Goods and services are generally considered to be the positive output of economic systems, as they can help to increase the overall standard of living. Natural capital is the inputs used to create these outputs, such as resources, land, or labor. When natural capital is depleted or renewable resources are degraded, this is generally not seen as a positive output. Pollution and waste are also not seen as positive outputs, as they have a detrimental effect on the environment.
Overall, economic systems use natural capital as an input to create goods and services as the positive output. This output helps to improve the standard of living and is a much more desirable outcome than the negative outputs such as depletion of nonrenewable resources, pollution, and waste.
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a 200 ohm resistor is connected to a 12 v car battery. if the resistor is then removed and connected to a battery with 6 v or potential difference, what happens to the current passing through the resistor?
When a resistor is connected to a battery with a lower voltage, the amount of current flowing through it would decrease.
What does a potential difference of 6 volts mean?R is the resistance applied through the 6 volt cell. We obtain by replacing values. As a result, the potential difference across the 6V cell is 8.4 V. The voltage is the difference in potential between two sites in an electric field. In an electric field, the current is the movement of charges between two sites.
According to Ohm's Law
I = V/R
The current flowing through a 200 ohm resistor attached to a 12 V automotive battery is:
I = V/R
= 12 V / 200 ohms
= 0.06 A
Applying Ohm's Law once more, the new current would be:
I = V/R
= 6 V / 200 ohms
= 0.03 A
Therefore, When a resistor is connected to a battery with a lower voltage, the amount of current flowing through it would decrease.
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in which position will three-fourths of the illuminated side of the moon be visible from earth? a b c d
Answer: The position from which three-fourths of the illuminated side of the moon will be visible from Earth is an option (B) - Gibbous.
Explanation: The Moon appears gibbous when more than half but not all of its illuminated side is visible from Earth.
The Moon is a celestial body that orbits Earth as Earth's only permanent natural satellite. The Moon is one of the brightest and largest objects in the night sky, with a diameter of 3,475 km.
The Moon appears to change shape as it orbits Earth, going through several phases throughout the lunar month. The illuminated side of the moon is the portion of the moon that is lit up by the sun.
The Moon is not actually glowing, but rather it reflects sunlight. We cannot see the Moon when it is not illuminated.
The Moon's phases depend on its position relative to the Sun and Earth, causing the illuminated side of the Moon to face Earth from different angles.
Thus, the position from which three-fourths of the illuminated side of the moon will be visible from Earth is an option (B) - Gibbous.
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what did oersted discover about electricity and magnetism
Hans Christian Oersted established the connection between electricity and magnetism in 1820. The magnetic field produced by the current revolves around the wire in a circle.
Oersted demonstrated how a magnetic field may be produced by moving electrons by establishing a compass through a wire carrying an electric current.
Scientists believed that electricity and magnetism had no connection until the discovery of electromagnetism. Hans Christian Oersted, a scientist from Denmark, revolutionised all of that. He found that an electric current in a wire may cause a magnetic field, as evidenced by the fact that the current can cause a magnetised compass needle to deflect.
The electrons in the wire are pushed when a coil of wire is moved around a magnet or vice versa, producing an electrical current. In essence, kinetic energy—the energy of motion—is transformed into electrical energy via electricity generators.
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while completing the experiment, where should you measure to on the pendulum bob?
While completing the pedulum experiment, you should measure the length of the pendulum to the middle of the pendulum bob to caculate the required values.
What part of a pendulum do you measure?A ruler, meter stick, or measuring tape are necessary in order to determine the length of a pendulum. Start the measurement at the point where the string pivots from its attachment at the string's upper end. As you reach the item dangling from the string, the pendulum bob, measure all the way down to its center.
The smallest time intervals are measured using a pendulum clock. A little stone or metallic ball suspended from a stiff stand by a thread is the basic component of a pendulum. Bob is the name of the metallic ball.
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I need the question of this page filled with steps...... I'm confused
i) The velocity of the particle at 17 sec is 17m/s.
ii) The total distance travelled is 190 m.
iii) The total displacement is -10m.
