Final answer:
Sound energy is a form of kinetic energy, not potential energy, because it arises from the motion and vibration of particles within a medium as the sound wave propagates.
Explanation:
Sound energy is not considered a type of potential energy because it is inherently associated with the motion of particles; therefore, it is a form of kinetic energy. Sound is a mechanical wave that results from the vibration of particles within a medium. As these particles oscillate, they transfer energy through the medium, resulting in what we perceive as sound. While a sound wave indeed combines kinetic and potential energy due to the motion of particles and the elasticity of the medium, the propagation of the wave itself and the sound energy we detect are manifestations of kinetic energy. In the case of potential energy, this form of energy is related to an object's position or state; for instance, a rock atop a hill has gravitational potential energy due to its elevated position in a gravitational field. Similarly, the chemical energy in a battery is potential energy based on the chemical composition and potential for a chemical reaction.
To help visualize the concept, consider water behind a dam. The water has potential energy because of its elevated position. As it moves and flows through turbines, it converts this potential energy into kinetic energy, which then can be harnessed to produce electricity. In contrast, when a guitar string is plucked, the energy initially stored in the deformed string is potential energy, but as the string returns to its normal state and vibrates, it generates sound—which is an expression of kinetic energy. Thus, when sound is produced, it is the motion and transfer of energy through a medium, reflecting kinetic, not potential, energy characteristics.
A 90 kg person stands at the edge of a stationary children's merry-go-round at a distance of 5.0 m from its center. The person starts to walk around the perimeter of the disk at a speed of 0.80 m/s relative to the ground. What rotation rate does this motion impart to the disk if [tex]I_{disk} = 20,000 kg*m^2[/tex]. (The person's moment of inertia is [tex]I = mr^2[/tex])
Answer:
[tex]\omega = 0.016\,\frac{rad}{s}[/tex]
Explanation:
The rotation rate of the man is:
[tex]\omega = \frac{v}{R}[/tex]
[tex]\omega = \frac{0.80\,\frac{m}{s} }{5\,m}[/tex]
[tex]\omega = 0.16\,\frac{rad}{s}[/tex]
The resultant rotation rate of the system is computed from the Principle of Angular Momentum Conservation:
[tex](90\,kg)\cdot (5\,m)^{2}\cdot (0.16\,\frac{rad}{s} ) = [(90\,kg)\cdot (5\,m)^{2}+20000\,kg\cdot m^{2}]\cdot \omega[/tex]
The final angular speed is:
[tex]\omega = 0.016\,\frac{rad}{s}[/tex]
Using the principle of conservation of angular momentum, the person's movement imparts an angular velocity of 0.018 rad/s to the disk.
To solve this problem, we'll need to use the principle of conservation of angular momentum, which states that the total angular momentum before an event must equal the total angular momentum after the event if no external torques act on the system.
Given Data:
Mass of the person, m = 90 kgDistance from the center, r = 5.0 mSpeed of the person relative to the ground, v = 0.80 m/sMoment of inertia of the disk, I(disk)= 20,000 kg·m²First, calculate the person's moment of inertia relative to the center of the disk:
I(person) = m * r2 = 90 kg * (5.0 m)² I(person) = 2250 kg·m²Initial angular momentum of the person (since they are initially stationary) is 0.
When the person starts moving, they contribute angular momentum relative to the axis:
L(person) = I(person) * ω L(person) = 2250 kg·m² * v/r L(person) = 2250 kg·m² * 0.8 m/s / 5.0 m L(person) = 360 kg·m²/sSince the merry-go-round was initially stationary, its initial angular momentum L(disk-initial) is 0.
By conservation of angular momentum, the total angular momentum before must equal the total angular momentum after:
L(total-initial) = L(total-final)0 + 0 = I(disk) * ω + L(person)0 = 20,000 kg·m² * ω + 360 kg·m²/sSolving for the angular velocity ω of the disk:
ω = -360 kg·m²/s / 20,000 kg·m² ω = -0.018 rad/sHence, the disk will rotate with an angular velocity of 0.018 rad/s in the direction opposite to the person’s motion due to the conservation of angular momentum.
Which stars has the coolest surface temperature?
Answer:
Red Dwarf
Explanation:
Red Dwarf have low temperature having range from 2500 K to 4000 K.They are red in appearance due to their low temperature.Proxima Centauri is a red Dwarf.They have low luminosity. They have small mass and have high density.What are the two most common ways to produce hydrogen gas used in fuel cells?
