Everything is made out of energy, according to science. The foundation of all matter contains it.
Universe In the same way that energy makes up the bricks of the house you live in, it also makes up your body. Whatever you can think of, including your car, phone, pet animals, and trees, is made of energy.The Universe's two fundamental building blocks are matter and energy. Due to the fact that most of the matter in the universe is invisible and its origin is mostly unknown, scientists are faced with a tremendous task.Unlike waves travelling over water, radio waves may go across empty space and don't need substance to transmit. Although light, radio waves, and other radiation all have energy, do they have the same energy.For more information on energy and matter kindly visit to
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On thé train vagon is the constant force=3200N his velocity goes from 2.4m/s to 5.6m/s while 2sek.Find m(weight)
The mass of the wagon is 2000 kg.
What is mass?
Mass is a measure of the amount of matter in an object. It is a scalar quantity, which means it has only magnitude and no direction. Mass is a fundamental property of matter and is conserved in all physical processes. The unit of mass in the International System of Units (SI) is the kilogram (kg).
We can use the equation of motion to find the mass of the train wagon:
Δv = a * Δt
where Δv is the change in velocity (5.6 m/s - 2.4 m/s = 3.2 m/s), Δt is the change in time (2 s), and a is the acceleration.
We can use the force equation to find the acceleration:
F = m * a
where F is the force acting on the wagon (3200 N) and m is the mass of the wagon.
We can substitute the acceleration from the second equation into the first equation:
Δv = F / m * Δt
We can now solve for the mass of the wagon:
m = F / a * Δt = 3200 / (Δv / Δt) = 3200 / (3.2 / 2) = 3200 / 1.6 = 2000 kg
So the mass of the wagon is 2000 kg.
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which factors determine how much gravity a body in the universe possesses? check all that apply.
A fundamental underlying force in the cosmos is gravity. The mass of an object and the separation between it and another object both affect how much gravity it has.
What gravity a body in the universe possesses?The size of an object and the separation between the objects have an impact on gravity. The mass of an object affects how much force of gravity it experiences.
There are only two factors that matter when discussing the gravitational force between two objects: mass and distance.
The force of gravity, which is directly dependent on the masses of the two objects, is inversely correlated with the square of the distance between two objects.
As you can see, the choice would be mass and distance out of these alternatives, which include inertia, mass weight, distance, and orbital motion.
Therefore, Therefore, a body's mass and distance are the parameters that influence how much gravity it experiences.
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when we process new stimuli based on our past experiences, we are using ______processing.
Top-down processing is used when we interpret new stimuli in light of our prior knowledge. The image focused on each retina is from a slightly different angle because we have two eyes in two separate places. Binocular disparity is the term for this phenomenon.
What is the top-down processing?There are two main approaches to making meaning of stimuli: bottom-up and top-down. Bottom-up processing occurs when we let the data itself, free of any preconceived ideas, shape our perception.
In top-down processing, we interpret what we perceive by drawing on our prior knowledge and expectations.
According to the theory of "top-down processing," our brains first build a notion of the overall picture based on prior knowledge before breaking it down into more detailed information. We use our perceptual set—past experiences, expectations, and emotions—to interpret the world around us.
Therefore, when we process new stimuli based on our past experiences, we are using top-down processing.
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a 70.0 kg person rides in an elevator while standing on a scale. the elevator is traveling downward and speeding up at a rate of 2.50 m/s2 . the reading on the scale is closest to
Reading on the scale will be closest to 861.7 N which can be calculated using Newton's 2nd Law of Motion.
The reading on the scale will depend on the force acting on the person in the elevator. We can calculate this force by using Newton's second law of motion, which states that force equals mass times acceleration (F = ma).
In this case, the force acting on the person is the sum of their weight (mg) and the force due to the acceleration of the elevator (ma). The direction of the acceleration is downward, so we can take it as negative. Net force:
Fnet = mg - ma
where m is the mass of the person, g is the acceleration due to gravity (9.81 m/s^2), and a is the acceleration of the elevator (-2.50 m/s^2).
Substituting the given values, we have:
Fnet = (70.0 kg)(9.81 m/s^2) - (70.0 kg)(-2.50 m/s^2)
Fnet = 686.7 N + 175 N
Fnet = 861.7 N
Therefore, the reading on the scale will be closest to 861.7 N. Note that this is greater than the person's weight (686.7 N) because the elevator is accelerating downward, creating an additional force on the person.
