A car radio draws 0.32 A of current in the auto's 12-V electrical system.(a) How much electric power does the radio use? _________W(b) What is the effective resistance of the radio? _________Ω

Answers

Answer 1

a)

The power is given by:

\(P=VI\)

Where V is the voltage and I is the current.

In this case the voltage is 12 V and the current is 0.32, then we have:

\(\begin{gathered} P=(12)(0.32) \\ P=3.84 \end{gathered}\)

Therefore, the power is 3.84 W

b)

Ohm's law states that:

\(R=\frac{V}{I}\)

Then we have:

\(\begin{gathered} R=\frac{12}{0.32} \\ R=37.5 \end{gathered}\)

Therefore, the resistance is 37.5 Ohms


Related Questions

In the article the study author recommends going on a photo hunt what was the purpose of this activity with choices becoming less introvered
Becoming less neurotic
Becoming more extroverted
Becoming more assertive

Answers

In the article the study author recommends going on a photo hunt and the purpose of this activity is Becoming more assertive.

What is the reason why the author gave the recommedation about going for the photo hunt ?

The reason why the author gave the recommedation about going for the photo hunt is that the activity can bring about assertiveness which has not been seen in the participants before.

It should be noted that with the assertion, there will be display of  confident as well as  forceful personality as they are taking part in the photo hunt, because it involves the activity whereby the participants will be competing with themselves in the collection of the greatest number of objects which is been goteen from the predetermined list.

In conclsion, the recomedation about going to the photo hunts by te author was made so that they can become more assertive.

Therefore , the last option is correct.

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The amount of heat rejected by a heat pump to the high temperature reservoir will always be greater than the amount of heat absorbed from the low temperature reservoir.

a. True
b. False

Answers

b it is false because of the low temperature

The amount of heat rejected by a heat pump to the high-temperature reservoir will always be greater than the amount of heat absorbed from the low-temperature reservoir. The statement is true.

What is a heat pump?

A heat pump is a device that uses a refrigeration cycle to transfer thermal energy from the outside to heat a building. Many heat pumps can also be used to cool a building by removing heat from the enclosed space and rejecting it outside.

Given the statement, the amount of heat rejected by a heat pump to the high-temperature reservoir will always be greater than the amount of heat absorbed from the low-temperature reservoir is true.

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Obtain the potential on the x-axis at x = 0 for the following point charge distributions on the x-axis: 200 μC at x = 20 cm, -300 μC at x = 30 cm and -400 μC at x = 40 cm60v,90v,-60v,-90v

Answers

Given:

The charge

\(\begin{gathered} q1\text{ = 200 }\mu C \\ =200\times10^{-6}\text{ C} \end{gathered}\)

is at a distance x1 = 20 cm = 0.2 m.

The charge

\(\begin{gathered} q2\text{ = -300 }\mu C \\ =-300\times10^{-6}\text{ C} \end{gathered}\)

is at a distance x2 = 30 cm = 0.3 m.

The charge

\(\begin{gathered} q3\text{ = -400 }\mu C \\ =-400\times10^{-6}\text{ C} \end{gathered}\)

is at a distance x3 = 40 cm = 0.4 m.

To find the potential at x = 0

Explanation:

The potential can be calculated by the formula

\(V=\frac{kq}{x}\)

Here k is Coulomb's constant whose value is 9 x 10^(9) Nm^2/C^2

Potential due to charge 1 is

\(\begin{gathered} V1\text{ =}\frac{kq1}{x1} \\ =\frac{9\times10^9\times200\times10^{-6}}{0.2} \\ =9\times10^6\text{ V} \end{gathered}\)

Potential due to charge 2 is

\(\begin{gathered} V2\text{ =}\frac{kq2}{x2} \\ =\frac{9\times10^9\times-300\times10^{-6}}{0.3} \\ =-9\times10^6\text{ V} \end{gathered}\)

