The given statement that the potential energy of a bob of simple pendulum will be maximum when it is straight down during a cycle, is false. Potential energy is minimum when bob of the pendulum is straight down.
Potential energy is the energy which is possessed by the object due to position relative to other object. Gravitational potential energy of an object is due to its position with respect to the ground. It is formulated as p = mgh.
Kinetic energy is the energy which is possessed by the object due to the virtue of its motion. It is formulated as: K = 0.5mv²
So when the bob of a simple pendulum is straight down during a cycle, its having the maximum velocity. Thus the kinetic energy will be maximum and not the potential energy. Hence the given statement is false.
--The given question is incomplete, the complete question is:
"Is it true or false that when the bob of a simple pendulum is straight down during a cycle, the potential energy will be at maximum since its mass is traveling at a maximum velocity."--
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what is the fundamental frequency (in hz) of a 0.548 m long tube, open at both ends, on a day when the speed of sound is 344 m/s?
The fundamental frequency (in hz) of a 0.548 m long tube is: 627.73 Hz
What is frequency?It can be said that it is the physical quantity that measures the number of times or cycles in which a wave is repeated over time in seconds. Its unit of measurement is the Hertz (Hz).
To solve this exercise the frequency formula we will use is:
λ = v / f
Where:
f= frequencyv= wave velocityλ= wavelengthGiven info
f=? HZv= 344 m/sλ = 0.548 m1 Hz = s˄ -1Applying the wavelength formula and clearing frequency we have:
f= 344 m/s / 0.548 m
f = 627.73 Hz
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a car travels 95 km to the north at 70.0 km/h, then turns around and travels 21.9 km at 80.0 km/h. what is the difference between the average speed and the average velocity on this trip?
The average speed of the car on this trip is 76.4 km/h, which is the total distance travelled divided by the total time taken.
The average velocity, on the other hand, is 0 km/h, as the car has travelled in a straight line and has not changed direction. Therefore, the difference between the average speed and the average velocity is 76.4 km/h.
It is important to note that the average speed and velocity are two different measures of the same quantity. The difference between them can be seen in terms of the direction of the car's displacement. While the average speed gives the total distance travelled, the average velocity gives the direction in which the car has been travelling, and its magnitude.
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4. A cup is made of an experimental material that can hold hot liquids. The 0.75 kg cup has an initial temperature of 36.5°C when it is submerged in 1.25 kg of water with an initial temperature of 20.0°C. What is the cup's specific heat capacity if the final temperature is 24.4°C?
The cup's specific heat capacity if the final temperature is 24.4°C is 2.54J/kg°C.
How to calculate specific heat capacity?Specific heat capacity of a substance can be calculated using the following expression:
Q = mc∆T
Where;
Q = quantity of heat absorbed or releasedm = mass of substancec = specific heat capacity∆T = change in temperaturemc∆T (water) = - {mc∆T} (metal)
1.25 × 4.184 × 4.4 = - (0.75 × c × -12.1)
23.012 = 9.075c
c = 2.54J/kg°C
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lada 10 how does the planet's distance from its star compare to the distance the 51 pegasi planet is from its star?
The first extrasolar planet to orbit a sun-like star has been identified as 51 distance Pegasi b. 48 light-years from Earth, in the constellation Pegasus, the planet revolves around the fifth-magnitude star 51 Pegasi.
In 1995, Swiss astronomers Michel Mayor and Didier Queloz announced the discovery of a planet circling 51 Pegasi, a star with physical characteristics (such as luminosity and temperature) strikingly comparable to those of the Sun. (For their finding, Mayor and Queloz received the 2019 Nobel Prize in Physics.) Although 51 Pegasi b, an extrasolar planet, cannot be seen from Earth, its existence has been inferred from the wobble that its gravity causes in the parent star's motion over a 4.23-day period. Its mass is 46%
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1) if a quantity you calculated has units of a ∙ s, what is that quantity? a) capacitance b) charge c) potential d) resistance e) resistivity
if a quantity you calculated has units of a ∙ s, the quantity is a) capacitance.
Capacitance is the measure of a body's ability to store electric charge. The unit of capacitance is the Farad (F), which is defined as the amount of charge stored per volt of electric potential across a conductor.
Capacitance is directly proportional to the charge stored on a conductor and inversely proportional to the voltage applied to it. When a voltage is applied to a capacitor, it stores charge, and the capacitance of the capacitor determines the amount of charge that can be stored per unit of voltage.
