What is the force of gravity between an object that has a mass of 2,800,000 kg and another mass of 17,000,000 kg which are only 0.01 m apart?

Answers

Answer 1

Given,

The mass, m=2,800,000 kg=2.8×10⁶ kg

And another mass, M=17,000,000 kg=17×10⁶ kg

The distance between the two masses, r=0.01 m

The value of the gravitational constant is G=6.67×10⁻¹¹ m³·kg⁻¹·s⁻²

From Newton's universal law of gravitation, the gravitational force between two objects is directly proportional to the product of the mass of two objects and inversely proportional to the square of the distance between the objects.

Thus the gravity between the two given masses is

\(F=\frac{\text{GMm}}{r^2}\)

On substituting the known values,

\(\begin{gathered} F=\frac{6.67\times10^{-11}\times17\times10^6\times2.8\times10^6}{0.01^2} \\ =31.75\times10^6\text{ N} \end{gathered}\)

Thus the gravitational force between the two masses is 31.75×10⁶ N


Related Questions

The earth rotates on its axis with a period of 24 hours. What is the frequency in Hertz?

Answers

Answer:

The answer is 0.042 Hz (rounded)

or 0.0417 Hz

Explanation:

Hope it helps

Answer:

The answer is 0.041Hz

Explanation:

The answer is 0.041Hz

I guess

A crate of mass m1 = 14.00 kg is pulled by a massless rope up a 36.9° ramp. The rope passes over an ideal pulley and is attached to a hanging crate of mass m2 = 16.30 kg. The crates move 1.61 m, starting from rest.



Find the work done by gravity on the sliding crate.

Answers

The work done by gravity on the sliding crate is 176.6 J.

What is the work done by gravity on the sliding crate?

The work done by gravity on the sliding crate is calculated by applying the following formula.

W = Fd cosθ

W = mg x d cosθ

where;

m is the mass of the crateg is acceleration due to gravityd is the displacement of the crateθ is the angle of inclination of the rope

W = ( 14 kg x 9.8 m/s² ) x ( 1.61 m ) x cos ( 36.9 )

W = 176.6 J

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A 45 Kg object is given a net force of 500 n what is its approximate acceleration

Answers

Acceleration = force / mass = 500/45 = 11.1 m/s^2

The acceleration of the object is 11.11 m/\(s^2\) (approximately).

What is acceleration?

The rate of change of velocity of a body with respect to time is known as acceleration. Due to having both magnitude and direction, it is a vector quantity having SI unit m/s^2.

Given parameter,

The mass of the object, m = 45 Kg.

Net force acting on the object, F = 500 N.

Acceleration of the object, a= ?

From Newton's 2nd law of motion,

Force = mass × acceleration

⇒ F = ma

⇒ a = F/m

= 500 N /45 Kg

= 11.11 m/s^2. (approximate)

Hence, the approximate value of acceleration of the object, a = 11.11 m/s^2.

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Explain What's make up macromolecules?

Answers

Answer:

Atoms

Explanation:

Atoms make up everything

A 0.056 kg sample of an unknown substance is heated to 89.6 °C in a hot water tube. It is then quickly removed and placed into an insulated jar holding 188 ml of water initially at 132.8° F. The final equilibrium temperature of the system is 67° C. What is the specific heat of this unknown substance?

Answers

The specific heat of the unknown substance is 6.84 J/gºC

How do I determine the specific heat capacity?

First, we shall convert 132.8° F to ° C. Thisis illustrated below:

Temperature (° F) = 132.8 ° FTemperature (° C) =?

°C = (°F − 32) × 5/9

°C = (132.8 − 32) × 5/9

°C = 56 °C

Next, we shall determine the heat absorbed by the water. This is illustrated below:

Volume of water (V) = 188 mLDensity of water (d) = 1 g/mLMass of water (M) = dV = 1 × 188 = 188 gInitial temperature (T₁) = 56 °CFinal temperature (T₂) = 67 °CChange in temperature (ΔT) = 67 - 56 = 11 °CSpecific heat capacity of copper (C) = 4.184 J/gºC Heat absorbed (Q) =?