Potential due to charge 3 is

\(\begin{gathered} V3\text{ =}\frac{kq3}{x3} \\ =\frac{9\times10^9\times-400\times10^{-6}}{0.4} \\ =-9\times10^6\text{ V} \end{gathered}\)

Thus, the net potential at x = 0 is

\(\begin{gathered} V_{net}\text{ = V1+V2+V3} \\ 9\times10^6-9\times10^6-9\times10^6 \\ =-9\times10^6\text{ V} \end{gathered}\)

4 A student notices that she gets a shock when she touches a metal door handle she has been charged by walking across a carpet. Would she get a shock if the handle was made of plastic?​

Answers

Answer:

Not likely

Explanation:

She might feel a slight shock if she touches a plastic door handle after walking across a carpet, but not nearly as much as when she touches a metal handle. This is because plastic is an insulator, which means it does not conduct electricity very well. Metal is an excellent conductor. When the student drags her feet across a carpet, she builds up a negative electric charge on her body. Free electrons are released from the carpet due to friction between the carpet and her shoes, and the electrons collect on the surface of her body.  If she touches a metal object like a door handle, the electrons flow from her body to the metal, resulting in a static discharge--a shock. However, if she touches a plastic object, the charge will not flow as easily and she is less likely to feel a shock.  The electrons on her body repel the electrons in the metal door knob, leaving the surface of the metal doorknob positively charged, so the electrons jump across a short air gap to the metal door and she feels an electrical shock.  This won't happen so dramatically with a plastic handle because the electrons in plastic won't be as easily repelled as in a metal handle.

Aaron ran 500 meter in 100 Seconds. Find the speed in km per hour.​

Answers

Answer:

50km

cuz he ran so fast in 100 seconds

1. A 15.0 kΩ resistor is hooked up to a 45.0 V battery in a circuit with a switch.
(a) Draw a circuit diagram for the circuit described. Label all parts and values.
(b) What is the current flowing through the resistor?
(c) What is the power dissipated by the resistor?

Answers

(a) The circuit diagram is in the image attached.

(b) The current flowing through the resistor is 0.003 A.

(c) The power dissipated by the resistor is  0.135 W.

What is current flowing through the resistor?

(b) The current flowing through the resistor is calculated by applying Ohm's law as follows;

V = IR

I = V/R

where;

V is the voltageR is resistance

I = 45 V / 15,000Ω

I = 0.003 A

(c) The power dissipated by the resistor is calculated as follows;

P = IV

where;

I is the current V is the voltage

P = 0.003 x 45 V

P = 0.135 W

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1. A 15.0 k resistor is hooked up to a 45.0 V battery in a circuit with a switch.(a) Draw a circuit diagram

Which of the following would cause a chemical reaction to go faster? (select 2 answers)
O using an impure reactant
a solid reactant ground up into a fine powder
more water added to a liquid reactant
big chunks of a solid reactant
a higher concentration of a liquid reactant

Answers

Big chunks of a solid reactant would cause a chemical reaction to go faster.

What makes chemical reaction go faster?

There will be more successful collisions and the reaction will proceed more quickly if there are more molecules present or if the surface area on which the reaction occurs is larger. A higher temperature will also cause more molecules to have enough energy to react, which will speed up the reaction. Because reactant concentrations drop as reactants are transformed into products, reaction rates slow down over time. In general, reaction rates rise as reactant concentrations do.

Affects the rate of a chemical reaction :

The chemistry of the reacting substances, how the reactants are divided (into a single large lump or many smaller particles), their temperature, concentration, and the presence of a catalyst.

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A solenoid used to produce magnetic fields for research purposes is 2.5 mm long, with an inner radius of 30 cmcm and 1300 turns of wire. When running, the solenoid produced a field of 1.4 TT in the center. Part A Given this, how large a current does it carry

Answers

Answer:

2.14 A

Explanation:

L = 2.5 mm, N = 1300, B = 1.4 T, find I

B = μ₀N*I/L

so I = B*L/(μ₀N) = 1.4 * 0.0025/(4π x 10⁻⁷ x 1300) = 2.14 A

2. The muscles on the right side of your body are controlled by what part of your brain? the right cortex the right hemisphere the left cortex the left hemisphere​

Answers

Answer:

Motor cortex

Both hemispheres have a motor cortex, with each side controlling muscles on the opposite side of the body (i.e, the left hemisphere controls muscles on the right side of the body).

