Given parameters:
Mass of the car = 1000kg
Unknown:
Height = ?
To find the heights for the different amount potential energy given, we need to understand what potential energy is.
Potential energy is the energy at rest due to the position of a body.
It is mathematically expressed as:
P.E = mgh
m is the mass
g is the acceleration due to gravity = 9.8m/s²
h is the height of the car
Now the unknown is h, height and we make it the subject of the expression to make for easy calculation.
h = \(\frac{P.E }{mg}\)
For 2.0 x 10³ J;
h = \(\frac{2000}{1000 x 9.8}\) = 0.204m
For 2.0 x 10⁵ J;
h = \(\frac{200000}{9.8 x 1000}\) = 20.4m
For 1.0kJ = 1 x 10³J;
h = \(\frac{1000}{9.8 x 1000}\) = 0.102m
The height of 1000 kg of a car that give a potential energy of 2.0 x 10³ J , 2.0 x 10⁵ J and 1.0 kJ are 0.204 m , 20.408 m and 0.102 m respectively.
The potential energy of a body is the energy attained at a position. Therefore,
potential energy = mgh
where
m = mass
h = height
g = 9.8m/s (acceleration due to gravity)
a.
h = P.E / mg
h = 2.0 × 10³ / 1000 × 9.8
h = 2000/9800 = 0.20408163265
h = 0.204 m
b.
h = 2.0 × 10⁵ / 1000 × 9.8
h = 20.4081632653
h = 20.408 m
c.
1.0 kj = 1000 j
h = 1000 / 1000 × 9.8
h = 0.10204081632
h = 0.102 m
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one gram of water becomes 1671cm³ of steam when boiled at a pressure of one atmospheric. if the specific latent heat of vaporization on the water is 2.26 j/kg Calculate (a) the external work done (b) the increase in external energy.
Given
m = 1g
Lvap = 2260 j/g
p = 1.01 x 10^5 Pa = 1 Atm
T = 100 C = 373 K
Vsteam = 1671 cm3
Vwater = 1 cm3
ΔV = (Vsteam - Vwater) = 1671 - 1 = 1670 cm3
Procedure
a) External work done by the system
Q = mL
\(\begin{gathered} Q=1g\cdot2260\frac{J}{g} \\ Q=2260J \end{gathered}\)W = pΔV
\(\begin{gathered} W=1.01\times10^5\cdot1670\times10^{-6} \\ W=169\text{ J} \end{gathered}\)External word done by the system is 169 J
b) increase in internal energy
ΔU = Q - W
\(\begin{gathered} \Delta U=2260J-169J \\ \Delta U=2091J \end{gathered}\)Increase in the internal energy is 2091 J
A race car makes one lap around a track of radius 180 m in 90.0 s. What is the centripetal acceleration in m/s2?
a
0.5
12.6
Ob
OC
Od
.87
2.
2
Answer:
0.9m/s^2 (yours is 0.87, so choose that)
Explanation:
formula for centripetal acceleration:
v^2/r
to find v, we know that f=1/90s, and r=180m.
v=(2pir)/T
v=(2pi(180))/90
v=12.6m/s
now plug into a=v^2/r
a=(12.6)^2/180
a=0.9m/s^2
At a hydroelectric power plant, water is directed at high speed against turbine blades on an axle that turns an electric generator. For maximum power generation, should the turbine be designed so that the water is brought to a dead stop, or so that the water rebounds? If only an external force can change the momentum of the center of mass of an object, how can the internal force of the engine accelerate a car?
For maximum power generation, it is ideal if the water rebounds off of the turbine blades. If the water bounces back, it has undergone a greater shift in momentum than if it had simply stopped. Additionally, the blades will spin quicker if there is a greater momentum change for the water than there is for the blades.
The momentum of a body's center of mass can only be changed by the application of an external force, according to the laws of motion. However, due to the force of friction created by the car's tires in contact with the ground, it can be accelerated by applying an internal engine force.