This stored charge can then be used to perform work, such as powering an electronic circuit. In summary, capacitance is a measure of the ability of a material to store electric charge, and its units are Farads (F).
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A man of mass 60 kg runs up a flight of 30 steps in 40 seconds. If each step is 20 cm high, calculate the power of the man
Answer:
the answer is and would be 90w or 24w
john has 200 joules of gravitational potential energy when he is standing still on a diving board. john jumps off the diving board. what is his gravitational potential energy when he is halfway to the water? (answer 100j)
His gravitational potential energy when he is halfway to the water is 100 joules.
What is potential energy?Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.
The gravitational potential energy of an item, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field are examples of potential energy.
Initial potential energy of John is 200 joules.
Hence, his gravitational potential energy when he is halfway to the water is = (200/2) joules = 100 joules.
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when a (frictionless) cart is pushed down the track, and then pushed in the other direction, when is it accelerating?
The cart is accelerating when its velocity is changing, regardless of whether it is speeding up or slowing down.
A frictionless cart that is pushed down the track and then pushed in the other direction is accelerating when its velocity is changing. This means that the cart is either speeding up or slowing down.
Acceleration is the rate of change of velocity, so if the velocity of the cart is increasing, then the cart is accelerating in the direction of the force that is pushing it. Conversely, if the velocity of the cart is decreasing, then the cart is accelerating in the opposite direction of the force that is pushing it.
Therefore, if the cart is pushed down the track and its velocity is increasing, then it is accelerating. And if the cart is pushed in the other direction and its velocity is decreasing, then it is also accelerating.
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calculate the effective (rms) speeds of the he and ne atoms in the he-ne gas laser tube at room temperature (300 k)
The effective (rms) speeds of the he and ne atoms in the he-ne gas laser tube at room temperature (300 k) is 1368m/s and 609m/s respectively.
Given the room temperature (T) = 300K
The atomic mass of Helium (M1) = 4
The atomic mass of Neon (M2) = 20
The formula below calculates rms speed using the kinetic theory of gases:
Vrms = √3RT/M where R is the gas constant = 8.314JK−1mol−1.
The average velocity squared of the atoms in a gas is the square root of the root mean square velocity, which is the unit used to quantify the speed of atoms in a gas.
The effective speed of He atoms = V1
V1 = √3 x 8.31 x 300 / 4 x 10^-3 = 1368m/s
The effective speed of Ne atoms = V2
V2 = √3 X 8.31 x 300/20 x 10^-3 = 609m/s
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what are the two ways in which technical debt related to velocity
The two ways in which technical debt relates to velocity are slowing down velocity and accelerating velocity.
Technical debt has a significant impact on a team's velocity. On the one hand, having too much technical debt can slow down a team's progress as they take time to address the issue.
On the other hand, having an effective strategy for managing technical debt can help accelerate a team's velocity, allowing them to focus on more complex problems and get more done in less time. Therefore, managing technical debt is an important part of keeping a team's velocity in balance, both in the short and long term.
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? is the number of cycles per second of an ac sine wave.
"Frequency is the number of cycles per second of an ac sine wave."
The sinusoidal waveform, sometimes known as a sine wave, is the AC waveform that is most frequently employed in circuit theory. An EMF whose polarity alternates between positive and negative states on a regular basis is created by a voltage source with a periodic AC waveform; the length of time it takes for one complete reversal is referred to as the waveform's period.
The equation I = I sin t, where I is the current at time t and I is the maximum current, can be used to represent a sinusoidal alternating current. For a sinusoidal alternating voltage, we can express it similarly by writing v = V sin t, where v is the voltage at time t and V is the maximum value.
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this compound exhibits strong infrared absorption at 1675 cm-1, and a medium intensity band at 1620 cm-1.
The proton NMR spectrum for a compound exhibits strong infrared absorption.
Based on the information provided, the compound that exhibits strong infrared absorption at 1675 cm-1 and a medium intensity band at 1620 cm-1 is likely to be a molecule containing a carbonyl group. The strong band at 1675 cm-1 is characteristic of the carbonyl (C=O) stretching vibration, while the medium intensity band at 1620 cm-1 is consistent with a C=C stretching vibration in an aromatic ring.
Common examples of compounds with a carbonyl group include aldehydes, ketones, and carboxylic acids. It is difficult to determine the exact identity of the compound based solely on infrared absorption bands, as several different compounds can produce similar spectra. Additional analysis, such as mass spectrometry or nuclear magnetic resonance spectroscopy, may be needed to definitively identify the compound.
