders of magnitude. In order to compare sizes and distances within each system, one must adopt a similar strategy that involves a thorough understanding of logarithmic scales and the use of the proper units of measurement.
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A helicopter flies horizontally at constant
speed. It creates a lift force of 40500 N at a
81.3° direction, and air resistance pushes
against the motion.
lift
air+
0
weight
What is the force of air resistance?
The force of air resistance is approximately 3987 N.
What is air resistance?Air resistance, also known as drag, is the force that opposes the motion of an object through a fluid (such as air). It arises from the interaction between the object and the fluid, and depends on factors such as the object's shape, size, speed, and the properties of the fluid (such as its density and viscosity). In the case of a helicopter flying horizontally, air resistance pushes against the direction of motion, and its magnitude is equal to the horizontal component of the lift force.
To find the force of air resistance, we need to resolve the lift force into its horizontal and vertical components. The vertical component equals the weight of the helicopter, which we can calculate using the formula:
Weight = mass x gravity
Assuming a mass of 4500 kg and a gravity of 9.81 m/s^2, we get:
Weight = 4500 kg x 9.81 m/s^2 = 44145 N
The horizontal component of the lift force equals the force of air resistance, since the helicopter is flying horizontally at constant speed. To calculate it, we can use the formula:
Force of air resistance = Lift force x sin(81.3°)
Substituting the given values, we get:
Force of air resistance = 40500 N x sin(81.3°) = 3987 N
Therefore, the force of air resistance is approximately 3987 N.
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an object is dropped from a 100-foot tall building. the height of the object, in feet, after tt seconds can be modeled by the function h(t)
Answer:84ft
Explanation:
A mass on a spring in SHM has amplitude A and period T. Part A At what point in the motion is the velocity zero and the acceleration zero simultaneously? x > 0 x = A x < 0 x = 0 None of the above.
The point in the motion where the velocity is zero and the acceleration is zero simultaneously is at the extreme points of the oscillation, where the displacement is equal to the amplitude (x = ±A).
x(t) = A * cos(2πt/T)
v(t) = -A * (2π/T) * sin(2πt/T)
a(t) = -A * (2π/T)^2 * cos(2πt/T)
v(t) = 0
a(t) = 0
Let's solve these equations:
For v(t) = 0: -A * (2π/T) * sin(2πt/T) = 0
sin(2πt/T) = 0
This equation is satisfied when 2πt/T = nπ, where n is an integer.
For a(t) = 0: -A * (2π/T)^2 * cos(2πt/T) = 0
cos(2πt/T) = 0
In simple harmonic motion (SHM), the velocity of the mass changes direction at the extreme points of the oscillation. At these points, the velocity is momentarily zero before changing direction.
Similarly, the acceleration of the mass is directed towards the equilibrium position (x = 0) at the extreme points. At these points, the acceleration is momentarily zero before changing direction.
Therefore, the correct answer is: None of the above.
The velocity is zero and the acceleration is zero simultaneously at the extreme points of the motion, where x = ±A.
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match this and give me please please
Answer:
1.) D
2.) E
3.) A
4.) B
5.)C
Explanation:
Which object has kinetic energy? (1 point)
apple in a tree
battery in a remote-control car
soccer ball flying through goalposts
electric heater
Answer: soccer ball
Explanation:
The kicker has the potential energy and as the kicker kicks the ball that potential energy turns to kinetic
Which of the following statement/s is/are true? Check all that apply. Jupiter's Great Red Spot is in the southern hemisphere of the planet The fastest wind speed recorded in our solar system is on the dwarf planet Pluto Neptune's Great dark spot is in the northern hemisphere of the planet Water geyser is located on the South Pole of Saturn's Moon Enceladus The Hexagon hurricane is on the North Pole of the planet Uranus
The true statements are:Jupiter's Great Red Spot is in the southern hemisphere.The fastest wind speed recorded in our solar system is on Neptune.