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just want to double-check that you understand a practical consequence of the expansion of the universe. Light reaches us from a very distant galaxy. The time the light took to cross this distance and reach us is 10 billion years. The distance this light has crossed in this time is probably
Answer:
The distance of the light is 9.4608 x 10^25 m
Explanation:
Time taken by the light = 10 billion years = 10 x 10^9 years
speed of light = 3 x 10^8 m/s
speed of light in m/years is = (3 x 10^8)/(60 x 60 x 24 x 365) = 9.4608 x 10^15 m/year
distance = speed x time
therefore, the distance of this light = 10 x 10^9 x 9.461 x 10^15 = 9.4608 x 10^25 m
Answer:
more than 10 billion light years due to expansion of space
Explanation:
"Please include all relevant working out as detailed as possible
and all relevant diagram to find the answer. Much appreciated! I
will upvote! Thank you so much"
Find total response of the system (transient+steady state). Do not solve for coefficients. Determine the frequency of applied force at which resonance will occur? M = 20 kg F, = 90 N Given: -6 rad/s M
Given the following information:Mass of the system, m = 20 kg.Damping coefficient, b = 6 Ns/m.Force, F = 90 N.Frequency of applied force, f = ?Applied force angular frequency, w = 6 rad/s.Forced vibration equation:F(t) = F0 sin(wt)where F0 = 90 N and w = 6 rad/s.Under the action of the force F, the mass m will oscillate.The equation of motion for the mass-spring-damper system is given by:$$\mathrm{m\frac{d^{2}x}{dt^{2}}} + \mathrm{b\frac{dx}{dt}} + \mathrm{kx = F_{0}sin(\omega t)}$$where k is the spring constant.x(0) = 0 and x'(0) = 0.As we have the damping coefficient (b), we can calculate the damping ratio (ζ) and natural frequency (ωn) of the system.Damping ratio:$$\mathrm{\zeta = \frac{b}{2\sqrt{km}}}$$where k is the spring constant and m is the mass of the system.Natural frequency:$$\mathrm{\omega_{n} = \sqrt{\frac{k}{m}}}$$where k is the spring constant and m is the mass of the system.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$At resonance, the amplitude of the system will be maximum when forced by a sinusoidal force of frequency equal to the resonant frequency.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$$$\mathrm{\omega_{d} = \sqrt{(6.57)^{2}-(-2.88)^{2}} = 6.98 rad/s}$$Hence, the frequency of applied force at which resonance will occur is 6.98 rad/s.
The frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.
To determine the frequency of the applied force at which resonance will occur, resonance happens when the frequency of the applied force matches the natural frequency of the system. The natural frequency can be determined using the formula:
ωn = √(K / M),
where ωn is the natural frequency, K is the spring constant, and M is the mass of the system.
Substituting the given values of K = 400 N/m and M = 20 kg into the equation, we can calculate the natural frequency ωn.
ωn = √(400 N/m / 20 kg) = √(20 rad/s²) = 2√5 rad/s.
Therefore, the frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.
The correct question is given as,
M= 20kg
Fo = 90 N
ω = 6 rad/s
K = 400 N/m
C = 125 Ns/m
Determine the frequency of applied force at which resonance will occur?
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what is the acceleration of a boat if the resultant force on it is 4000 N and its mass is 1240 kg
Answer:
The acceleration of a boat if the resultant force on it is 4000 N and its mass is 1240 kg is 3.2 m/s².
Explanation:
Given
Force F = 4000 NMass m = 1240 kgTo determine
Acceleration a = ?
Important Tip:
The acceleration of a boat can be found using the formula F = maUsing the formula
\(F = ma\)
where
F is the force (N)m is the mass (kg)a is the acceleration (m/s²)now substituting F = 4000, m = 1240 in the formula
\(F = ma\)
\(4000\:=\:1240\:\times a\)
Switch sides
\(1240a=4000\)
Divide both sides by 1240
\(\frac{1240a}{1240}=\frac{4000}{1240}\)
Simplify
\(a=\frac{100}{31}\)
\(a=3.2\) m/s²
Therefore, the acceleration of a boat if the resultant force on it is 4000 N and its mass is 1240 kg is 3.2 m/s².
The back of a loaded pickup truck is open.
A car rear-ends the pickup truck, causing its load to spill. Explain the event in terms of Newton's laws.
The load of the pickup truck spills due to an unbalanced force acting on it caused by the collision from the car.
Newton's first law states that an object at rest will remain at rest unless acted upon by an unbalanced force. In this scenario, the load of the pickup truck is at rest in the back of the truck, but when the car rear-ends the pickup truck, it applies an unbalanced force on the load, causing it to spill out of the truck.