Explanation:

In the drawing, water flows from a wide section of a pipe to a narrow section. In which part of the pipe is the volume flow rate the greatest?

Answers

Answer:

Volume flow rate is the same in both sections of the pipe

Explanation:

A 17-kg

piece of metal displaces 2.8 L

of water when submerged. what is its density?

Answers

Answer: Density = 6071.428571 kg/m³

Explanation: Given that mass m=17 kg

volume displaced v=2.8L

We know that

density = mass/volume

Here density=17kg/2.8L

Also 1L=1000m³ Hence

density=17kg/2.8×10⁻³m³

           =6071.428571 kg/m³

what exercises most beneficial for your overall health​

Answers

Answer:

Endurance, or aerobic

Strength, or resistance training

Balance

Flexibility

Explanation:

Answer:

Walking. Walking is simple, yet powerful. It can help you stay trim, improve cholesterol levels, strengthen bones, keep blood pressure in check, lift your mood, and lower your risk for a number of diseases (diabetes and heart disease, for example).

Because many drug addicts who came through the courts admit that they started on marijuana, marijuana likely causes addiction to hard drugs,

Deductive or Inductive?

Answers

The statement is an example of faulty deductive reasoning, specifically the fallacy of hasty generalization.

Is the statement Deductive or Inductive?

The statement is an example of faulty deductive reasoning. The conclusion that marijuana causes addiction to hard drugs is not supported by the premise that many drug addicts who came through the courts admit that they started on marijuana.

Inductive reasoning would involve observing a large number of cases and drawing a general conclusion based on that evidence. However, the given statement only presents a small sample of drug addicts who came through the courts and cannot be used to make a general conclusion about the relationship between marijuana use and addiction to hard drugs.

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Which skill is least useful on defense

Answers

Answerr: Passing ability

Explanation: just took the quiz.

which of the following can not happen when a light ray strikes a new medium

which of the following can not happen when a light ray strikes a new medium

Answers

Answer:

amplification

Explanation:

reflection can happen

some amount of lighr get absorbed

something gets refracted

but amplification cant

please help me !
1. Suppose that the temperature drops 25 degrees overnight. When you get into your car the next morning, your low tire pressure light comes on. Explain, in terms of the ideal gas law, why this happened (assume air is an ideal gas). (10 points)

Answers

Answer:

The drop in temperature overnight causes a decrease in the average kinetic energy of the air molecules inside the tires. According to the ideal gas law, this leads to a decrease in tire pressure. The low tire pressure light in vehicles is triggered when the pressure falls below a certain threshold, alerting the driver to check and adjust the tire pressure.

Explanation:

The ideal gas law, represented by the equation PV = nRT, relates the pressure (P), volume (V), number of moles (n), and temperature (T) of an ideal gas. In this case, we can analyze how the drop in temperature affects the tire pressure.

When the temperature drops, according to the ideal gas law, the pressure of a gas will decrease if the volume and the number of moles remain constant. This is because the decrease in temperature causes a decrease in the average kinetic energy of the gas particles, leading to less frequent and less forceful collisions with the tire walls, resulting in a decrease in pressure.

In the context of the tire pressure, the air inside the tires behaves as an ideal gas. When the temperature drops overnight, the air inside the tires also cools down, causing a decrease in its temperature. As a result, the average kinetic energy of the air molecules decreases, leading to a decrease in pressure inside the tires.

The low tire pressure light comes on as a result of this drop in pressure. The tire pressure monitoring system in modern vehicles is designed to detect significant deviations from the recommended tire pressure. When the pressure drops below a certain threshold, typically due to temperature changes or a puncture, the light is triggered to alert the driver to check and adjust the tire pressure.

