The diagram below shows an 8.0-kilogram cart moving to the right at 4.0 meters per second about to make a head-on collision with a. 4.0-kilogram .
What is called the diagram?A diagram is a simple drawing which consists mainly of lines and is used, for example, to explain how a machine works. ... a circuit diagram. You can reduce long explanations to simple charts or diagrams. Synonyms: plan, figure, drawing, chart More Synonyms of diagram.
Why are diagrams used?Diagrams are concise: Visualization is great for communicating dense and complex information, and as a result, improving productivity. Employees can understand the diagram clearly, they have fewer questions, make fewer mistakes and are more productive.
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Two stones are thrown vertically upward from the ground, one with three times the initial speed of the other. Assume free fall.
A)If the faster stone takes 11.0s to return to the ground, how long will it take the slower stone to return?
B)If the slower stone reaches a maximum height of , how high (in terms of ) will the faster stone go?
At the instant the traffic light turns green, an automobile that has been waiting at an intersection starts ahead with a constant acceleration of 2.70 ms2. At the same instant, a truck, traveling with a constant speed of 14.7m/s , overtakes and passes the automobile.
How far beyond its starting point does the automobile overtake the truck?
How fast is the automobile traveling when it overtakes the truck?
In two stones thrown vertically upward problem, it will take the slower stone 3.67 seconds to return and faster to go 303.6 m high. In vehicles overtaking problem, automobile overtakes the truck 60.16m beyond, and is traveling at 14.7m/s when it overtakes the truck.
Two stones thrown vertically upward problem:
A) To solve this problem we need to use the equation of motion for free fall under gravity: h = -1/2 gt^2 + vt + h0, where h is the height of the stone, g is the acceleration due to gravity, t is the time, and h0 is the initial height. Since we know that the stone is thrown vertically upward from the ground, the initial height h0 is 0.
We also know that the stone is in free fall, so the velocity v is 0 and the final height h is also 0.
We can use this information to find the time it takes for the faster stone to return to the ground:
h = -1/2 gt^2 => 0 = -1/2 (9.8 m/s^2) t^2 => t = √(2h/g) => t = √(2*0/9.8) => t = 0
Now, we know that the faster stone takes 11.0s to return to the ground, and that the faster stone has 3 times the initial speed of the slower stone.
So, the slower stone will take (11.0s/3) = 3.67s to return to the ground.
B) If the slower stone reaches a maximum height of h, then the faster stone will go 3h high.
We can use the equation of motion for free fall under gravity to find the maximum height of the slower stone:
h = -1/2 gt^2 + vt + h0 => 0 = -1/2 gt^2 + 0 + 0 => h = -1/2 gt^2 => h = -1/2 (9.8 m/s^2) (3.67 s)^2 => h = -1/2 (9.8 m/s^2) (13.41 s^2) => h = -1/2 (9.8 m/s^2) (13.41 s^2) => h = -101.2 m
So, the faster stone will go 3*101.2 m = 303.6 m high.
Automobile and truck problem:
We can use the equations of motion for constant acceleration.
First, we need to find the time it takes for the automobile to overtake the truck. We can use the equation: v = u + at, where v is the final velocity, u is the initial velocity (0 m/s for the automobile), a is the acceleration (2.7 m/s^2) and t is the time.
So, v = 0 + 2.7t
Next, we can use the equation of motion for relative motion: v = v_t - v_a, where v_t is the velocity of the truck and v_a is the velocity of the automobile. So, v = 14.7 - 2.7t
We can now set the two equations equal to each other: 14.7 = 2.7t. So, t = 5.44 seconds.
To find the distance the automobile travels before overtaking the truck, we can use the equation: s = ut + (1/2)at^2. Plugging in the known values, s = (1/2) (2.7 m/s^2) (5.44 s)^2 = 60.16 m
To find the velocity of the automobile when it overtakes the truck, we can use the equation: v = u + at. Plugging in the known values, v = 0 + 2.7 (5.44 s) = 14.7 m/s
So, the automobile overtakes the truck 60.16m beyond its starting point and the automobile is traveling at 14.7m/s when it overtakes the truck.
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The diagram shows four pairs of large parallel conducting plates. The value of the electric potential is given for each plate. Rank the pairs according to the magnitude of the electric field between the plates, least to greatest
The magnitude of the electric field between the plates, from least to greatest is shown by option C.