What is the difference between distance and displacement?Distance is the length of any path connecting any two places. As measured along the shortest path between any two points, displacement is the direct distance between them.
The direction is ignored when calculating distance. The direction is accounted for in the displacement calculation.
Since it solely depends on magnitude and not direction, distance is a scalar number. Since displacement varies on both magnitude and direction, it is a vector quantity.
Distance provides specific directions that must be taken when moving from one location to another. Displacement only provides a partial description of the route because it pertains to the quickest way.
Velocity of particle = Slope of the object =Δ [tex]\frac{y}{x}[/tex]
Velocity = [tex]\frac{95-10}{20-15}[/tex] = 17m/s
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The diagram shows a homemade car being pushed with a force of 25 N.
Answer:
The speed of the car will increase.
Explanation:
From idea of momentum, force is directly proportional to velocity
[tex]{ \bf{f \: \alpha \: v}} \\ { \rm{f = kv}}[/tex]
Initially, f = 25N and v = 3 m/s
[tex]{ \rm{25 = k \times 3}} \\ \\ { \rm{k = \frac{25}{3} }}[/tex]
Lastly, f = 35
[tex]{ \rm{f = \frac{25}{3}v }} \\ \\ { \rm{35 = \frac{25}{3} \times v}} \\ \\ { \rm{v = \frac{3 \times 35}{25} }} \\ \\ { \rm{v = 4.2} }[/tex]
1) The formation of freezing rain involves:
A) snow passing through a fairly thick layer of above freezing air before passing through a thin layer of subfreezing temperatures near the surface.
B) air temperatures decreasing uniformly with height, producing the cold conditions necessary for freezing rain formation.
C) air temperatures increasing uniformly with height, producing the cold conditions necessary for freezing rain formation.
D) snow passing through a fairly thin layer of above freezing air before passing through a thick layer of subfreezing
temperatures near the surface.
A scientist is studying an organism that is similar to early life on Earth. The scientist observes structures form in the organism that appear as oily spheres with an inner fluid. Of which type of macromolecule is the sphere made? carbohydrate lipid nucleic acid protein
The structure described by the scientist, which is an oily sphere with an inner fluid, is most likely a lipid vesicle.
Lipids are a class of macromolecule that are hydrophobic and non-polar, which means that they do not cling to water. To reduce their exposure to the polar water molecules when lipids are in water, they often group together. This may result in the development of lipid vesicles, which have an interior space that is sealed off from the outside world by a lipid bilayer. Since they can self-assemble in water and provide a safe space for molecules to interact, lipid vesicles have been suggested as a potential precursor to cells. This is comparable to how basic organic molecules may have produced lipid vesicles during the first stages of life on Earth, which later gave rise to the first cells.
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Can someone please help me with this I am quite stuck thanks
Answer:
The mass remains the same since stoichiometrically one mole reacts and one mole is formed
Explanation:
Calcium chloride is reacting with Sodium sulphate to form a white precipitate of calcium sulphate.
[tex]{ \sf{CaCl _{2} + Na_{2} SO_{4} → CaSO _{4} + 2NaCl}}[/tex]
From the equation, 1 mole of calcium chloride forms 1 mole of calcium sulphate.
R.F.M of CaCl2 = 40 + (35.5×2) = 111
R.F.M of CaSO4 = 40 + 32 + (16×4) = 136
R.F.M of Na2SO4 = (23×2) + 32 + (16×4) = 142
R.F.M of 2NaCl = 2[23 + 35.5] = 117
[tex]{ \sf{(r.f.m \: of \: rectants) = (r.f.m \: of \: products)}} \\{ \sf{ (mass \: of \: rectants) = (mass \: of \: products)}} \\ \\ { \sf{(111 + 142) = (136 + 117)}} \\ { \sf{300.23 = x}} \\ \\ { \sf{x = \frac{300.32}{(111 + 142)} \times (136 + 117) }} \\ \\ { \sf{x = \frac{300.32}{253} \times 253 }} \\ \\ { \sf{x = 300.32}}[/tex]
Answer:
The mass remains the same
Explanation:
Help needed
You are given two waves, a transverse wave that moves to the right f1(x) and a transverse wave that moves to the left f2(x), on a string. As the problem begins, the wave f1(x) is moving to the right at v1 = +1 m/s and the wave f2(x) is moving to the left at v2 = −1 m/s.
wave interferance
At every location along the string, the amplitudes of two waves that interfere with one another are added. The two separate waves combine to form the final wave.