Therefore, the drop in temperature overnight causes a decrease in the average kinetic energy of the air molecules inside the tires, resulting in a decrease in tire pressure, which triggers the low tire pressure warning light.

Hope this helps!

Problem B.2: Escaping a Star (6 Points) It takes many years for a photon produced in a star's centre to reach its surface and escape into space. This is due to its constant interaction with other particles. To estimate the time it takes for a photon to escape a star's interior, we assume that the photon is deflected in equal time intervals into a random direction in a two-dimensional space (i.e., a random walk): At each step i, the photon moves a constant distance in an angle, thus changing its position: cos(4) sin(y) Ai, - c (a) Determine the distance R(n) from the centre (0,0) after n steps.​

Answers

Answer:

This problem involves the concept of a random walk, which is a mathematical model of a path consisting of a succession of random steps.

The question asks for the distance, R(n), from the center of a star after n steps of a photon, assuming a 2D random walk.

The random walk in two dimensions has a step length of A_i and the direction of the steps is uniformly distributed in [0, 2π). The change in position after each step can be written in Cartesian coordinates (Δx, Δy), where Δx = A_i cos(θ_i) and Δy = A_i sin(θ_i).

The displacement from the center after n steps is given by the vector sum of all the individual steps. This vector sum can be written in terms of its Cartesian coordinates, (X, Y), where X = Σ Δx and Y = Σ Δy. This sum over n random vectors is itself a random variable. The net displacement R(n) from the center of the star after n steps is given by the magnitude of the net displacement vector:

R(n) = √(X² + Y²)

Because each step is independent and has a random direction, the expected value of the cosine and sine for any step is zero. This means that the expected values of X and Y are both zero.

However, the mean square displacement is not zero. Because the steps are independent, the mean square displacement in each direction is additive. For a 2D random walk:

<X²> = Σ <(Δx)²> = n <(A cos θ)²> = n A²/2

<Y²> = Σ <(Δy)²> = n <(A sin θ)²> = n A²/2

Because <X²> = <Y²>, we can write:

<R²> = <X²> + <Y²> = n A²

So, the root mean square distance (the square root of the mean square displacement) after n steps is:

R(n) = √(<R²>) = √(n) * A

Therefore, the distance R(n) that the photon is expected to be from the center of the star after n steps grows as the square root of the number of steps, with each step having a length A. Please note that this result holds for a 2D random walk. A real photon in a star would be performing a 3D random walk, which would have slightly different characteristics.

which statement is true of all proteins
a. there main function is to cause mutations
b. their struggle is related to there function
c. they carry oxygen in human blood
d. they are created by mutations in D.N.A

Answers

None of the statements are true of all proteins. Here is a correct statement about proteins:

Proteins are large, complex molecules that perform a wide variety of functions in the body, such as catalyzing metabolic reactions, replicating DNA, responding to stimuli, and transporting molecules from one location to another. They are made up of chains of amino acids, which are linked together in a specific sequence determined by the genetic code. Protein structure and function is highly dependent on the specific sequence of amino acids in the protein, and proteins can take on a wide variety of shapes and sizes, ranging from small, globular proteins to large, fibrous proteins.

-3 *10^-5 c Point charge placed at the origin of the coordinates Calculate the electric field at a point x=5m on the x axis

Answers

Answer: This is the best I could do.

Explanation:

-3 *10^-5 c Point charge placed at the origin of the coordinates Calculate the electric field at a point

following are the results of a sieve analysis. draw a particle-size distribution curve and determine cu

Answers

In order to plot each sieve % on the distribution curve, you must divide the entire mass of the sample material by the weight that was either retained or that passed thru every sieve.

What does the sieving method's particulate size distribution mean?