Q = MCΔT

Q = 188 × 4.184 × 11

Q = 8652.512 J

Finally, we shall determine the specific heat capacity of the unknown metal. This can be obtained as follow:

Heat absorbed (Q) = 8652.512 JHeat released (Q) = -8652.512 JMass of unknown substance (M) = 0.056 kg = 56 gInitial temperature (T₁) = 89.6 °CFinal temperature (T₂) = 67 °CChange in temperature (ΔT) = 67 - 89.6 = -22.6 °CSpecific heat capacity of unknown substance (C) = ?

Q = MCΔT

-8652.512 = 56 × C × -22.6

-8652.512 = C × -1265.6

Divide both sides by -1265.6

C = -8652.512 / -1265.6

C = 6.84 J/gºC

Thus, the specific heat capacity is 6.84 J/gºC

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In music, the note G above middle C has a frequency of about 392 hertz. If the speed of sound in the air is 340 m/s, what is the approximate wavelength of this note?(1 point)

0.87 meters

0.0026 meters

1.2 meters

8.7 meters

(cmmt if you wanna be added to a physics B ig gc)

Answers

Answer:

1.2 meter because the equa

Answer:

1.) 2 seconds

2.) 4.5 hertz

3.) it will become one third its original value

4.) 5.9 seconds

5.) 0.87 meters

Explanation:

just took the connexus quick check

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GUYS I NEED HELP RIGHT NOW

Answers

b you should know this no need to explain if you dont know well I'm sorry its b

2 similarities between potential energy and kinetic energy ​

Answers

Convert into each other and both are energy are 2 similarities between potential energy and kinetic energy .

Potential energy is a form of stored energy that is dependent on the relationship between different system components. When a spring is squeezed or extended, its potential energy increases. If a steel ball is lifted above the ground as opposed to falling to the ground, it has higher potential energy. It is capable of performing more work when raised. Potential energy is a characteristic of systems rather than of particular bodies or particles; for instance, the system made up of Earth and the elevated ball has greater potential energy as they get further apart.

Potential energy develops in systems having components whose configurations, or relative positions, determine the amount of the forces they apply to one another.

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Which Model represents a lithium isotope? Use your periodic table for this one!
Answer:-D

Which Model represents a lithium isotope? Use your periodic table for this one! Answer:-D

Answers

Answer:

The model D

Explanation:

The movement of the liquid in a thermometer shows changes in temperature. An increase in temperature indicates the molecules in the liquid *

Answers

Answer:

The movement of the liquid in a thermometer shows changes in temperature. An increase in temperature indicates the molecules in the liquid *

Explanation:

Two objects, one with a mass of 2 m and one with a mass of 4 m are attracted to each other
by a gravitational force. If the force on 2 m is F, what is the force on mass 4 m in terms of F?

Answers

It would be 7 M 4 m x 2 m equals 8 M - 1 =7

a question was asked by a teacher to a student. She gave the student a jumbled word and told him to make words out of it. The jumbled word is gzeysktqix. Now you know what to do. see ya!​

Answers

When the teacher asked the student to make words out of the jumbled word gzeysktqix, the student was being tested on his ability to unscramble words. Unscrambling words is the process of taking a word or series of letters that are out of order and rearranging them to form a word that makes sense.

When trying to unscramble a word, it is important to look for any patterns that can help identify smaller words within the jumbled letters. This can help make the process easier and quicker. For example, in the jumbled word gzeysktqix, one might notice that the letters "sktqix" appear together.

This could indicate that these letters could potentially form a word. By looking at the remaining letters, one could notice that the letters "g", "z", "e", and "y" could also form smaller words. After some rearranging, the letters can be unscrambled to form the words "sky", "zig", "sex", and "yet". These are just a few examples, as there are likely many other words that can be formed from this jumbled word.