What is the ranking?We know that when two plates that are conducting are arranged in such a way that a gap is left in between them, the we have a capacitor. The electric potential of the capacitor would have a lot to do with the distance of the separation of the plates.
As such, the closer the plates are together, the greater the electric potential of the plates and the more the plates are apart, the lesser the electric potential of the plates.
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determine the greatest velocity obtained by this object (consider magnitude only in determining 'greatness'). (if negative, then enter a negative answer.))
The vector quantity velocity (v), denoted by the expression v = s/t, quantifies displacement (or motion, s), over change in time (t).
What is negative speed?Negative Velocity: If an object's position is shifting negatively as time passes, it has negative velocity. The airspeed is negative when any graph of displacement against time has a negative slope.
Why do velocity measurements range from positive to negative?Depending on the co - ordinate system used to define the position, the velocity's sign can change. A positive velocity merely indicates that a moving object is moving throughout the coordinate system's positive direction, whereas a negative velocity denotes that the item is going in the opposite direction.
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If a simple pendulum oscillates with small amplitude and its length is doubled, what happens to the frequency of its motion?
A) It Doules
B) It becomes √(2) times as large.
C) It become half as large D) It becomes 1√(2) times as large.
E) It remains same.
If a simple pendulum oscillates with small amplitude and its length is doubled, the frequency of its motion remains same.
Explain the function of simple pendulum oscillation?A simple pendulum is a mass suspended from a fixed point and allowed to swing freely under the influence of gravity. The motion of the pendulum is an example of periodic motion, meaning that the motion is repeated over and over again. This motion is called oscillation.When the pendulum is displaced from its equilibrium position, the restoring force of gravity will cause it to swing back and forth. As the pendulum swings, potential energy is converted to kinetic energy and back again, resulting in oscillations. The time it takes for the pendulum to complete one full swing is known as the period of oscillation.The period of a simple pendulum is determined by its length, the acceleration due to gravity, and the angle of displacement. As the length increases, the period increases, and as the angle of displacement increases, the period decreases.The oscillation of a simple pendulum is an example of a harmonic motion. That is, the displacement of the pendulum is proportional to the force applied to it. This means that a small force can cause a large displacement, resulting in a large oscillation.To learn more about simple pendulum refer to:
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Consider the following state vectors: a) Normalize each state vector. b) For each state vector, calculate the probability that the spin component is up or down along each of the three Cartesian axes. Use bra-ket notation for the entire calculation. c) Write each normalized state in matrix notation. d) Repeat part (b) using matrix notation for the entire calculation.
We have used the state-vector notation established with in Representing Qubit Environments section to express the state of our qubits throughout the bulk of Qiskit textbook.
A Qubit sector is what is it?A qubit quantum bit is the fundamental building block containing information in quantum computing, much as a binary bit is in regular traditional computing. New discoveries in health, economics, environmental systems, advanced materials, and other fields are being sparked by quantum computing.
A Qiskit testbook: what is it?With Qiskit, users may conduct experiments at home using cutting-edge quantum devices. That experimental quantum theory that underpins quantum computing is also taught in the textbook. It offers resources for developing, modifying, and executing quantum applications on
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Two toy cars with different masses originally at rest are pushed apart by a spring between them. Which of the following statements would be true? Select two answers. (A) both toy cars will acquire equal but opposite momenta (B) both toy cars will acquire equal kinetic energies (C) the more massive toy car will acquire the least speed (D) the smaller toy car will experience an acceleration of the greatest magnitude
The answers are A)and B) both toy cars will acquire equal but opposite momenta and both toy cars will acquire equal kinetic energies
What is the rationale behind Newton's law?There is an equal and opposite reaction to every action, according to Newton's third law of motion. So, when a spring pushes the two toy cars apart, the force exerted on each car will be equal in magnitude but opposite in direction. Since force is equal to the rate of change of momentum, the two cars will acquire equal but opposite momenta.The kinetic energy of an object is given by the equation KE = 1/2 * m * v^2, where m is the mass of the object and v is its speed. Since the two toy cars have different masses, they will not acquire the same kinetic energy.To learn more about newtons law refer:
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What is the percentage decrease in the weight of a body when it is taken 32 km below the surface of the earth? [Radius of the earth=6400km]
The percentage decrease in the weight of a body when it is taken 32 km below the surface of the earth=0.5%
Here d= 32 km R= 6400 km
Body weight at depth d is mg'
W=mg(1-d/R)%
decrease in weight =[tex]\frac{(mg-mg^{1} )}{mg} \times100[/tex] = [tex]\frac{32}{6400} \times100[/tex]=0.5%
The gravitational force that pulls on an object is referred to as its weight in physics and engineering.