As the asymmetric energy sieve method directly provides weight distribution, sieve methodology provides sieve diameter, which is determined as the micrometer of the globe that passes through the sieve aperture. By using the sieve process, particles of sizes between 50 and 1500 m are estimated.

Which two forms of particle size estimation are there?

Adaptive mien scattering and laser particulate analyzers are two of the primary categories of particle size analyzers. Particles in solutions are measured by dynamic light diffracted analyzers between 0.6 nm and For particle in a substance that are between 10 nm and 3 mm in size, analyzers are utilized.

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Which of the following shows evidence of the carbon cycle?
a. A fox getting its energy from a mouse and a mouse getting its energy
from the grass.
b. Plants growing in a greenhouse.
c. Water falling as rain then evaporating back into the atmosphere.
d. A river flowing to the ocean.

Answers

A fox getting its energy from a mouse and a mouse getting its energy from the grass  shows evidence of the carbon cycle

What is the carbon cycle?

The carbon cycle is a necessary component within the global interchange between living species and the environment.

Through photosynthesis, plants absorb carbon dioxide from the atmosphere and convert it into vitalizing organic matter for consumption by animals; these organisms expend the energy obtained and consequently expel carbon dioxide back up into the air via respiration.

Moreover, when animals meet their demise and decompose, the carbon in their bodies is redeposited into Earth's soil only to eventually be delivered once again to the atmosphere through erosive activities or those generated from volcanoes.

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*Question*
I am a thing, when you get hold of me I will be with you while while am in my natural environment. But when you take me from my environment I will leave you after a while. What am I ?

Answers

Answer:

A breath

Explanation:

When you are in your natural environment, you naturally breathe in the air around you. But if you were to take a breath of air and hold it in your lungs, eventually you would have to exhale and the breath would leave you. Similarly, if you were to be taken out of your natural environment (such as being underwater or in space), you would not be able to breathe and would eventually die without a source of oxygen.

A current of 4.00 mA flows through a copper wire. The wire has an initial diameter of 4.00 mm which gradually tapers to a diameter of 1.00 mm. The wire length is
2.00 m and copper has a number density of 8.50 × 1028 m–3.

Find the change in mean drift velocity for electrons as they pass from one end of the wire to the other and therefore calculate the average acceleration of the electrons.

Answers

The change in mean drift velocity for electrons as they pass from one end of the wire to the other is 3.506 x 10⁻⁷ m/s and average acceleration of the electrons is 4.38 x 10⁻¹⁵ m/s².

The given parameters;

Current flowing in the wire, I = 4.00 mAInitial diameter of the wire, d₁ = 4 mm = 0.004 mFinal diameter of the wire, d₂ = 1 mm = 0.001 mLength of wire, L = 2.00 mDensity of electron in the copper, n = 8.5 x 10²⁸ /m³

The initial area of the copper wire;

\(A_1 = \frac{\pi d^2}{4} = \frac{\pi \times (0.004)^2}{4} =1.257\times 10^{-5} \ m^2\)

The final area of the copper wire;

\(A_2 = \frac{\pi d^2}{4} = \frac{\pi (0.001)^2}{4} = 7.86\times 10^{-7} \ m^2\)

The initial drift velocity of the electrons is calculated as;

\(v_d_1 = \frac{I}{nqA_1} \\\\v_d_1 = \frac{4\times 10^{-3} }{8.5\times 10^{28} \times 1.6\times 10^{-19} \times 1.257\times 10^{-5}} \\\\v_d_1 = 2.34 \times 10^{-8} \ m/s\)

The final drift velocity of the electrons is calculated as;

\(v_d_2 = \frac{I}{nqA_2} \\\\v_d_2 = \frac{4\times 10^{-3} }{8.5\times 10^{28} \times 1.6\times 10^{-19} \times 7.86\times 10^{-7}} \\\\v_d_2 = 3.74\times 10^{-7} \ m/s\)

The change in the mean drift velocity is calculated as;

