The spring in the figure has a spring constant of 1400 N/m. It is compressed 15.0 cm, then launches a 200 g block. The horizontal surface is frictionless, but the block's coefficient of kinetic friction on the incline is 0.220. What distance d does the block sail through the air? Express your answer with the appropriate units.

Answers

Answer 1

If the spring in the figure has a spring constant of 1400 N/m, compressed 15.0 cm, then launches a 200 g block, and the horizontal surface is frictionless, but the block's coefficient of kinetic friction on the incline is 0.220, the block sails through the air for a distance of approximately 1.25 meter.

To solve this problem, we can use the conservation of energy. The potential energy stored in the compressed spring is equal to the kinetic energy of the block as it leaves the spring:

(1/2) k x² = (1/2) m v²

where k is the spring constant, x is the compression of the spring (15.0 cm or 0.15 m), m is the mass of the block (0.2 kg), and v is the velocity of the block as it leaves the spring.

Solving for v, we get:

v = √((k x²)/m)

= √((1400 N/m)(0.15 m)²/0.2 kg)

≈ 2.46 m/s

Next, we need to find the distance the block travels before coming to a stop due to friction. We can use the work-energy principle:

W = ΔK = (1/2) m v_f² - (1/2) m v_i²

where W is the work done by friction, ΔK is the change in kinetic energy (which is zero since the block stops), m is the mass of the block, v_f is the final velocity (which is zero), and v_i is the initial velocity (which is v).

Solving for W, we get:

W = (1/2) m v² (1 - μ_k)

= (1/2) (0.2 kg) (2.46 m/s)² (1 - 0.220)

≈ 0.774 J

where μ_k is the coefficient of kinetic friction.

The work done by friction is also equal to the force of friction multiplied by the distance traveled, so:

W = f_d = μ_k m g d

where f is the force of friction, d is the distance traveled, and g is the acceleration due to gravity (9.81 m/s²).

Solving for d, we get:

d = W/(μ_k m g)

= 0.774 J/(0.220)(0.2 kg)(9.81 m/s²)

≈ 1.25 m

Therefore, the block sails through the air for a distance of approximately 1.25 meters.

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Related Questions

……………………………………………………………..?

..?

Answers

Answer:

last is the answer.

increase the voltage in order to send energy faster.

the spring has a spring constant of 2000 n/m, and it is undeformed when the collar is at position 1. what is the magnitude of the spring force at the instant when the collar moves to position 2: a collar is shown with a spring attached. the spring has a spring constant of 2000 n/m, and it is undeformed when the collar is at position 1. what is the magnitude of the spring force at the instant when the collar moves to position 2: a collar is shown with a spring attached. 200 n 300 n 400 n 100 n 500 n

Answers

C. 400 N, Hooke's law, which states that a spring's force is exactly proportional to how much it is stretched or compressed, may be used to estimate the size of the spring constant.

According to Hooke's rule, which states that a spring's force is exactly proportional to how much it is stretched or compressed, the size of the spring constant may be calculated. F = -kx, where x represents the collar's displacement from its equilibrium position and k is the spring constant, is the equation for Hooke's law. The displacement in this instance is equal to x = position 2 - position 1, and the spring constant is 2000 N/m. If the displacement is x = 1 metre, then F = -2000 N/m * 1 m = -2000 N = 2000 N represents the spring force at the point that the collar moves to position 2.

So, C. 400 N is the correct response.

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Conversions are essential to solving questions, what are some examples and how can we use them in the real world? If you give an example then you have to give how it is used (applied) in the real world. give two examples please Is for Sep 2, please help

Answers

Answer:

Explanation:

Conversions involve the interpolation of a particular value in a unit to it's equivalent value in another another unit. For example, the "value" of 60 seconds is the same as the "value" of 1 minute. There are several of this conversions that apply in our daily life. Two examples are provided below

1) Using the time conversion mentioned earlier. In some countries like Nigeria, talk time on phone are bought as airtime (prepaid) and one is usually charged per second of this airtime. Phones generally use the best unit to determine the exact time one has spoken for on a call. Hence, one sees values such as 1:23:16 meaning the individual has spoken for 1 hour, 23 minutes and 16 seconds. If a call is charged at 11 kobo per second, how much (in naira) will an individual be charged for speaking for that long.

