Centripetal force = (69 kg) × (152.875 m/s²)centripetal force = 10585.875 NNow, the horizontal force on the skater is equal to the centripetal force experienced by the skater. Therefore, the horizontal force on the skater is 10585.875 N.
Given data: Speed of the skater = 11 m/sMass of the skater = 69 kgRadius of the semicircle = 16/2 = 8 mThe force experienced by the skater while taking the turn can be calculated by finding the centripetal force acting on the skater. The centripetal force can be calculated by the following formula: centripetal force = mass × acceleration centripetal acceleration can be calculated using the formula:v²/rWhere:v = speed of the skater = radius of the semicirclePutting the values:v²/r = (11 m/s)²/8 mv²/r = 152.875 m/s²Now, substituting the values in the formula of the centripetal force, we get: centripetal force = (69 kg) × (152.875 m/s²)centripetal force = 10585.875 NNow, the horizontal force on the skater is equal to the centripetal force experienced by the skater. Therefore, the horizontal force on the skater is 10585.875 N.
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If a force of 3000 N can move a crate at an acceleration of 9.2 m/s2, what is the mass of the object?
Answer:
326 kg
Explanation:
m=f/a
3000/9.2=326 kg
A substance that heats up relatively quickly has a low specific heat capacity. Select one: O True O False
As the given statement is False. As a substance that heats up relatively quickly must has a high specific heat capacity.
What is specific heat capacity?A physical property of matter is specific heat capacity. The quantity of heat energy required to raise a substance's temperature per unit of mass is known as the specific heat capacity. It serves as an illustration of a large property. Since the scale of the system under study directly affects it. Therefore, it is the amount of heat absorbed by the substance per unit mass when its temperature is elevated. Specific Heat Capacity is measured in J/(kg K) or J/(kg °C) units.
As heating is quick when the substance have high specific heat capacity and the heating will be slow when the substance have less specific heat capacity.
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How can you determine where the wavelength released from a transition will fall in the electromagnetic spectrum?
You can change the wavelength into scientific notation and the electromagnetic spectrum will then tell you where it falls.
In physics, the wavelength is the spatial period of a periodic wave—the space over which the wave's shape repeats. It's miles the distance among consecutive corresponding points of the same section on the wave, together with two adjacent crests, troughs, or zero crossings, and is a function of each traveling wave and status wave, in addition to other spatial wave styles.
The inverse of the wavelength is referred to as the spatial frequency. Wavelength is normally designated through the Greek letter lambda (λ). The time period wavelength is also every now and then implemented to modulated waves, and to the sinusoidal envelopes of modulated waves or waves formed via interference of numerous sinusoids.
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Laura is riding her bike at a speed of 15 m/s when she spots a dog in his path. If she needs to come to a full stop in 3 seconds what must her deceleration be?
The deceleration of Laura is obtained as - 5m/s^2.
What is the deceleration?We know that the deceleration would have to be the rate of the decrease in the speed of the object with time. We would use the formula for the acceleration to be able to obtain the deceleration of the object as follows;
a = v - u/t
a = deceleration
v = final velocity
u = initial velocity
t = time taken
Then;
a = 0 - 15/3
a = - 5m/s^2
Thus she would have a deceleration of - 5m/s^2 from the calculation that we have done above.
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as a flame grows hotter what color does it change to
Answer:
It changes from Red to Blue
Blue wavelengths are shorter and more energetic than Red wavelengths.
Visible light ranges from about 400 mu to about 700 mu.
400 millimicrons is in the blue end of the spectrum
700 millimicrons is in the red end of the spectrum
A 100 kg student eats a 200 Calorie doughnut. To "burn it off," he decides to climb the steps of a tall building. How high would he have to climb to expend an equivalent amount of work?
