Write any 3 difference between work energy power​

Answers

Answer 1
Answer:

Work is referred to as the displacement of an object when a force (push or pull) is applied to it while energy is referred to as the capacity to do the work. It exists in various forms like potential, kinetic, chemical, thermal, nuclear, electrical energy and so on. Power is the work done per unit of time.

Types of Energy:Mechanical energy.Mechanical wave energy.Chemical energy.Electric energy.Magnetic energy.Radiant energy.Nuclear energy.Ionization energy.
Answer 2

power and energy are the same.
Work is usualy doing a task that gets rid of said energy.


Related Questions

The gas exchange in humans occurs in the alveoli where oxygen enters the blood stream and carbon dioxide enters the lungs for
exhalation. What major organ are alveoli located in?
O the heart
O the lungs
O the bronchi
O the brain

Answers

Answer: the lungs

Explanation: During gas exchange oxygen moves from the lungs to the bloodstream. At the same time carbon dioxide passes from the blood to the lungs. This happens in the lungs between the alveoli and a network of tiny blood vessels called capillaries, which are located in the walls of the alveoli.

With an average acceleration of -0.50 m/s^2, how long will it take a cyclist to bring a bicycle with an initial speed of 13.5 m/s to a complete stop?

Answers

The time taken for the bicycle to come to a complete stop with an initial velocity of 13.5 m/s is 27 seconds.

What is time?

Time can be defined as the calculable measure of motion with respect to before and afterness.

To calculate the time it takes the cyclist to bring the bicycle to complete stop, we use the formula below.

Formula:

t = (v-u)/a.......... Equation 1

Where:

t = Timev = Final velocityu = Initial velocitya = Acceleration

From the question,

Given:

v = 0 m/s (to stop)u = 13.5 m/sa = -0.5 m/s²

Substitute these values into equation 1

t = (0-13.5)/-0.5t = -13.5/-0.5t = 27 seconds.

Hence the time taken for the bicycle to stop completely is 27 seconds.

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A 5 kg body rests on a horizontal plane where it is missing frictional force. A force of 10N is applied at the angle of 37 ° over the plan, for a time of 5 s. How far does the body move during this time?

Answers

Answer:

the formula of acceleration

What is fluid friction

Answers

Fluid friction is an opposition to the ease movement of fluids known as viscosity.

What is fluid friction?

Fluid friction describes the friction between layers of a viscous fluid that are moving relative to each other.

Typically, fluid friction is a type of friction that exist in fluids and it is known as viscosity.

Fluid viscosity can be defined as the type of friction that act on fluid. It can also be defined as the measure of the resistance of a fluid to gradual deformation by shear or tensile stress.

Thus, the fluid friction is equal to fluid viscosity and it is the type of friction that exists only in fluids.

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You and a friend are astronauts. You push off eachother with a force of 50N. You both have a weight of 0 in space, but your mass is 110kg, and your friend’s is 80kg. Calculate the accelerations of both you and your friend

Answers

The force acting on a body in space is zero, hence the acceleration of the friends in space will be;

acceleration for the  110 kg person is 0.acceleration for the  80 kg person is 0.

What is the acceleration of a body?

The acceleration of a body is the rate of change of the velocity of the body.

The acceleration of a body, the mass of the body, and the force acting on the body are related by the formula below:

Mathematically:

Force = mass * acceleration

Hence,

acceleration = force / mass

The force acting on a body in space = 0 N

For a person having a mass of 110 kg;

acceleration = 0 / 110

Acceleration = 0

For a person having a mass of 110 kg;

acceleration = 0 / 80

Acceleration = 0

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Write the slope-intercept form of the given line. Include your work in your final answer.

Answers

The slope intercept form of given line is y = 1x+-1.

Solution:

y = mx+b

m = slope which is 1/1 because it is rise over run (rising 1, running 1)

b = y-intercept form which is -1 because that is where the line meets the y-axis.

The slope is the first number appearing in the equation. The slope is the coefficient of x, regardless of order. The intersection point is the point on the y-axis through which the slope of the line passes. The y-coordinate of the point where the line or curve intersects the y-axis. This is shown by writing the equation for the straight line y = mx+c. where m is the slope and c is the y-intercept.

The slope indicates how much the vertical changes for a given horizontal change. The shape of the slope intercept is actually equal to y plus MX plus b. It's called a slope-intercept shape because it has a slope and an intercept. The slope is defined as the ratio of the vertical change between two points to the horizontal change between the same two points.

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Disclaimer:- Your question is incomplete,please see below for the complete question.

