does wi-fi, cellphone or microwave radiation cause serious damage to our bodies? why or why not?

Answers

Answer 1

Answer: No. Wifi, Cellphone or Microwave radiations does not affect human health.

Explanation:

There is no scientific studies that prove that non iodizing radiation have an adverse effect on human health. Any forms of cellular or satellite communications use non iodizing radiations. So even we use them for extended period of time they seems to be quite safe. As for microwave as well as radio waves and visible light , they all are non iodizing radiation. The one that may cause any ill effect on human body will be the UV radiations which is not in any of these. So all these are quite safe to use and amazing technology to make human lives better.


Related Questions

How can we show that air can do work?​

Answers

Air can do work when it exerts a force on an object and causes it to undergo displacement. The ability of air to do work is evident in various phenomena, such as wind pushing sails, fans moving objects, and air pressure powering pneumatic systems.

Air can do work through its ability to exert a force over a distance. Work is defined as the transfer of energy that occurs when a force is applied to an object and it undergoes displacement in the direction of the force. When air is in motion, it possesses kinetic energy and can exert a force on objects in its path, thus performing work.

To understand how air can do work, we can consider the example of a moving fan. When a fan is turned on, the blades start to rotate, creating a flow of air. As the air moves, it carries kinetic energy. When the moving air encounters an object, such as a piece of paper, the air molecules collide with the paper's surface and exert a force on it. This force causes the paper to move and displaces it from its initial position.

The work done by the air can be calculated using the equation:

Work = Force * Distance * cos(θ)

Where Force is the magnitude of the force exerted by the air, Distance is the displacement of the object, and θ is the angle between the direction of the force and the displacement.

In the case of air doing work on an object, the force exerted by the air is perpendicular to the direction of motion, resulting in θ = 90 degrees. Since cos(90) = 0, the equation simplifies to:

Work = Force * Distance * 0

Therefore, the work done by the air on the object is zero when the force exerted by the air is perpendicular to the displacement.

However, if the force exerted by the air is not perpendicular to the displacement, such as when blowing air at an angle to move an object, then work is performed. The air exerts a force on the object and causes it to move in the direction of the force, resulting in the transfer of energy.

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which model best represents a pattern

Answers

Where is the options ?

Answer:

A

Explanation:


A crate with a mass of 1000 kg is being pulled along greased tracks by a winch. The winch is exerting a force of 2000 N
in the horizontal direction along the tracks. The coefficient of kinetic friction between the crate and the tracks is 0.2.

20. What is the net force acting on the crate in the horizontal direction?

21.
Using Newton's second law, calculate the crate's acceleration.

Answers

We are given:

Coefficient of Kinetic Friction = 0.2

Mass of the crate = 1000 kg

Force applied = 2000 N

Net force Acting on the crate in the Horizontal Direction:Normal Force applied on the Crate:

Normal force is the force applied on the object by the surface. It is equal and opposite to the force of gravity

So, we can say that Normal force = | Gravitational Force |

Normal Force = | mg |

Normal Force = 1000 * 9.8

Normal Force = 9800 N

Finding the Frictional Force:

We know that:

coefficient of Kinetic friction = Friction force / Normal force

replacing the known values

0.2 = Friction force / 9800

Friction Force=  0.2 * 9800

Friction Force = 1960 N

Net force acting on the Crate:

We know that a force of 2000 N is being applied on the crate in the Horizontal direction

Frictional force is always opposite to the horizontal force. So, we can say that:

Applied force - Friction Force = Net Force

replacing the variables

2000 - 1960 = Net force

Net Force = 40N

Therefore, a net force of 40N is being applied on the Crate

Acceleration of the Crate:

From newton's second law of motion:

F = ma

replacing the variables

40 = 1000 * a

a = 40/1000

a = 0.04 m/s²

Hence, the crate will have an acceleration of 0.04 m/s²

Net work W would accelerate an object from rest to velocity v. What net work is needed to accelerate the object from rest to velocity 2v?