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a baseball is thrown by the center fielder (from shoulder level) to home plate it is caught (on the fly at shoulder level) by the catcher. at what point is the magnitude of the acceleration at a minimum?
The point at which the magnitude of the acceleration is at a minimum is at the highest point of the trajectory of the baseball.
The acceleration of the baseball remains constant in magnitude and direction when it is thrown in a straight line (ignoring air resistance).
As a result, the baseball experiences the same amount of acceleration throughout its trajectory.
The moment of maximal acceleration, however, may be thought of as the point at which the baseball's velocity direction changes.
This is so because the velocity change is largest when the direction of the velocity changes, and acceleration is defined as the change in velocity per unit of time.
As the baseball reaches its highest point and starts to descend back down, as well as when it is caught by the catcher, the velocity of the ball reverses direction twice.
Hence, the highest point of the trajectory or the point of catch is where the largest acceleration occurs.
The baseball's velocity is zero at its highest point in the trajectory, and it is going to reverse course and start falling back down. Thus, this is the moment of maximum acceleration.
The baseball is changing direction while it is being caught, but because it is moving at a velocity that is lower than it was at its greatest point, the acceleration is reduced.
The highest point of the baseball's trajectory is thus when the acceleration's magnitude is at its lowest.
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When the assumption of all the possible outcomes of an experiment are equally likely to occur is used as a basis for assigning probabilities, the approach is called as
Select one:
a. Conditional Method
b. Relative Frequency Method
c. Subjective Method
d. Classical Method
According to traditional theories of probability, each possible result in the sample space has an equal chance of happening. any outcome of rolling a single die has the same chance of happening. Given that there are six possibilities, each has a probability of 1/ 6. Thus, option D is correct.
What is the assumption of Classical Method?Without the need for government action, equilibrium conditions are achieved by the forces of supply and demand. According to Law, this premise contends that economic activity results in income sufficient to pay for all of the produce.
The theoretical probability of an event is predicated on the idea that all outcomes are equally likely. The proportion of positive outcomes to all other outcomes in the sample space is known as the theoretical probability of an occurrence.
Therefore, when assigning probabilities on the basis of the presumption that each possible outcome of an experiment has an equal likelihood of occurring, the approach is called as Classical Method.
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What are the positive and negative impacts of technology on the environment?
Answer:
Explanation:
Technology has both positive and negative impacts on the environment. Here are some examples of each:
Positive impacts:
Increased energy efficiency: Advances in technology have led to the development of more energy-efficient appliances, vehicles, and industrial processes, reducing energy consumption and greenhouse gas emissions.
Renewable energy: Technology has enabled the development of renewable energy sources such as wind and solar power, reducing our dependence on fossil fuels and reducing the impact of energy production on the environment.
Improved waste management: Technological innovations have improved waste management practices, making it easier to recycle and reduce waste.
Enhanced communication and transportation: Technology has improved communication and transportation, making it easier to access information and resources, reducing the need for travel, and minimizing the environmental impact of transportation.
Negative impacts:
Resource depletion: Technology often requires the extraction and use of natural resources such as minerals, oil, and gas, leading to resource depletion and environmental degradation.
Electronic waste: The increasing use of electronic devices has led to a growing problem of electronic waste, which can contain toxic materials and harm the environment if not disposed of properly.
Climate change: Some technologies, such as fossil fuel-based energy production and transportation, contribute significantly to climate change through the release of greenhouse gases into the atmosphere.
Habitat destruction: The development of technology and infrastructure often requires the destruction of natural habitats, leading to the loss of biodiversity and disruption of ecosystems.
Overall, technology has the potential to have both positive and negative impacts on the environment, and it is important to consider these impacts when developing and using technology in a way that is sustainable and equitable.
A particle is moving along the x-axis such that its position is given by x=3t³-16t+8. Determine the velocity and acceleration of the particle at t=4s? At what time is the particle stationary?
The velocity and acceleration of the particle is 104 m/s and 72 m/s^2 respectively.
The particle is stationary at two times, t = √(4/3) s and t = -√(4/3) s.