Answer:
Steam-methane reforming
Electrolysis of water
Explanation:
Steam methane reforming involves reaction of methane with water in the presence of a catalyst such as nickel to form Carbon oxides and Hydrogen.
CH4 + H2O ⇌ CO + 3 H
Electrolysis of water involves splitting of water through application of electric current to give Hydrogen and Oxygen gas.
2 H2O(l) → 2 H2(g) + O2(g)
Hydrogen gas for fuel cells is commonly produced through steam reforming and electrolysis. In steam reforming, steam is passed over coke to produce hydrogen and carbon monoxide. In electrolysis, water is split into hydrogen and oxygen gases with a power supply.
Explanation:
The two most common ways to produce hydrogen gas used in fuel cells are through steam reforming and electrolysis. Steam reforming involves passing steam over coke at high temperatures, which produces a mixture of carbon monoxide and hydrogen gas, also known as water gas.
In the electrolysis process, water is split into hydrogen and oxygen gases by the addition of energy using a battery or power supply. For fuel cells, hydrogen obtained from these processes is continuously fed into the cell with an oxidant and undergoes redox chemistry that generates electrical energy and water as the waste product. The fuel cell reactions are catalyzed on graphite electrodes embedded with platinum-based catalysts.
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When current is flowing through a car’s rear defroster (Exercise 33), the voltage at each end of the metal strips is different. Which end of each strip has the higher voltage, the one through which current enters the strip or the one through which current leaves, and what causes the voltage drop?
The voltage released because the charges in the current dropped electric potential energy; this energy loss occured due to the resistance of the metal strips.
Explanation:
Current flows from huge voltage (high potential) to base voltage (low potential). So the end of the strip wherever the current goes at a higher voltage than the end of the strip where the current leaves. The voltage released because the charges in the current dropped electric potential energy; this energy loss occured due to the resistance of the metal strips. The electric potential energy converted into thermal energy, heating the strips.
An electric water heater is rated ar 5,500 watts abd operates fir 106 hours per month how much electric energy in kwh does the water heater use each month
Answer:
The heater use 583 kWh of electrical energy per month.
Explanation:
Given that,
Power of the water heater, P = 550 watts
It is operated for 106 hours
The electrical energy used by the heater per unit time is called its power. So,
[tex]P=\dfrac{E}{t}\\\\E=P\times t\\\\E=5500\ W\times 106\ h\\\\E=583000\ Wh\\\\E=583\ kWh[/tex]
So, the heater use 583 kWh of electrical energy per month.
Several factors affect lift. Name the one factor having the
greatest effect on the magnitude of lift.
A. wing thickness
B. area
C. altitude
D. aileron
One end of a 7-cm-long spring is attached to the ceiling. When a 5.4 kg mass is hung from the other end, the spring is stretched by a length of 4.3 cm. How long is the spring when a 3.3 kg mass is suspended from it in cm?
Using Hooke's Law, we determined the spring constant to be approximately 1230 N/m. For a 3.3 kg mass, the extension is 2.63 cm. Therefore, the total length of the spring is 9.63 cm.
To find the length of the spring when a 3.3 kg mass is suspended from it, we need to determine the spring’s force constant (k). Using Hooke's Law, F = kx, where F is the force due to the mass, k is the spring constant, and x is the extension. First, convert the masses to forces (F = mg) using g = 9.8 m/s².
Force with 5.4 kg mass: F = 5.4 kg × 9.8 m/s² = 52.92 NSpring extension with 5.4 kg mass: x = 4.3 cm = 0.043 mSpring constant: k = F / x = 52.92 N / 0.043 m ≈ 1230 N/mNow, we use this constant to find the extension for the 3.3 kg mass:
Force with 3.3 kg mass: F = 3.3 kg × 9.8 m/s² = 32.34 NExtension: x = F / k = 32.34 N / 1230 N/m ≈ 0.0263 m = 2.63 cmAdd the extension to the original spring length:
New length of the spring: 7 cm + 2.63 cm = 9.63 cm.
Lumber has been manufactured in Texas since the early nineteenth century. In the beginning, these companies cut down all of the trees before moving on to the next area. Now many lumber companies participate in reforestation which is the natural or intentional restocking of existing forests and woodlands that have been depleted.
What impact does reforestation have on the environment?