Answers

The net work that is needed to accelerate a 2.0 kg mass from rest to velocity 2v is 4.0 m/s.

What is net work done?

When a force acts on a body at rest or at uniform motion in a straight line, then it starts to accelerate.

Given that, the velocity is 5.0

Time is 2 sec

The given mass is 2.0 kg

First, we calculate the acceleration

Acceleration = v / t = 10 / 5.0 = 2

From Newton's second law, we know that

force = mass x acceleration

F = ma

F = 2.0 x 2 = 4.0 m/s

Therefore, the net work that is needed to accelerate a 2.0 kg mass from rest to velocity 2v is 4.0 m/s.

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The question is incomplete. Your most probably complete question is given below:

What net force is needed to accelerate a 2.0 kg mass from rest to a velocity of 10 m/s in 5.0 s?

What does the term theory mean in science

Answers

i believe it is Not yet proven

Answer:

It is like a hypothesis. It is an idea of something.

Explanation:

A theory is a set of accepted beliefs or organized principles that explain and guide analysis and one of the ways that theory is defined is that it is different from practice, when certain principles are tested. ... This word is a noun and comes from the Greek theoria, which means "contemplation or speculation."

How are magnetic fields like vectors?

Answers

Answer:Magnetic fields from two sources add up as vectors at each point, so the strength of the field is not necessarily the sum of the strengths1. Magnetic fields are vectors, which means they have direction as well as size. Therefore, the sum of two magnetic fields is not simply the sum of their magnitudes2.

Explanation:

Discuss a method for making the L Block negatively -charged and the R block positively- charged.

Answers

It is essential to remember that the materials utilised, the kind of block, and the charge circumstances all affect how well these approaches work. To prevent breaking the blocks or hurting oneself, it's crucial to handle the blocks cautiously.

Rub the L block with a substance that has a strong propensity to give up electrons, such wool or silk, as one way to do this. The L block acquires electrons from the substance when it is rubbed against it, leaving the block with a net positive charge. Similar to this, you may rub the R block with anything that has a strong propensity to draw electrons, such hair or rubber. The R block will then receive electrons from the substance, leaving the block with a net negative charge as a result.

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last question, PLEASE help
An athlete wants your shoe company to make his/her new basketball shoe. He is known for his speed down the court and doesn't want his shoes to have any pattern on the outsole, the bottom of the shoe, because he thinks it would slow him down. How would you convince this athlete that a pattern is needed because friction is important in his game?​

Answers

Answer:

my answer is in explanation below

Explanation:

You would convince him by saying the pattern adds elevation to the shoe therefore causing more friction.

(If it's wrong, I am sorry, I'm not in college)

(If it's right, can I get that brainliest?)

two point charges are 3.0 cm apart and have values of 28.0x10−6 C and -17.0x10−6 C , respectively. What is the electric field at the midpoint between the two charges?

Answers

The electric field at the midpoint between the two charges is  determined as + 4.4 x 10⁸ N/C.

What is the electric field at the midpoint?

The electric field at the midpoint between the two charges is calculated as follows;

E = F/Q

E = kQ/r²

where;

k is the coulomb's constantQ is the magnitude of the charger is the distance between the two charges

The distance at midpoint between the charges is calculated as follows;

d = r/2 = 3 cm / 2 = 1.5 cm = 0.015 m

E = E₁  +  E₂

E = ( 28 x 10⁻⁶ x 9 x 10⁹ )/(0.015²) + (-17 x 10⁻⁶ x 9 x 10⁹ ) / ( 0.015² )

E = 1.12 x 10⁹  - 6.8 x 10⁸

E = 4.4 x 10⁸ N/C

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Why does an iceberg have more HEAT than a cup of coffee?

Answers

Answer:

The hot coffee has a higher temperature, but not a greater internal energy. Although the iceberg has less internal energy per mass, its enormously greater mass gives it a greater total energy than that in the small cup of coffee.