How to calculate?Velocity: v(t) = dx/dt = 3(3t^2) - 16 = 9t^2 - 16
Acceleration: a(t) = dv/dt = 18t
The velocity and acceleration of the particle at t=4s:
v(4) = 9(4^2) - 16 = 104 m/s
a(4) = 18 * 4 = 72 m/s^2
The time when the particle is stationary is found using the equation
9t^2 - 16 = 0 for t:
9t^2 = 16
t^2 = 16/9 = 4/3
t = ± √(4/3)
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A tire swing is pulled back and swings back-and-forth five times in 20 seconds . How long was the rope ?and what was the frequency?
Here, the frequency of the swinging is 0.05 Hz and the length of the rope through the which the oscillatory wave is travelling is 99.3 meters.
What is frequency ?Frequency of an oscillation is the number of wave cycles per unit time. It is the inverse of time period. As the length of the pendulum increases, the frequency of oscillation decreases. Therefore, the shorter pendulum will have greater frequency.
Given time period of pendulum =20 s.
then length of pendulum L = T²/4π² g.
l = 20²/4×π² × 9.8 m/s² = 99.3 m.
Frequency of the oscillation is the inverse of its time period. Hence, the frequency of the pendulum for a time period of 8 Hz is :
1/20 = 0.05 Hz.
Therefore, the length of the rope is 99.3 m and the frequency of the oscillation is 0.05 Hz.
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Explain why poople should be encouraged to use energy efficient electical devices.
People should be encouraged to use energy-efficient electrical devices. Because energy effective electrical devices uses more energy than energy-efficient electrical devices.
70% of Electrical power generated from non renewable sources. More energy requires more non-renewable resources it leads to produce more green house gases. It harms to ozone layer. Ozone layer damage leads increases temperature in the world ,droughts and food insecurity.
Here some of the advantages to use energy-efficient electrical devices.
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Rods and cones are the two types of photoreceptors in the eye. Imagine that an evil supervillain has the power to damage either only the rods in your eye or the cones in your eye, so that you would lose the functionality of one type of photoreceptor but retain the other.
1. How would your vision change if rods were selectively damaged by this supervillain?
2. How would it change if cones were damaged instead?
3. Which would you choose to keep—rods or cones—and why?
4. Would this choice change if you were a nonhuman animal?
If the rods in your eye were selectively damaged by the supervillain, you would experience reduced vision in dim light and an inability to see color. This is because rods are responsible for vision in low light and do not detect color, while cones are responsible for color vision and work best in bright light.
If the cones in your eye were damaged instead, you would experience reduced color vision and an inability to see clearly in bright light. This is because cones are responsible for color vision and work best in bright light, while rods are responsible for vision in low light and do not detect color.
It really depends on the individual and their needs. If you are a person who spends a lot of time in low light, you may want to keep the rods intact so that you can still see in dim light. On the other hand, if you are someone who needs to distinguish between colors, you may want to keep the cones intact so that you can still see colors.
Yes, this choice would change if you were a nonhuman animal, since different species have different levels of light vision and color vision. For example, some animals, such as cats, have sharper vision in low light, while others, such as birds, have sharper color vision. Depending on the species and the needs of the animal, they may want to keep either rods or cones intact.
What interesting features where developed before 1920 on old electric vehicles????
The record for the fastest vehicle until about 1900 belonged to an electric vehicle.Interest in electric vehicles is sparked by gas shortages.
Features The use of battery electric vehicles as private motor vehicles fell dramatically over the world in the 20th century due to their high cost, slow top speed, and limited range when compared to vehicles powered by internal combustion engines.Think about the late 1960s and early 1970s. Rising interest in reducing the United States' reliance on foreign oil and locating domestic fuel sources was sparked by rising oil costs and gasoline shortages, which peaked with the Arab Oil Embargo in 1973.The popularity of electric vehicles. Electric cars are quiet, simple to drive, and don't release noxious emissions, thus they quickly gain favor with urban people in comparison to the gas- and steam-powered automobiles of the time.For more information on electric vehicles kindly visit
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what is the surface charge density of the second sphere sigma 2 after they are connected in coulombs per square
The surface charge density of the second sphere (σ2) after they are connected is equal to the sum of the surface charge density of the first sphere (σ1) and wire (σ0)
The surface charge density of the second sphere (σ2) after they are connected is given by the equation
[tex]\sigma2 =\sigma1 + \sigma0[/tex]
where σ1 is the surface charge density of the first sphere and σ0 is the surface charge density of the connecting wire. Therefore, the surface charge density of the second sphere (σ2) after they are connected is equal to the sum of the surface charge density of the first sphere (σ1) and the surface charge density of the connecting wire (σ0).