Two transverse waves are present in this instance, one traveling to the right and the other to the left. The waves will interact destructively when they meet since their motions are in opposition.
Transverse wavesThe resultant wave f(x) at any point x on the string may be calculated by summing the two amplitudes if we let f1(x) represent the amplitude of the wave going to the right and f2(x) represent the amplitude of the wave moving to the left:
f(x) = f1(x) + f2(x)
The amplitudes of the two waves will be equal in size and facing in opposite directions when they collide. As a result, the amplitude that results will be zero, and the string will then be at rest.
The resulting wave will alternate between constructive and destructive interference as the waves continue to travel past one another.
As a result, the string will develop a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).
The combined frequency and wavelength of the various waves as well as the rate of wave propagation along the string will determine the final wave's frequency and wavelength.
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A particle moves along a straight line with velocity given by v\left( t \right) = 5 + {5^{\frac{t}{3}}} for t \geqslant 0. What is the acceleration of the particle at time t=4?
(A) 0.422
(B) 0.698
(C) 1.265
(D) 8.794
(E) 28.381
a(t) = v'(t) = \frac{d}{dt} [5 + 5^{\frac{t}{3}}] = 0 + \frac{5}{3} \cdot 5^{\frac{t}{3}-1}
We are asked to find the acceleration of the particle at time t=4, so we substitute t=4 into the acceleration function:
a(4) = \frac{5}{3} \cdot 5^{\frac{4}{3}-1} = \frac{5}{3} \cdot 5^{\frac{1}{3}} \approx 1.265
Therefore, the answer is (C) 1.265.
A block slides down a frictionless plane having an inclination of θ=15.00. The block starts from rest at the top, and the length of the incline is 2.00m. (a) Draw a free-body diagram of the block. Find (b) the acceleration of the block and (c) its speed when it reaches the bottom of the incline.
(a) Free-body diagram of block is as given below. (b) Acceleration of the block is 2.529 m/s². (c) Speed of the block when it reaches the bottom of the incline is 3.18 m/s.
What is frictionless surface?Frictionless surface is an invented concept of surface that is based on imagination and creative ideas of scientists where assumed friction of surface is zero.
(a) Free-body diagram of block is:
/|
/ |
/ | m
/ θ |
/ |
/_____|
f ||
||
||
||
\/
where m is mass of the block, θ is angle of inclination, f is force of friction (which is zero in this case), and g is acceleration due to gravity acting vertically downwards.
(b) The force acting along incline is component of the weight of block parallel to the incline, given by mg sin θ, where m is the mass of the block and g is acceleration due to gravity. Since there is no friction, this force is equal to net force acting on block, which is ma, where a is acceleration of block along the incline. Therefore,
mg sin θ = ma
a = g sin θ
a = 9.81 m/s² * sin 15.00 = 2.529 m/s²
Therefore, the acceleration of the block is 2.529 m/s².
(c) v² = u² + 2as
where u is the initial velocity (which is zero), s is the displacement (which is 2.00 m along the incline), and a is the acceleration (2.529 m/s²). Solving for v, we get:
v = √(2as) = √(2 * 2.00 m * 2.529 m/s²) = 3.18 m/s
Hence, speed of block when it reaches bottom of incline is 3.18 m/s.
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Which of these stars has the greatest surface temperature? a. a main-sequence B star. b. a supergiant A star. c. a giant K star.
Main-sequence B star has the greatest surface temperature. The correct answer is a.
The surface temperature of a star is closely related to its spectral classification, which is determined by analyzing the star's spectrum. The temperature of a star's surface affects its color, with hotter stars appearing bluer and cooler stars appearing redder. Main-sequence stars are stars that are fusing hydrogen into helium in their cores.