Many widely used textbooks refer to the gravitational force exerted on an item as its "weight." Weight is frequently described as a scalar quantity that measures the gravitational force's strength. Others define it as the potency of the forces at action in mechanisms designed to counteract the effects of gravity on a body. A spring scale, for instance, measures weight. As a result, during free fall, there would be no weight. In this sense, nothing terrestrial can have any weight.
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a wire with mass 45.0 g is stretched so that its ends are tied down at points a distance 75.0 cm apart. the wire vibrates in its fundamental mode with frequency 64.0 hz and with an amplitude at the antinodes of 0.320 cm. for related problemsolving tips and strategies, you may want to view a video tutor solution of
The wire is stretched and tied down at points 75.0 cm apart, and it vibrates in its fundamental mode with a frequency of 64.0 Hz and an amplitude of 0.320 cm at the anti nodes is 259200.0 g cm/s².
How to calculate wavelength?From this information, we can use the following equations to calculate the wavelength, velocity, and tension of the wire:
Wavelength: λ = 2L/n, where L is the distance between the fixed points and n is the number of anti nodes (in this case, n = 1 for the fundamental mode). Therefore, λ = 2(75.0 cm)/1 = 150.0 cm.
Velocity: v = fλ, where f is the frequency and λ is the wavelength. Therefore, v = 64.0 Hz x 150.0 cm = 9600.0 cm/s.
Tension: T = (mv²)/λ, where m is the mass of the wire and v is the velocity. Therefore, T = (45.0 g x 9600.0 cm/s²)/150.0 cm = 259200.0 g cm/s².
It is important to note that the above calculations are based on the assumption that the wire behaves as a simple harmonic oscillator, meaning that it oscillates with a constant amplitude and frequency.
Additionally, it is also important to note that the tension in the wire is what causes the wire to oscillate, and it is also what allows the wire to transmit sound waves.
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What three requirements must be satisfied to initiate and sustain combustion?1. A fuel must be present2. Oxygen must be available in a big enough quality to combine with fuel3. Heat must be applied to initiate the combustion, sufficient heat must generated to sustain the reaction
To start and maintain combustion, three conditions must be met: heat, fuel, and oxygen.
What is the straightforward meaning of combustion?a chemical interaction between different compounds, generally including oxygen, that produces heat in the kind of flames. burning coal or wood of any type to heat our home. Buses and cars utilize gasoline or diesel to operate. Your cooktop is powered by natural gas or LPG. The burning of these gases facilitates cooking.
Why does anything burn?To sum up, three elements must be present for combustion to take place: a fuel to be destroyed, a source of carbon, and a sources of heat. Combustion results in the production of exhausts and the release of heat.
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Based on the Potential Energy vs Position graph, which of the points are:a) in stable equilibriumb) in unstable equilibriumc) in neutral equilibriumd) not in equilibriume) turning points
a) Points "B" and "E" are in stable equilibrium.
b) In this curve , points A and C are in unstable equilibrium.
c) There is no point which in neutral equilibrium.
What is equilibrium?When a system is in equilibrium, neither its internal energy state nor its state of motion tend to change over time. A simple mechanical body is said to be in equilibrium if it neither experiences linear acceleration nor angular acceleration; unless it is disturbed by an external force, it will remain in that state indefinitely. If all of the forces acting on a single particle are vector summated to zero, equilibrium results.
a)
Stable equilibrium point is surrounded by points of higher potential energy.
Points "B" and "E" are in stable equilibrium.
b)
Unstable equilibrium point is surrounded by points of lower potential energy.
In this curve , points A and C are in unstable equilibrium.
c)
Neutral Equilibrium Point : This point is surrounded by points of same potential energy.
There is no point which in neutral equilibrium.
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Complete question:
“We are observing wasted heat in everyday life for example in Pakistan heavy generated are installed, during their supply of electricity an excessive amount of wasted heat is produced in its surrounding, similarly when we drive a vehicle a heat is available in the surrounding of engine of that vehicle, we can also see many more such examples of wastage of heat. This heat is effecting the environment of Pakistan badly.