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A 2.98-kg object oscillates on a spring with an amplitude of 8.05 cm. Its maximum acceleration is 3.55 m/s2. Calculate the total energy.

Answers

Answer:

a = ω^2 A      formula for max acceleration (ignoring sign)

V = ω A         formula for max velocity

V^2 = ω^2 A^2 = a A   from first equation

E = 1/2 M V^2 = 1/2 * 2.98 * 3.55 * .0805 = .426 J

(kg * m/sec^2 * m = kg m^2 / sec^2 = Joule

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Which of the following describes an advantage of AC electricity over DC electricity?

A) AC is found in most low voltage operations.
B) AC is provided as strong, short bursts of electricity.
C) AC can be transported over long distances.
D) AC can be used is small electronic devices.

Answers

It’s C “ Ac can be transported over long distances.”

How much power does it take to lift a 50 N object 10 m high in 20 seconds? |
and the units.

Answers

Answer:

\(\boxed {\boxed {\sf 25 \ Watts}}\)

Explanation:

Power is the work done divided by the time. It can be found using the following formula.

\(P=\frac{F*D}{T}\)

The force is 50 Newtons, the distance is 10 meters, and the time is 20 seconds.

\(F= 50 \ N \\D= 10 \ m \\T= 20 \ s\)

Substitute the values into the formula.

\(P=\frac{50 \ N * 10 \ m}{20 \ s }\)

Multiply the numerator first.

\(P=\frac{500 \ N*m}{20 \ s}\)

1 Newton meter is equal to 1 Joule. Therefore, the numerator is equal to 500 Joules.

\(P= \frac{500 \ J}{20 \ s}\)

Divide.

\(P= 25 \ J/s\)

1 Joule per second is equal to 1 Watt. Our answer is equal to 25 W

\(P= 25 \ W\)

It takes 25 Watts to lift a 50 Newton object 10 meters high in 20 seconds.

Suppose the student in (Figure 1) is 68kg, and the board being stood on has a 12kg mass. What is the reading on the left scale? What is the reading on the right scale?

Suppose the student in (Figure 1) is 68kg, and the board being stood on has a 12kg mass. What is the

Answers

The equilibrium conditions allow to find the results for the balance forces are:

F₁ = 225.4 N F₂ = 558.6 N

When the acceleration is zero we have the equilibrium conditions for both linear and rotational motion.

            ∑ F = 0

            ∑ τ = 0

           

Where F are the forces and τ the torques.

The torque  is the product of the force and the perpendicular distance to the point of support,

The free-body diagrams are diagrams of the forces without the details of the bodies, see attached for the free-body diagram of the system.

We write the translational equilibrium condition.

           F₁ - W₁ - W₂ + F₂ = 0

We write the equation for the rotational motion, set our point of origin at scale 1, and the counterclockwise turns are positive.

         F₂ 2 - W₁ 1 - W₂ 1.5 = 0\(\frac{W_1 \ 1 + W_2 \ 1.5}{2}\)

Let's calculate F₂

         F₂ = \(\frac{W_1 \ 1 + W_2 \ 1.5 }{2}\)  

         F₂ = (m g + M g 1.5)/ 2

         F₂ = \(\frac{(12 + 68 \ 1.5 ) \ 9.8}{2}\)  

         F₂ = 558.6 N

We substitute in the translational equilibrium equation.

         F₁ = W₁ + W₂ - F₂

         F₁ = (m + M) g - F₂

         F₁ = (12 +68) 9.8 - 558.6

         F₁ = 225.4 N

In conclusion using the equilibrium conditions we can find the forces of the balance are:

F₁ = 225.4 N F2 = 558.6 N

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Suppose the student in (Figure 1) is 68kg, and the board being stood on has a 12kg mass. What is the

this diagram shows the sectionary box sitting on the floor which statement about other force exerted on the box are true?


questions:

it's normal force exerted by the floor. it balances the gravitational force.

it's friction force exerted by the floor. it balances the gravitational force.

it's normal for exerted by the floor. does not balance the gravitational force.

it's an applied force exerted from the left. It doesn't balance the gravitational force.​

this diagram shows the sectionary box sitting on the floor which statement about other force exerted

Answers

Answer: A) It's a normal force exerted by the floor. It balances out the gravitational force.