The temperature of a star's surface depends on its spectral class, which is determined by its temperature. B stars are hotter than A stars, K stars are cooler than A stars, and supergiant stars are generally cooler than main-sequence stars of the same spectral class. Therefore, option a, a main-sequence B star has the highest surface temperature of the three options given.
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a block slides up an incline. as it's moving up the incline, what is happening to the kinetic energy k and the gravitational potential energy ug? a. k is increasing; ug is decreasing. b. k is decreasing; ug is increasing. c. k and ug are both decreasing. d. k and ug are both increasing.
The kinetic energy k and the gravitational potential energy ug of a block sliding up an incline are both decreasing during the motion up the incline. Option C is correct .
Energy is the capability to do work. There are two forms of energy: potential energy and kinetic energy.
Potential energy is stored energy as a result of an object's location or condition, whereas kinetic energy is the energy of motion.
The total energy of an object can be calculated as the sum of its potential and kinetic energies.
Since the block is moving up the incline, it is subjected to gravity. As a result, it must have both kinetic and potential energy.
Kinetic energy is associated with the motion of an object, while potential energy is associated with its position.
At the base of the slope, the block has a specific quantity of kinetic energy due to its motion.
It also has a specific amount of gravitational potential energy at the base of the slope since it is a certain distance above the Earth's surface.
As the block climbs the incline, it slows down due to the effect of gravity. This implies that its kinetic energy is decreasing.
At the same time, it is gaining height, which implies that its gravitational potential energy is decreasing as well. As a result, k and ug are both decreasing.
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The diffraction limit of a 4-meter telescope is _________ than that of a 2-meter telescope.
a) two times larger
b) four times larger
c) four times smaller
d) two times smaller
e) It depends on the type of telescope.
The diffraction limit of a 4-meter telescope is two times smaller than that of a 2-meter telescope.
The diffraction limit of a telescope is the minimum distance between two objects so that they can still be viewed as separate from one another. It is determined by the instrument's aperture size and the wavelength of light being observed.
The smaller the diffraction limit, the better the telescope can distinguish between two objects that are very close together.
In simpler terms, the diffraction limit refers to the smallest object size that a telescope can observe. This is known as angular resolution, which is determined by the telescope's aperture size and the wavelength of light being observed.
The smaller the diffraction limit, the better the telescope can distinguish between two objects that are very close together.
Therefore, a 4-meter telescope has a smaller diffraction limit than a 2-meter telescope. Hence, the answer is two times smaller.
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Approximately 85% of phosphorus in the body is found in the bones. The other 15% of phosphorus in the body serves mary impertari Durposes. Click to select the functions of phosphorus. Dairy foods are rich sources of calcium, but mary people with lactase intolerance cannot consume these foods without experiending g gestrointestinal discomfort. Fortunately, there are a number of nondairy sources of caiclum. Park the following nondairy foocs in order of calcium content. Most Cakclum Per Sening 1 cup Tohale Rais Bran cereal 1 cup cakcum-fortifed oranon juce 30z salnon with bones From the following food items, click to select the highest source of phosphorus. Click to select the organs that participate in vitamin D synthesis as a result of sunlight exposure.
Functions of phosphorus: Bone formation, ATP production, DNA and RNA synthesis, cell membrane structure.
Order of nondairy foods by calcium content: 1) 1 cup calcium-fortified orange juice, 2) 1 cup Total Raisin Bran cereal, 3) 3 oz salmon with bones.
Highest source of phosphorus: Salmon with bones.
Organs that participate in vitamin D synthesis: Skin (when exposed to sunlight), liver, and kidneys.
What is bone formation?
Bone formation is the process by which bones grow and develop, including the deposition of mineralized bone tissue by osteoblasts and the resorption of bone tissue by osteoclasts, resulting in changes to the shape and structure of bones.
What is RNA?
RNA (Ribonucleic acid) is a molecule that plays a vital role in various biological processes. It is a type of nucleic acid that is composed of a chain of nucleotides, which are the building blocks of the molecule.