1 hour can be converted to seconds by multiplying it by 3600 = 3600 s

23 minutes can be converted to seconds by multiplying it by 60 = 1380 s

16 seconds is already in seconds and will be added to the initial conversions in seconds to have 3600 + 1380 + 16 = 4996 s

If an individual charge per second is 11k, then speaking for 4996 s will cost such an individual 4996 × 11 = 54,956 kobo

To convert the said amount to naira (which is another conversion).

1 naira has the same value as 100 kobo, thus 54,956 kobo will be equal to 54956÷100 = 549.56 naira

This means the individual will be charged 549.56 naira for speaking for 1 hour, 23 minutes and 16 seconds.

2) Conversion of height in meters to feet: Some application documents (like immigration/visa documents) require you provide your height in meters while some require you provide your height in feet. Thus, an individual of 1.8 meters, will have to convert his/her height to feet by multiplying by 3.281, meaning the individual can also claim to be 5'9 feet (1.8 × 3.281).

Which column in a chart of Starting Place, Destination, Air Distance (Miles), and Driving Miles would align with displacement? Explain the answer.

Answers

Answer:

The column that would align with displacement in a chart of starting place, destination, air distance (miles), and driving miles is the air distance (miles) column. Displacement is a vector measure of an interval measured along the shortest path, while air distance (miles) is a scalar measure of an interval measured along a path. Therefore, the air distance (miles) column would be the most appropriate to represent displacement.

Detailed:

The column that would align with displacement in a chart of starting place, destination, air distance (miles), and driving miles is the air distance column. Displacement is a vector quantity that refers to the shortest distance between two points. Air distance is the shortest distance between two points in a straight line, while driving miles refer to the actual distance traveled by car. Therefore, air distance would be the most appropriate column to use when calculating displacement.

How is kinetic energy different from potential energy? akinetic energy is stored energy that has the capacity to do work, and potential energy is the energy of motionbkinetic energy is energy that an object possesses as a result of its location, and potential is the same as heat energyckinetic energy is energy of a moving object, whereas potential energy is energy possessed by matter as a result of its location or structuredkinetic energy can be created or destroyed, while potential energy cannot be created and destroyed

Answers

We will have that kinetic energy is different from potential energy as follows:

Kinetic energy is energy of a moving object, whereas potential energy is energy possessed by matter as a result of its location or structure. [Option C]

3. nasa is designing a rover to investigate a newly discovered planet, named terminus,
outside of the solar system. the force of gravity of the rover on the earth is 90 n. the
rover is then sent to terminus, which has 0.4 time the mass of the earth and 3/4 times
the radius of the earth.
what is the force of gravity on the rover at the surface of terminus? round your
answer to the nearest whole number.

Answers

The surface of Terminus is approximately 161 N.

How does the mass of Terminus compare to the mass of Earth?

The force of gravity on the rover at the surface of Terminus, we can use the formula for gravitational force:

F = (G * m1 * m2) / r^2

where F is the force of gravity, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers.

Given that Terminus has 0.4 times the mass of Earth and 3/4 times the radius of Earth, we can substitute these values into the formula:

F = (G * (0.4 * m) * m) / ((3/4 * r)^2)

Since the force of gravity on Earth is 90 N, we can set this equal to F:

90 = (G * (0.4 * m) * m) / ((3/4 * r)^2)

Simplifying the equation, we find:

90 = (16/9) * (G * m^2) / (r^2)

Solving for the force of gravity on Terminus, we get:

F = (90 * (r^2)) / (16/9)

Substituting the given values of r and rounding to the nearest whole number, the force of gravity on the rover at the surface of Terminus is approximately 161 N.

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7.
You run from your house to a friend's house that is 3 miles away. You then walk home.

Answers

Answer:

whats the question??????

magnetic field strength is :
a. strongest close to a magnet.
b. constant everywhere around a magnet.
c. strongest far from a magnet.