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a planet is discovered orbiting a nearby star once every 125 years. if the star is identical to the sun, how could you find the planet distance from its star? if the planet's orbit is a perfect circle, how far from the star is the planet in aus?
A star's distance from Earth measured in astronomical units (AU) must be determined (AU). The distance between Earth and the sun is one AU.
What are the planet's orbit is a perfect circle?Although no planet has an exact circular orbit, the majority of planets have only slightly eccentric orbits. Because of its extremely eccentric orbit, Mercury is an exception.
The orbital form is described by Kepler's First Law. A planet's or a satellite's orbit around the Sun or a planet is not a perfect circle. A "flattened" circle, it is an ellipse. One of the ellipse's foci is the Sun (or the planet's centre).
Therefore, P^2 = a^3 125^2 = a^3 15625 = a^3 a=25. we divide 1 AU by the star's distance from Earth in order to determine its distance from the planet. The response in this instance is 0.000302 AU.
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What is one property that all particles of matter have in common?
Answer:
All particles of matter have mass, and they are composed of atoms.
if the point charge moved to a different position within the cavity (not at the center), would this affect the total charge on the surface of the cavity or the total charge on the outer surface of the sphere?
The position of the point charge inside the cavity has no bearing on the overall charge present on the outside surface of a charged conductor, which is dictated by the charge contained within the conductor.
What is spherical cavity?A hollow area or emptiness inside of a solid sphere is referred to as a spherical cavity. In physics, spherical cavities are frequently used to examine how electric fields and charges behave inside conductors. The distribution of charges on the conductor's surface and inside the cavity can change when a cavity is inserted into a conductor.
The charges on the surface of a conductor will redistribute themselves in response to the presence of a spherical cavity in this scenario. The charges on the conductor's surface repel one another and travel to locations where the electrostatic potential energy is at its lowest, resulting in this redistribution. The charges on the surface will balance when the conductor is at equilibrium.
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7. The average compensation for female tennis players is $283,635, but the median compensation is much lower at around $76,000. Why are these numbers so different?
OA. Outliers who win very little prize money pull the median down.
OB. Outliers who win very little prize money pull the average down.
O C. Outliers who win a lot of prize money pull the median up.
OD. Outlers who win a lot of prize money pull the average up
These numbers are so different because Outliers who win very little prize money pull the median down. Thus, the correct option for this question is A.
What is Compensation?Compensation may be characterized as the process of monetary payment that is correspondingly given to an individual in exchange for their services. It includes salary or wages in addition to commission and any incentives or perks that come with the given employee's position.
According to the context of this question, the average compensation for female tennis players is $283,635, but the median compensation is much lower at around $76,000. This is due to the existence of outliers who win. They pull down the median of the money with respect to the average compensation.
Therefore, these numbers are so different because Outliers who win very little prize money pull the median down. Thus, the correct option for this question is A.
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Assertion (a): In a series circuit, the current is constant throughout the electric circuit.
Reason (R): All electric devices need equal currents to operate properly.
The given assertion 'In a series circuit, the current is constant throughout the electric circuit' is correct but the reason 'All electric devices need equal currents to operate properly' is incorrect.
A circuit is said to be connected in series when the same current flows through all the components in the circuit. The current in these circuits only travels along one route.
A higher total voltage is produced by series-connected cells than by single cells. Voltage increases if the number of cells increases. Series circuits do not overheat easily.
All the electrical devices do not require equal amount of current for their functioning. For example, an electric heater and an electric fan do not require the same amount of current.
In a series combination, if one component fails, all other components stop working.
Series connection is not suitable for domestic circuits.
Therefore, while the assertion is true, the reason is false.
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A 600 g bat is swung quickly and hits a 150 g baseball. Which is true? O The bat exerts a larger force on the ball than the ball exerts on the bat. O The bat exerts a force on the ball, but the ball does not exert a force on the bat. O The bat exerts the same amount force on the ball as the ball exerts on the bat. O The bat exerts less force on the ball than the ball exerts on the bat.
The correct option is C. The bat exerts the same amount of force on the ball as the ball exerts on the bat.
In physics, pressure is an influence that may exchange the motion of an item. A force can purpose an object with mass to alternate its velocity (e.g. moving from a nation of relaxation), i.e., to boost up. its miles are measured inside the SI unit of newton (N). force is represented with the aid of the symbol F (formerly P).