A) negative - reforestation provides a sustainable plan to use a renewable resource
B) positive - reforestation provides a sustainable plan to use a renewable resource
C) negative - reforestation provides a sustainable plan to use a nonrenewable resource
D) positive - reforestation provides a sustainable plan to use a nonrenewable resource
i need help toExplanation:
Answer:
B Is the Answer
Explanation: Trust me it is :P
"A total charge of 9.0 mC passes through a wire in 3.5 seconds. What is the current in the wire? How many electrons pass through the cross-sectional area in 10.0 s? If the number of charges that pass through the cross-sectional area during the given time interval doubles, what is the resulting current?"
1) 0.00257 A
2) [tex]1.6\cdot 10^{17}[/tex] electrons
3) 0.00512 A
Explanation:
1)
A current is defined as the flow of charge through a conductor.
The intensity of current is calculated as:
[tex]I=\frac{q}{t}[/tex] (1)
where
q is the amount of charge passing through a certain point in the conductor
t is the time interval during which this charge passes
In the wire in this problem we have:
[tex]q=9.0 mC=0.009 C[/tex] is the charge
[tex]t=3.5 s[/tex] is the time elapsed
Therefore, the current in the wire is:
[tex]I=\frac{0.009}{3.5}=0.00257 A[/tex]
2)
To find the total charge passing through a given point of the wire in a certain time, we re-arrange eq. (1):
[tex]q=It[/tex]
where
I is the current
t is the time interval we are considering
In this problem we have:
I = 0.00257 A is the current in the wire
t = 10.0 s is the time we are considering
Therefore, the charge is:
[tex]q=(0.00257)(10.0)=0.0257 C[/tex]
We know that this charge q consists of N electrons, so we can write
[tex]q=Ne[/tex]
where
[tex]e=1.6\cdot 10^{-19}C[/tex] is the charge of one electron
Solving for N, we find:
[tex]N=\frac{q}{e}=\frac{0.0257}{1.6\cdot 10^{-19}}=1.6\cdot 10^{17}[/tex]
3)
In this problem, we are told that the number of charges that pass through the cross-sectional area during the given time interval doubles, so we have:
[tex]N'=2N=2(1.6\cdot 10^{17})=3.2\cdot 10^{17}[/tex]
Therefore, the total charge through the point in the wire in a time of
t = 10.0 s
will be
[tex]q'=N'e=(3.2\cdot 10^{17})(1.6\cdot 10^{-19})=0.0512 C[/tex]
And so, the current in this case will be
[tex]I'=\frac{q'}{t}=\frac{0.0512}{10.0}=0.00512 A[/tex]
And we see that this current is twice the current we had in part 1), because the current is proportional to the number of charge carriers.
The charges are [tex]0.00257\ A[/tex], [tex]1.6 \times 10^{17}[/tex] electrons, and [tex]0.00512 \ A[/tex], and their further calculation can be defined as follows:
Current calculation:For part 1:
A movement of energy via a conductor is known as just a current.
This current's strength is computed as:
[tex]I=\frac{q}{t}.....(1)[/tex]
wherein q is the quantity of charge travelling through a specific location in the conductor, and t denotes a time interval during which this charge flows.
In the this problem, we have the following wire:
[tex]\to q=9.0 \ m C=0.009\ C[/tex] charges
Time elapsed [tex]t=3.5 \ s[/tex]
current wire:
[tex]\to I=\frac{0.009}{3.5}= 0.00257 \ A[/tex]
For part 2:
You re-arrange eq. (1) to obtain that total charge passing through a particular location of the wire inside a given time.
[tex]\to q=It\\\\[/tex]
where
current =I
interval time =t
[tex]I = 0.00257\ A[/tex] current in the wire
[tex]t = 10.0\ s[/tex]
Calculating the charge:
[tex]\to q=(0.00257) (10.0) =0.02575\ C[/tex]
We assume there are N electrons in this test charge, thus we can write
[tex]q=Ne\\\\[/tex]
where
Calculating the charge in one electron
[tex]e=1.6 \times 10^{-19}\ C[/tex]
Solving for N:
[tex]\to N=\frac{q}{e}=\frac{0.0257}{1.6\times 10^{-19}}=1.6 \times 10^{17}\\\\[/tex]
For point 3:
A number of charges which it pass through the cross-sectional area during the given time interval doubles in this issue, so we have:
[tex]\to N'=2N=2(1.6 \times 10^{17})=3.2\times 10^{17}\\\\[/tex]
As a result, the complete charge passed through the wire point in a period of
[tex]t = 10.0\ s\\\\[/tex]
[tex]\to q'=N'e=(3.2\times 10^{17})(1.6\times 10^{-19})=0.0512\ C\\\\[/tex]
So, in this scenario, the current will be
[tex]\to I'=\frac{q'}{t}=\frac{0.0512}{10.0}=0.00512\ A\\\\[/tex]
Because the current is proportional to the number of charge carriers, we can see that this current is twice as large as the current we had in part 1.