Explanation:

Answer:

The hot coffee has a higher temperature, but not a greater internal energy. Although the iceberg has less internal energy per mass, its enormously greater mass gives it a greater total energy than that in the small cup of coffee.

A 0. 16 kg hockey puck initially at rest on the ice requires a 0.157 N of horizontal force to set it in motion. Once the hockey puck is in motion, only a 0.047 N horizontal force is needed to keep it moving at a constant velocity.
a. Find the coefficient of static friction, Ms, between the puck and the ice.

Answers

Answer:

Approximately \(0.10\), assuming that \(g = 9.81\; {\rm N\cdot kg^{-1}}\) and a level surface.

Explanation:

Under the assumption, the normal force between the ice and the hockey puck is equal to the weight of the puck:

\(\begin{aligned}m\, g &= (0.16\; {\rm kg})\, (9.81\; {\rm N\cdot kg^{-1}}) \\ &\approx 1.57\; {\rm N}\end{aligned}\).

The friction on the puck is considered "static" when as long as the puck is not moving relative to that surface. In this question, the maximum value of this static friction is \(0.157\; {\rm N}\). When the external horizontal force exceeds \(0.157\; {\rm N}\!\), the puck would start moving relative to the ice.

Divide maximum static friction by the normal force to find the coefficient of static friction:

\(\begin{aligned}\mu_{s} &= \frac{(\text{maximum static friction})}{(\text{normal force})} \\ &\approx \frac{0.157\; {\rm N}}{1.57\; {\rm N}} \\ &\approx 0.10\end{aligned}\).

PLease help i will give brainliest

PLease help i will give brainliest

Answers

Answer:

1. False

2. Fats

3. False

Explanation:

MyPlate is an initiative from the United States Department of Agriculture that is designed to help Americans improve their eating habits throughout their lifetimes. Every meal matters. The five food groups represented in My Plate include vegetables, grain, dairy, protein foods, and fruits.

Calories are a source of energy for the human body. So, the more active a person is, the more energy he would need to be supplied to him in form of calories. The less active a person is, the fewer calories he would need.


Jamaal has done an experiment using a mirror to
investigate how light is reflected.
He measures the angle of incidence and the
angle of reflection. Here are his results plotted
on a graph.

a. Which result or results should be repeated?

b. Why?

C. Where should Jamaal draw a line of best fit?

Answers

a. The results should be repeated is 40.

b. because because it's not accurate.

c. Jamaal draw a line of best fit at the middle of the reflection angel and incidence angle.

With an example, what is the angle of incidence?

The angle created when a sunlight ray strikes a line that is perpendicular to a surface; for instance, a surface facing the sun directly has an angle of incidence of 0, while a surface parallel to the sun (such as sunlight striking a horizontal rooftop) has an angle of incidence of 90°.

The light ray that reflects off the surface is referred to as the reflected ray, and the angle at which the reflected ray reflects off the surface is referred to as the reflection angle. The law of reflection states that the angle of incidence and angle of reflection are equal.

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Describe how to demonstrate the thermal energy is dissipated from a cup of hot tea

Answers

Answer:

Explanation:

1. Place a cup of hot tea on a flat surface.

2. Place a thermometer in the tea and record the temperature.

3. Place a fan in front of the cup of tea and turn it on.

4. Place the thermometer in the tea again and record the temperature.

5. Compare the two temperatures and observe the difference.

6. The difference in temperature is an indication of the thermal energy that has been dissipated from the cup of hot tea.