Newton's second law states that the force applied on an object is equal to the mass of the object multiplied by its acceleration. In this scenario, the car applies a force on the load of the pickup truck, which is equal to the mass of the load multiplied by the acceleration of the car at the time of the collision. The force causes the load to spill out of the truck.
Newton's third law states that for every action, there is an equal and opposite reaction. In this scenario, when the car rear-ends the pickup truck, the car experiences an equal and opposite force, which is the reaction to the force it applies to the load of the pickup truck.
In summary, the load of the pickup truck spills due to an unbalanced force acting on it caused by the collision from the car. The force applied on the load of the pickup truck is equal to the mass of the load multiplied by the acceleration of the car at the time of the collision. And the car experiences an equal and opposite force, which is the reaction to the force it applies to the load of the pickup truck.
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Question 2
A wave with a frequency of 10 Hz and a wavelength of 4 m would have what speed?
m/s
Answer:
speed = 40 m/s
Explanation:
speed = frequency x wavelength
speed = 10 Hz x 4 m
speed = 40 m/s
how do babies inherit eyes using the vocabulary trait,gene,chromosome,dominant allele, recessive allele, genotype, phenotype, homozygous, heterozygous
Answer: Babies inherit their eye color through the combination of genes they receive from their parents. Genes, which are located on chromosomes, determine a specific trait, such as eye color. Each gene has two alleles, one from each parent, and the dominant allele will determine the phenotype, or the observable physical characteristics, of the trait. If a baby inherits a dominant allele for brown eyes and a recessive allele for blue eyes, the brown allele will be expressed, resulting in brown eyes. The combination of alleles a baby inherits is called their genotype. If a baby inherits two identical alleles for a trait, they are said to be homozygous for that trait, while if they inherit two different alleles, they are heterozygous. The dominant allele is expressed over the recessive allele in heterozygous individuals, resulting in a phenotype that reflects the dominant allele.
Explanation:
What is the mechanical advantage of a pulley? 0.5 1.0 1.5 2.0
The mechanical advantage of a pulley is the ratio of the output force to the input force.
For example, if a pulley is used to lift a weight of 100 pounds, and the input force is 10 pounds, then the mechanical advantage is 10:1 (100/10).
This means that for every 10 pounds of input force, the pulley can lift 100 pounds of weight. The mechanical advantage of a pulley is determined by the number of strands of rope that are used in the pulley system. The more strands of rope, the higher the mechanical advantage will be.
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A proton and an electron are placed in an electric field. Which undergoes the lesser acceleration?.
Proton will undergoes the lesser acceleration
What happens when Electron and proton are kept in Electric field ?Due to the opposite polarity of an electron and a proton, when they are in an electric field, they are attracted to one another by an electrical force of equal strength. However, because of their opposing charges, the force's direction will be the opposite.
An electron will accelerate more quickly than a proton because of the difference in mass between the two particles.
Thus, the electric forces acting on them will be equal in strength but directed in the opposite direction. Since the mass of the proton is 1836 times greater than the mass of the electron, its acceleration will be [1/1836] times greater.
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Select the correct answer. If the resistance remains constant and the voltage doubles, what effect will that have on the power? A. The power will remain the same. B. The power will decrease by a factor of 2. C. The power will decrease by a factor of 4. D. The power will increase by a factor of 2. E. The power will increase by a factor of 4.
If the resistance remains constant and the voltage doubles, the power will increase by a factor of 4 (option E)
How do i determine the new power?The following data were obtained from the question:
Initial power (P₁) = PInitial voltage (V₁) = VResistance = ConstantNew voltage (V₂) = 2VNew power (P₂) =?P = V² / R
Resistance is constant, we have
V₁² / P₁ = V₂² / P₂
V² / P = (2V)² / P₂
V² / P = 4V² / P₂
Cross multiply
V² × P₂ = P × 4V²
Divide both side by V²
P₂ = P × 4V² / V²
P₂ = P × 4
From the above, we can conclude that the power will increase by a factor of 4 (option E)
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What was the earth like 1000000 years ago ?