The normal force pushes up which means the box doesn't go through the floor. The up and down forces are balance. If the normal force was larger than the gravitational force, then the box would be pushed up and float/jump in the air. But the box is stationary and not moving, so that's why we don't have any acceleration and the forces effectively cancel each other out. In a way you can think of it like a see-saw.

Friction would only come into play if you applied a force and were trying to move the box. Friction counteracts the applied force. If you push the box to the left, then the friction would push to the right. Friction slows down the box and it allows it to not slide forever.

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Is normal force equal to gravity?

The normal force on an object at rest on a flat surface is equal to the gravitational force on that object.

▀▄▀▄Is friction a gravitational force?

Friction is the resistance to motion of one object moving relative to another. It is not a fundamental force, like gravity or electromagnetism. Instead, scientists believe it is the result of the electromagnetic attraction between charged particles in two touching surfaces.

▀▄▀▄Can normal force be greater than gravity?

Can you imagine the situation when Normal force is greater than mg ? Yes. When an additional downward force F is applied to a mass m resting on a horizontal surface, the normal force is FN=F+mg. ... An example is the normal force on an incline plane with an angle of θ due to a mass m.▄▀▄▀▄▀▄

What is the direction of the force you applied?

An applied force is an interaction of one object on another that causes the second object to accelerate or change velocity or direction. The force can be a push, pull, or drag. The resulting direction of an object depends on the relative direction of the force on the object. A force equation is F = ma.

this diagram shows the sectionary box sitting on the floor which statement about other force exerted

A grade 12 Physics student shoots a basketball
from the ground at a hoop which is 2.0 m above
her release. The shot was at a velocity of 10 m/s
and at an angle of 80° to the ground.
a. Determine the vertical velocity of the ball
when it is at the level of the net. You
should get two answers.
Please show ALL steps

Answers

Answer:

7.84 m/s

Explanation:

Height, h = 2 m

Initial velocity, u = 10 m/s

Angle, A = 80°

(a) Let the time taken to go to the net is t.

Use second equation of motion

\(h = u t + 0.5 at^2\\\\- 2 = - 10 sin 80 t - 4.9 t^2\\\\4.9 t^2 + 9.8 t - 2 = 0 \\\\t= \frac{- 9.8\pm\sqrt{9.8^2 + 4\times 4.9\times 2}}{9.8}\\\\t = \frac{- 9.8 \pm 11.6}{9.8}\\\\t = - 2.2 s , 0.2 s\)

Time cannot be negative.

So, t = 0.2 s

The vertical velocity at t = 0.2 s is

v = u + at

v = 10 sin 80 - 9.8 x0.2

v = 9.8 - 1.96 = 7.84 m/s

Three identical 6.0-kg cubes are placed on a horizontal frictionless surface in contact with one another. The cubes are lined up from left to right and a force is applied to the left side of the left cube causing all three cubes to accelerate to the right at 2.0 m/s2. What is the magnitude of the force exerted on the middle cube by the left cube in this case

Answers

Answer:

24 Newtons

Explanation:

The force exerted in the middle cube needs to be enough to move the middle cube and the right cube with an acceleration of 2 m/s2.

The mass of those two cubes combined is 6 + 6 = 12 kg

So, using the following equation, we can find the force:

Force = mass * acceleration

Force = 12 * 2

Force = 24 Newtons

Gretchen runs the first 4.0 km of a race at 5.0 m/s. Then a stiff wind comes up, so she runs the last 1.0 km at only 4.0 m/s.
If she runs fhe same course again, what constant speed would let her finish in the same time as in the first race?