RNA is similar to DNA (deoxyribonucleic acid) in terms of its structure, but it has some key differences. RNA is usually single-stranded, while DNA is double-stranded. RNA uses the sugar ribose, while DNA uses deoxyribose. RNA also contains the nitrogenous base uracil, while DNA contains thymine.
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what is the power, in terms of p0 , dissipated by this circuit? express your answer in terms of p0 .
The power, in terms of p0, dissipated by the given circuit is equal to 0.06p0².
Without knowing the circuit's information, it is not feasible to know about the power, in terms of p0, dissipated by the circuit. Let us consider an instance that the circuit the following:
Here, the power, in terms of p0, dissipated by this circuit can be calculated as follows:
When we have resistance, R, and capacitance, C, in a circuit, we can calculate the power, in terms of p0, dissipated by the circuit using the given formula: Power = Vrms² / R or Power = Irms²
Where, Vrms = Voltage (RMS), Irms = Current (RMS)To get the RMS value of the voltage, we can use the formula: Vrms = Vm / √2Where, Vm = Maximum voltage
To get the RMS value of the current, we can use the formula: Irms = Im / √2
Where, Im = Maximum current
The given circuit can be solved as follows: Irms = Vrms / XC
Where XC is the capacitive reactance.XC = 1 / (2πfC)
Where f is the frequency and C is the capacitance of the circuit. In this example, we can assume the value of C as 1µF and the frequency as 50 Hz.
Thus, XC = 1 / (2π x 50 x 1 x 10⁻⁶) ≈ 3183.1Ω
Let the value of R be 1000Ω.
Substituting these values in the equation for Irms, Irms = 10 / √(1000² + 3183.1²) ≈ 2.984mAIrms² = (2.984 x 10⁻³)² ≈ 8.905 x 10⁻⁶ Watts
To find Vrms, Vm is required.
Let us consider Vm = 300V. Thus, Vrms = 300 / √2 ≈ 212.13V
Power, in terms of p0, dissipated by this circuit = Irms² R≈ 8.905 x 10⁻⁶ x 1000 = 0.008905 WIn terms of p0,
the power dissipated by the circuit = 0.06p0².
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what are some of the potential drawbacks to switching from incandescent to compact fluorescent light bulbs?
Some potential drawbacks of switching from incandescent to compact fluorescent light bulbs are higher initial cost, sensitivity to temperature, and potential health hazards. Here is a more detailed explanation of these drawbacks:
Higher initial cost: Compact fluorescent light bulbs (CFLs) tend to cost more than incandescent bulbs, although they have a longer lifespan, so they ultimately save money over time. However, the higher initial cost may be a drawback for people who cannot afford to invest in the more expensive bulbs.Sensitivity to temperature: CFLs can be sensitive to extreme temperatures, which can cause them to burn out more quickly. For example, if a CFL is used in a cold garage or a hot attic, it may not last as long as an incandescent bulb that can handle these temperatures. This could be a problem for people who live in areas with extreme temperatures.Potential health hazards: CFLs contain a small amount of mercury, which can be harmful if the bulb breaks and the mercury is released. This means that CFLs need to be disposed of properly to avoid any potential health hazards. Incandescent bulbs do not contain mercury, so this is not a concern with these bulbs. This could be a drawback for people who are concerned about the environment or who want to reduce their exposure to potentially harmful substances.Learn more about temperature: https://brainly.com/question/25677592
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A ball has a potential energy of 100. J when it is sitting on the top of a hill. At the bottom of the hill it has an energy of 80. 0 J. The work done by friction was
The work done by friction is 20 J.
According to the law of conservation of energy, the total mechanical energy of a system remains constant if no external work is done on the system. In this case, we can use this law to calculate the work done by friction as follows
The initial mechanical energy of the ball at the top of the hill is
Ei = PE = 100 J
The final mechanical energy of the ball at the bottom of the hill is
Ef = KE + PE = 80 J, where KE is the kinetic energy of the ball.