Answer: 853.88m
Explanation:
The 200 calorie donut is really 200 kilocalories or 200000 calories. Each calorie is 4.184 Joules. Therefore, the amount of energy the donut gives the student is 836800 Joules. In order to find the height (displacement) the student would have to climb, use W=Fd or work = force*displacement. We know the work and we can find the force easily with mg. 100kg*9.8m/s^2 = 980N. d = W/F. Therefore, d = 836800J/980N, or 853.88m.
Let's say you want to start a fire using a mirror to focus sunlight. What would you do A) use a plane mirror. B) use a convex mirror , with the object to be ignited positioned at the center of curvature of the mirror. C) use a concave mirror, with the object to be ignited positioned at the center of curvature of the mirror. D) use a concave mirror, with the object to be ignited positioned halfway between the mirror and its center of curvature.
Answer:
A concave mirror is used.
Explanation:
start a fire using a mirror to focus sunlight.
A concave mirror is used as a light concentrator.
When the object is placed at the infinity, the image is formed at focus.
So, the light is focused at the focus and thus the fire is started.
Help physics questions please
It should be noted that to find the potential difference across the combination of batteries used to power the flashlight, you need to know the voltage of each battery and how they are connected.
How the explain rye potential differenceIf the batteries are connected in series, you can add up their voltages to find the total voltage. For example, if there are two batteries with a voltage of 1.5 V each, the total voltage across the combination would be 3.0 V (1.5 V + 1.5 V). However, if the batteries are connected in parallel, the voltage across the combination would be the same as the voltage of a single battery.
The electrical energy supplied to a string of decorative lights is dissipated in several forms. One form is heat energy, which is produced by the resistance of the wires in the lights. Another form is light energy, which is emitted by the bulbs themselves. Additionally, some energy may be dissipated as sound energy, especially if the lights include features like bells or chimes. Finally, a small amount of energy may be lost as electromagnetic radiation, which can be emitted by the wires or other components in the lights.
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Describe your observations about the mid-ocean ridge. What did it look like? How do you think it got there?
(subject science)
Giving Brainliest
Scarlett and Hunter Johansson are working
together to push a block of mass 27 kg across
the floor. Each provides a force of magnitude
277 N but the directions of the forces differ as
indicated in the diagram. The coefficient of
friction is 0.24.
The acceleration of gravity is 9.81.
What is the magnitude of the resulting acceleration?
Scarlett and Hunter Johansson are working together to push a block of mass 27 kg across the floor, then the magnitude of the resulting acceleration is 15.6 m/s².
Force is responsible for the motion of an object. it produces acceleration in the body. According to newton's second law force is mass times acceleration i.e. F =ma. Its SI unit is N which is equivalent to kg.m/s². There are two types of forces, balanced force and unbalanced force.
In this problem the diagram is not given, Consider the diagram in which two forces are equal but there is 60° of angle between them.
The resultant force between them is
F² = F₁² + F₂² + 2F₁F₂cosθ
F² = 277² + 277² + 2×277²cos60
F(r) = 479.7 N
This resultant force,
frictional force F(f) = μmg
F(f) = 0.24 × 24kg × 9.8
F(f) = 56.4 N
The actual force acting on the block is
F = F(r) - F(f)
F = 479.7 N - 56.4 N
F = 423.3 N
the acceleration of the block is,
a = F/m = 423.3 N/27 kg
a = 15.6 m/s²
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A ball is shot at an angle of 45 degrees into the air with initial velocity of 41 ft/sec. Assuming no air resistance, how high doss it go? How far away does it land? Hint: The acceleration due to gravity is 32ft per second squared. A particle is moving with acceleration a(t)=24t+16. its position at time t=0 is s(0)=12 and its velocity at time t=0 is v(0)=15. What is its position at time t=14 ? Find the average value of f(x)= x³8 +9x on the interval [1,2].
The ball reaches a maximum height of approximately 42.83 ft. the ball lands at a horizontal distance of approximately 81.36 ft. he average value of f(x)= x³8 +9x on the interval is 10.5.