In the circuit shown above, the switch S is open, the capacitor is uncharged, and the current through the battery is 0.5 A At what time is the current through the resistor in the middle branch 0.5 A?
O Immediately after the switch is closed B O When the circuit has reached steady state O Sometime between when the switch is closed and steady state is reached O At no time In which switch position, open or closed, can the current be the same in the left and right branches, and why? O Neither position, because the resistors in these branches have different resistances. O Both positions, because the current in the middle branch will be zero at some time for both positions. O Only when the switch is open, because then the resistors are in series. O Only immediately after the switch is closed, because then the equivalent resistance of the middle and right branches equals that of the left branch. What is the charge on the capacitor a long time after the switch is closed? A 1.0 μC B.1.5 μC C. 25 μC D 37.5 μC

Answers

Answer 1:-(D) at no time is the current through the resistor in the middle branch 0.5 A

Because whenever the switch is just closed, both branches share the same resistance and a current of 0.25 A flows. Following that, the current in the middle branch will decrease as time passes.

Answer 2:-(C) only when switch is open because then both resistor are in series.

Answer 3:-25 μC is the charge on the capacitor a long time after the switch is closed

When connected to a battery, a capacitor conducts for a brief time before becoming an open circuit. A transitory current flows when the capacitor plates charge when an uncharged capacitor C is linked to a potential V battery.

When connected to a battery, a capacitor conducts for a brief time before becoming an open circuit. A transitory current flows when the capacitor plates charge when an uncharged capacitor C is linked to a potential V battery.

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how much energy is possessed by 1 mole of nitrogen atoms moving at 35.0 m/s ?​

Answers

1 mole of nitrogen atoms moving at 35.0 m/s possesses approximately 27.8 joules of energy.

To calculate the energy possessed by 1 mole of nitrogen atoms moving at 35.0 m/s, we need to consider both the kinetic energy and the molecular mass of nitrogen.

The kinetic energy (KE) of an object is given by the equation KE = 1/2 * m * v^2, where m is the mass and v is the velocity.

The molar mass of nitrogen (N₂) is approximately 28.0134 g/mol, which can be converted to kilograms by dividing by Avogadro's number (6.022 × 10^23). This gives us a mass of approximately 4.65 × 10^(-26) kg for one nitrogen atom.

Plugging in the values, we have KE = 1/2 * (4.65 × 10^(-26) kg) * (35.0 m/s)^2.

Evaluating the equation, we find that the kinetic energy possessed by one nitrogen atom is approximately 4.62 × 10^(-23) joules.

Since we are considering 1 mole of nitrogen atoms, we need to multiply this value by Avogadro's number to get the energy possessed by 1 mole. Avogadro's number is 6.022 × 10^23, so the total energy is approximately 2.78 × 10^1 joules, or 27.8 J.

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a current of a 6 flows through a light bulb for 12 s, how many coulombs of charge pass through the light bulb during this time

Answers

A current of a 6 flows through a light bulb for 12 s. The total charge that passes through the light bulb during the given time is 72 coulombs.

To calculate the total charge that passes through the light bulb, we need to use the formula Q = I * t, where Q represents the charge in coulombs, I represents the current in amperes, and t represents the time in seconds.

Step 1: Identify the known values:

Current (I) = 6 amperes

Time (t) = 12 seconds

Step 2: Calculate the charge using the formula:

Q = I * t

Step 3: Substitute the known values into the formula:

Q = 6 amperes * 12 seconds

Q = 72 coulombs

Therefore, the total charge that passes through the light bulb during the given time is 72 coulombs.

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What would be Kelley's weight be in newtons if her mass was 70 kilograms

Answers

Answer:

Kelly's weight would be 688.47 Newtons.

Explanation:

1 Kilogram would be 9.81 Newtons.

It all depends on where Kelley is at the moment.

-- If she's on Mars, she weighs 229 N.

-- If she's on the Moon, she weighs 113N.

-- If she's on Earth, she weighs 686 N.

-- If she's in a space capsule coasting from one body to another, then there's no instrument that can measure any weight of her.

So it completely depends on where she happens to be at the moment.

For what type of power tool is it especially important to take precautions to prevent a tool component from coming loose and flying through the air

Answers

Answer:

The angle grinder especially

Explanation:

An angle grinder is a powered tool that is used for both cutting and grinding operation basically, it uses a cutting disc or a grinding disc depending on the type of operation to be performed.