Is it conceivable to convert this wasted heat into some useful work/energy/electricity or not. If yes how? If no why
Yes, it is possible to convert wasted heat into useful work, energy, or electricity using a device called a thermoelectric generator (TEG), etc.
What are ways to convert wasted heat into useful work?TEGs work by using the difference in temperature between two sides of the device to generate electricity. This process is known as the Seebeck effect. TEGs have been used to convert the wasted heat from car engines and industrial processes into electricity, for example.
Another way of converting wasted heat into electricity is using Organic Rankine Cycle (ORC) which is similar to the Rankine Cycle used in traditional power plants, but it uses an organic fluid with a lower boiling point. This allows for the use of lower temperature heat sources, such as industrial waste heat or solar thermal energy, to generate electricity.
Additionally, the use of waste heat recovery system (WHRS) can also be used to recover heat from industrial processes, power generation, and other sources, and convert it into electricity.
So yes, it is possible to convert wasted heat into useful energy, and various methods have been developed to do so, it is just a matter of cost-effectiveness and practicality in the specific case of Pakistan.
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Are bricks good conductors of heat
Answer:
A good brick should have a low thermal conductivity, allowing the house to be cool in the summer and warm in the winter. Hence, bricks are not good conductors of heat.
Explanation:
sally and sam are in a spaceship that comes to within 17,000 km of the asteroid ceres. determine the force sally experiences, in n, due to the presence of the asteroid. the mass of the asteroid is 8.7 1020 kg and the mass of sally is 62 kg. for calculation purposes, assume the two objects to be point masses.
The force that Sally experiences due to the presence of the asteroid Ceres is 3.8 x 10⁻⁸ N.
To determine the force Sally experiences due to the presence of the asteroid Ceres, we can use the formula for gravitational force:
F = G x (m₁ x m₂) / r²
where F is the gravitational force, G is the gravitational constant (6.67 x 10⁻¹¹ Nx(m²)/(kg²)), m1 is the mass of Sally, m₂ is the mass of Ceres, and r is the distance between the two masses.Given that:
m₁ = 62 kg (mass of Sally)
m₂ = 8.7 x 10²⁰ kg (mass of Ceres)
r = 17,000 km = 17,000,000 meters
F = (6.67 x 10⁻¹¹ Nx(m²)/(kg²)) x (62 kg x 8.7 x 10²⁰ kg) / (17,000,000 m)²
F = (6.67 x 10⁻¹¹ Nx(m²)/(kg²)) x (62 kg x 8.7 x 10²⁰ kg) / 2,89,000,000,000,000 m²
F = 3.8 x 10⁻⁸ N
So the force that Sally experiences due to the presence of the asteroid Ceres is 3.8 x 10⁻⁸ N.
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if distance =1000 cm and speed =40 cm/s, what is time (t)?
Answer:
25 seconds
Explanation:
Answer:
t = distance ÷ speed
t = 1000 cm ÷ 40 cm/s
t = 25 s
So it would take 25 seconds to cover a distance of 1000 cm at a speed of 40 cm/s. It's important to note that the units of distance and speed must be the same in order for the calculation to be correct. Also, this is a basic equation which is based on the distance-time-speed relationship. This equation can be used for various other calculations and can be helpful in determining the time required to reach a certain distance at a certain speed.
a 2kg object is moving in along the x-axis under a single conservative force. when the object is at position x?
The particle comes to rest before reaching the position x=4m.
What is the direction of F(x) at this position?The connection between the potential energy function U(x) and the conservative force F(x) is given by Eq.:F(x)=−dU/dx.
A positive slope of U(x) at a point means that F(x) is negative, and vice versa.
The force at x=2.0m is
[tex]$\mathrm{F}=-\frac{\mathrm{dU}}{\mathrm{dx}} \approx-\frac{\Delta \mathrm{U}}{\Delta \mathrm{x}}=-\frac{\mathrm{U}(\mathrm{x}=4 \mathrm{~m})-\mathrm{U}(\mathrm{x}=1 \mathrm{~m})}{4.0 \mathrm{~m}-1.0 \mathrm{~m}}$[/tex]
[tex]$=-\frac{-(17.5 \mathrm{~J})-(-2.8 \mathrm{~J})}{4.0 \mathrm{~m}-1.0 \mathrm{~m}}=4.9 \mathrm{~N}$[/tex]
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A truck moving at 8.33 m/s accelerates at a constant rate of 42.0 m/s2 for 5.60 seconds. The truck has a final velocity of (2 points)
226 m/s
234 m/s
244 m/s
245 m/s
261 m/s
Please be 100% sure
Answer:244 m/s
Explanation: Vf= Vi+a.t
Vf= 8.33+(42 x 5.6)
Vf=243.53 m/s
If a two-body collision is not head-on, then which of the following is always true?
a. Momentum is conserved,
b. Kinetic Energy is conserved,
c. Neither a nor b is true,
d. That a is true and b is not true,
e. That b is true and a is not true.