To determine the maximum height and horizontal distance traveled by the ball shot at an angle of 45 degrees with an initial velocity of 41 ft/sec and neglecting air resistance, we can use basic kinematic equations.
Maximum Height:
The maximum height reached by the ball can be calculated using the equation for vertical displacement:
y_max = (v₀² * sin²θ) / (2g),
where v₀ is the initial velocity, θ is the launch angle (45 degrees), and g is the acceleration due to gravity (32 ft/s²).
Plugging in the values, we get:
y_max = (41² * sin²45°) / (2 * 32) = 42.83 ft.
Therefore, the ball reaches a maximum height of approximately 42.83 ft.
Horizontal Distance:
The horizontal distance traveled by the ball can be calculated using the equation for horizontal displacement:
x = v₀ * cosθ * t,
where x is the horizontal distance and t is the time of flight.
Since the ball goes up and then comes back down, the total time of flight can be calculated as:
t_total = 2 * (v₀ * sinθ) / g.
Plugging in the values, we get:
t_total = 2 * (41 * sin45°) / 32 ≈ 2.88 s.
Using this total time, we can find the horizontal distance:
x = 41 * cos45° * 2.88 ≈ 81.36 ft.
Therefore, the ball lands at a horizontal distance of approximately 81.36 ft.
Moving on to the second question:
To find the position of a particle at time t = 14, given its acceleration, initial position, and initial velocity, we can use the equations of motion.
The position function s(t) can be obtained by integrating the acceleration function twice with respect to time. Since the given acceleration is a linear function, we have:
s(t) = (1/6)at³ + (1/2)v₀t² + s₀,
where a is the acceleration, v₀ is the initial velocity, and s₀ is the initial position.
Plugging in the given values, we get:
s(14) = (1/6)(24)(14)³ + (1/2)(15)(14)² + 12 ≈ 546.67.
Therefore, the position of the particle at time t = 14 is approximately 546.67.
Lastly, for the average value of f(x) = x³ + 9x on the interval [1, 2], we can use the formula for the average value of a function on an interval:
Average value = (1 / (b - a)) * ∫[a, b] f(x) dx,
where [a, b] represents the interval.
Plugging in the values, we have:
Average value = (1 / (2 - 1)) * ∫[1, 2] (x³ + 9x) dx.
Evaluating the integral, we get:
Average value = (1 / 1) * [(1/4)x⁴ + (9/2)x²] evaluated from 1 to 2,
Average value = (1/4)(2⁴ + 9(2²)) - (1/4)(1⁴ + 9(1²)),
Average value = (1/4)(16 + 36) - (1/4)(1 + 9),
Average value = (1/4)(52) - (1/4)(10),
Average value = 13 - 2.5,
Average value ≈ 10.5
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What effect does the pendulum have on the time period if the length of string increases
Answer:
If the length of the pendulum string increases, the period of time increases
Explanation:
The period of a simple pendulum is directly proportional to the square root of length of the pendulum
5) mr/mas also depends on generator type; high frequency and cpg generators tend to have higher mr/mas than 3 phase 6 pulse and 12 pulse generators. single phase generators have much less than three phase. why?
The answer to why single-phase generators have much less mr/mas than three-phase generators lies in the difference in the generator's design and operation.
Number of phases: Three-phase generators have three sets of windings and produce a rotating magnetic field, which leads to a more balanced power output. In contrast, single-phase generators have only one set of windings, resulting in a less balanced power output.
Power delivery: Three-phase generators provide power continuously throughout each cycle, whereas single-phase generators provide power only during one-half of each cycle. This intermittent power delivery results in a lower mr/mas for single-phase generators.
Power quality: Three-phase generators produce power with a higher quality, including better voltage regulation and lower harmonic distortion. This leads to a higher mr/mas compared to single-phase generators, which may experience more voltage fluctuations and harmonics.
Load distribution: Three-phase systems allow for a more balanced distribution of loads across the three phases, reducing the strain on each individual phase. In contrast, single-phase systems often experience unbalanced loads, leading to higher stresses and lower mr/mas.