The tool rotates on a very high speed some as high as 2500 rpm and others 11000 rpm so that when the disc fails and pulls out or break loose the danger can be very high, although the tool has a metal guard to protect the user should a disc breaks loose

20 points - Help me please with explanation of (A) and (B)​

20 points - Help me please with explanation of (A) and (B)

Answers

(a)to find voltage of battery we use the wire containg 4 ohm resistor and 3 ohm resistor

the voltage of 4ohm = Ri=4x1.5=6V

the voltage of 3 ohm = Ri=3x1.5=4.5v

since voltage is additive in series then Voltage of batteries = 4.5+6=10.5V

(b) the currrent flowing in 20 ohm resistor is the same as 8 ohm resistor so

Voltage of 8 ohm + voltage of 20 ohm= 10.5

8i+20i=10.5

28i=10.5

i=0.375 A

Which of the following is the largest quantity of mass: 100kg , 100,000 g; 100,000,000mg

Answers

Answer:

they are all the same

Explanation:

since every kg is 1000g and every g is 1000mg

100kg, 100,00g and 100,000,000 should be the same

A computer model is a very complex type of _______________ model.

Answers

Answer:

mathematical model

Explanation:

A computer model is a very complex type of mathematical model.

These complex mathematical models involves series of equations or algorithms known as set of instructions for the computer to perform difficult computations. These mathematical models include dynamical systems, statistical models, or differential equations.

On a test flight a rocket with mass 400 kg blasts off from the surface of the earth. The rocket engines apply a constant upward force F until the rocket reaches a height of 100 m and then they shut off.

Answers

If the rocket engines apply a constant upward force F until the rocket reaches a height of 100m and then shut off, the motion of the rocket can be described as a vertical projectile motion.

How calculate the constant upward force?

At the time of take-off, the rocket is at rest and has an initial velocity of 0 m/s. As the rocket engines apply a constant force F, the rocket will accelerate upward. The acceleration of the rocket can be determined by Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration (F = ma).

The upward force F will cause the rocket to accelerate upward until it reaches a height of 100 m. At this point, the engines shut off and the rocket will continue to move upward under the influence of gravity alone. As it reaches the highest point, its vertical velocity will be zero and it will start to fall back to the ground.

It's important to note that the force applied by the engines and the height reached by the rocket are not enough to calculate the velocity and trajectory of the rocket. More information such as time elapsed, the force of the engines and the air resistance is needed to have a more accurate picture of the situation.

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Activities 1. Find the force needed to accelerate a mass of 40kg from velocity v₁ = (4î - 5) + 3k)m/s to v = (8î + 3) - 5k)m/s in 10s​

Answers

The force needed to accelerate a mass of 40 kg from velocity v₁ = (4î - 5) + 3k)m/s to v = (8î + 3) - 5k)m/s in 10 seconds is 12.4 N.

Start by calculating the change in velocity (Δv) experienced by the object. This can be done by subtracting the initial velocity v₁ from the final velocity v.

Δv = v - v₁ = ((8î + 3) - 5k) - ((4î - 5) + 3k)

= 8î + 3 - 5k - 4î + 5 - 3k

= 4î - 8k + 8

Next, calculate the acceleration (a) using the formula:

a = Δv / t

where t is the time interval, given as 10 seconds.

a = (4î - 8k + 8) / 10

= (0.4î - 0.8k + 0.8) m/s²

The force (F) required to accelerate the object can be found using Newton's second law:

F = m * a

where m is the mass, given as 40 kg.

F = (40 kg) * (0.4î - 0.8k + 0.8) m/s²

= (16î - 32k + 32) N

Simplify the expression to obtain the final answer:

F = 16î - 32k + 32 N

≈ 12.4 N

Therefore, the force needed to accelerate a mass of 40 kg from velocity v₁ = (4î - 5) + 3k)m/s to v = (8î + 3) - 5k)m/s in 10 seconds is approximately 12.4 N.