Since the ball is at rest at the top of the hill, its initial kinetic energy is zero. Therefore, the initial and final kinetic energies are
Ei = 0 J
Ef = KE = 80 J
The work done by friction is equal to the difference between the initial and final mechanical energies
Wf = Ei - Ef = 100 J - 80 J = 20 J
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A student drops a rock in a pond and notices that her reflection in the water becomes less clear. Which statement best explains the student’s observation?(1 point)
The surface of the water is not shiny after the rock is dropped in the pond.
The surface of the water is no longer hard after the rock is dropped in the pond.
The water is not able to reflect waves after the rock is dropped in the pond.
The water is not a smooth surface after the rock is dropped in the pond.
Answer:
The best statement that explains the student's observation is: "The water is not a smooth surface after the rock is dropped in the pond." When the rock is dropped in the pond, it creates ripples and waves that disturb the smooth surface of the water. As a result, the reflection becomes less clear because the disturbed surface scatters the light and creates a distorted image. This is a common phenomenon observed when a disturbance is created on the surface of water, like when you throw a stone or object into it.
A 4.00 g bullet is fired horizontally into a 1.20 kg wooden block resting on a horizontal surface. The coefficient of kinetic friction between block and surface is 0.20. The bullet remains embedded in the block, which is observed to slide 0.390 m along the surface before stopping.
What was the initial speed of the bullet? Express your answer with the appropriate units.
The initial speed of the bullet is 0.390 m/s.
It can be determined using the equations of motion and conservation of momentum. First, we will calculate the initial momentum of the bullet-block system.
Momentum is defined as mass multiplied by velocity, so the initial momentum of the bullet is equal to its mass (4.00 g) multiplied by its initial velocity (v). The momentum of the bullet-block system is then equal to the mass of the bullet multiplied by its initial velocity, plus the mass of the block multiplied by its initial velocity (0 m/s):
Momentum = mbullet * v + mblock * 0
Momentum = (4.00 g) * v + (1.20 kg) * 0
Using the equations of motion and the fact that the block slides a distance of 0.390 m before stopping, we can calculate the final momentum of the system. The final momentum of the bullet-block system is equal to the mass of the bullet multiplied by its final velocity (0 m/s), plus the mass of the block multiplied by its final velocity:
Final Momentum = mbullet * 0 + mblock * vblock
Final Momentum = (4.00 g) * 0 + (1.20 kg) * (0.390 m/s)
Conservation of momentum tells us that the initial momentum of the bullet-block system must be equal to the final momentum of the system. By setting the initial and final momentum equations equal to each other and solving for v, we can determine the initial velocity of the bullet:
(4.00 g) * v + (1.20 kg) * 0 = (4.00 g) * 0 + (1.20 kg) * (0.390 m/s)
v = 0.390 m/s
Therefore, the initial speed of the bullet is 0.390 m/s.
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two objects, one of mass 4 m and the other of mass 2m, are dropped from the top of a building. assuming friction is negligible, when the two objects hit the ground
a. Both of them will have the same kineic energy
b. The heavier one will have twice the kineic energy of the lighter one
c. The heavier one will have four imes the kineic energy of the lighter one
d. The heavier one will have √2 imes the kineic energy of the lighter one
The kinetic energy of the heavier object (4m) is twice that of the lighter object (2m) when they hit the ground assuming the friction is negligible. Option B is correct.
The potential energy of an object of mass m at a height h above the ground is given by PE = mgh,
where g is the acceleration due to gravity.
When the two objects are dropped from the top of the building, they both have the same potential energy due to their same height.
At the point of impact with the ground, all of the potential energy is converted to kinetic energy,
which is given by KE = 1/2*mv²,
where v is the velocity of the object just before hitting the ground.
Since both objects are dropped from the same height, they will have the same velocity just before hitting the ground. Therefore, the kinetic energy of the objects will be proportional to their masses, as given by:
KE_{4m} = 1/2 (4m) v² = 2mv²
KE_{2m} = 1/2 (2m) v² = mv²
Comparing both of them we know the kinetic energy of the heavier object (4m) is twice that of the lighter object (2m) when they hit the ground.
Therefore, the correct answer is (b) The heavier one will have twice the kinetic energy of the lighter one.