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What often happens to light when it travels from one medium to another
Answer:
Although the speed changes and wavelength changes, the frequency of the light will be constant. The frequency, wavelength, and speed are related by: The change in speed that occurs when light passes from one medium to another is responsible for the bending of light, or refraction, that takes place at an interface.
Explanation:
brainliest for the first person to answer Which is a characteristic of an electromagnetic wave?
The fields are at right angles to each other and to the direction of the wave.
The waves are produced when an electric charge is at rest.
The fields are aligned with each other and to the direction of travel.
The fields are independent of each other.
Answer:the fields are at right angles to each other and to the direction of the wave.
Explanation: gradpoint
Cooling systems, such as air conditioners and refrigerators, transfer thermal energy in order to keep homes and cars cool or to keep food cold. In a refrigerator, for example, thermal energy is transferred from the cool air inside the refrigerator to the warmer air in the kitchen. Thermal energy naturally moves from a warmer area to a cooler area, so how can it move from the cooler refrigerator to the warmer room?
Refrigerators and air conditioners use heat transfer, requiring a work input, to move thermal energy from cooler to warmer spaces. They absorb thermal energy from the cooler area, transfer it to a hotter reservoir while discharging heat back into the environment. These are essentially heat engines run backward, not in strict reverse.
Explanation:Contrary to what may seem natural, appliances like refrigerators and air conditioners utilize a concept known as heat transfer to move thermal energy from a cooler space to a warmer one. This process requires a work input, typically provided by a motor or cooling substance.
The process occurs in stages. Firstly, the appliance absorbs thermal energy (denoted as Qc) from the cooler area. Secondly, this energy is transferred to a hotter reservoir, simultaneously discharging thermal energy (Qh) back into the warmer environment. The work input (W) is crucial here as it aids in moving the energy from the cool to the warm region, thereby keeping the cooler region at a lower temperature.
Finally, it's important to remember that these systems don't exactly run in reverse. Instead, they are essentially heat engines run backward, implying that while they perform opposite functions, they don't strictly follow a reversed process of a heat engine.
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A completely inelastic collision occurs between two balls of wet putty that move directly toward each other along a vertical axis. Just before the collision, one ball, of mass 3.8 kg, is moving upward at 19 m/s and the other ball, of mass 1.6 kg, is moving downward at 11 m/s. How high do the combined two balls of putty rise above the collision point? (Neglect air drag.)
Answer:
[tex]\Delta h = 5.212\,m[/tex]
Explanation:
The inelastic collision is modelled by using the Principle of Momentum Conservation:
[tex](3.8\,kg)\cdot (19\,\frac{m}{s} ) + (1.6\,kg)\cdot (-11\,\frac{m}{s} ) = (3.8\,kg + 1.6\,kg)\cdot v[/tex]
The final velocity is:
[tex]v = 10.111\,\frac{m}{s}[/tex]
The maximum height of the composite system is:
[tex](0\,\frac{m}{s})^{2} = (10.111\,\frac{m}{s} )^{2} - 2\cdot (9.807\,\frac{m}{s^{2}} )\cdot \Delta h[/tex]
[tex]\Delta h = 5.212\,m[/tex]
Answer:
5.21m
Explanation:
We are given that;
mass of first ball; m1 = 3.8kg
Speed of first ball; v1 = 19 m/s upwards
Mass of second ball; v2 = 1.6 kg
Speed of second ball; v2 = 11 m/s downwards
From conservation of linear momentum,
m1v1 + m2v2 = m_t•v_t
Where,
m1v1 is momentum of first ball
m2v2 is momentum of second ball
m_t•v_t is the combined momentum of the 2 balls.
Let's make v_t the subject
v_t = [m1v1 + m2v2]/m_t
m_t is the combined mass of both balls.
Since first and second ball are moving in opposite directions, thus;
v_t = [m1v1 - m2v2]/m_t
Thus, m_t = 3.8 + 1.6 = 5.4kg
Thus, plugging in the relevant values, we have;
v_t = [(3.8 x 19) - (1.6 x 11)]/5.4
v_t = [(3.8 x 19) - (1.6 x 11)]/5.4
v_t = (72.2 - 17.6)/5.4
v_t = 54.6/5.4 = 10.11 m/s
Now, from equation of motion,
v² = u² + 2gh
Where u is initial velocity which is now v_t while final velocity v is zero.