PLEASE HELP
You are attending a Pumpkin chuckin' event where they launch pumpkins by air cannon into a field. Calculate the acceleration of a 2kg pumpkin if launched by a force of 1930 N. Show your work and include units.
Answer:
Explanation:
According to newtons second law, Force = mass* acceleration.
Given
Force = 1930 N
Mass of pumpkin = 2 kg
Required
Acceleration of the pumpkin
From the formula;
acceleration = Force/mass
acceleration = 1930/2
acceleration = 965m/s²
Hence the acceleration of a 2kg pumpkin if launched by a force of 1930 N is 965m/s²
sunspots appear dark becausequestion 35 options:they are storm systems like those on the jovian planets.they have lower densities.they have lower temperatures.they have lower rotation rates.
Sunspots appear dark because they have lower temperatures compared to the surrounding areas on the Sun's surface. This cooler temperature is caused by intense magnetic activity that inhibits.
The flow of heat from the Sun's interior to the surface. As a result, the temperature within sunspots can be thousands of degrees cooler than the rest of the Sun's surface, which makes them appear darker. Sunspots are also associated with strong magnetic fields that can cause solar flares and other forms of space weather that can affect Earth. Scientists study sunspots to better understand the behavior of the Sun and how it impacts our planet. The study of sunspots is important for space weather prediction and for understanding the Sun's influence on our climate and atmosphere.
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Which of the following is a way that trees have been negatively impacted by human use? a. Deforestation b. Pollution c. Reduction d. All of the above Please select the best answer from the choices provided A B C D.
Answer:
D
Explanation:
Trees are obviously effected from deforestation.
Pollution effects the things trees need to grow (water, air).
Reduction removes parts of the tree, some parts being needed.
Answer: D
Explanation:Trees are obviously effected from deforestation.
Pollution effects the things trees need to grow (water, air).
Reduction removes parts of the tree, some parts being needed.
Scenario 2: A dam was built California in 1999 to block the Santa Ana River and help generate
hydroelectric power
1. What effects might this have on the environment?
Answer:
Some of the effects of a dam on the environment includes;
1) Increase in the amount of the greenhouse gases
2) Removal of the natural wetland and ocean carbon sinks
3) Disruption of the sources of nutrients in the ecosystem
4) Destruction of habitats
5) Raising of the sea levels and waste waters
6) Displace villages and communities
7) Dams have a potential to create flood risk
8) Dams lead to increased water loss due to evaporation and transpiration
9) Dams causes earthquakes
Explanation:
Dams are a source of renewable energy and are a means to prevent floods, however, dams can also have detrimental impact on the climate and the environment.
An electromagnetic wave Group of answer choices a.Never moves b.Can travel through empty space or matter. c. Can travel only through empty space. d. Cannot travel through matter
Answer:
b
Explanation:
because electromagnetic waves can travel in vacuum as they don't require particles to transfer energy from one point to another. they can also travel through mediums such as the wall or air, if not how do radio waves transfer energy in this hyper advanced world? through the air
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how do the energies of a flowing fluid and a fluid at rest compare? name the specific forms of energy associated with each case. (3 points)
The other response gave a description of the kinetic energy from flowing liquids. However, the energy or liquid at rest is not empty. the same concept as the potential energy underlying solids. Both can be converted into kinetic energy.
What precisely is kinetic energy?An object's kinetic energy is the power it has as a result of motion. It is described as the effort required to move a mass-based body from rest to the indicated velocity. The body holds onto the kinetic energy it acquired during its acceleration, unless its speed changes.
Who made the discovery of kinetic energy?The idea of kinetic energy was first proposed in 1849 by William Thompson, later known as Lord Kelvin. We now relate the idea of an object's kinetic energy with the quantity of one half of its mass multiplied by its velocity squared.
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If vector P was fixed but the direction of Vector Q could be changed, for which value of tetha will the resultant force have a maximum value ?
The value of tetha (θ) in which the resultant force will have a maximum value is 180 degrees.
What is maximum value of the resultant vector?
The maximum value of the resultant vector is calculated by applying Parallelogram law of vector addition as shown below;
R² = a² + b² - 2ab( cosθ )
where;
a is the magnitude of the first optionb is the magnitude of the second optionθ is the angle of inclination of the vectorwhen θ is 0, the vector will have a minimum value, when θ = 180, the vector will have a maximum value as shown below.