Answers

Magnetic field strength refers to the intensity or magnitude of the magnetic field at a particular point in space. The strength of a magnetic field is not constant everywhere around a magnet but varies with distance from the magnet.

When you are close to a magnet, the magnetic field lines are more concentrated and closely packed together, resulting in higher magnetic field strength. As you move farther away from the magnet, the magnetic field lines become more spread out and less concentrated, leading to a decrease in magnetic field strength. The strength of a magnetic field decreases as the distance from the magnet increases. Therefore, the magnetic field strength is strongest close to a magnet and weakest far from the magnet. The correct answer is a.

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\(r=s^2/t^2\) 1. If s is tripled and t stays constant, r is multiplied by... 2. If t is doubled, and s stays constant, r is multiplies by...

Answers

Answer:

9 and 4

Explanation:

The relation is:

● r = s^2 / t^2

Triplind s means multiplying it by 3. Since it's an equation we should multiply both sides by the same number

Let k be the number we should multiply by r

●k* r = (3s)^2 / t^2

●k* r = 9s^2 /t^2

We have multiplied s^2 by 9 so we should do the same for r.

k = 9

■■■■■■■■■■■■■■■■■■■■■■■■■■

Doubling t means multiplying it by 2.

Let x be the number we shoukd multiply by r.

● x* r = s^2/(2t)^2

● x*r = s^2/ 4t^2

We have multiplied t^2 by 4 so we should do the same for r.

x= 4

Can you all solve this 2 problems I will mark you as brainlist if you are correct​

Can you all solve this 2 problems I will mark you as brainlist if you are correct

Answers

Answer:

first answer is 70 newtons the second answer is f = 250N

If the ray is incident on a transparent surface at an angle of 360 and the angle of refraction within the material is 27o, find the refractive index of the material

Answers

The refractive index of the material is 0.

When the ray is incident on a transparent surface at an angle of 360 and the angle of refraction within the material is 27°, the refractive index of the material can be determined. The formula for Snell’s law is used to calculate refractive index. It states that: `sin i / sin r = n where i is the angle of incidence, r is the angle of refraction and n is the refractive index`.Snell’s law can be re-arranged to make n the subject of the formula to be: `n = sin i / sin r`Hence, we can calculate the refractive index as follows:

For the incident ray, i = 360° and the angle of refraction within the material, r = 27°.n = sin i / sin r= sin 360°/ sin 27°= 0/1 (since sin 360° = 0)= 0Therefore, the refractive index of the material is 0. T

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A riverbed with a shallow slope will yield high velocity streamflow. True False

Answers

Streamflow is the flow of water in streams, rivers, and other channels, and is a key component of the water cycle. It's influenced by a variety of factors, including the shape and depth of the riverbed, the gradient of the stream, the size and shape of the channel, and the amount of water flowing through it. The given statement is false.It is affected by many factors.

All of these factors influence the velocity of the streamflow. Riverbed and streamflow relationshipThe velocity of streamflow is primarily influenced by the gradient or slope of the riverbed. A shallow slope will not yield high velocity streamflow, but instead will create a slow-moving, meandering stream with a high potential for sedimentation and erosion. In contrast, a steep gradient will create a fast-moving stream with a higher velocity and more turbulent water. As a result, a steeper slope will produce higher velocity streamflow than a shallower slope, which will produce slower-moving streamflow. Therefore, a riverbed with a shallow slope will not yield high velocity streamflow. The statement is false.

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nearly 1400 watts/meter2 of solar energy reaches the outermost atmosphere. what fraction of this energy on average actually reaches earth's surface?

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On average, only about 1,000 watts/meter2 of solar energy reaches the Earth's surface. This is because some of the solar energy is absorbed, scattered or reflected by the atmosphere and clouds, while some is simply lost in space.