\(\Delta v = v_d_2 -v_d_1\\\\\Delta v = 3.74\times 10^{-7} \ m/s \ -\ 2.34 \times 10^{-8} \ m/s = 3.506\times 10^{-7} \ m/s\)

The time of motion of electrons for the initial wire diameter is calculated as;

\(t_1 = \frac{L}{v_d_1} \\\\t_1 = \frac{2}{2.34\times 10^{-8}} \\\\t_1 = 8.547\times 10^{7} \ s\)

The time of motion of electrons for the final wire diameter is calculated as;

\(t_2 = \frac{L}{v_d_1} \\\\t_2= \frac{2}{3.74 \times 10^{-7}} \\\\t_2 = 5.348 \times 10^{6} \ s\)

The average acceleration of the electrons is calculated as;

\(a = \frac{\Delta v}{\Delta t} \\\\a = \frac{3.506 \times 10^{-7} }{(8.547\times 10^7)- (5.348\times 10^6)} \\\\a = 4.38\times 10^{-15} \ m/s^2\)

Thus, the change in mean drift velocity for electrons as they pass from one end of the wire to the other is 3.506 x 10⁻⁷ m/s and average acceleration of the electrons is 4.38 x 10⁻¹⁵ m/s².

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Answer:

The change in mean drift velocity for electrons as they pass from one end of the wire to the other is 3.506 x 10⁻⁷ m/s and average acceleration of the electrons is 4.38 x 10⁻¹⁵ m/s².

The given parameters;

Current flowing in the wire, I = 4.00 mA

Initial diameter of the wire, d₁ = 4 mm = 0.004 m

Final diameter of the wire, d₂ = 1 mm = 0.001 m

Length of wire, L = 2.00 m

Density of electron in the copper, n = 8.5 x 10²⁸ /m³

The initial area of the copper wire;

The final area of the copper wire;

The initial drift velocity of the electrons is calculated as;

The final drift velocity of the electrons is calculated as;

The change in the mean drift velocity is calculated as;

The time of motion of electrons for the initial wire diameter is calculated as;

The time of motion of electrons for the final wire diameter is calculated as;

The average acceleration of the electrons is calculated as;

Thus, the change in mean drift velocity for electrons as they pass from one end of the wire to the other is 3.506 x 10⁻⁷ m/s and average acceleration of the electrons is 4.38 x 10⁻¹⁵ m/s².

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Explanation:

g A 47.3 kg girl is standing on a 162 kg plank. The plank, originally at rest, is free to slide on a frozen lake, which is a flat, frictionless surface. The girl begins to walk along the plank at a constant velocity of 1.36 m/s relative to the plank. What is her velocity relative to the ice surface

Answers

Answer:

Explanation:

mass of the girl m₁ = 47.3 kg

mass of the plank m₂ = 162 kg

velocity of the girl with respect to surface = v₁

velocity of plank with respect to surface = v₂

v₁+ v₂ = 1.36

v₂ = 1.36 - v₁

applying conservation of momentum law to girl and plank.

m₁v₁ = m₂v₂

47.3 x v₁ = 162 x ( 1.36 - v₁ )

47.3 v₁ = 220.32 - 162v₁

209.3 v₁ = 220.32

v₁ = 1.05 m /s

What is the density of the liquid

What is the density of the liquid

Answers

Answer:

Just like a solid ,the density of a liquid equals the mass of the liquid by its volume;D=m/v. The density of the water is 1 gram per cubic centimeter. The density of a substance is the same regardless of the size of the sample.

If a baseball is held in the air at shoulder level then dropped to the ground, does it have more energy when it is held in the air at shoulder level or just before it hits the ground?

Answers

Answer:

it should not be dropping it goes up in the air then it goes down

) The graph in the figure shows the position of a particle as a function of time as it travels along the x-axis.
What is the average velocity of the particle between t = 2.0 s and t = 4.0 s?

Answers

The average velocity of the particle between t = 2.0 s and t = 4.0 s is 4 m/2.0 s = 2.0 m/s.