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In a particular area of the country, electrical energy costs $0.12 per kilowatt-hour. (Round your answers, in dollars, to at least two decimal places.) (a) How much does it cost to operate an old-style incandescent 100-W light bulb continuously for 24 hours? $ (b) A modern LED light bulb that emits as much visible light as a 100-W incandescent only draws 16.0 W of power. How much does it cost to operate this bulb for 24 hours? $ (c) A particular electric oven requires a potential difference of 220 V and draws 20.0 A of current when operating. How much does it cost to operate the oven for 5.30 hours? $

Answers

Answer:

a) cost = $ 0.29 , b) cost = $ 0.046 ,  c) cost = $ 2.80

Explanation:

a) Let's find the energy consumed by this bulb, which is the product of the power and time

         energy = P t

         energy = 100 24 = 2400 W h

as the cost of energy is given in kWh we reduce this value

         Energy = 2400 Wh (1 kW / 1000W)

         Energy = 2.40 kWh

Calculate the cost of energy

           cost = 0.12 2.40

           cost = $ 0.288

           cost = $ 0.29

 

b) energy = 16.0  24 = 384 Wh

we reduce to kWh

      energy = 0.384 kWh

      cost = 0.12 0.384

      cost = $ 0.0461

      cost = $ 0.046

c) let's find the power consumed by the oven

       P = I V

       P = 20.0 220

       P = 4400 W

we look for the energy consumed

       energy = 4400  5.30

       energy = 23320 Wh

we reduce to kWh

       energy = 23.32 kWh

we calculate the cost of this energy

       cost = 0.12 23.32

       cost = $ 2,798

       cost = $ 2.80

An electron moving in the positive x direction, at right angles to a magnetic field,experiences a magnetic force in the positive y direction. What is the direction of themagnetic field?
positive x direction
negative x direction
positive y direction
negative y direction
positive z direction
negative z direction

Answers

An electron moving in the positive x direction, at right angles to a magnetic field, experiences a magnetic force in the positive y direction. The correct option is (A) Positive x direction

Because the electron is in y direction and it is always perpendicular to the magnetic field.The magnetic influence on moving electric charges, electric currents, and magnetic materials is described by a magnetic field, which is a vector field. A force perpendicular to the charge's own velocity and the magnetic field acts on it when the charge is travelling through a magnetic field. The magnetic field of a permanent magnet pulls on ferromagnetic substances like iron and attracts or repels other magnets. A magnetic field that varies with location will also exert a force on a variety of non-magnetic materials by changing the velocity of those particles' outer electrons.

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for stairway lighting, a typical installation is to install a 3-way switching system. for a dwelling, for stairway lighting control. t/f

Answers

True. A 3-way switching system is a common installation for stairway lighting control.

This system allows you to control the lights from two locations. For example, if you want to turn the lights on at the bottom of the stairs, you can use the switch at the top of the stairs. This allows you to turn the lights on when you come down the stairs and off when you go up the stairs.

It also allows you to turn the lights off at the bottom of the stairs, which is convenient if you are leaving the house. Additionally, it allows you to have a light on at the bottom of the stairs to provide a safety measure at night. The 3-way switching system is an effective and efficient way to control lighting in a dwelling.

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An object is moving forward along a straight path. Find the object’s position relative to it’s starting point if it moves 12.8 cm/s for 0.5 min.

Answers

The distance traveled by the object from its initial position is 384 cm.

Distance is the sum of an object's movements, regardless of direction. Without respect to the object's starting or finishing positions, distance can be defined as the amount of space it has traveled.

An object is moving in a straight path.

The speed of the object from its initial position is 12.8 cm/s.

The object is moving for 05 minutes.

Then, t = 0.5 min = 0.5 × 60 = 30 seconds.

Now, the speed of an object is the distance of the object per unit time.