Momentum is always conserved when two separate objects collide. Only elastic collisions preserve kinetic energy.
Momentum is never preserved when two bodies meet, correct?Momentum is conserved for any collision in an isolated system. Before and after the collision, the collection of items in the system had an equal amount of total momentum.
Which of the following summaries best describes the collision theory?According to the collision theory, for a reaction to take place, there must be interactions between different molecules. It's not necessary for every molecular collisions to result in a product. Only when the chemical reactions have energy over the threshold energy will the product develop.
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PART ONE
A student sits on a rotating stool holding two 5 kg objects. When his arms are extended horizontally, the objects are 0.7 m from the axis of rotation, and he rotates with angular speed of 0.75 rad/sec. The moment of inertia of the student plus the stool is 3 kg m² and is assumed to be constant. The student then pulls the objects horizontally to a radius 0.31 m from the rotation axis.
Calculate the final angular speed of the
student.
Answer in units of rad/s.
PART TWO
Calculate the change in kinetic energy of the system.
Answer in units of J.
Answer:
a) 1.05rad/s
b) 1.38J
Explanation:
A pendulum bob is released from some ini-
tial height such that the speed of the bob at
the bottom of the swing is 3.0 m/s.
The acceleration of gravity is 9.81 m/s².
What is the initial height of the bob?
A bob is the mass on the end of a pendulum found most commonly, but not exclusively, in pendulum clocks.
What is a bob on a pendulum?
A basic pendulum consists of a light, flexible, inextensible thread with a heavy but tiny item, known as a "bob," at one end. Graph: Pendulum clocks employ it. It's used to calculate the acceleration caused by gravity.
Clock pendulums are typically composed of a weight or bob attached to the bottom end of a rod, with the top linked to a pivot so it can swing, despite the fact that a pendulum's shape or any rigid item hanging on a pivot is theoretically possible.
The benefit of this design is that it places the centre of mass farthest from the pivot, nearer to the actual end of the pendulum. This reduces the length of the pendulum needed for a specific period and increases moment of inertia.
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Newton horizontal force is exerted upon a 3.1-kg box to move it across a level surface at a constant velocity of 1.4 m/s. The force of friction encountered by the box is Newton. O 47 O 105 O 4.84 O 147
Newton horizontal force is exerted upon a 3.1-kg box to move it across a level surface at a constant velocity of 1.4 m/s. The force of friction encountered by the box is 4.84N.
Explain force of friction?
Friction is a force that resists the movement of two objects that are in contact with each other. Friction is a force that can be beneficial or detrimental depending on the situation.
In most cases, friction is beneficial because it allows us to move and use things more easily. For example, friction allows us to walk on a surface without slipping, and it also helps us grip objects.Without friction, we would be unable to perform actions like writing or holding a cup of coffee.When two surfaces come into contact, friction is produced. The amount of friction between two surfaces is determined by the type of surface, the amount of force applied, and the amount of contact between the two surfaces.The rougher the surface, the more friction will be generated. The more force applied, the stronger the friction will be. Finally, the larger the area of contact between the two surfaces, the greater the friction will be.Friction can be beneficial or detrimental, depending on the situation. In some cases, friction can be beneficial and help us move and use things more easily.In other cases, it can be detrimental and cause unwanted resistance. It is important to consider the effects of friction when designing objects and performing activities.Now,
F = ma
F = 3.1 kg * 1.4 m/s^2
F = 4.84 N
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A lever with an effort arm of 10 meters and a load arm of 2 meters is used to lift an object weighing 220 Newtons to a height of 4 meters. If 400 joules of work is done, how much force must have been applied?
100 N
4000 N
1600 N
800 N
600 Joules of work is used to lift a box from the ground to a height of six meters. How much work would have been done if a lever would have been used with an effort arm of 12 meters and a load arm of 6 meters?