In conclusion, the design and operation differences between single-phase and three-phase generators result in single-phase generators having much less mr/mas than three-phase generators. The multi-phase nature of three-phase generators allows for a more balanced power output, better power quality, and improved load distribution, contributing to their higher mr/mas values.
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A circuit is built based on the circuit diagram shown. What is the current in the 50 Ω resistor
Answer:
1.2 A
Explanation:
From the diagram attached, The three resistors are parallel because the each ends of the resistors are connected together. Since they are in parallel, the voltage across each resistor is the same. The voltage source connected in parallel to the resistors is 60 V. Therefore the voltage across the 50 Ω resistor is 60 V. Using ohm law:
Voltage (V) = Current (I) × Resistance (R)
V = IR
I = V/R
I = 60 V/ 50 Ω
I = 1.2 A
The current in the 50 Ω resistor is 1.2 A
Apply the angle sum and difference identities on Eqs. (1) and (2) and derive Eq. (5), which is y_+(x, t) + y_(x, t) = 2A cos(2pi ft) sin(2pi/lambda x). y_+(x, t) = A sin(2pi/lambda x - 2pi ft). Equation (1) shows that (i) any given point of the string (at fixed x) oscillates up and down with frequency f, and (ii) at any given time t, the shape of the string is a sinusoidal curve with wavelength lambda. The frequency is the number of oscillation cycles per second. The wavelength is the shortest length over which the pattern repeats. Here we use a subscript "+" to denote a wave propagating toward positive x direction. A wave toward negative x direction is written as y_(x, t) = A sin (2pi/lambda x + 2pi ft).
The application of angle sum and difference identities on equations (1) and (2) leads us to equation (5), providing insights into the oscillatory and spatial characteristics of the string's wave behavior.
By applying the angle sum and difference identities to equations (1) and (2), we can derive equation (5), which states that y_+(x, t) + y_(x, t) = 2A cos(2πft) sin(2π/λx), where y_+(x, t) = A sin(2π/λx - 2πft). Equation (1) reveals two key characteristics of the string's behavior: (i) at a fixed position x, the string oscillates up and down with a frequency f, and (ii) at any given time t, the shape of the string forms a sinusoidal curve with a wavelength λ. The frequency represents the number of oscillation cycles per second, while the wavelength is the shortest distance over which the pattern repeats. To differentiate waves propagating in opposite x directions, we use the subscript "+" to denote a wave moving toward the positive x direction, whereas a wave toward the negative x direction is expressed as y_(x, t) = A sin(2π/λx + 2πft).
The angle sum and difference identities play a crucial role in deriving equation (5). By adding y_+(x, t) and y_(x, t), we obtain the sum of the two sinusoidal functions. The angle sum identity allows us to simplify the expression to 2A cos(2πft) sin(2π/λx). This result demonstrates the combined effect of two waves propagating in opposite directions on the string. The cosine term represents the constructive or destructive interference of the waves, while the sine term reflects the spatial variation along the x-axis. The resulting equation (5) encapsulates the behavior of the string under the influence of these wave components.
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200 meters in 20 seconds
The speed of the object is 10 meters/second.
Speed is defined as the rate at which an object covers distance. It is a scalar quantity, which means that it only has a magnitude (i.e., size) and no direction. The SI unit for speed is meters per second (m/s).
To calculate speed, we need to know the distance traveled and the time it took to cover that distance. In this case, we were given that the object traveled 200 meters and took 20 seconds to do so. We then used the formula:
speed = distance / time
To calculate the speed of the object. We divided the distance traveled by the time it took to travel that distance to find the speed.
Substituting the given values into the formula, we get:
speed = 200 meters / 20 seconds
This simplifies to:
speed = 10 meters/second
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Walter Cannon criticized the James-Lange theory on multiple points. Which one of the following is one of those criticisms?