Therefore,

s = d / t

d = s × t

d = ( 12.8 cm/s ) × ( 30 s )

d = 384 cm

Hence, the object's position from its initial position is 384 cm.

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A toy of mass 0.190-kg is undergoing SHM on the end of a horizontal spring with force constant k = 350 N/m . When the toy is a distance 0.0140 m from its equilibrium position, it is observed to have a speed of 0.400 m/s .
A) What is the toy's total energy at any point of its motion?
B) What is the toy's amplitude of the motion?
C) What is the toy's maximum speed during its motion?

Answers

Answer

a)0.0495 J

b)0.01681 m

c)0.7218 m/s

Explanation:

Given

Mass of the.toy M = 0.190 kg

force constant k = 350 N/m

Displacement from equilibrium x = 0.0140 m

Speed v = 0.400 m/s

a)What is the toy's total energy at any point of its motion?

The total energy at any point of it's motion can be calculated by adding together both the potential and kinetic energy of the toy, since it's posses potential energy when at rest and kinetic energy at motion

Total energy E = kinetic energy + potential energy

E = ¹/₂mv² + ¹/₂kx²

E = ¹/₂ (0.190)(0.4)² + ¹/₂ (350)(0.0140)²

E = 0.0495 J

Hence,the total energy is 0.0495 J

b) the amplitude of the motion can be calculated using below formula

Let amplitude = A

E = ¹/₂KA²

if we make Amplitude A the subject of the formula we have

A=√(2E/k)

But we have calculated our E up there, our K was given in question then if we substitute we have

A= √(2×0.0495)/350

Ans: 0.01681 m

Hence, our Amplitude is 0.01681 m

c) the the toy's maximum speed during its motion can be calculated using the expression below

Let maximum speed = vmax

E = (1/2)M * vmax^2

If we make vmax the subject of the formula we have

vmax =√(2E/m)

vmax= √(2×0.0495)/0.190

vmax=0.7218 m/s

Hence our vmax is 0.7218 m/s

3. A ray of light incident on one face of an equilateral glass prism is refracted in such a way that it emerges from the opposite surface at an angle of 900 to the normal. Calculate the i. angle of incidence. ii. minimum deviation of the ray of light passing through the prism [n_glass=1.52]

Answers

Answer:

i) angle of incidence;i = 29.43°

ii) δm = 38.92°

Explanation:

Prism is equilateral so angle of prism (A) = 60°

Refractive index of glass; n_glass = 1.52

A) Let's assume the incident angle = i and Critical angle = θc

We know that, sin θc = 1/n

Thus;

sin θc = 1/n_glass

θc = sin^(-1) (1/n_glass)

θc = sin^(-1) (1/1.52)

θc = 41.14°

Now, the angle of prism will be the sum of external angle that is critical angle and reflected angle.

Thus;

A = r + θc

r = A - θc

So;

r = 60° - 41. 14°

r = 18.86°

From, Snell's law. If we apply it to this question, we will have;

(sin i)/(sin r) = n_glass

Where;

i is angle of incidence and r is angle of reflection.

Let's make i the subject;

i = sin^(-1) (n_glass × sin r)

i = sin^(-1) (1.52 × sin 18.86)

i = sin^(-1) 0.4914

i = 29.43°

B) The formula to calculate minimum deviation would be from;

μ = [sin ((A + δm)/2)]/(sin A/2)

Where;

μ is Refractive index

δm is minimum angle of deviation

A is angle of prism

Now Refractive index is given by a formula; μ = (sin i)/(sin r)

So; μ = (sin 29.43)/(sin 18.86)

μ = 1.52

Thus;

1.52 = [sin ((60 + δm)/2)]/(sin 60/2)

1.52 * sin 30 = sin ((60 + δm)/2)

0.76 = sin ((60 + δm)/2)

sin^(-1) 0.76 = ((60 + δm)/2)

49.46 × 2 = (60 + δm)

98.92 - 60 = δm

δm = 38.92°

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