Among the given statements, only two are true. Jupiter's Great Red Spot, a massive storm, is indeed located in the southern hemisphere of the planet. The Great Red Spot is a prominent feature on Jupiter, visible as a giant swirling storm system. On the other hand, the fastest wind speed recorded in our solar system, reaching speeds of up to 2,100 kilometers per hour (1,300 miles per hour), is found on Neptune.
The strong winds on Neptune contribute to its dynamic atmosphere and the formation of features like the Great Dark Spot. The remaining statements about Pluto, Saturn's moon Enceladus, and Uranus are not true according to our current understanding.
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A wave is moving at 300m/s and has a frequency of 25Hz, what is the wavelength?
Answer:
12 metre
Explanation:
Wavelength = Velocity / Frequency
Wavelength = 300m/s / 25 Hz
Wavelength = 12 metre
A satellite weighing 5,400 kg is launched into orbit 30,000 km above sea level. The mass of Earth is 6.0 × 1024 kg and its radius is 6,400 km. The gravitational constant is 6.673 × 10–11 N•m2/kg2. What is the gravitational force of Earth on the satellite in scientific notation with two decimals.
A satellite weighing 5,400 kg is launched into orbit 30,000 km above sea level. The mass of Earth is 6.0 × 1024 kg and its radius is 6,400 km. The gravitational constant is 6.673 × 10–11 N•m2/kg2 . What is the gravitational force of Earth on the satellite in scientific notation with two decimals.
–1.6 × 103 N
–1.63 × 103 N
–2.4 × 103 N
–5.27 × 104 N
The gravitational force of Earth on the satellite, given that the satellite is launched into orbit 30000 km above sea level is 1.63×10³ N
How do I determine the gravitational force?The gravitaional force between two objects can be obtained by using the following formula:
F = GM₁M₂ / r²
Where
F is the gravitaional force G is the gravitational constant M₁ and M₂ are the masses of the objects r is the distance apartThe following data were obtained from he question:
Mass of satellite (M₁) = 5400 = 5.4×10³ KgHeight (h) = 30000 km = 30000 × 1000 = 30000000 mMass of Earth (M₂) = 6.0×10²⁴ KgRadius of Earth (R) = 6400 km = 6400 × 1000 = 6400000 mDistance apart (r) = R + h = 6400000 + 30000000 = 36400000 mGravitational constant (G) = 6.673×10¯¹¹ Nm²/Kg²Gravitational force (F) =?The gravitaional force can be obtained as shown below:
F = GM₁M₂ / r²
F = (6.673×10¯¹¹ × 5.4×10³ × 6.0×10²⁴) / (36400000)²
F = 1.63×10³ N
Thus, the gravitational force is 1.63×10³ N
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for the solidifcation of iron calculate the critical radius and the activiation free energy if nucleation is homogenous
The critical radius is 0.146×10⁻⁹m and activation energy of iron is 0.5327×10⁻⁴⁵Joules
We have some data fields, we need to find the critical radius of iron.
We know very well that critical radius is given by the formula
critical radius=(2×Surface energy × Melting point)/Latent heat of fusion
or in other words, r=(2×S×\(T_m\))/Δ\(H_l_a_t_e_n_t\)
whereas
r is critical radius,S is surface energy, \(T_m\) is the melting temperatureΔ\(H_l_a_t_e_n_t\) is latent heat of fusionAlso temperature if given in degree celsius, we need to convert this into kelvin,
Using the formula,
K=C+273°
=>K=1538°+273K=1811K
So, putting the respective values, we get
=>r= -(2×0.0204×1811)/(-1.85×10⁹×273)
=>r= (73.88/505.05)×10⁻⁹m
=>r=0.146×10⁻⁹m
Now, talking about the activation free energy.