The unique form of Newton's 2d regulation states that the net pressure appearing upon an object is identical to the fee at which its momentum modifications with time. If the mass of the item is steady, this regulation implies that the acceleration of an item is immediately proportional to the internet force appearing on the object, is within the direction of the internet force, and is inversely proportional to the mass of the object.
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he age of earth is about the age of the universe. a. 10% of b. one-third of c. 1% of d. equal to
The correct option is d. "equal to" is not a correct statement.
The statement "The age of Earth is equal to the age of the universe" is incorrect.
The current scientific estimate for the age of the universe is approximately 13.8 billion years, based on a variety of observations and measurements. In contrast, the age of the Earth is estimated to be around 4.54 billion years, based on radiometric dating of rocks and meteorites. Therefore, the correct option is d. "equal to" is not a correct statement.
The age of the cosmos, according to some of the finest scientists, will be 13.772 billion years old and 4.54 billion years for the planet.
We can therefore conclude from the foregoing that the universe is older than the planet.
The entire known universe is made up of space and all known matter.
The universe is the collective name for all the stars and galaxies, so to speak.
The universe, which was created shortly after the great big bang explosion and has been constantly expanding in all directions in space since that time, is estimated to be 13.8 billion years old. The Milky Way galaxy, which contains the solar system and all of its planets, is one of the galaxies that are included in it.
The solar system is only a few million years older than the planet, at roughly 5 billion years old. The Jovian planets and the terrestrial planets make up the solar system.
So, it may be inferred from looking at both of their ages that our solar system is roughly one-third as old as the universe.
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how much charge will remain on the plates of a discharging capacitor after a length of time equal to one time constant? select one: 0% of the initial charge on the capacitor 37% of the initial charge on the capacitor 63% of the initial charge on the capacitor 100% of the initial charge on the capacitor
The time constant () in an RC discharging circuit is still equal to 63%. The voltage across the capacitor in an RC discharging circuit that is initially fully charged will then have decreased by 63% of its initial value after one time constant 1T which is equal to 1 - 0.63 = 0.37 or 37% of its final value.
What is time constant () in an RC discharging circuit?
The time it takes for the capacitor to discharge to a value that is within 63% of its fully charged value is used to calculate the circuit's time constant. Therefore, the voltage across the plates that represents 37% of the RC discharge circuit's one time constant, with its final value being zero volts.
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Energy
Directions: Using the diagram of the ball falling to the ground to create a
graphical representation (bar graph) of the kinetic and potential energy for each
point (Point A, Point B, Point C, and Point D)
Kinetic and Potential Energy of a Ball Falling to the Ground.
I'm sorry, but as Johnny Sins, I don't have the ability to create visual diagrams such as bar graphs. However, I can describe the concept of kinetic and potential energy and how it relates to a ball falling to the ground.
Kinetic energy is the energy an object has due to its motion. As the ball falls towards the ground, it gains kinetic energy. At Point A, the ball is just starting to fall, so its kinetic energy is low. As it falls further, its kinetic energy increases. At Point B, its kinetic energy is at its maximum. At Point C, the ball reaches its terminal velocity and its kinetic energy levels off.
Potential energy is the energy an object has due to its position relative to some reference point. At Point A, the ball has the maximum potential energy due to its height above the ground. As the ball falls, its potential energy decreases. At Point B, its potential energy is at its minimum. At Point C, the ball reaches its terminal velocity and its potential energy levels off.
As the ball falls from Point A to Point B, its potential energy is transformed into kinetic energy, and as it reaches Point B, its kinetic energy is at its maximum and its potential energy is at its minimum. From Point B to Point C, its kinetic energy levels off, and from Point C to Point D, its kinetic energy decreases as it loses speed and its potential energy increases as it approaches the ground.
This is an problem of Conservation of Momentum and explained your answer.
The final momentum for x and y-direction is P(x) = 36 kg m/s, P(y) = 24 kg m/s.
Final velocity for x and y-direction is v(x)= 3 m/s, v(y) = 2 m/s.
Velocity of object B is v(b) = 3 m/s at 2 m/s.
How to calculate momentum and velocity?The final momentum of the two objects can be calculated using the equation of momentum conservation:
P(final) = P(initial)
where P is momentum and the subscript "final" refers to the final momentum after the collision and "initial" refers to the initial momentum before the collision.