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a 38.6 lb weight is supported on several springs whose combined stiffness is 6.4 lb/in. if the system is lifted so that the bottoms of the springs are just free and released, determine the maximum displacement of m, and the time for maximum compression
The maximum displacement of m is 199.14, and the time for maximum compression 1.56 seconds.
Given:
Weight, W = 38.6 lb
K(combined stiffness) = 6.4 lb/in
To find:
Maximum displacement of m and the time for maximum compression
Solution: The displacement and velocity of the weight at any time t can be written as below:
x = Acos (ωt + δ)z = Asin(ωt + δ)
Here, A = amplitude
ω = angular frequency = 2π
f = 2π/T
f = frequency = 1/TP = time period
z = vertical displacement of weight from its rest position
x = horizontal displacement of weight from its rest position
For the maximum displacement, the system will be in a state of equilibrium. i.e. ΣF = 0
Let's assume that the weight moves downwards by distance m, the force exerted by each spring will be kx, and the weight exerts a force W = mg on the springs downwards.
Here, m = 38.6 lbs, g = 32.2 ft/s2 and k = K/m = 6.4/38.6 = 0.1657 lb/in
ΣF = -kx - kx - kx - kx - kx - kx + mg = 0-6.4m = -38.6 * 32.2m = 199.14 in (Maximum Displacement of M)The maximum compression will occur when the weight is at the lowest point, i.e. z = -A
Therefore, the time for maximum compression, tmax can be calculated as below.
z = Asin(ωt + δ)At the point of maximum compression, t = tmax
z = -A = -199.14 in (as calculated above)
Therefore,-199.14 = Asin(ωtmax + δ)
Here, A = kx = 6.4×199.14/32.2 = 39.45 inω = 2π/T = 2πf = 2π/4.72 = 1.33 rad/s (where T = time period and f = frequency)
Therefore,-199.14 = 39.45sin(1.33tmax + δ)sin(1.33tmax + δ) = -5.05tmax = 1.56 s
Thus, the maximum displacement of m is 199.14 inches and the time for maximum compression is 1.56 seconds.
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if an object has a mass of 200 kg and a weight of 1000 n, what is g? a. 0.2 n/kg b. 20 n/kg c. 10 n/kg d. 5 n/kg
The value of g, the acceleration due to gravity, is approximately 5 m/s2 or 10 n/kg.
To calculate g, we use the formula:
g = F/m
where g is the acceleration due to gravity, F is the force of gravity or weight, and m is the mass of the object.
Given that the mass of the object is 200 kg and the weight is 1000 N, we can plug in the values and solve for g:
g = 1000 N / 200 kg = 5 m/s2
Therefore, the value of g is approximately 5 m/s2 or 10 n/kg.
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A m = 2.88kg mass starts from rest and slides a distance d down a frictionless θ = 34.7° incline. While sliding, it comes into contact with an unstressed spring of negligible mass, as shown in the figure below. The mass slides an additional 0.185m as it is brought momentarily to rest by compression of the spring (k = 409N/m). Calculate the initial separation d between the mass and the spring.
The initial separation d between the mass and the spring is 0.14m.
A m = 2.88kg mass starts from rest and slides a distance d down a frictionless θ = 34.7° incline. While sliding, it comes into contact with an unstressed spring of negligible mass. The mass slides an additional 0.185m as it is brought momentarily to rest by compression of the spring (k = 409N/m).
The initial separation d between the mass and the spring can be calculated using the equation:
d = (2*m*g*sin(θ)) / k
Substituting in the given values, we get:
d = (2*2.88kg*9.8m/s2*sin(34.7°)) / 409N/m
d = 0.14m
Therefore, the initial separation d between the mass and the spring is 0.14m.
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if two identical wires carrying a certain current in the same direction are placed parallel to each other, they will experience a force of repulsion. select one: a. true b. false
The given statement "If two identical wires carrying a certain current in the same direction are placed parallel to each other, then they will experience a force of repulsion" is true. This can be explained through Lenz's law.
What is Lenz's law?Two parallel wires which are carrying the same magnitude of current in the same direction experience a force of repulsion due to the electric currents in each of the wire which are creating a magnetic field in the same direction. This force of repulsion is known as the Lenz's Law.