Explanation:
Walter Cannon challenged the James-Lange theory, criticizing it on several grounds. Which of the following is one of those criticisms? Cannon pointed out that bodily reactions are similar for many emotions, yet our subjective experience of various emotions is very different.
A battery is connected to a resistor. Increasing the resistance of the resistor will __________. decrease the current in the circuit not affect the current in the circuit increase the current in the circuit
A battery is connected to a resistor. When increasing the resistance of the resistor, the current in the circuit will decrease. Ohm's law states that voltage is directly proportional to current, while the resistance is inversely proportional to current.
This is given by the formula V=IR, where V is voltage, I is current, and R is resistance. If the resistance is increased, the current will decrease, given that voltage remains constant. The power loss in the circuit will also increase due to the decrease in current and the increase in resistance. This can cause the circuit to heat up, which can damage the components in it.
Increasing the resistance will cause the current to decrease due to the resistance of the resistor, which limits the flow of current in the circuit. By increasing the resistance, it becomes more difficult for the current to pass through the circuit, causing the voltage to drop across the resistor.
Therefore, the current in the circuit decreases as the resistance of the resistor increases.
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An ideal gas at temperature To is slowly compressed at constant pressure of 2 atm from a volume of 10 liters to a volume of 2 liters. Then the volume of the gas is held constant while heat is added, raising the gas temperature back to To. Calculate the work done ON the gas. 1 atm = 1.0x 105 Pascals and 1 liter = 0.001 m³.
1. -800 J
2. -400 J
3. +800 J
4. +400 J
5. +1600 J
6. -1600 J
Calculate the heat flow INTO the gas
1. +1600 J
2. -400 J
3. -800 J
4. +400 J
5. +800 J
6. -1600 J
Work done on the gas = -1600 J, and Heat flow into the gas = -1600 J . The correct option for both questions is (option 6).
To solve this problem, we can use the first law of thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:
ΔU = Q - W
where ΔU is the change in internal energy, Q is the heat added to the system, and W is the work done by the system. Since the volume of the gas is held constant during the second part of the process, no work is done on or by the gas, so W = 0.
For the first part of the process, the pressure is constant, so we can use the equation:
W = PΔV
where P is the pressure, and ΔV is the change in volume. We can convert the volumes to cubic meters, and the pressure to Pascals:
P = 2 atm = 2 x 1.0 x 10^5 Pa
V1 = 10 L = 0.01 m³
V2 = 2 L = 0.002 m³
ΔV = V2 - V1 = -0.008 m³ (since the gas is being compressed)
W = PΔV = (2 x 1.0 x 10^5 Pa) x (-0.008 m³) = -1600 J
So, the work done on the gas during the compression is -1600 J.
To find the heat flow into the gas during the second part of the process, we can use the equation:
ΔU = Q - W
Since the internal energy of an ideal gas depends only on its temperature, and the temperature is the same at the beginning and end of the process, ΔU = 0. Therefore:
0 = Q - W
Q = W = -1600 J
So, the heat flow into the gas during the second part of the process is -1600 J.
Therefore, the answers to the questions are Work done on the gas = -1600 J (option 6), and Heat flow into the gas = -1600 J (option 6).
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One sprinter has a stride of 120cm, another 75cm. How many steps do they each take if they run a 100m race?
Explanation:
100 m / (1.20 m) = 83.3
100 m / (0.75 m) = 133.3
Rounded up, the first sprinter takes 84 steps, and the second sprinter takes 134 steps.
Which field of science does Gregor Johann Mendel related
Answer:
Science of Genetics..
Explanation:
Through his careful breeding of garden peas, Gregor Mendel discovered the basic principles of heredity and laid the mathematical foundation of the "science of genetics".
Gregor Johann Mendel related to the science of genetics.
Gregor Johann Mendel was an Austrian monk and scientist born on July 20, 1822, and died on January 6, 1884. Mendel is known for his groundbreaking work on pea plants, which led him to discover the fundamental laws of inheritance, known as Mendelian genetics.