Now, since gravity is acting against motion, g = - 9.8m/s²
Thus,
v² = u² + 2gh gives;
0² = 10.11² - (2 x 9.8 x h)
19.6h = 102.212
h = 102.212/19.6
h = 5.21 m
What factors affect the resistance of a conductor?
Answer:
Length, Area, Conductivity, Temperature
Explanation:
The factors affection the resistance of a conductor are
(1) Length of the conductor (L): As the length (L) of the conductor increases, the Resistance(R) of the conductor also increase.
R ∝ L
(2) Cross sectional Area of the conductor(A): As the cross sectional area of the conductor(A) increases, the Resistance (R) of the of the conductor decreases.
R ∝1/A
(3) conductivity of the conductor(G): As the conductivity of the (G) of the conductor increases, the Resistance(R) of the conductor decreases.
R ∝ 1/G
(4) Temperature(T): As temperature(T) increases, the Resistance(R) of a conductor decreases.
T ∝ R
Answer:
Explanation:
There are four factors affecting resistance which are
Temperature,
Length of wire,
Area of the cross-section of wire and
nature of the material.
Gas is confined in a tank at a pressure of 1.0 x 10^8 Pa and a temperature of 15.0c. If half the gas is withdrawn and the temperature is raised to 65.0c, what is the new pressure in the tank in Pa?
Answer:
[tex]5.868 \times 10^7 Pa[/tex]
Explanation:
If half the gas is drawn then pressure would have dropped by half
[tex]P_1 = 10^8 /2 = 5\times10^7 Pa[/tex]
Assuming ideal gas, if temperature rises from 15c (T1 = 15 + 273 = 288 K) to 65 c (T2 = 65 + 273 = 338 K), then we have the following equation for ideal gas
[tex]\frac{P_1}{T_1} = \frac{P_2}{T_2}[/tex]
[tex]P_2 = T_2\frac{P_1}{T_1} = 338\frac{5\times10^7}{288} = 5.868 \times 10^7 Pa[/tex]
Technician A says that hill assist and hill descent controls are added features to some electronic stability control systems. Technician B says that trailer sway control is an added feature to some electronic stability control systems. Who is correct
Answer:
Both technicians A and B
Explanation:
Both trailer sway control, hill assist and hill descent controls are additional featires that enhance stability of electronics and their control systems. Majorly, these features track and reduce skidding in electronics, therfore, enhancing electronic system stability. During the process, these newly added features help to automatically apply brakes and direct the sytem where the controller wants to take it.
A scientist who studies teenage behavior was interested in determining if teenagers spend more time playing computer games then they did in the 1990s. In 1990s, the average amount of time spent playing computer games was 10.2 hours per week. Is the amount of time greater than that for this year? Ten students were surveyed and asked how many hours they spent playing video games. The test statistics is equal to 0.45.What is the p-value?greater than 0.10between 0.010 and 0.025less than 0.001between 0.001 and 0.005between 0.005 and 0.010between 0.025 and 0.05between 0.05 and 0.10
Answer:
greater than 0.10
Explanation:
The null hypothesis is:
[tex]H_{0} = 10.2[/tex]
The alternate hypotesis is:
[tex]H_{1} > 10.2[/tex]
Our test statistic is:
[tex]t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the statistic, [tex]\mu[/tex] is the mean, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
We have that:
[tex]t = 0.45[/tex]
We are testing if X is greater than 0.45, so our pvalue is 1 subtracted by the pvalue of z = t = 0.45.
z = 0.45 has a pvalue of 0.6736
1 - 0.6735 = 0.3264
So our pvalue is 0.3264, which is greater than 0.10.
So the correct answer is:
greater than 0.10
Here the test sta-tis-tics should be greater than 0.10.
Calculation of the test statistics:Since In 1990s, the average amount of time spent playing computer games was 10.2 hours per week.
Here, t = 0.45
So in the case when X is greater than 0.45, so our pvalue is 1 subtracted by the p-value of z = t = 0.45.
z = 0.45 has a p-value of 0.6736
1 - 0.6735 = 0.3264
Now
our p-value is 0.3264, which is greater than 0.10.