Activation free energy is given by the formula
G=[16×3.142×(critical radius)³×(Melting point)²] / [(3×(Super Colling value)²×(Latent heat of fusion)²]
So, putting the respective values of different quantities, we get
=>G = [16×3.142×(0.146×10⁻⁹)³×(1811)²]/(3×(273)²×(-1.85×10⁹)²
=>G=(407686.907×10⁻²⁷)/(765226.508×10¹⁸)
=>G=0.5327×10⁻⁴⁵Joules
Hence, if nucleation is homogeneous the critical radius r* is 0.146×10⁻⁹m and the activation free energy ΔG* is 0.5327×10⁻⁴⁵Joules.
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(Complete question) is:
(a) For the solidification of iron, calculate the critical radius r* and the activation free energy ΔG* if nucleation is homogeneous. Values for the latent heat of fusion and surface free energy are –1.85 × 109 J/m3 and 0.204 J/m2, respectively. Use the supercooling value ΔT = 273 K, and the melting point of iron is 1538°C.
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Acceleration Due to Gravity - Free Fall
V=V;+gt
vir initial velocity (m/s)
=final velocity (m/s)
g=gravity (10 m/s2)
t = time (s)
1. What is the velocity of a dropped object after it has fallen
downward for 3.0s?
V=V;+gt
Vi = 0
8 = 10
t = 3
2. A brick is thrown down off a bridge with a velocity of 5 m/s. What
is its velocity after it has fallen for 2 seconds?
I
3. An arrow is launched straight up from the ground. It reaches its
highest point in 6 s. What velocity was it released at?
a b c d
A V=V+gt
dhehehdhehdhshehehehehehe
Select the correct answer from each drop-down menu. Burning magnesium gives us magnesium oxide. This is an example of a reaction. is the common element involved with all chemical reactions of this kind.
Answer:
1 decomposition 2 oxygen
Explanation:
The burning of magnesium gives us magnesium oxide.
The chemical symbol of magnesium is Mg.
The chemical symbol of magnesium oxide is MgO.
So, the balanced chemical equation is
2Mg + O2 – 2 MgO.
We see that the element added is O Oxygen. So, the reaction is oxidation which is a decomposition reaction.
In oxidation always, oxygen is the common element involved in all chemical reactions of this kind.
If there is 10% sales tax on a car costing $18,000
How much is the sales tax?
O $180
O $1800
O $1.80
O $800
Answer:
180
Explanation:
i think
an object that has lost its electrons become?
A bowling ball has a mass of 17kg the ball leaves a bowlers hand at a speed of 7.0m/s calculate the kinetic energy of the bowling ball
The kinetic energy of an object can be calculated using the formula: \(KE = (1/2) * mass * velocity^2\). In this case, the mass of the bowling ball is given as 17 kg and the velocity is given as 7.0 m/s.
First, let's plug in the values into the formula:
KE = (1/2) * 17 kg * \((7.0 m/s)^2\)
To simplify the calculation, let's first square the velocity:
KE = (1/2) * 17 kg * 49.0\(m^2/s^2\)
Now, let's multiply the mass and the squared velocity:
KE = 8.5 kg * 49.0\(m^2/s^2\)
Finally, let's multiply the values:
KE = 416.5 kg *\(m^2/s^2\)
The kinetic energy of the bowling ball is 416.5 kg * \(m^2/s^2.\)
Therefore, the kinetic energy of the bowling ball is 416.5 joules.
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Describe the relationship between a moving object's mass and its kinetic energy.
Answer:
\(E=\dfrac{1}{2}mv^2\)
Explanation:
If m is the mass of the object and v is the velocity of the object. The kinetic energy is due to the motion of an object. It is given by the relation as follows :
\(E=\dfrac{1}{2}mv^2\)
The above formula is used to find the kinetic energy of an object.
How does the athlete, in your sport, control their speed?
Answer:
What separates athletes from their competitors is the word itself, separation — gaining it on the offensive side, or taking it away on the defensive side (There are exceptions of course, one being the contest of offensive linemen and defensive linemen in football where the inverse is true). Speed, strength, and power are great ways to create separation in sports. However, speed, strength, and power all have genetic ceilings
If the magnetic field directed north, and the positive charge velocity directed
east, the direction of magnetic force is:
Answer:
Answer would be South..