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The proton NMR spectrum for a compound with the formula [tex]C_{5}H_{8}O[/tex] is shown below along with the spectral data in tabular form.
this compound exhibits strong infrared absorption at 1675 cm-1, and a medium intensity band at 1620 cm-1.
(Step C4 : foil pieces not initially touching) (a) Based on your observation, draw the distribution of top and bottom charges for both pieces of aluminum foil when: (i) The charged PVC pipe is nearby (ii) The charged PVC pipe has been moved away (b) Explain the initial and final charge distributions drawn above.
In (a) (ii) PVC pipe, the final charge distribution is no longer existent. The aluminium foil's charges will be redistributed and combined until both pieces are neutral.
I The top and bottom charges of both pieces of aluminium foil will be distributed differently when the charged PVC pipe is nearby. Due to induction, the aluminium foil will become positively charged on the side that is closest to the charged PVC pipe and negatively charged on the side that is farthest away.
(ii) There will be no separation of positive and negative charges when the charged PVC pipe is removed, and the distribution of charges on both pieces of aluminium foil will return to neutral.
(b) The initial charge pattern seen in (a)
(i)results from the electrostatic induction phenomena, in which a charged item causes the charges on opposite sides of a conductor to separate, making one side of the conductor positively charged and the other negatively charged
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Which type of brain wave originates in the central and pariental regions of the brain and is associated with normal sleeping?A. ThetaB. DeltaC. BetaD. Alpha
The type of brain waves originating in the central and pariental regions of the brain and is associated with normal sleeping are delta waves. Correct option is B.
This is because delta waves are the slowest brain waves and they have they highest amplitude and these waves are responsible for normal sleep. They are referred to as slow wave sleep and originated in the cerebral cortex's central and parental regions of the brain.
They can occur in the third stage of sleeping. They are deeply penetrated like drum beat and occur during deepest meditation and dreamless dream.
Stage N3 is characterised by a predominance of the slow delta waves, which only happen during the deepest stage of sleep. The slowest brain waves, known as delta waves, range in frequency from 0.5 to 3 Hertz. Your brain is engaged in rest and regeneration when delta brain waves are most prevalent.
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1.1.3-4) Use the Energy-Interaction Model to explain whether the following statement is true or false: "A quantity of ice at 0°C must contain less total energy than the same quantity of water at 0°C. 1.1.3-5) According to the definition of heat in your textbook (pages 8 & 16), can an energy system contain a certain amount of heat? Explain.Previous question
The Energy-Interaction Model states that energy can be transferred between systems as heat or work, but the total energy of a closed system remains constant.
Therefore, the statement "A quantity of ice at 0°C must contain less total energy than the same quantity of water at 0°C" is false. Heat is a form of energy transfer between systems and is not a property of a system in isolation. A system can contain a certain amount of heat energy, but this energy is not necessarily the total energy of the system, as the total energy of a system also includes potential and kinetic energy. In the case of a system of ice and water at 0°C, the ice has a lower temperature and therefore contains less thermal energy (heat energy) compared to the water. However, this does not necessarily mean that the ice contains less total energy, as the ice also has potential energy due to its elevated height above the reference level, for example. Therefore, the total energy of the ice and the water at 0°C would be the same, according to the Energy-Interaction Model.
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Which of the following refers to the force of the earth pulling on an object? A Force B. Gravity C. Biomechanics Levers
Answer:
B. Gravity
Explanation:
Earth pulling on an object is known as gravity.
3. an archer puts a .30 kg arrow to the bowstring. an average force of 201 n is exerted to draw the string back 1.3 m. a. assuming no frictional loss, with what speed does the arrow leave the bow? b. if the arrow is shot straight up, how high does it rise?
(a) The arrow will leave the bow with a velocity 29.51 m/s. (b) The distance covered by the arrow is 44.44 m.
(a)
Let us assume that, the initial velocity of the arrow is v m/s.
It is given that,
The mass of the arrow, m = 0.3 kg.
The average force exerted on the string, F = 201 N.
The distance that the string pulled back, x = 1.3 m.
Let us consider the spring constant is k N/m.
It is known that, the force on the spring, F = kx.
[tex]\Rightarrow k=\frac{F}{x}[/tex]
[tex]\Rightarrow k=\frac{201}{1.3} N/m[/tex]
[tex]\Rightarrow k=154.62 N/m[/tex]
The kinetic energy of any system can be given by, 1/2 mv²
The kinetic energy of a spring system can be given by, [tex]\frac{1}{2}kx^2[/tex].