Answers

Answer:

The velocity is \(v = 4.76 \ m/s\)

Explanation:

From the question we are told that

   The first distance is   \(d_1 = 4.0 \ km = 4000 \ m\)

   The  first speed  is  \(v_1 = 5.0 \ m/s\)

    The  second distance is  \(d_2 = 1.0 \ km = 1000 \ m\)

    The  second speed  is  \(v_2 = 4.0 \ m/s\)

Generally the time taken for first distance is  

      \(t_1 = \frac{d_1 }{v_1 }\)

        \(t_1 = \frac{4000}{5}\)

       \(t_1 = 800 \ s\)

The time taken for second  distance is

           \(t_1 = \frac{d_2 }{v_2 }\)

        \(t_1 = \frac{1000}{4}\)

       \(t_1 = 250 \ s\)

The total time is mathematically represented as

     \(t = t_1 + t_2\)

=>   \(t = 800 + 250\)

=>    \(t = 1050 \ s\)

Generally the constant velocity that would let her finish at the same time is mathematically represented as

      \(v = \frac{d_1 + d_2}{t }\)

=>    \(v = \frac{4000 + 1000}{1050 }\)

=>    \(v = 4.76 \ m/s\)

The constant speed that will let her finish in the same time as in the first race is 4.76 m/s

Determination of the time taken for first 4 KmDistance = 4 Km = 4 × 1000 = 4000 mSpeed = 5 m/sTime 1 =?

Time 1 = distance / speed

Time 1 = 4000 / 5

Time 1 = 800 s

Determination of the time taken for the last 1 KmDistance = 1 Km = 1 × 1000 = 1000 mSpeed = 4 m/sTime 2 =?

Time 2 = distance / speed

Time 2 = 1000 / 4

Time 2 = 250 s

Determination of the constant speedTotal distance = 4000 + 1000 = 5000 mTotal time = 800 + 250 = 1050 sConstant speed =?

Constant speed = Total distance / total time

Constant speed = 5000 / 1050

Constant speed = 4.76 m/s

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why does the picture on a tv screen become distorted when a magnet is brought near the screen

Answers

When a magnet is brought close to the picture tube, the interaction between the flying electrons and the magnetic field creates a force that throws the electrons off course. Now the electrons are hitting the screen in places they were not intended to strike and the picture becomes distorted.

When a television receives a signal, it first splits off the audio (sound) signal and the picture signal from a carrier wave (which is used to allow the signal to be transmitted over long distances). The audio is sent straight to the speakers to produce sound. The picture signal consists of three elements, red, green and blue. A standard television has three 'electron guns' at the back of the set, one for each colour. Let's start by looking at the red signal. The red signal is fed into one of these 'guns'. The gun produces a beam of electrons that varies in intensity with the strength of the red signal. This beam is fired towards the tv screen. The electron beam starts at the top-left of the screen and magnetic fields are used to 'sweep' this beam across the screen in parallel horizontal lines (if you look closely at a tv screen you can see these lines). UK televisions (PAL) have 625 lines and update the picture 25 times per second, US televisions (NTSC) have 525 lines but update 30 times per second. The back of the tv screen is covered in phosphor 'dots' (pixels) which glow when they are struck by these electrons. The red-signal electron beam is aimed so that it strikes phosphor dots that glow red, emitting photons which the eye can detect. The same process occurs for green and blue; each colour signal goes to one particular electron gun which excites just the dots of that colour, the signal tells the gun how strong it should be which in turn means some dots glow brighter than others. When you sit back from the tv screen, you don't notice the dots nor the flicker, your eye blends the image together to give a clear picture which appears to move. Now to answer the question! A magnet distorts the picture as it distorts the path of electrons flowing from the electron gun towards the screen inside the tv. As electrons are negatively charged particles, their motion is distorted by a magnet. So it is these electrons, not photons, which are distorted by the magnet. On older tvs, damage caused by holding a magnet too close to a tv could be permanent; newer tvs tend to have a demagnetisation process when you switch them on, to ensure that the picture is not permanently distorted. ehehe..