R² = a² + b² - 2ab( cosθ )
R² = ( 250² ) + ( 150² ) - 2(250 x 150 ) x cos (180)
R² = 160,000
R = √ (160,000)
R = 400 N
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The position-time function for a cyclist is r(t)=3t2-2t+9. What is the displacement of the cyclist
from t=10 to t=20 seconds?
A) 889 m
B) 999 m
according to beatty, what precipitated the banning of books
If you are referring to the book "Fahrenheit 451" by Ray Bradbury, then the author describes a dystopian society in which books are banned and burned by the government. In the book, the reasons for the ban are not explicitly stated, but it is suggested that the government banned books to control and manipulate the thoughts and actions of the population.
However, if you are referring to a different book by an author named Beatty, please provide more context so I can provide an accurate answer.
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- A periodic composite signal with a bandwidth of 2000 Hz is composed of two sine waves. The first one has a frequency of 100 Hz with a maximum amplitude of 20 V; the second one has a maximum amplitude of 5 V. Draw the bandwidth. - A TV channel has a bandwidth of 6MHz. If we send a digital signal using one channel, what are the data rates if we use one harmonic, three harmonics, and five harmonics?
The bandwidth of the periodic composite signal is drawn as a range between 100 Hz and 2100 Hz , The data rates for sending a digital signal using one harmonic, three harmonics, and five harmonics on a TV channel with a 6 MHz bandwidth would be 6 MHz, 18 MHz, and 30 MHz .
For the first question
Draw the bandwidth of a periodic composite signal, we need to consider the highest frequency component present in the signal.
We have two sine waves one with a frequency of 100 Hz and the other unspecified. Since the bandwidth is given as 2000 Hz, we can assume that the second sine wave has a frequency of 2100 Hz (2000 Hz above the first sine wave frequency).
Draw the bandwidth, we can create a graph with frequency on the x-axis and amplitude on the y-axis.
We plot the amplitude values for the two sine waves at their respective frequencies (100 Hz and 2100 Hz). The bandwidth will be the range between these two frequencies on the x-axis.
For the second question
The data rate for a digital signal transmitted using one harmonic, three harmonics, and five harmonics can be calculated by multiplying the channel bandwidth by the number of harmonics used. Since the bandwidth is given as 6 MHz, the data rates would be as follows:
One harmonic: 6 MHz
Three harmonics: 18 MHz
Five harmonics: 30 MHz
The data rate increases with the number of harmonics used because each harmonic contributes additional information to the signal, allowing for a higher data transmission rate.
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A tennis player can accelerate a tennis ball at 295m/s² using an average force of
58 N with his racquet. What is the mass of the tennis ball?
answer of the question is into the picture ️
A spaceship is moving at 1/3 the speed of light (1.0x10^8 m/s) for one year (365 days) relative to earth. How many earth days is this ?
Answer:
256
Explanation:
You want to see how often your blog is read, so you record each time
someone clicks the link. Which graph would show how many times your
blog's link is clicked every hour?
This suggests the percentage of those who come lower back on your blog each and every week after their first visit.
As an example, if this week you had one hundred human beings go to your blog and inside the week one column, it suggests seventeen percent. which means of the initial a hundred human beings, seventeen got here returned. underneath week two in case you see eight percent, that means of the preliminary a hundred human beings, eight humans came lower back in two weeks.
This quantity will keep getting smaller, but the goal is to get humans back as often as viable. That increases belief, social shares, and the capability of people to link to you, and it even will increase the odds that the vacationer will convert right into a customer. The Pageviews column tells you ways generally each individual blog published was regarded in the decided on time-frame. The specific Pageviews column simply to the right of it tells you ways a lot of those pageviews were from precise visitors
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What is the best way to arrange the magnets on the train and on the track so that the model train levitates?
Answer:
See below
Explanation:
So the magnets poles are opposed and the magnets REPEL each other
A car is going 43m/s and travels 14 m, how
long did it take?
Answer:
Time = 0.3256 sec
Explanation:
Velocity = displacement / time
43=14/t
So the time =14/43
t=0.3256 sec
Which nucleus completes the following equation?
Answer:
I think B but I could be wrong
Explanation:
19 dm expressed in millimeters