Therefore, [tex]\frac{1}{2}mv^2=\frac{1}{2}kx^2[/tex]
[tex]\Rightarrow mv^2=kx^2\\\Rightarrow v=\sqrt{\frac{kx^2}{m}}\\\Rightarrow v=\sqrt{\frac{(154.62)(1.3)^2}{0.3}} m/s\\\Rightarrow v=\sqrt{871.026} m/s[/tex]
⇒ v = 29.51 m/s
Hence, the arrow will leave the bow with a velocity 29.51 m/s.
(b)
It is known that,
The initial velocity of the arrow, u = 29.51 m/s.
The final velocity of the arrow, v = 0.
The acceleration due to gravity is g = -9.8 m/s² (Negative sign signifies it is acting opposite to the initial force).
Let us assume that the distance covered by the arrow is s m.
It is known that,
v² = u² + 2as
⇒ (0)² = (29.51)² + 2 (-9.8) s
⇒ 0 = 871.026 - 19.6s
⇒ 19.6s = 871.026
⇒ s = 871.026 / 19.6 m
⇒ s = 44.44 m
Hence, the distance covered by the arrow is 44.44 m.
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a 14-ohm resistor is to be installed in a series circuit carrying .05 ampere. how much power will the resistor be required to dissipate?
A 14-ohm resistor is to be installed in a series circuit carrying 0.05 ampere. The resistor will be required to dissipate approximately 0.0355 watts.
The power that the resistor is required to dissipate can be calculated as the product of the current flowing through the resistor and the voltage across the resistor. In this case, the current is 0.05 A and the voltage across the resistor is equal to the current multiplied by the resistance, so we have:
V = I x R = 0.05 A x 14 Ω = 0.7 V
And the power dissipated by the resistor is given by:
P = V x I = 0.7 V x 0.05 A = 0.0355 W
So the resistor will be required to dissipate approximately 0.0355 watts.
A resistor is an electrical component that restricts the flow of electric current. It is used in circuits to control the amount of current and voltage, and to generate heat, light or sound. Resistors can be made from different materials and have a wide range of values, typically measured in ohms (Ω). They play an important role in controlling the current flow in a circuit and preventing damage to other components. In a simple circuit, resistors are often used in combination with other components such as capacitors, inductors, and diodes to create complex electrical systems.
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increase the temperature to 400k by dragging the slider of the heater located on the bottom of the simulator. what changes have you noticed now?
Several changes will occur by increasing temperature to 400k by dragging slider in simulator like temperature increase, simulated material behavior, their appearance, and simulation processes will also alter.
As the temperature is increased to 400K by dragging the slider of the heater located on the bottom of the simulator, several changes may occur. Firstly, the temperature reading on the simulator will increase, reflecting the change in temperature.Secondly, the behavior of any simulated materials in the system may change. For example, if a gas or a liquid is being simulated, its pressure and volume may increase as the temperature rises. The particles of the simulated material will move faster and collide more frequently, leading to an increase in pressure.Thirdly, the appearance of the simulated materials may change. For example, if a solid is being simulated, it may begin to melt or deform as the temperature increases, changing its appearance. Similarly, if a liquid is being simulated, its viscosity may decrease, making it appear more fluid.Lastly, any simulated reactions or processes taking place in the system may be affected by the change in temperature. Reactions may become faster or slower as the temperature changes, and the rate of reaction can be directly proportional to the temperature.Learn more about simulator here:
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A projectile is projectile has a maximum horizontal range of 40 m. Calculate (g = 10 m s-1):
(i) Speed of projection of the projectile.
(ii) The maximum height reached by the projectile.
Speed of projection of the projectile is 20 m/s.
The maximum height reached by the projectile is 10 m.
What is projectile?When a particle is hurled obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's center . Such a particle's route is referred to as a projectile.
Acceleration due to gravity = 10 m/s²
maximum horizontal range = 40 m.
Hence, Speed of projection of the projectile = √(40×10) m/s = 20 m/s.
The maximum height reached by the projectile = 20²/(4×10) m = 10 m.
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by what distance do two objects carrying 1.0 c c of charge each have to be separated before the electric force exerted on each object is 3.5 n n ?
The distance between two charges, each of 1 C, should be 5.08 × 10⁴ m, before electric force exerted on each object is 3.5 N.