List the 6 questions you may apply to formulating a logical, reasonable perspective to any situation.

Answers

Steps to formulate a logical, reasonable perspective to any situation are: gather information, identify problem, analyze the situation, consider assumptions, generate solutions, evaluate options, consider your values, make decision and monitor and adjust

What are the 6 questions that may be applied to formulate logical, reasonable perspective to any situation?

Here are the six questions that you can apply to formulating a logical, reasonable perspective to any situation:

What are the issues that should be addressed?

What are the relevant facts and data related to this problem or issue?

What assumptions am I making about the problem or issue?

What are the possible solutions or outcomes, and what are the pros and cons of each?

What are my values and priorities related to this problem or issue?

What additional information do I need to make an informed decision or come to a reasonable conclusion?

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An electric iron is Mark 120 volts and 500 Watts to units consumed by it in using it for 24 hours will be

Answers

An electric iron is marked 120 volts and 500 Watts. The units consumed by it in using it for 24 hours can be calculated using the formula:Power (in watts) = Voltage (in volts) x Current (in amperes)P = V x I

Using the above formula, we can find the current drawn by the electric iron as follows:I = P/VI = 500/120I = 4.17 ATherefore, the power consumed by the electric iron in 24 hours is:P = VI x tP = 120 x 4.17 x 24P = 120 x 100.08P = 12010.56 watt-hoursTo convert watt-hours to kilowatt-hours, we divide by 1000: Energy consumed = 12010.56 / 1000Energy consumed = 12.01 kWhHence, the units consumed by the electric iron in 24 hours is 12.01 kilowatt-hours.

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1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point. What is the heat of fusion of the substance?

Answers

1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point ,  the heat of fusion of the substance is 548 joules .

What is heat of fusion ?

Heat of fusion, also known as enthalpy of fusion or latent heat of fusion, is the amount of energy required to melt or freeze a substance under constant pressure conditions. When it comes to chemistry, "fusion" is basically synonymous with "melting." In the classroom, heat of fusion is typically used when a substance is at its melting or freezing point. In such instances, most people consider heat of fusion to be a constant.

Water, for example, has a heat of fusion of 334 J/g at its melting point of 0°C. At 0°C, one grams  of liquid water requires 334 Joules of energy to completely freeze into ice. In addition, one grams of ice requires 334 Joules of energy to melt entirely.

q = m×∆Hf

q: Total change in heat energy (in Joules)

∆Hf: Heat of fusion of substance (in Joules per gram)

m: Mass of substance (in grams)

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you made $100,000 this year. you have $0 in adjustments, $11,500 in deductions and $7,300 in exemptions. What is your taxable increase?

Answers

The tax rate you will pay is displayed in tax brackets for each category of taxable income.

Thus, For instance, in 2022, the first $10,275 of your taxable income is subject to the lowest tax rate of 10% if you are single.

Up until the maximum amount of your taxable income, the following portion of your income is taxed at a rate of 12%.

As taxable income rises, the tax rate rises under the progressive tax system. Overall, this has the result that taxpayers with higher incomes often pay a greater rate of income tax than taxpayers with lower incomes.

Thus, The tax rate you will pay is displayed in tax brackets for each category of taxable income.

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Triple expansion steam engines were used extensively to power ocean liners like the Titanic. They worked via high steam pressure that was gradually decreased as it travelled from one cylinder to another due to the principles of Charles’ law. The first cylinder was the smallest and the last had the largest volume. If it enters the first cylinder (100 Liters) at 18.9 atm and exits the last at 1.7 atm, what is its final Volume?

Answers

Given

\(\begin{gathered} P_1=18.9\text{ atm} \\ V_1=100\text{ L} \\ P_2=1.7\text{ atm} \end{gathered}\)

The ideal gas equation is given as,

\(PV=nRT\)

Here, n is the number of moles, R is the universal gas constant and T is the temperature (constant).