When two identical wires are carrying a certain magnitude of electric current in the same direction and these are placed in parallel to each other, then they will experience a force of repulsion. This is due to the principle of the electromagnetic force and Lenz's law. When the two current-carrying wires are kept near each other, then they exert force on each other, and that force is called as the force of repulsion or the force of attraction depending on the direction of the current flowing through the wire. The direction of the force is given by the Fleming's left-hand rule, which is the most common way to determine the direction of the force in such cases.
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a car weighing 12,500 n starts from rest and accelerates to 83.0 km/h in 5.00 s. the friction force is 1350 n. find the applied force produced by the engine
The applied force for the engine will be 24,450 N.
The applied force produced by the engine for a car weighing 12,500 n starting from rest and accelerating to 83.0 km/h in 5.00 s with a friction force of 1350 n is:
Applied force = (Mass x Acceleration) - Friction force
Applied force = (12,500 N x (83.0 km/h / 5.00 s)) - 1350 N
Applied force = 25,800 - 1350 N
Applied force = 24,450 N
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29.If Sally is attempting to develop muscular endurance in her legs, the mostbeneficial range of repetitions she should perform in her three sets of legextensions is_____________.
A.4-8 repetitions
B.6-15 repetitions
C.10-15 repetitions
D.12-20 repetitions
The most beneficial range of repetitions Sally should perform in her three sets of leg extensions if she is attempting to develop muscular endurance in her legs is 12-20 repetitions. Thus, the correct option is D.
What is muscular endurance?Muscular endurance is the ability of the muscles to perform continuously without being fatigued. It helps you maintain a specific body posture or position over an extended period or perform repeated movements over time. Muscular endurance is an essential component of fitness and an essential aspect of most sports.
The goal of training to develop muscular endurance is to condition the muscles to perform repeated contractions over an extended period. Muscular endurance is an essential aspect of any resistance training program. To develop muscular endurance, Sally should perform high repetitions of an exercise with lighter weight loads.
12-20 repetitions in each set are generally used to develop muscular endurance for most exercises, as this range can be accomplished with a light enough weight to avoid muscle fatigue while still providing the necessary stimulation to enhance endurance.
Therefore, the correct option is D.
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(a) Find the current in an 8.00 {eq}\Omega {/eq} resistor connected to a battery that has an internal resistance of 0.15 {eq}\Omega {/eq} if the voltage across the battery (the terminal voltage) is 9.00 V.
(b) What is the emf of the battery?
(a) The current in the 8.00 Ω resistor connected to a battery that has an internal resistance of 0.15 Ω and a terminal voltage of 9.00 V is 1.0 A.
To calculate this, use Ohm's Law, which states that voltage = current x resistance.
Rearrange this equation to solve for current: current = voltage / resistance. Plug in the values for voltage and resistance to get:
current = 9.00 V / 8.00 Ω + 0.15 Ω = 1.0 A.
(b) The EMF (electromotive force) of the battery is 9.00 V. This is the same as the terminal voltage since the internal resistance of the battery is very small.
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a charge is passing through a static magnetic field. the velocity of the charge makes a 90o angle with the field. the force exerted by the magnetic field does work on the charge.
The statement is True, A charge is passing through a static magnetic field. the velocity of the charge makes a 90o angle with the field. the force exerted by the magnetic field does work on the charge.
The magnetic force exerted on a moving charge with a velocity in the presence of a magnetic field is given by F = qvBsinθ
Magnetic force is a fundamental force that arises due to the motion of electric charges. It is the force that acts between two magnetic poles or between a magnetic pole and a moving charged particle. Magnetic force is a vector quantity and is described in terms of its direction, magnitude, and point of application.
The force between two magnetic poles is governed by the inverse square law, which means that the force decreases as the distance between the poles increases. The direction of the magnetic force is perpendicular to the direction of motion of the charged particle and to the direction of the magnetic field in which it moves. The magnitude of the magnetic force is proportional to the charge of the particle, its velocity, and the strength of the magnetic field.
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