Charge on each object, q₁ = q₂ = 1 C
Permittivity constant for vacuum, ε₀ = 8.8 × 10⁻¹² Farad/meter
Electric force between them, F = 3.5 N
Let the distance between the charges, = d
Electric force between two charges is formulated as,
F = q₁q₂/(4πε₀d²)
3.5 = 1×1/(4 × 3.14 × 8.8 × 10⁻¹² × d²)
d² = 1/(3.87 × 10⁻¹⁰ m)
d = √(2.58 × 10⁻⁹)
d = 5.08 × 10⁴ m
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If a moon feels an attractive force 1191 N from a planet, how much force will the moon feel if the distance between the planet and the moon is doubled?
Answer:
Explanation:
i don’t know
a helicopter rotor slows down at a constant rate from 350 revs/min to 260 revs/min in 1.5 minutes. (a) find the angular acceleration (i.e. change in rev/min) during this time interval. what are the units of this acceleration?
The angular acceleration is - 60 revs/min² or - π /30 rad/s². The result is obtained by using the formula for acceleration.
What is angular acceleration?An angular acceleration or rotational acceleration is the rate of change in angular velocity per unit time. It can be expressed as
α = Δω/t
Where
α = angular accelerationΔω = change in angular velocityt = timeRevs/min is read revolutions per minute. It is equal to 2π/60 rad/s.
A helicopter rotor slows down at a constant rate.
ω₁ = 350 revs/minω₂ = 260 revs/mint = 1.5 minFind the angular acceleration and the units of this acceleration!
The angular acceleration is
α = Δω/t
α = (ω₂ - ω₁)/t
α = (260 - 350)/1.5
α = (-90)/1.5
α = - 60 revs/min²
The unit of the acceleration can be changed in rad/s².
α = - 60 revs/min²
α = - 60 × 2π rad × 1/360 /s²
α = - π /30 rad/s²
Hence, the angular acceleration is - 60 revs/min² or - π /30 rad/s².
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A boat moves a distance of 3.0 km east and then 7.0 km north. What is the boat's displacement?
Answer:
Explanation:
sketch figure we will see the right triangle3^2 + 7^2 = 58 => displacement sqrt(58) =7.61 (km)3. Two identical balls of mass 1.8 kg hit head on and rebounded from each other. One ball was traveling at 9.2 m/s and the other ball at 8.7 m/s in the opposite direction. After collision, the second ball rebounded at a speed of 9.1 m/s. What is the speed of the first ball?
Answer:
8.7 m/s.
Explanation:
The speed of the first ball after the collision can be found using the conservation of momentum. The principle of conservation of momentum states that the total momentum of a closed system remains constant if no external forces act upon it.
Initially, the momentum of the first ball is 1.8 kg * 9.2 m/s = 16.56 kgm/s, and the momentum of the second ball is 1.8 kg * -8.7 m/s = -15.66 kgm/s. The total initial momentum is 0.9 kg*m/s
After the collision, the momentum of the second ball is 1.8 kg * 9.1 m/s = 16.38 kg*m/s.
Since the total momentum must remain constant, the momentum of the first ball after the collision is equal to the total initial momentum minus the final momentum of the second ball.
0.9 kgm/s = 16.56 kgm/s + final momentum of the first ball
final momentum of the first ball = 16.56 kgm/s - 0.9 kgm/s = 15.66 kg*m/s
To find the speed of the first ball after the collision, we can divide its final momentum by its mass:
15.66 kg*m/s / 1.8 kg = 8.7 m/s
So the speed of the first ball after the collision is 8.7 m/s.
Although frequently referred to a galvanized rigid conduit (GRC), the NEC® identifie thi wiring method a rigid metal conduit (RMC). Where trade ize 11/2 RMC i threaded (crewed wrenchtight) together between boxe or encloure, the maximum ditance permitted between trap (upport) i ___ feet. The ditance between the boxe for thi traight run of conduit i almot 200 feet
The National Electric Code (NEC) identifies rigid metal conduit (RMC) as a wiring method, even though it is often referred to as galvanized rigid conduit (GRC).
If 11/2 RMC is threaded (screwed wrench-tight) together between boxes or enclosures, the maximum distance allowed between supports is 130 feet. This straight run of the conduit is almost 200 feet, so it would require additional support to ensure proper electrical performance and safety.
When determining the proper support spacing for a straight run of conduit, it is important to consider factors such as the weight of the conduit, the conductors inside, and the number of bends in the conduit. Too few supports can create sagging and tension, which can damage the insulation of the conductors and potentially cause a short circuit.
Too many supports can be costly and difficult to install. Therefore, it is important to understand the proper support spacing requirements and follow the NEC guidelines.