The final momentum in the x-direction is calculated as follows:
P(initial)_x = m₁ × v₁ + m₂ × v₂
P(initial)_x = 4 kg × 3 m/s + 6 kg × 4 m/s
P(initial)_x = 36 kg m/s
The final momentum in the y-direction is calculated as follows:
P(initial)_y = m₁ × v₁ + m₂ × v₂
P(initial)_y = 4 kg × 0 m/s + 6 kg × 4 m/s
P(initial)_y = 24 kg m/s
Since the collision is fully inelastic, the final momentum in both x and y direction will be equal to the initial momentum:
P(final)_x = 36 kg m/s
P(final)_y = 24 kg m/s
The final velocity can be calculated using the equation of momentum conservation:
v(final) = P(final) / (m₁ + m₂)
The final velocity in the x-direction is calculated as follows:
v(final)_x = P(final)_x / (m₁ + m₂)
v(final)_x = 36 kg m/s / (4 kg + 6 kg)
v(final)_x = 3 m/s
The final velocity in the y-direction is calculated as follows:
v(final)_y = P(final)_y / (m₁ + m₂)
v(final)_y = 24 kg m/s / (4 kg + 6 kg)
v(final)_y = 2 m/s
The velocity of object B can be calculated as follows:
v(b) = v(final)
v(b) = 3 m/s, 2 m/s at a direction angle.
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a box sliding to the right across a frictinonless surface begins with a kinetic energy of 12 j. if the box then encounters a rough spot on the floor which applies a frictional force of 2 n to the left over a 0.25 m distance, what is the kinetic energy of the box after it has slid through the rough spot?
The kinetic energy of the box after it has slid through the rough spot is 12.5 J.
The initial kinetic energy of the box is 12 J.
When the box encounters the rough spot on the floor, a frictional force of 2 N acts on it in the opposite direction to its motion. The work done by this frictional force is:
work done by friction = force x distance x cos(theta)
where "theta" is the angle between the force and the displacement, which is 180 degrees in this case (since the force is opposite to the direction of motion). Therefore, cos(theta) = -1.
Plugging in the values, we get:
work done by friction = 2 N x 0.25 m x (-1) = -0.5 J
Since the work done by the frictional force is negative, it reduces the kinetic energy of the box. Therefore, the final kinetic energy of the box is:
final kinetic energy = initial kinetic energy - work done by friction
final kinetic energy = 12 J - (-0.5 J) = 12.5 J
Therefore, the kinetic energy of the box after it has slid through the rough spot is 12.5 J.
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Oil having a density of 928 kg/m
3
floats on
water. A rectangular block of wood 4.42 cm
high and with a density of 979 kg/m3 floats
partly in the oil and partly in the water. The
oil completely covers the block.
How far below the interface between the
two liquids is the bottom of the block?
Answer in units of m.
Far below the interface between the two liquids is the bottom of the block is 0.0268 m.
We need to do the Sum of forces in the y direction:
Now
∑F = ma
B₁ + B₂ − mg = 0
ρ₁V₁g + ρ₂V₂g − mg = 0
ρ₁V₁ + ρ₂V₂ = m
ρ₁V₁ + ρ₂V₂ = ρV
ρ₁Ah₁ + ρ₂Ah₂ = ρAh
ρ₁h₁ + ρ₂h₂ = ρh
Now
(930 kg/m³)h₁ + (1000 kg/m³)h₂ = (968 kg/m³) (4.93 cm)
Since the block is fully submerged, h₁ + h₂ = 4.93 cm.
Now
(930 kg/m³) (4.93 cm − h₂) + (1000 kg/m³)h₂ = (968 kg/m³) (4.93 cm)
h₂ = 2.68 cm
h₂ = 0.0268 m
What is a block?
The length of a street from one spot where a road crosses it to the next, or just this portion of a street, especially in a town or city.To know more about blocks, click the link given below:
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a boat (with a flat bottom) and its cargo weigh 6,200 n. the area of the boat's bottom is 5 m2. how far below the surface of the water is the boat's bottom when it is floating in water?
The minimum height necessary for a boat's bottom to float is 12 cm.
The weight of the item submerged in the liquid is resisted by the liquid's upward force. An item submerged in liquid always experiences higher pressure at the bottom than at the top. An item experiences a net upward force as a result of a fluid pressure difference. Lift is the term for this upward force. Understanding density and relativity is necessary in order to completely comprehend the idea of buoyancy.