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A magnet is placed inside a small cube which is placed inside a larger cube which has eight times the volume of the smaller cube How does the net magnetic flux through the large cube compare to that through the smaller cube?
Answer:
The magnetic flux through the two cubes is zero in both cases
Explanation:
To answer this question, we have to think about the nature of magnetic fields.
In fact, we know that magnetic sources always exist only as magnetic dipoles: this means that a magnet always has a north pole (from which the magnetic field lines go away) and a south pole (into which the magnetic field lines return). There exist no magnetic monopoles: even when we cut a magnet in a half, we end up having two magnets, each of them having its own north pole and south pole.
A direct consequence of this fact is that if we take a closed surface, such as a cube surrounding the magnet, the magnetic flux through the cube is always zero. This is because all the field lines going out the surface of the cube always return inside the cube on another point. Since the magnetic flux basically represents the number of field lines passing through the surface of the cube, this means that the net positive magnetic flux (lines going out of the cube) is equal to the net negative magnetic flux (lines going into the cube).
As a result, the magnetic flux is zero for both the smaller cube and the larger cube.
Compare and contrast absolute dating and relative dating.
Answer:
Relative dating involves the dating of geological events and
formations that occured/existed throughout the whole geological
history, and this eventually gives the relative age of the earth.
While, Absolute dating involves the use of isotopes and radioactive
elements (radioactivity) and also the study and relation of
meteorites and moon rocks, which eventually gives the actual/absolute age of the earth. The meteorites and moon rocks are
believed to have formed virtually at the same time with earth and
are therefore, considered to be of the same age as earth.
Explanation:
Answer:
Absolute dating and relative dating are both methods used to determine the age of a fossil. Absolute dating gives the actual age of a fossil in years based on the amount of radioactive and stable elements in the fossil. Relative dating gives an estimate of the age of a fossil based on the location of the fossil in relation to other fossils.
Explanation:
sample response
On a flat, level road, a 1500-kilogram car travels around a curve having a constant radius of 45 meters. The centripetal acceleration of the car has a constant magnitude of 3.2 meters per second squared. Calculate the car's speed as it travels around the curve
Answer:
Speed of the car around the circular path will be 12 m/sec
Explanation:
We have given mass of the car m = 1500 kg
Radius of the curve r = 45 m
Centripetal acceleration of the car [tex]a=3.2m/sec^2[/tex]
We have to find the speed of the car
We know that centripetal acceleration is given by [tex]a=\frac{v^2}{r}[/tex], here v is car speed along the circular path and r is radius of the curve
So [tex]3.2=\frac{v^2}{45}[/tex]
[tex]v^2=144[/tex]
v = 12 m/sec
So speed of the car around the circular path will be 12 m/sec
The car's speed as it travels around the curve is 12m/sec.
Given that,
On a flat, level road, a 1500-kilogram car travels around a curve having a constant radius of 45 meters. The centripetal acceleration of the car has a constant magnitude of 3.2 meters per second squared.Based on the above information, the calculation is as follows:
[tex]3.2 = v^2 \div 45\\\\v^2 = 144[/tex]
v = 12
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An oscillating bock-spring system has a mechanical energy of 1.0 J, an amplitude of 0.10 m, and a maximum speed of 1.2 m/s. Find (a) the force constant of the spring, (b) the mass, and (c) the frequency of oscillation.
Answer:
a) [tex]k = 200.016\,\frac{N}{m}[/tex], b) [tex]m = 1.389\,kg[/tex], c) [tex]f = 0.524\,hz[/tex]
Explanation:
a) The maximum speed of the oscillating block-spring system is:
[tex]v_{max} = \omega \cdot A[/tex]
The angular frequency is:
[tex]\omega = \frac{v_{max}}{A}[/tex]
[tex]\omega = \frac{1.2\,\frac{m}{s} }{0.1\,m}[/tex]
[tex]\omega = 12\,\frac{rad}{s}[/tex]
The mass of the system is:
[tex]E = \frac{1}{2}\cdot m\cdot v_{max}^{2}[/tex]
[tex]m = \frac{2\cdot E}{v_{max}^{2}}[/tex]
[tex]m = \frac{2\cdot (1\,J)}{(1.2\,\frac{m}{s} )^{2}}[/tex]
[tex]m = 1.389\,kg[/tex]
The spring constant is:
[tex]\omega = \sqrt{\frac{k}{m} }[/tex]
[tex]k = \omega^{2}\cdot m[/tex]
[tex]k = (12\,\frac{rad}{s} )^{2}\cdot (1.389\,kg)[/tex]
[tex]k = 200.016\,\frac{N}{m}[/tex]
b) The mass is:
[tex]m = 1.389\,kg[/tex]
c) The frequency of oscillation is:
[tex]\omega = 2\pi\cdot f[/tex]
[tex]f = \frac{2\pi}{\omega}[/tex]
[tex]f = \frac{2\pi}{12\,\frac{rad}{s} }[/tex]
[tex]f = 0.524\,hz[/tex]
Answer:
a) F = 20 N
b) m = 1.39 kg
c) f = 1.909 Hz
Explanation:
Given
E = 1 J
A = 0.1 m
vmax = 1.2 m/s
a) F = ?