What are the similarities between the compass needle (magnetism) and a charge to probe the electric field (electricity)?
Similarities between the compass needle (magnetism) and a charge to probe the electric field (electricity) is that Electric fields are produced by two kinds of charges, positive and negative similarly Magnetic fields are associated with two magnetic poles
Magnetic Field is the region around a magnetic material or a moving electric charge within which the force of magnetism acts. A pictorial representation of the magnetic field which describes how a magnetic force is distributed within and around a magnetic material.
Electric field, an electric property associated with each point in space when charge is present in any form. The magnitude and direction of the electric field are expressed by the value of E, called electric field strength or electric field intensity or simply the electric field.
Electric fields are produced by two kinds of charges, positive and negative. Magnetic fields are associated with two magnetic poles, north and south, although they are also produced by charges (but moving charges).
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a student that weighs 436 n is standing on a scale in an elevator and notices that the scale reads 498 n. from this information, the elevator is:
The elevator has constant acceleration upward
Given that a student that weighs 436 N is standing on a scale in an elevator and notices that the scale reads 498 N.
The formula of force can be derived from the Newton's second law of motion, which states that the force exerted by any object equals mass times the acceleration of that object i.e., F = ma
Net force = mg + ma
498 = 436 + ma
62 = 436 a/ 9.8
a = (62 x 9.8) / 436
a = 1.39 m/s²
Hence, it is clear that the elevator has constant acceleration upward.
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Explain results here. do x and y satisfy the equation of a circle? why or why not? how does the vector output at the end confirm your answer?
The general equation of a circle in Cartesian coordinates is given by:
\((x - h)^2 + (y - k)^2 = r^2,\)
where (h, k) represents the coordinates of the center of the circle, and r represents the radius. Without the specific equation, we cannot determine if x and y satisfy it.
A circle is a two-dimensional geometric shape that is perfectly round and symmetrical. It is defined as a set of points that are equidistant from a central point called the center. The distance from the center to any point on the circle is called the radius, and it is the same for all points on the circle.
A circle is often represented by the symbol "⚪" or by writing its name. It is a fundamental concept in geometry and mathematics, and it has numerous properties and applications in various fields.
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HELP PLZZZ!!!! Hurry
3. What does doubling the number of coils do to the strength of the electromagnet?
4. What does doubling the voltage do to the strength of the electromagnet?
5. Using the graph, predict how many paper clips a 7.5 V battery would pick up for both the 25-
coil electromagnet and the 50-coil electromagnet.
6. Calculate the slope of the 25-coilline and the 50-coil line to determine the average number of
paper clips that a 1 V battery would pick up.
Answer:
3. When the number of turns, N is doubled, the strength of the electromagnet is also doubled
4. Doubling the voltage, doubles the strength of the electromagnet
5. The number of paper clips a 7.5 V battery would pick is approximately 28 paper clips
The number of paper clips a 7.5 V battery would pick is 59 paperclips
6. For the 50-coil electromagnet, the average number of paper clips a 1 V battery would pick is approximately 7 paperclips
For the 50-coil electromagnet, the average number of paper clips a 1 V battery would pick is 16 paperclips
Explanation:
3. The Magnetomotive Force, MMF = The Number of Turns on the Coil, N × The Current I Flowing in the Coil, I
∴ MMF = N × I
When the number of turns, N is doubled, the magnetomotive force, MMF is also doubled, and the strength of the electromagnet is doubled
4. Given that the voltage, V applied to the coil = The current, I flowing × The resistance, R of the coil, we have
V = I × R
Therefore, for a given constant resistance in the coil, doubling the voltage, doubles the current and therefore doubles the strength of the electromagnet
5. The average slope for the 25-coil electromagnet = (23 - 12)/(6 - 3) = 3.\(\bar 6\)
The number of paper clips a 7.5 V battery would pick = 12 + (7.5 - 3) × 11/3 = 28.5 paperclips ≈ 28 paper clips
The average slope for the 50-coil electromagnet = (48 - 26)/(6 - 3) = 7.\(\bar 3\)
The number of paper clips a 7.5 V battery would pick = 26 + (7.5 - 3) × 22/3 = 59 paperclips
6. The slope calculated from a start point of approximately 0.4 V, is given as follows;
The slope for the 25-coil electromagnet = (12 - 6)/(3 - 0.4) = 30/13
Therefore, for the 25-coil electromagnet, the average number of paper clips a 1 V battery would pick = 6 + (1 - 0.4) × 30/13) = 96/13 ≈ 7 paperclips
The slope for the 50-coil electromagnet = (26 - 13)/(3 - 0.4) = 5
Therefore, for the 50-coil electromagnet, the average number of paper clips a 1 V battery would pick = 13 + (1 - 0.4) × 5 = 16 paperclips