The Earth's atmosphere filters out a significant portion of the solar radiation, with most of the filtering taking place in the lower layers of the atmosphere. This filtering is responsible for the blue color of the sky, as shorter wavelengths of light (blue and violet) are scattered more easily than longer wavelengths (red and yellow). Additionally, some solar energy is reflected back into space by the Earth's surface, such as sunlight reflected off of snow, ice, or water. The amount of solar energy that reaches the Earth's surface can also vary depending on factors such as the angle of the sun, the time of day, and the season. Nonetheless, despite the filtering and reflecting of solar energy by the Earth's atmosphere, the amount that reaches the surface is still enough to power life on Earth and a growing amount of renewable energy technologies.

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In Young's double slit experiment using monochromatic light the fringe pattern shifts by a certain distance on the screen when a mica sheet of refractive index 1.6 and thickness 1.964 micron (1 micron = 10^-m) is introduced in the path of one of the interfering waves. The mica sheet is then removed and the distance between the screen and the slits is doubled. It is found that the distance between the successive maxima now is the same as the observed fringe-shift upon the introducing of the mica sheet. Calculate the wevelength of the monochromatic light used in the experiment

Answers

The fringe shift Δs due to the introduction of any sheet of thickness t and refractive index n in the path of any of the interfering waves is given by, Δs=(n−1)t D/2d which is 5892 Ä.

​Due to the change in the distance of separation between the plane of the slits and the screen, the fringe width is given by  λ×2D/2d

According to the statement of the problem,

λ×2D/2d =(n−1) t D/2d

λ=(n−1) t/2

(1.6−1) 1.964×10⁻⁶/2  =5892 Ä

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1. A rocket is fired vertically from the launch pad with a
net accelevation of 20m/s². If the atmosphere is
approximately 100km thick and considering that the
acceleration is constant....
a) what is the time it takes for the rocket to leave the
atmosphere?
b) What speed does the rocket reach at that time?

Answers

Answer:

Max height= 36000 meters

Total Time = 120 seconds

Explanation:

0 = U - at

U = at

U= 20*60

U= 1200 m/s

MAX altitude would be

(U²Sin²tita)/2g

Max height= 1200² *( SIN90)²/(2*20)

Time of FLIGHT

2 * 1200/20

2400/20

120 sec onds

two equal mass blocks are suspended from the ceiling of an elevator by a massless string. the elevator then moves upward with acceleration a

Answers

When two equal mass blocks are suspended from the ceiling of an elevator by a massless string and the elevator moves upward with acceleration a, the tension in the string will be greater than the weight of the blocks by a factor of (1 + a/g), where g is the acceleration due to gravity.

In this scenario, the blocks are in equilibrium under the influence of two forces: their weight (mg) acting downward and the tension in the string (T) acting upward. When the elevator accelerates upward, an additional force is experienced by the blocks, known as the pseudo force, in the opposite direction of the elevator's acceleration.

To determine the tension in the string, we can consider the net force acting on each block. The net force is given by the difference between the tension and the weight of the block, taking into account the pseudo force. Since the blocks have equal masses, their weights are the same. Therefore, the net force on each block is (T - mg - ma), where m is the mass of each block.

For the blocks to be in equilibrium, the net force on each block must be zero. Thus, we have the equation T - mg - ma = 0. Solving for T, we find T = mg + ma. Factoring out m, we get T = m(g + a).

Therefore, the tension in the string will be greater than the weight of the blocks by a factor of (1 + a/g). As the elevator accelerates upward, the tension in the string increases due to the additional pseudo force.

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How does static electricity apply to car
paint application?

Answers

Answer:

For electrostatic paint to be applied, the vehicle needs to be grounded and positively charged. This creates a magnetic attraction to the negatively charged paint. Due to this charge, when the paint leaves the nozzle, it is attracted to the vehicle's charge and will stick to it.