b) m = ?
c) f = ?
Solution
a) We apply the equation
E = 0.5*k*A²
then
k = 2*E/A²
k = 2*1 J/(0.1 m)²
k = 200 N/m
then we use the equation
F = kA
F = (200 N/m)(0.1 m)
F = 20 N
b) We use the formula
E = K + U
if U = 0 J
then
E = K = 0.5*m*v²
⇒ m = 2*K/v²
m = 2*1 J/(1.2 m/s)²
m = 1.39 kg
c) we apply the equation
f = (1/2π)√(k/m)
then
f = (1/2π)√(200 N/m/1.39 kg)
f = 1.909 Hz
Two football players are squared off against each other on the gridiron. Big Bubba has a mass of 125 kgs
but he's slower than a snail, only able to run at a measly 7 m/s. Lil' Pete, on the other side of the line, is a
skinny 80 kg, but can run like a rocket at -10 m/s. Assume that these two players are running directly at
each other and then, Wham!, they collide and bounce off of each other. To nobody's surprise, Lil' Pete
gets knocked backward with a velocity of +10 m/s; however, Big Bubba is also knocked backward: what is
Big Bubba's velocity after the collision?
Answer:
-5.8 m/s
Explanation:
Given:-
- The mass of Big Bubba, mb = 125 kg
- The mass of Lil' Pete, mp = 80 kg
- The initial velocity of Big Bubba, vb = 7 m/s
- The initial velocity of Lil Pete , vp = -10 m/s
- The velocity after impact of Lil' Pete, vp' = + 10 m/s
- The velocity after impact of Big Bubba = vb'
Find:-
what is Big Bubba's velocity after the collision?
Solution:-
- We will consider the two football players as particles of mass mb and mp with their respective velocities vb and vp heading towards each other.
- The masses collide and both reverse in direction with velocities vb' and vp'.
- The system of the two masses have no external forces acting on it; hence, the system is isolated from any fictitious forces.
- For above conditions we can apply the principle of conservation of linear momentum. The linear momentum of two football players before ( Pi ) and after the impact ( Pf ) remain constant. The conservation is:
Pi = Pf
mb*vb + mp*vp = mb*vb' + mp*vp'
mb*vb + mp*( vp - vp' ) = mb*vb'
- Develop an expression for Big Bubba's velocity after impact vb':
vb' = vb + mp/mb*( vp - vp' )
- Plug in the values and evaluate:
vb' = 7 + 80/125*( -10 - 10 )
vb' = 7 - 80*20 / 125
vb' = -5.8 m/s
Answer: The velocity of Big Bubba after impact is vb' = -5.8 m/s
How is potential energy transformed into kinetic energy
Answer:
Potential energy is converted into kinetic energy by a force. For example, when you pick up a rock, you work against gravity to give it some potential energy. And then when you drop it, the gravitational force causes the rock to accelerate towards the ground
Explanation:
Potential energy is transformed into kinetic energy through various natural processes. An example is a rollercoaster which at the peak has high potential energy due to its height, but as it descends and increases speed, the potential energy is transformed into kinetic energy. This phenomenon is guided by the Law of Conservation of Energy.
Explanation:In physics, potential energy is stored energy that an object has due to its position or state. Kinetic energy on the other hand, is the energy that an object possesses due to its motion. The transformation between these two forms of energy occurs continuously in the natural world.
For instance, think of a rollercoaster at the peak of a track. It has a high potential energy because of its height. As the rollercoaster starts to descend, the potential energy is transformed into kinetic energy as the rollercoaster increases speed (due to gravity). When it gets to the lowest point, all of its potential energy has been converted into kinetic energy. This cycle continues for the duration of the ride, with the rollercoaster's energy constantly being transformed between potential and kinetic.