He conducted a series of experiments on pea plants in the mid-19th century, observing the transmission of traits from one generation to the next and discovering the principles of dominant and recessive inheritance. Mendel's work was largely unrecognized during his lifetime but later became the foundation of modern genetics and greatly influenced the development of the field of biology.
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The Sun constantly undergoes explosions called solar eruptions. When a solar eruption happens, satellites capture images of bright flashes of light called solar flares. Solar eruptions emit more energy than millions of megaton hydrogen bombs. Space is a vacuum and void of any matter.
The sound of solar eruptions cannot be heard on earth, because they cannot travel through space, as there is no medium.
The colliding, crossing, or reorganisation of magnetic field lines close to sunspots results in solar eruptions, which are rapid explosions of energy.
It is very dense on the Sun's surface. It contains electrically charged gases, which produce magnetic fields with strong magnetic forces in certain regions.
As there is no physical medium in space, where the sound of explosions is meant to travel. However, we are aware that sound cannot travel in a vacuum and needs a medium for propagation.
As a result, we cannot hear the explosions that are taking place in the Sun.
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Your question was incomplete, but most probably your question would be:
The Sun constantly undergoes explosions called solar eruptions. When a solar eruption happens, satellites capture images of bright flashes of light called solar flares. Solar eruptions emit more energy than millions of megaton hydrogen bombs. Space is a vacuum and void of any matter. Write a scientific explanation on why we don't hear solar eruptions on Earth.
the difference in surface wind speed between morning and afternoon is typically greater on a clear, sunny day than on a cloudy, overcast day.
On clear, sunny days, the difference in surface wind speed between morning and afternoon is greater than on cloudy, overcast days due to the variation in atmospheric stability between morning and afternoon.
On sunny days, the earth's surface heats up rapidly in the morning, leading to the formation of a stable radiation inversion where the air near the surface is cooler and denser than the air above.
As the day progresses, the surface continues to warm up, and the atmosphere becomes increasingly unstable due to convective mixing. This instability leads to stronger surface winds as air is forced to move from areas of high pressure to areas of low pressure.
On overcast days, the clouds act as a barrier to incoming solar radiation, which reduces the amount of heating at the earth's surface. As a result, the atmosphere is more stable, and there is less vertical mixing, leading to weaker surface winds.
The stable atmosphere also tends to trap pollutants near the surface, leading to poorer air quality in urban areas. Therefore, the difference in surface wind speed between morning and afternoon is typically greater on a clear, sunny day than on a cloudy, overcast day.
The complete question is:
Why is the difference in surface wind speed between morning and afternoon typically greater on a clear, sunny day than on a cloudy, overcast day?
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Where is the safest spot in the house during a tornado, hail storm, and earthquake? Include separate answers.
Answer:
Explanation:
in a room with no windows that way it doesnt shatter. Usually a closet... or if you have a basement.sorry but that applies to all them
Explanation:
for the tornadoes
● go to the basement on the lowest floor.
● for heavy protection get under something heavy for example a heavy table.
hail storm
●go and run for a safe place closer _ by like for example garage,under a shed or service station awning.
● do not leave the vehicle until stops hailing.
earthquake
●The best move is getting under a strong table
or a desk
● hold on the shelter if not hold on your neck and head with both arms and hands.
Types of Spectra 5) Stars like our Sun have low-density, gaseous atmospheres surrounding their hot, dense cores. If you were looking at the spectra of light coming from the Sun (or any star), which of the three types of spectrum would be observed? Explain your reasoning.
The spectrum observed from the Sun (or any star) would exhibit an absorption spectrum. This is because the outer gaseous atmosphere of the star absorbs specific wavelengths of light, resulting in dark absorption lines in the spectrum.