600 J
100 J
72 J
50 J
The work done by using a lever with an effort arm of 12 meters and a load arm of 6 meters is 72 Joules. The force must have applied is 1600 N.
what is the calculation of work done ?The work done (in Joules) = force x distance.In this case, the force is the weight of the box (F = m * g, where m is the mass of the box and g is the acceleration due to gravity) and the distance is the height of 6 meters.Since work done is 600 J,600 J = m * g * 6When a lever is used, the work done is given by the formula:work done = effort distance x effort force = load distance x load forceEffort arm = 12 m, load arm = 6 m, and effort force = load forceSo, effort distance = load distance / (effort arm/load arm) = 6/2 = 3mTherefore, the work done by using lever = 3m x effort force = 3m x load force = 3m x mg = 3mg3 = 72 JAnd now The work done (in Joules) = force x distance.In this case, the force is the weight of the object (F = m * g, where m is the mass of the object) and the distance is the height of 4 meters.Since work done is 400 J,400 J = force * 4And by using the lever, the work done is given by the formula:work done = effort distance x effort force = load distance x load forceEffort arm = 10 m, load arm = 2 m, and effort force = load forceSo, effort distance = load distance / (effort arm/load arm) = 4/5 = 0.8mTherefore, the effort force = work done / effort distance = 400J / 0.8m = 1600 NTo learn more about work done refer:
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PLS HELP 1. Analyze Image A. What do you notice about the temperature (energy) of our planet over the last 500 million years? What role do these changes in energy (temperature) play in the climate changes you learned about in Mission 1: Ellesmere Island?
2. Analyzing Image A. Consider the concepts learned in the 1/24/22 CC and the data gathered during the simulation. What evidence (proof) is there that humans are causing Earth’s drastic spike in temperature affecting our climate and biomes rather than the Earth following its normal cycle? (NOTE: You must specifically state proof from the CC AND the simulation to support your point of view)
The answers include the following:
The role these changes in energy (temperature) play in the climate changes is that it leads to a rising sea level and unpredictable weather patterns.The evidence there that humans are causing Earth’s drastic spike in temperature affecting our climate and biomes rather than the Earth following its normal cycle is as a result of the increase in the emission of greenhouse gases causing it.What is Climate change?This is referred to as long-term shifts in temperatures and weather patterns and is caused by factors.
They include the emission of greenhouse gases such as carbon dioxide due to burning of fossil fuel which is associated with technological advances.
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in each case below an arrow has been shot from the top of a building either up at a 45 degree angle straight out horizontally or down at a 45 degree angle all arrow are identiical and are shot at the same speed
The kinetic energy and speed of arrows that have the most potential energy at the beginning are the highest at the end.
As a result, the order is C = F > A = E > B = D.
Potential energy is stored energy that is affected by the relative location of various components in a system. When a spring is squeezed or extended, its potential energy increases. A steel ball has higher potential energy when lifted above ground than when it falls to Earth. It can do more work in the elevated position. Potential energy is a property of a system, not an individual substance or particle; for example, the system made of Earth and the elevated ball has greater potential energy as the two are separated.
Potential energy is created in systems having pieces that exert forces on each other with varying magnitudes depending on the arrangement.
Correct question is:
Attached as a image with diagram
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A coin rests on a book. The book is tilted until the coin just starts to slide. The angle at which the coin starts to slide is 30 degree. What is the coefficient of static friction between the coin and the book?
The coefficient of static friction between the book and the coin is the tangent of the angle of inclination. Hence, the coefficient is 6.4.
What is static friction ?Friction is the resistive force acting on an object. Static friction is the opposing force acting on a stationary object. It is always negative. The coefficient of friction is the ratio of frictional force to the normal force.
Here, the angle of inclination θ = 30°
The normal force acting in the x direction of the coin = Fx = Mg Sinθ
normal fore from y direction is = Fy = Mg cosθ
Now, frictional force Fs = μ Fx = Fy
then μ cos θ = sin θ.
Then, the coefficient of static friction μ = sin θ/cos θ
μ = tan 30 = 6.4 .
Therefore, the coefficient of static friction between the book and the coin is 6.4.
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When the ___________ is used too hard or too quickly, weight moves to the rear of the car causing the hood to rise and the rear of the vehicle to drop.O AcceleratorO Understeer
O Oversteer
O Evasive steering
from the following properties, select the properties that are not classified as an intensive property. (check all that apply.)
Temperature, density, color, electric current, heating value, as well as other characteristics are all intense attributes since they are unaffected by changes in the size or quantity of the substance.