This transformation between potential and kinetic energy is referred to as the Law of Conservation of Energy, which states that energy cannot be created or destroyed, it can only be transformed from one form to another.
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Rank the following objects from least momentum to most momentum.
Fast car .Parked truck.
Slow car .Fast baseball.
Fast feather
Answer:
Parked truck
Fast feather
fast baseball
slow car
fast car
1. Name the type of movement used as an input
The type of movement used as an input includes gliding, angular, rotational, or special movement. These movements refer to instances like bone surfaces moving past each other, changes in the angle between joint bones, rotation of a bone around its own axis, and specific non-classifiable movements.
Explanation:The type of movement used as an input varies depending on the situation and mechanism in question. In the broader sense, common types of movement used as inputs include: gliding, angular, rotational, or special movement.
Gliding movements occur as flat bone surfaces move past each other, such as the joints of the carpal and tarsal bones. Angular movements change the angle between bones of a joint, observed in actions like flexion and extension. Rotational movements result in the rotation of a bone around its own axis, while special movements that don't fit into the previous categories involve specific movements, like inversion, eversion, protraction, retraction, elevation, depression, dorsiflexion, plantar flexion, supination, pronation, or opposition.
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Which weather instrument is used to measure air temperatures recorded on a weather map?
Answer:
Thermometer
Explanation:
Hence the name Thermo meaning heat.
Is it possible to study just one atom?
?
Answer:It is not possibly
Explanation:
Yes, it is possible to study single atoms using techniques like ultrafast laser spectroscopy and devices like the scanning tunneling electron microscope, which allow for detailed observations of individual atomic behavior and theoretical modeling.
Explanation:It is indeed possible to study just one atom. Advanced experimental techniques, such as ultrafast laser spectroscopy and devices like the scanning tunneling electron microscope, have made observations of individual atoms feasible. These methods provide a profound understanding of atomic behavior and properties. Theoretical approaches, which include molecular dynamics calculations, offer insights by numerically solving Newton's equations of motion, thus allowing us to peek into the microscopic world.
This computational approach acts as a bridge toward grasping the complex interactions within systems containing a relatively large number of particles, approaching macroscopic behavior. Furthermore, the derivation of energy levels for electrons within atomic structures showcases the depth of study that individual atoms can be subjected to, advancing our comprehension of nuclear and electronic properties.
Define wavelength as it relates to the electromagnetic spectrum.
In relation to the electromagnetic spectrum,wavelength is defined as a distance between peak of waves. It goes on decreasing from moving left to right in the electromagnetic spectrum as the energy increases.
What is electromagnetic spectrum?The electromagnetic spectrum consists of radiation which consists of waves made up of the electromagnetic field which are capable of propogating through space and carry the radiant electromagnetic energy.
The radiation are composed of electromagnetic waves which are synchronized oscillations of electric and magnetic fields . They are created due to change which is periodic in electric as well as magnetic fields.
In vacuum ,all the electromagnetic waves travel at the same speed that is with the speed of air.
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Is a forceful bouncing movement which can cause the muscle to contract instead of relax, making it harder to stretch and can cause damage to the muscle tissue
Answer:yes it isss
Explanation:
Two carts collide elastically. The second cart is pushed horizontally in the positive direction on a frictionless surface with a force of F2. The carts have masses m1 and m2, respectively. What acceleration does the first cart feel during the collision? Remember it's a vector.
Answer:
[tex]-\frac{F_2}{m_1}[/tex]
Explanation:
First of all, we notice that the collision is elastic: this means that there are no external forces acting on the system, as the total momentum and the total kinetic energy of the system are conserved.
The force acting on the cart 2 is
[tex]F_2[/tex]
According to Newton's third law of motion:
"When an object 1 exerts a force on another object 2, then object 2 exerts an equal and opposite force on object 1"
Therefore, if we call [tex]F_1[/tex] the force exerted on cart 1 during the collision, we can write
[tex]F_1=-F_2[/tex]
According to Newton's second law of motion, the net force acting on an object is equal to the product between its mass (m) and its acceleration (a):
[tex]F=ma[/tex]
So for cart 1 we have:
[tex]F_1=m_1 a_1[/tex]
And som the acceleration of cart 1 is
[tex]a_1=\frac{F_1}{m_1}=-\frac{F_2}{m_1}[/tex]
Where the negative sign means that the direction of the acceleration of cart 1 is opposite to the direction of the force F2.