In the cooler, lower-density outer atmosphere, where white light from the star travels, some atoms or molecules in the atmosphere absorb photons with particular energy. In the spectrum, these absorptions show up as black lines at specific wavelengths. The specific set of absorption lines that each element or molecule generates results in a distinctive pattern that can be used to identify the elements that are present in the star's atmosphere.
The absorption spectrum offers insightful data on the chemical make-up and physical characteristics of the star. Astronomers can ascertain the elements present, their abundances, and other characteristics like the temperature, pressure, and velocity of the star's atmosphere by examining the absorption lines.
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A squirrel standing on a branch shoots an acorn toward a hole in the tree. To determine how the potential energy of the acorn changes in relation to the earth, the position of what two objects must be considered?
a
The position of the acorn and the earth
b
The height of the branch and the position of the acorn
c
The position of the acorn and the width of the hole in the tree
d
The position of the squirrel on the branch and the earth
The positions to be considered are the position of the acorn and the earth.
What is potential energy?The potential energy is the energy that is possessed by a body by virtue of its position. Hence, the potential energy of a body changes as its position changes.
Hence, to determine how the potential energy of the acorn changes in relation to the earth, the positions to be considered are the position of the acorn and the earth.
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How are forces, motion and energy related?
help pls
In 1–2 sentences, describe the factors that affect the current (amperage) in an electric circuit.
A team of students builds an electrical circuit with a battery and a fan. In 1–2 sentences, describe how energy is changed from one form to another in their electric circuit.
Electric charge inside a sealed electrical system is influenced by power input signal and component resistance. The pace at which electrons travel is called current.
What elements influence a circuit's current?The elements influence very strong a current flow is: Resistance of the cable and its cross-section. the conductor's material composition and thickness. the possible difference between the conductor's two points. the rate of electron drift and its density
What influences a circuit's amperage?The amount or fluid velocity of electrons passing a location in the circuit inside one time is known as current. Cranking amps, or amps for short, is another name for current flow. More current is going to flow whenever the voltage is greater, and less current is going to move because when voltage is lesser.
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An object with a charge of -3C is touched to an object with a charge of -1C. What is the new charge on each object?
After connecting the conducting wire, the spheres will redistribute charges until they both have a charge of -1C.
To determine the new charges on the spheres, we need to consider the principle of charge conservation, which states that the total charge before and after an interaction remains the same.
Let's assume that the spheres have charges Q1 and Q2 initially. In this case, Q1 = -3C and Q2 = +1C.
When a conducting wire is connected between the spheres, charge can redistribute until the system reaches equilibrium. Since the spheres are conducting, charges are free to move within them.
In the final state, the charges on the spheres will redistribute to reach a new equilibrium. Let's assume the new charges on the spheres are Q1' and Q2'.
According to the principle of charge conservation, the total charge before and after the connection remains the same:
Initial total charge = Q1 + Q2 = -3C + 1C = -2C
Final total charge = Q1' + Q2'
Since the total charge remains the same, we can write the equation:
Q1' + Q2' = -2C
Since the spheres are of equal size, we can assume that the charges redistribute equally:
Q1' = -1C
Q2' = -1C
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The question probable may be:
A conducting wire is connected between two conducting spheres of equal size have a charge of -3C and +1C respectively. Find out the new charge on each sphere ?
Jerome made $76,498 in 2022 at his job. You will need to calculate how much he will need to pay in total taxes. Use the information below to show how much Jerome will pay in taxes for the year 2022.
Jerome will need to pay a total of $9,179.76 in taxes in 2022, assuming a tax rate of 12%.
How to calculate the amountIt should be noted that to calculate the total amount of taxes Jerome will need to pay, we need to multiply his income by the tax rate:
Total taxes = Income * Tax rate
Total taxes = $76,498 * 0.12
Total taxes = $9,179.76
Therefore, Jerome will need to pay a total of $9,179.76 in taxes in 2022, assuming a tax rate of 12%.
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Jerome made $76,498 in 2022 at his job. You will need to calculate how much he will need to pay in total taxes tax rate 12 percent