Explanation:

I need help please ;)

5. The half-life of 1-131 is 8.07 days. If 25 g are left after 40.35 days, how many grams
were in the original sample?

I need help please ;) 5. The half-life of 1-131 is 8.07 days. If 25 g are left after 40.35 days, how

Answers

Notice that 40.35 is 5 times the half-life of 8.07 days. So in this time, the starting amount x of the sample was halved 5 times until 25 g of it were left, meaning

x/2⁵ = 25 g

Solve for x :

x = 2⁵ • (25 g) = 800 g

3 A 100 g steel ball falls from a height of 1.8 m on to a metal plate and rebounds to a height of 1.25 m.​

Answers

Given values:

Mass of the steel ball, m = 100 g = 0.1 kg

Height of the steel ball, h1 = 1.8 m

Rebound height, h2 = 1.25 m

a.  PE= mgh

0.1 x 9.8 x 1.8 =

1.764 Joules

b. KE = PE ->

1.764 Joules

c. KE= 1/2 mv square

so v = square root 2ke/m

square root 2 x 1.764/ 0.1

= 5.93 m/s

d. KE=PE=mgh square

0.1 x 9.8 x 1.21 =

1.186 joules

velocity of rebond is square root 2x 1.186/ 0.1 = 4.87 m/s

It makes a distinct "clang", even if there is nobody there to hear it.

What wavelength of light (in nm) is associated with a frequency of 8.01E15 Hz?

Answers

Answer: 37.5 nm

Explanation: speed of light c= 3.00·10^8 m/s.

I use same accuracy to speed of light as it's for frequency.

Frequency f= 8.01·10^15 1/s

Speed c = wavelength · frequency

Wavelength = c/f = 3.745·10^-8 m

The wavelength of light associated with a frequency of 8.01E15 Hz is approximately 374 nm.

What is wavelength?

Wavelength is a term used in physics to describe the distance between two consecutive peaks or troughs of a wave. It is usually denoted by the Greek letter lambda (λ) and is measured in units of length, such as meters, centimeters, or nanometers.

We can use the formula c = λν, where c is the speed of light (approximately \(3.00 x 10^8 m/s\) ), λ is the wavelength in meters, and ν is the frequency in Hertz.

First, we need to convert the frequency from Hz to \(s^-1:\)

\(8.01 x 10^15 Hz = 8.01 x 10^15 s^-1\)

Next, we can rearrange the formula to solve for λ:

λ = c/ν

λ = (\(3.00 x 10^8 m/s) / (8.01 x 10^15 s^-1)\)

λ ≈\(3.74 x 10^-8 m\)

Finally, we can convert meters to nanometers:

λ ≈ \(3.74 x 10^-8 m x (1 nm / 1 x 10^-9 m)\)

λ ≈ 374 nm

Therefore, the wavelength of light associated with a frequency of 8.01E15 Hz is approximately 374 nm.

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Photo shows all! Need help ASAP! Will mark brainlist

Photo shows all! Need help ASAP! Will mark brainlist

Answers

Answer:

The student is getting different info bc the students probable keeping track of the distance instead of the displacement.

Explanation:

VOTING BRAINLIEST FOR ANYONE WHO ANSWERS RIGHT!!
PLS HELP

VOTING BRAINLIEST FOR ANYONE WHO ANSWERS RIGHT!!PLS HELP

Answers

Answer:

B

Explanation:

-1 e so the atomic number should increase so,

B. Np

Consider the three parts of the circuit: the top branch with two bulbs; the middle branch with one bulb; the battery.
A. Rank the current through each, from greatest to least.
B. Rank the voltage across each from greatest to least.

Answers

A) The current through the branches can be ranked as follows; 1. The middle branch 2. The top branch 3. The battery.Explanation: Current is measured in amperes, and it is the flow of electrical charge in the circuit. When we turn on an appliance, a current flows through the circuit, powering the device. It's crucial to note that current is the same at all points in a series circuit.

The formula for current is I = V/R, where V is the voltage and R is the resistance. The circuit's middle branch has only one bulb, so its resistance is lower than the resistance of the top branch. As a result, the current in the middle branch is greater than the current in the top branch. The battery has the greatest current because it is the source of the current that flows through the circuit.

As a result, the current can be ranked as follows: middle branch > top branch > battery. B) The voltage across the branches can be ranked as follows; 1. The battery 2. The top branch 3. The middle branch.Explanation: Voltage is measured in volts and is the electrical potential difference between two points in a circuit. Voltage is the same across all branches in a parallel circuit. It's crucial to note that the sum of voltages in a parallel circuit is the same as the voltage of the battery.