What is average velocity?

Average velocity is the rate of change of an object's position, expressed as a vector quantity that tells both the speed and direction of the object's motion.

The average velocity of the particle between t = 2.0 s and t = 4.0 s can be calculated by taking the difference in the x-position of the particle at t = 4.0 s and t = 2.0 s, and dividing it by the difference in the time.
The x-position of the particle at t = 2.0 s is 4 m and the x-position of the particle at t = 4.0 s is 8 m.
Therefore, the difference in the x-position is 8 m - 4 m = 4 m.
The difference in time is 4.0 s - 2.0 s = 2.0 s. Therefore, the average velocity of the particle between t = 2.0 s and t = 4.0 s is 4 m/2.0 s = 2.0 m/s.

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HI PLEASE HELP ON QUESTION ASAP USING AVERAGE (MEAN) TO ANSWER QUESTION! IF UR ANSWER AND EXPLAINATION IS CORRECT ILL RATE YOU FIVE STARS, A THANKS AND MAYBE EVEN BRAINLIEST. PLEASE MAKE SURE YOU ANSWER MY QUESTION USING AVERAGES.
1) a meal for 6 cost £12 per person. as it is one of the diners birthday , the other 5 decided to pay for his meal. how much do each of the five friends need to pay?

Answers

Each of the five friends needs to pay £12 to cover the cost of their own meals and contribute towards the birthday person's meal. Using mean allows us to distribute the cost equally among the friends, ensuring a fair division of expenses for the meal.

To determine how much each of the five friends needs to pay, we can use the concept of averages (mean) and divide the total cost by the number of people paying.

In this scenario, the total cost of the meal for 6 people is £12 per person. Since the other 5 friends have decided to pay for the birthday person's meal, they will collectively cover the cost of their own meals plus the birthday person's meal.

To calculate the total cost covered by the five friends, we can subtract the cost of one person's meal (since the birthday person's meal is being paid by the group) from the total cost. The cost of one person's meal is £12.

Total cost covered by the five friends = Total cost - Cost of one person's meal

= (£12 x 6) - £12

= £72 - £12

= £60

Now, to find out how much each of the five friends needs to pay, we divide the total cost covered by the five friends (£60) by the number of friends (5).

Amount each friend needs to pay = Total cost covered by the five friends / Number of friends

= £60 / 5

= £12

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12. A satellite is put into an orbit at a distance from the center of the Earth equal to twice the distance from the center of the Earth to the surface. If the satellite had a weight at the surface of 4000 N, what is the force of gravity (weight) of the satellite when it is in its orbit? Give your answer in newtons, N.

Answers

Answer:

Explanation:

F = GmM/d²

As gravity force is proportional to the inverse of the square of the distance,

doubling the distance will reduce the weight to a forth.

F' = GmM/(2d)²

F' = ¼GmM/d²

F' = ¼F = ¼(4000)

F' = 1000 N

03: Hook's law suggests that F is directly proportional to -x, how much true you have found this statement in your experiment? Explain any differences.​

Answers

Hooke's Law can be given as follows sometimes:

The restoring force of a spring is equal to the spring constant multiplied by the displacement from its normal position:

F = -kx

Where, F = Restoring force of a spring (Newtons, N)

k = Spring constant (N/m)

x = Displacement of the spring (m)

The negative sign relates to the direction of the applied force and by convention, the minus or negative sign is present in F = -kx. The restoring force F is directly proportional to the displacement (x), according to Hooke's law. When the spring is compressed, the displacement (x) is negative. It is zero when the spring is at its original length and positive when the spring is extended.

Practically, Hooke's Law is applicable only within a limited frame of reference, and through experimenting, this statement proves to be true. Because materials cannot be compressed beyond a certain size or expanded beyond a certain size without some permanent deformation or change of their original state.

The law only applies under some conditions such as a limited amount of force or deformation. Factually, many materials will noticeably deviate from Hooke's law even before those elastic limits are reached.

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