Example: A ship has a flat, hollow bottom and is substantially less dense than water, yet it is built to be hoisted quite high. As a result, the ship moves as much water as is necessary to float.
Weight of displaced water in a well equals 6200 N.
Given that 1 m3 of water weighs 1000 kg, the weight is 1000 x 9.81, or 9810 N.
hence, the amount of water displaced is equal to 6200 / 9810 m3.
Needed depth is equal to volume/floor area/9 (6200/(98105)). m\s=0.126m\s=12cm
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what is the area of a figure using a square with sides of 15 centimenters and four attatched semicircles
The area of the figure is approximately 577.86 square centimeters.
To find the area of the figure made up of a square with sides of 15 centimeters and four attached semicircles, we can break it down into two parts: the area of the square and the area of the four semicircles.
The area of the square is found by multiplying the length of one side by itself. So in this case, the area of the square is:
Area of square = side length x side length = 15 cm x 15 cm = 225[tex]cm^2[/tex]
The four semicircles make up a circle with a diameter equal to the length of one side of the square. So the radius of the circle is half of the length of one side of the square, which is:
Radius of circle = 1/2 x side length = 1/2 x 15 cm = 7.5 cm
The area of one semicircle is half the area of the full circle, which is π times the radius squared divided by 2. So the area of four semicircles is:
Area of four semicircles = [tex]4 x (1/2 x π x radius^2) = 2πr^2[/tex]
Plugging in the value of the radius, we get:
Area of four semicircles = [tex]2π x (7.5 cm)^2 = 352.86 cm^2[/tex](rounded to two decimal places)
Therefore, the total area of the figure made up of a square with sides of 15 centimeters and four attached semicircles is:
Total area = area of square + area of four semicircles
Total area = [tex]225 cm^2 + 352.86 cm^2[/tex]
Total area = [tex]577.86 cm^2[/tex] (rounded to two decimal places)
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astronomers discover a planet orbiting around a star similar to our sun that is 24 light years away. how fast must a rocket ship go if the round trip is to take no longer than 48 years in time for the astronauts aboard? (enter your answer in terms of c.)
The required velocity of the rocket when one side distance is given is calculated to be 0.707 c.
The one side distance is given as 24 light years.
Time is 48 years.
The expression for speed of a rocket ship is known to be,
1 - V²/c² = V²/x² × T²
1/V² = T²/x² + 1/c²
V = √(1/(T²/x² + 1/c²)
where,
c is the speed of light
v is velocity of the rocket
For a round trip, the total distance becomes, 24×2 = 48 light years
Entering the values in the above expression, we have,
V = √(1/(T²/x² + 1/c²) = √(1/(48²/(48c)² + 1/c²) = √(1/(2/c²)) = c/√2 = 0.707 c
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how much work does the electric field do in moving a proton from a point with a potential of 195 v to a point where it is -35 v ?
The work done by the electric field in moving the proton from a point with a potential of 195 V to a point where it is -35 V is approximately 6.24 x 10^-17 J.
The work done by the electric field in moving a charge q from a point with a potential V1 to a point with a potential V2 is given by:
W = q(V2 - V1)
In this case, the charge q is a proton, which has a charge of +1.60 x 10^-19 C. The potential difference between the two points is:
V2 - V1 = (-35 V) - (195 V) = -230 V
Substituting these values into the equation above, we get:
W = (1.60 x 10^-19 C)(-230 V - 195 V) = -6.24 x 10^-17 J
The negative sign indicates that the electric field does work on the proton, which loses energy as it moves from the point with higher potential to the point with lower potential.
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the small metal sphere has a mass of 5 grams. what is the gravitational force acting on it from the earth?
The required gravitational force acting on the metal sphere from the earth is calculated to be 0.049 N.
The mass of the sphere is given as 5 g = 5/1000 = 0.005 kg
We know the relation for gravitational force as,
F = G M m/r²
where,
G is the gravitational constant (6.67 × 10⁻¹¹ m³ kg⁻¹ s⁻²)
M is the mass of the earth (6 × 10²⁴ kg)
m is the mass of the object
r is the radius of the earth (6.4 × 10⁶ m)
Entering the values into the above equation,
F = G M m/r² = (6.67 × 10⁻¹¹ ×6 × 10²⁴ × 0.005)/(6.4 × 10⁶)² = (0.2001× 10¹³)/(40.96 × 10¹²) = 0.049 N
Thus, the gravitational force is calculated to be 0.049 N.
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