3. When the number of revolutions, N, is twice, the electromagnet's strength is doubled as well.
4. Doubling the voltage doubles the electromagnet's strength.
5. The number of paper clips selected by a 7.5 V battery is 59.
6. For a 50-coil electromagnet, a 1 V battery would pull up around 7 paperclips on average. The average number of paper clips picked by a 1 V battery for a 50-coil electromagnet is 16 paperclips.
What is electromagnet?The magnetic field of an electromagnet is created by an electric current. Electromagnets are caused from conducting wire wriggled into a coil.
A magnetic field is created in the hole by a current passing through the wire.
The magnetic field production is increased by;
1) increasing the number of turns
2) increase the area of the loop
3) by moving the magnet faster
Answer for the following given options as follows;
3. When the number of revolutions, N, is twice, the electromagnet's strength is doubled as well. Because the no of coils in the circuit is directly proportional to the strength of electromagnet.
4. From the ohm's law principal doubling the voltage twice the current and hence the electromagnet's strength for a given constant resistance in the coil increases.
5. For the 25-coil electromagnet, the average slope is ;
\(\rm m_{avg}= \frac{23-12}{6-3} \\\\ m_{avg}= 3\)
The number of paper clips selected by a 7.5 V battery is;
\(\rm n = 12+ (7.5-+3)\times \frac{11}{3}\\\\n = 28.5\)
For the 50-coil electromagnet, the average slope;
\(\rm (m_{avg})_{50}= \frac{48-26}{6-3} \\\\\ \rm (m_{avg})_{50}= 7\)
The number of paper clips selected by a 7.5 V battery is;
\(\rm N = 26+(7.5-3) \times \frac{22}{3} \\\\ N= 59\)
The following is the slope determined from a starting position of around 0.4 V:
For the 25-coil electromagnet, the slope is;
\(\rm m_{25}=\frac{12-6}{3-0.4} \\\\\ m_{25}=\frac{6}{2.6} \\\\ m_{25}=\frac{30}{13}\)
As a result, the average number of paper clips a 1 V battery would choose for the 25-coil electromagnet is;
\(\rm N_{25}=6+ (1-0.4)\times \frac{30}{13} \\\\ N_{25}=\frac{96}{13} \\\\ N_{25}= 7 \ paperclip\)
For the 50-coil electromagnet, the slope is;
(26 - 13)/(3 - 0.4) = 5.
As a result, the average number of paper clips picked by a 1 V battery is;
\(\rm N'_{50}= 13+ (1-0.14)\times 5 \\\\ N'_{50}=16\)
Hence,the average number of paper clips picked by a 1 V battery for a 50-coil electromagnet is 16 paperclips.
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A proton and an electron in a hydrogen atom are separated on the average by about 4.8x10-11 m. what is the magnitude and direction of the electric field set up by the proton at the position of the electron?