Therefore,

\(PV=\text{const}\)

Hence,

\(P_1V_1=P_2V_2\)

Therefore, the final volume V_2 is given as,

\(V_2=\frac{P_1V_1}{P_2}\)

Substituting all known values,

\(\begin{gathered} V_2=\frac{18.9\text{ atm}\times100\text{ L}}{1.7\text{ atm}} \\ =1111.76\text{ L} \end{gathered}\)

Therefore, the final volume is 1111.76 L.

A set of lights consists of 20 lamps connected in series to the 230 V mains electricity supply. 1. (a) When the lights are switched on and working correctly, the current through each lamp is 0.25 A. (i) What is the total current drawn from the mains supply?

Answers

The total current that is drawn from the mains supply is 5 A.

What is current?

The term current has to do with the flow of charges in a circuit. Now we have been told that A set of lights consists of 20 lamps connected in series to the 230 V mains electricity supply. It was also said in the question that when the lights are switched on and working correctly, the current through each lamp is 0.25 A.

Now we have the following information;

Current passing through each lamp = 0.25 A

Number of lamps = 20 lamps

Hence;

Total current = 0.25 A * 20

= 5 A

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An insect lands 0.1m from the centre of a turn table while the record is turning at 55 rev/min at what linear speed will the insect be carried
collision with the near stationary photograph

Answers

The linear speed will be the insect be 0.5759 meter/second carried collision with the near stationary photograph.

What is speed?

Speed is distance travelled by the object per unit time. Due to having no direction and only having magnitude, speed is a scalar quantity With SI unit meter/second.

Given that an insect lands 0.1m from the center of the turn table.

Rotational speed of the turn table = 55 rev/min

= (55×2π/60) rad/second

= 5.759 rad/second.

Hence, the speed of the insect be = Rotational speed × length

= 5.759 rad/second × 0.1 M.

= 0.5759 meter/second.

Therefore, the speed of the insect be 0.5759 meter/second.

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A ray of light traveling in water hits a glass surface. The index of refraction of the water is 1.33, and that of the glass is 1.50. At what angle with the plane of the surface must the incident ray strike the glass in order that the polarization of the reflected ray is the greatest

Answers

Answer:

\(\mu=41.5\textdegree\)

Explanation:

From the question we are told that:

Water index of refraction \(i_w=1.33\)

Glass index of refraction \(i_g=1.50\)

Generally the equation for Brewster's law is mathematically given by

 \(\theta=tan^{-1}(\frac{i_g}{i_w})\)

 \(\theta=tan^{-1}(\frac{1.50}{1.33})\)

 \(\theta=48.44 \textdegree\)

Therefore Angle of incident to plane  \mu (normal at 90 degree to the surface)

 \(\mu=90\textdegree-\theta\)

 \(\mu=90\textdegree-48.44\textdegree\)

 \(\mu=41.5\textdegree\)

A ball is thrown up at a 60 degree angle and lands in 18.5 seconds. what is the initial velocity of the ball?

Answers

Given :-

\( \sf \bullet \: \theta = {60}^{ \circ} \)

\( \sf \bullet \:Time \: of \: flight , \: t = 18.5 \: s\)

To Find :-

\( \bullet \sf \: Initial \: velocity , \: u\)

Solution :-

\( \bf \star\boxed{ \bf t = \dfrac{2u \: sin \theta}{g} }\)

\( : \implies \sf 18.5 = \dfrac{2u \: sin60}{10} \)

\( : \implies \sf \: 2u \: sin60 = 185\)

\(: \implies \sf u = \dfrac{185 \times 2}{ \sqrt{3} \times 2 } \)

\(: \implies \sf u = \dfrac{185}{1.73} \)

\( \bf: \implies u = 107 \: m {s}^{ - 1} \)

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