The voltage across the battery is the same as the voltage across the top branch since the battery is in parallel with the top branch. The voltage across the middle branch, on the other hand, is the lowest because it has just one bulb and has a lower voltage drop than the top branch. As a result, the voltage can be ranked as follows: battery > top branch > middle branch.

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(a) Obtain mass attenuation coefficient and mass energy-absorption coefficient of Pb for 70-keV photons, (b) Why are these two values almost equal? (c) How many mm of Pb are needed to reduce the transmitted inten- sity of a 70-keV X-ray beam to 1% of its original value? (d) What percentage of the photons penetrate this thickness without interacting?

Answers

The mass attenuation coefficient for lead (Pb) for 70-keV photons is 0.176 cm2/g, and the mass energy-absorption coefficient is 0.166 cm2/g. The 3.9 mm of Pb is required to reduce the transmitted intensity of a 70-keV X-ray beam to 1% of its original value.

(a) The mass attenuation coefficient for lead (Pb) for 70-keV photons is 0.176 cm2/g, and the mass energy-absorption coefficient is 0.166 cm2/g.

(b) The two values are almost equal because lead has a high atomic number and a high electron density, which results in a high probability of photons interacting with the atoms in the material. This interaction leads to a higher probability of absorption, which results in a higher mass attenuation coefficient, making the values almost equal.

(c) The equation used to calculate the thickness of the material needed to reduce the transmitted intensity of a 70-keV X-ray beam to 1% of its original value is given below:ln(I0/I) = μρxwhere I0 is the initial intensity, I is the intensity after transmission, μ/ρ is the mass attenuation coefficient, and x is the thickness of the material.

Substituting the given values into the equation,ln(100/1) = 0.176 xwhere x is the thickness of lead required to reduce the transmitted intensity to 1% of its original value.Solving for x,x = ln(100/1) / 0.176= 3.9 mmTherefore, 3.9 mm of Pb is required to reduce the transmitted intensity of a 70-keV X-ray beam to 1% of its original value.

(d) The percentage of photons that penetrate this thickness without interacting is given by the following equation:Percentage of photons that penetrate = (1 - e^-μρx) × 100%Substituting the given values into the equation,Percentage of photons that penetrate = (1 - e^-0.176 x 11.34 x 3.9) × 100%= 0.23%Therefore, approximately 0.23% of the photons penetrate this thickness without interacting.

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two parallel conducting plates separated by a distance d are connected to a battery of voltage e. what is correct if the plate separation is doubled while the battery remains connected? select all that apply

Answers

The capacitance is unchanged, and the potential difference between the plates is halved. So the correct option is 1 and 4.

When the plate separation is doubled while the battery remains connected, the electric field between the plates decreases and the potential difference between the plates is halved. The electric charge on the plates remains unchanged, as the electric field is proportional to the electric charge and the capacitance. The decrease in the potential difference between the plates also results in a decrease in the capacitance.

The formula for the capacitance of a parallel plate capacitor is given by C = ε0A/d, where ε0 is the permittivity of free space, A is the surface area of the plates, and d is the distance between the plates. When the plate separation is doubled, the capacitance of the capacitor decreases by a factor of four, as C = ε0A/(2d) = ε0A/d / 2. This decrease in the capacitance is due to the increased distance between the plates and the decreased electric field between the plates.

When the plate separation is doubled while the battery remains connected, the potential difference between the plates is halved, the electric charge on the plates remains unchanged, and the capacitance of the capacitor is unchanged. The decrease in the potential difference between the plates and the decrease in the capacitance demonstrate the fundamental relationship between the electric field, the potential difference, and the capacitance in a parallel plate capacitor.

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Complete question :

Two parallel conducting plates separated by a distance d are connected to a battery of voltage E.What is correct if the plate separation is doubled while the battery remains connected?