A proton and an electron in a hydrogen atom are separated on the average by about 4.8x10-11 m. The magnitude and direction of the electric field set up by the proton at the position of the electron is (E)= 6.24×10¹¹ N/C.
What is electric field?The electric field is a field that is created by any positive or negative charge. In an atom the electron or proton that creates a field that called the electric field.
How can we calculate the electric field?To calculate the electric field we are using the formula here ,
E= k(q/r²)
Where we are given,
k= The Coulomb's constant . = 8.99 ×10⁹ N.m²/C²
q= The charge of the electron. = 1.6×10⁻¹⁹ C
r= The distance of separation of atom. = 4.8×10⁻¹¹ m.
We have to calculate the electric field of the atom. = E
Now we put the values we get,
E= k(q/r²)
Or, E= 8.99 ×10⁹×(1.6×10⁻¹⁹/(4.8×10⁻¹¹)²)
Or, E= 6.24×10¹¹ N/C
Now we can say that, The magnitude and direction of the electric field set up by the proton at the position of the electron is (E)= 6.24×10¹¹ N/C.
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convert 15 km/hr to m/s
show work PLS HELPPPP
Answer:
Explanation:
we know that 1 km =1000 m and 1 hour=3600 sec
therefore
15 km/hr=15*1000 m/3600 sec=4.167 m/s
how strong is the electric field between two parallel plates 5.8mm apart if the potential difference between them is 200V?
The electric field strength between the two parallel plates is approximately 34,483 V/m.
Given DataPotential difference (V) = 200VDistance between plates (d) = 5.8mm = 0.0058mThe expression for the computation of the electric field between two plates is given as
Electric field (E) = Potential difference (V) / Distance between plates (d)
Substituting our given values into the expression we have:
E = 200V / 0.0058m
E ≈ 34,483 V/m
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What happens when kinetic energy is lost?
When an object loses kinetic energy, it means that the object is slowing down or stopping.
Kinetic energy is the energy that an object possesses as a result of its motion. It is typically represented by the symbol KE and has units of joules (J).
KE = 1/2 * m * v^2
There are several ways that an object can lose kinetic energy. One way is through friction, which occurs when two surfaces are in contact and rub against each other. Friction converts some of the kinetic energy of an object into heat energy. Another way that an object can lose kinetic energy is through air resistance, which occurs when an object is moving through a fluid or gas. Air resistance also converts some of the kinetic energy of an object into heat energy. Another way an object can lose kinetic energy is through collisions. When two objects collide, some of the kinetic energy of the objects is transferred to the other object. If the collision is inelastic, the total kinetic energy of the objects is not conserved, and some of it is converted into other forms of energy, such as heat or sound. Finally, an object can lose kinetic energy due to external forces, such as gravity. When an object is thrown upward, it initially has kinetic energy, but as it rises, it loses kinetic energy as it slows down and eventually comes to a stop at its maximum height. In summary, when an object loses kinetic energy, it means that it is slowing down or stopping. There are several ways that an object can lose kinetic energy, such as through friction, air resistance, collisions, and external forces.
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find the slope of the graph of the equation at the given point. (if an answer is undefined, enter undefined.) xy − 9y2 = 4, (20, 2)
The slope of the graph of the equation at the point (20, 2) is 1/8.