What intense property examples are there?A property of that is intensive depends solely on the type of matter in a sample and not on the quantity. Examples of intense qualities include color, temperature, and solubility.
Which of the aforementioned traits are intense traits?intense qualities. The rate of electron passage in a conductor is known as electric current. Intensive qualities are those that exist regardless of the quantity of a substance or substances in the system.
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a 42-n block is pulled along a horizontal surface by a force of 28-n as shown. what is the normal force on the block?
The normal force of a 42-N block when pulled along a horizontal surface by a force of 28-N is 411.6 N.
How will you calculate it.
The normal force is the force that acts perpendicular to the surface the object is on. In this case, the normal force is equal to the weight of the block, which is equal to the mass of the block multiplied by the acceleration due to gravity.
The weight of the block can be calculated using the formula: weight = mass * gravity
The mass of the block is 42 N, and the acceleration due to gravity is 9.8 m/s^2 (on earth)
So, the weight of the block is 42 N * 9.8 m/s^2 = 411.6 N
Therefore, the normal force of a 42-N block when pulled along a horizontal surface by a force of 28-N is 411.6 N.
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If the boat is going upstream against a current that has a force of 250 N against the motion of the boat, find the acceleration of the boat if there is a forward force of 360 N from the fan. (Remember that the mass of the boat is 220 kg.)
The acceleration of the boat if there is a forward force of 360 N from the fan is calculated as : 0.05 m/s^2.
What is Newton's second law of motion?Newton's second law of motion states that net force acting on object is equal to mass of the object multiplied by acceleration. Net force acting on the boat is sum of the force from the fan and the force of the current against the motion of the boat.
As, Net force = ma
Given, m is the mass of the boat (220 kg)
Net force = ma = (360 N) - (250 N) = 110 N
a = Net force/m = 110 N/ 220 kg = 0.05 m/s^2
So, acceleration of the boat is 0.05 m/s^2
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using the work-energy theorem, show why a car moving at 20 m/s has four times the that of the same car moving at 10 m/s when starting from rest and with the same force to start moving
The work done is four times greater when the car is moving at 20 m/s than when it is moving at 10 m/s.
What is the proof of the work-energy theorem?According to the work-energy theorem, the work generated by the net force applied on a body equals the change in kinetic energy. W = kf - ki is the simplest way to express it. The work-energy theorem equation is the one presented above. Net work done W turns negative if the body's kinetic energy diminishes.
How can we determine this?Kinetic energy:
KE = 1/2 * m * v^2
where m is the mass of the car and v is the velocity,
KE at 10 m/s = 1/2 * m * 10^2 = 1/2 * m * 100
KE at 20 m/s = 1/2 * m * 20^2 = 1/2 * m* 400
work done
Work (w) = KE_f - KE_i
KE_f = final kinetic energy
KE_i = initial kinetic energy
Work = KE at 20 m/s - KE at 0 m/s
Work = 1/2 * m * 400 - 1/2 * m * 0
Work = 1/2 * m * 400
Hence, a car moving at 20 m/s has four times the that of the same car moving at 10 m/s when starting from rest.
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An immersion heater must increase the temperature of 1.50 kg of water from 10.0°C to 50.0 °C in 10.0 minutes while operating at I 10V. If the specific heat capacity of water is 4186 J/kg/°C, calculate the required. resistance of the heater.
The required resistance of the heater would be 0.0039 ohms.
What is power?Power is a measure of the rate at which energy is transferred. It is commonly measured in watts (W) or kilowatts (kW). Power is the product of voltage (measured in volts) and current (measured in amperes) and can be calculated using the formula:
Power (P) = Voltage (V) x Current (I)
It can also be calculated by multiplying the work done per unit time.
For example, a lightbulb with a power rating of 100 watts consumes energy at a rate of 100 joules per second. If it is turned on for 10 seconds, it will have consumed 1000 joules of energy.
The amount of energy required to increase the temperature of 1.50 kg of water from 10.0°C to 50.0°C is:
(50.0 - 10.0) * 4186 J/kg/°C = 307600 J
The power of the heater is given by:
energy / time = 307600 J / (10.0 minutes * 60 seconds/minute) = 5127.67 W
To calculate the resistance, we can use the formula:
Power = Voltage² / Resistance
Therefore,
Resistance = Voltage² / Power
Resistance = (10 V) ² / 5127.67 W = 0.0039 ohms.
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