1. The potential difference between the plates is halved.

2. The electric charge on the plates is halved.

3. The potential difference between the plates is doubled.

4. The capacitance is unchanged. 

5. The electric charge on the plates is doubled.

the circuit below represent a lead-acid battery and a car's headlight. if the battery delivers a total energy of 460.8 watt-hours over an 8-hour discharge period. a. how much power is delivered to the headlight?

Answers

The power delivered to the headlight is 460.8 Watts.

What is power?

Power is the ability to influence others and to control resources, people and situations. It is a central concept in politics, economics and social studies, and is often defined as the ability to determine the behaviour of others.

The total energy delivered by the battery over the 8-hour discharge period can be calculated as follows:
Energy = Power x Time
Energy = 460.8 Watt-hours
To calculate the power delivered to the headlight, we first need to know the current being drawn by the headlight. Assuming that the headlight is a 12V bulb, the current can be calculated as follows:
Power = Voltage x Current
460.8 = 12V x Current
Current = 38.4 Amps
Therefore, the power delivered to the headlight is 12V x 38.4A = 460.8 Watts.


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Help with number 3 Please!! i’d greatly appreciate it

Help with number 3 Please!! id greatly appreciate it

Answers

Answer: You can not see it!

Explanation:

the speed of light is 300,000 km/s. at that speed, how long does it take to travel 3.26 million light-years? one million years 3.26 million years 3.26 years

Answers

it would take about 3.26 million years to travel 3.26 million light-years at the speed of light.

To calculate the time it takes to travel 3.26 million light-years at the speed of light, we can use the formula:

time = distance / speed

where distance is given in light-years and speed is given in km/s.

Converting the distance to kilometers:

1 light-year = 9.461 x \(10^1^2 k\)m

3.26 million light-years = 3.26 x\(10^6\) light-years

\(Distance = 3.26 x 10^6 light-years * 9.461 x 10^12 km/light-year = 3.08 x 10^19 km\)

Plugging in the values:

time = distance / speed = (3.08 x \(10^1^9\)km) / (300,000 km/s) = 1.03 x \(10^1^4\)\(10^1^9\)seconds

Converting seconds to years:

1 year = 31,536,000 seconds (approx.)

\(1.03 x 10^14 seconds = (1.03 x 10^14) / (31,536,000) years = 3.26 million years (approx.)\)

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a 0.30-kg mass is suspended on a spring. in equilibrium the mass stretches the spring 2.0 cm downward. the mass is then pulled an additional distance of 1.0 cm down and released from rest. calculate the total energy of the system.

Answers

The general equation of simple harmonic motion is

y = a cos (? t )or y = a sin (? t )

but here y = a cos (? t )...because at t=0 amplitude is maximum

Here amplitude 'a '= 0.01 m

m = 0.3 kg

x = 0.02 m

Force constant k is given by,

k = mg / x = 0.3 x 9.8/ 0.02 = 147 N/m

The time period of oscillation is given by ,

T = 2 ? ?( m / k )

? = 2 ? / T = ? ( 147 / 0.3 )

? = 22.1

then y = (0.01m) cos (22.1 t )

In physics, a force is a power that can change the motion of an item. A force can purpose an object with mass to alternate its pace. Pressure also can be described intuitively as a push or a pull. A force has both value and path, making it a vector quantity.

A pressure is a push or a pull and it affects our each day lives because without force, people might not be capable of open and near stuff or lift up our arms or legs.

Learn more about Force here:- https://brainly.com/question/12785175

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Choose the word that BEST completes the following sentence:
_________________________ cannot be created or destroyed.

All
Mass
Matter
Galaxies
Stars

Answers

Hi there!

Answer:

Matter

Explanation:

To find the correct answer, you have to try all of the answers. Like below:

All cannot be created or destroyed.

This doesn't make sense.

Mass cannot be created or destroyed.

This may sound correct, but when you look at the big picture, this is wrong.

Matter cannot be created or destroyed.

This is correct because it is a saying created long ago and proven with experiments.

Galaxies cannot be created or destroyed.

This is wrong because new galaxies are being created everyday!

Stars cannot be created or destroyed.

This is wrong because like galaxies, new stars are being created everyday!

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