To find the slope of the graph of the equation at the given point (20, 2), we need to find the derivative of the equation with respect to x and evaluate it at x = 20. Let's differentiate the equation implicitly:
xy - 9y^2 = 4
To differentiate implicitly, we treat y as a function of x and apply the chain rule. Differentiating both sides of the equation with respect to x:
1 * y + x * dy/dx - 9 * 2y * dy/dx = 0
Simplifying this equation:
y + x * dy/dx - 18y * dy/dx = 0
Grouping the terms with dy/dx:
dy/dx * (x - 18y) = -y
Now, let's solve for dy/dx by dividing both sides by (x - 18y):
dy/dx = -y / (x - 18y)
Substituting the given point (20, 2) into the equation:
dy/dx = -2 / (20 - 18(2))
= -2 / (20 - 36)
= -2 / (-16)
= 1/8
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a pump is used to empty a 4400 l wading pool. the water exits the 2.0-cm-diameter hose at a speed of 1.8 m/s . part a how long will it take to empty the pool? express your answer in seconds. A 1.0 cm diameter pipe widens to 2.0 cm, then narrows to 0.50 cm. Liquid flows through the first segment at a speed of 4.0 m/sA pump is used to empty a 6000 L wading pool. The(a) What are the speed in the second and third segments? (Ans: 1.0 m/s, 16 m/s)(b) What is the volume flow rate through the pipe? (Ans: 3.14 x 10-4 m3/s)
The speed in the second segment is 1.0 m/s and the speed in the third segment is 16.0 m/s
To solve this problem, we can use the principle of continuity equation, which states that the volume flow rate of an incompressible fluid remains constant along a pipe or tube.
Part A:
Given:
\(Volume of the pool = 4400 L = 4400 dm^3 = 4400 x 10^-3 m^3\\Diameter of the hose = 2.0 cm = 2.0 x 10^-2 m\)
Speed of water exiting the hose = 1.8 m/s
To find the time taken to empty the pool, we need to calculate the volume flow rate (Q) and then divide the volume of the pool by the flow rate.
The cross-sectional area of the hose can be calculated using the formula for the area of a circle:
\(A = πr^2A = π(0.01 m)^2A = 3.14 x 10^-4 m^2\)
The volume flow rate (Q) can be calculated using the equation:
Q = A x v
\(Q = (3.14 x 10^-4 m^2) x (1.8 m/s)Q = 5.652 x 10^-4 m^3/s\)
To find the time, we divide the volume of the pool by the flow rate:
Time = Volume / Flow rate
\(Time = (4400 x 10^-3 m^3) / (5.652 x 10^-4 m^3/s)\)
Time = 7775.92 s
Therefore, it will take approximately 7776 seconds to empty the pool.
Part B:
Given:
\(Diameter of the first segment = 1.0 cm = 1.0 x 10^-2 m\\Diameter of the second segment = 2.0 cm = 2.0 x 10^-2 m\\Diameter of the third segment = 0.50 cm = 0.50 x 10^-2 m\)
Speed in the first segment = 4.0 m/s
To find the speeds in the second and third segments, we can use the principle of continuity equation.
According to the continuity equation:
A1v1 = A2v2 = A3v3
First, let's calculate the cross-sectional areas for each segment:
\(A1 = πr1^2 = π(0.005 m)^2 = 7.854 x 10^-5 m^2\\A2 = πr2^2 = π(0.01 m)^2 = 3.14 x 10^-4 m^2\)
\(A3 = πr3^2 = π(0.0025 m)^2 = 1.9635 x 10^-5 m^2\)
Using the continuity equation, we can solve for v2 and v3:
A1v1 = A2v2
v2 = (A1/A2) * v1
\(v2 = (7.854 x 10^-5 m^2) / (3.14 x 10^-4 m^2) * (4.0 m/s)\)
v2 = 1.0 m/s (rounded to one decimal place)
A2v2 = A3v3
v3 = (A2/A3) * v2
\(v3 = (3.14 x 10^-4 m^2) / (1.9635 x 10^-5 m^2) * (1.0 m/s)\)
v3 = 16.0 m/s (rounded to one decimal place)
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ASAP
An object was placed in 75 ml of water. When the object was then measured in the water, the new volume of the water with the object was 86 ml. What is the volume of the object?
Note: You only have to fill in the numerical answer.(no units)
Answer:
The answer is 11 mLExplanation:
To find the volume of the object we use the formula
volume of object = final volume of water - initial volume of water
From the question
final volume of water = 86 mL
initial volume of water = 75 mL
So we have
volume of object = 86 - 75
We have the final answer as
11 mLHope this helps you