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a dog, weighing 10 lb., is standing on a flatboat so that he is 20 ft. from the shore. he walks 8.0 ft. on the boat toward shore and then halts. the boat weights 40 lb., and one can assume there is no friction between it and the water. how far is the dog from the shore at the end of this time?
The dog is 27 feet from the shore at the end of this time.
We can use the principle of moments to solve for the new position of the dog. The principle of moments states that the sum of the clockwise moments around a pivot point must equal the sum of the counterclockwise moments around the same point. In this case, the pivot point is the original position of the dog, 20 feet from the shore.
First, we calculate the moment created by the dog before he moves:
( moment = weight of dog * distance from pivot point)
moment = 10 lb. * 20 ft. = 200 ft.lb.
Next, we calculate the moment created by the dog after he moves:
moment = weight of dog * new distance from pivot point
moment = 10 lb. * (20 ft. - 8.0 ft.) = 120 ft.lb.
Finally, we calculate the moment created by the boat:
moment = weight of boat * distance from pivot point
moment = 40 lb. * 20 ft. = 800 ft.lb.
Since the sum of the moments must remain constant, we can equate the moments before and after the dog moves:
200 ft.lb. + 800 ft.lb. = 120 ft.lb. + weight of boat * new distance from shore
Solving for the new distance from shore:
new distance from shore = (200 ft.lb. + 800 ft.lb. - 120 ft.lb.) / weight of boat
new distance from shore = (1080 ft.lb.) / 40 lb.
new distance from shore = 27 ft.
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nuclear power is an important source of energy around the world. some countries, such as france and ukraine, generate more than 50 50 percent of their electricity from nuclear power plants. however, generating electricity from nuclear power plants can lead to environmental problems. (a) describe one potential negative environmental consequence from using nuclear power.
One potential negative environmental consequence from using nuclear power is the risk of radioactive contamination from an accident or improper disposal of nuclear waste.
One potential negative environmental consequenceRadioactive materials released into the environment can cause long-term health problems such as cancer and birth defects.In addition, nuclear waste can take thousands of years to decay, leading to long-term storage and disposal issues.One potential negative environmental consequence from using nuclear power is the risk of nuclear radiation. Nuclear radiation is caused by the release of radioactive particles emitted during a nuclear reaction, such as those that occur in a nuclear power plant. These particles can be spread through the air, water and land. This radiation can be harmful to humans, animals, plants and the environment as a whole.In addition to causing direct health risks to those exposed to it, nuclear radiation can also cause long-term contamination of the environment. This can include contamination of soil, water, and air by radioactive particles, as well as contamination of the food chain by bioaccumulation. As a result, this can lead to increased risk of cancer and other diseases, as well as reduced fertility in humans and animals. In some cases, these effects can last for generations.To learn more about One potential negative environmental consequence refer to:
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A 650 KW power engine of a vehicle of
mass 1.5 * 105 Kg is rising on an inclined plane of inclination
1 in 100 with a constant speed of 60 km/hr. Find the frictional
force between the wheels of the vehicle and the plane.
the frictional force between the wheels of the vehicle and the plane is 24000 N.
Power of engine (P) = 650 KW = 6,50,000 W
Mass of vehicle (m) = [tex]1.5[/tex] × [tex]10^{5}[/tex]
SinФ Inclination = 1/100
Speed (V) = 60 km/hr = 60 x 5 / 18 = 50 / 3 m/s
To find the frictional force between the wheels of the vehicle and the plane
F = f + mg SinФ
As, P = F V
P/V = f + 1.5 x [tex]10^{5}[/tex] x 10 x 1/100
6,50,000 x 3 / 50 = f + 15000
39,000 – 15,000 = f
Or f = 24,000 N
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An automobile accelerates 2 m/s2 over 6.00 s to reach freeway speed at the end of an entrance ramp. If the car’s final speed is 30.0 m/s, what was its initial speed when it began accelerating?
The initial velocity of the automobile so, that it can reach 30 m/s in the time period of 6 seconds is 18 meters per second.
What is Acceleration?Acceleration is the rate at which the change in velocity occurs in an object. The acceleration is a vector quantity because of presence of both the magnitude and direction.
Acceleration = rate of change of velocity of an object
a = (v-u)/t
a = 2m/s²
v = 30m/s
t = 6 seconds
u = ?
at = v - u
u = v - at
u = 30 - 2 × 6
u = 30 - 12
u = 18m/s
Therefore, the initial velocity of the object will be 18 m/s.
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