Write the slope-intercept form of the given line. Include your work in your final answer.

Line is Y = mx +c

where m=1

c = -1

n his fishing trip, Justin rides in a boat 10 km south. The fish aren’t biting so they go 4 km west. They then follow a school of fish 1 km north. What distance did they cover? What was their displacement?

Answers

The displacement covered will be 9.85 km

The distance covered will be = 10 + 4 + 1 = 15 km

using Pythagoras theorem

[tex]H^{2} = P^{2} + B^{2}[/tex]

H  = [tex]\sqrt{4^{2} + 9^{2} }[/tex]

H  = [tex]\sqrt{97}[/tex]

H   = 9.85 km

The displacement covered will be 9.85 km

The distance covered will be = 10 + 4 + 1 = 15 km

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A block with an unknown mass is on a smooth tabletop attached to a string that is attached to a hanging block of mass of 3.6kg. If the blocks accelerate at 2.1 m/s^2 What is the mass of the block on the table? What is the Tension in the rope?

Answers

The mass of the block on the table is 2.33 kg.

The Tension in the rope is 4.9 N.

What is the mass of the block on the table?

The mass of the block on the table is calculated by applying Newton's second law of motion.

Newton's second law of motion states that the force applied on an object is directly proportional to the product of mass and acceleration of the object.

F = ma

where;

m is the mass of the blocka is the acceleration of the block

F(net) = ma

m₂g - m₁g = a(m₁ + m₂)

where;

m₂ is the mass of the hanging blocka is the acceleration of the blockm₁ is the mass of the block on table

m₂g - m₁g = m₁a + m₂a

m₂g  - m₂a = m₁a  + m₁g

m₂g  - m₂a = m₁(a + g)

3.6(9.8) - 3.6(2.1) = m₁(2.1 + 9.8)

27.72 = 11.9m₁

m₁ = 27.72 / 11.9

m₁ = 2.33 kg

The tension in the rope is calculated as follows;

T = m₁a

T = 2.33 kg x 2.1 m/s²

T = 4.9 N

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Exercise 2.42
A hot-air balloonist, rising vertically with a constant velocity of magnitude v=5.00 m/s, releases a sandbag at an instant when the balloon is a height h=40.0m above the ground (Figure 1). After it is released, the sandbag is in free fall. For the questions that follow, take the origin of the coordinate system used for measuring displacements to be at the ground, and upward displacements to be positive.
A) Compute the position of the sandbag at a time 0.245 s after its release.
B) Compute the magnitude of the velocity of the sandbag at a time 0.245s after its release.
C) Determine the direction of the velocity of the sandbag at a time 0.245 s after its release.
D) Compute the position of the sandbag at a time 1.15 s after its release.
E) Compute the magnitude of the velocity of the sandbag at a time 1.15 s after its release.
F) Determine the direction of the velocity of the sandbag at a time 1.15 s after its release.

Answers

The position and the velocity of the sandbag at a time 0.245 s after its release is 44.7 m and 2.599 m/s.

The position and the velocity of the sandbag at a time 1.15 s after its release are 38.52 m and -6.25 m/s.

What is the equation of motion?

The equations of motion can describe the relationship between the velocity, time, acceleration, and displacement of a moving object.

The equations of motions can be represented as:

[tex]v = u + at\\S = ut +\frac{1}{2}at^2\\ v^2-u^2=2aS[/tex]

Given, the maximum height of the sandbag, h = 40 m

The velocity of the sandbag moving upward, v = 5 m/s

Calculate the time taken by the ballon:

v = u -gt

0 = 5 -9.8×t

t = 0.51 s

The position of the sandbag at 0.245 s after its release:

[tex]y = h +v_ot-\frac{1}{2}gt^2[/tex]

[tex]y = 40 +5 -0.5\times 9.8\times (0.245)^2[/tex]

y = 44.70 m

The velocity of the sandbag at a time 0.245 s after its release:

v = v₀ - gt

v = 5 - (9.8)(0.245)

v = 2.599 m/s

The position of the sandbag at a time 1.15 s after its release:

[tex]y = h +v_ot-\frac{1}{2}gt^2[/tex]

[tex]y = 40 +5 -0.5\times 9.8\times (1.15)^2[/tex]

y = 38.52 m

The velocity of the sandbag at a time 1.15 s after its release:

v = v₀ - gt

v = 5 - (9.8)(1.15)

v = -6.25 m/s

The velocity is negative so the sandbag is going down.

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The period of Jupiter is known to be 11.9 years. Use this data to determine its average distance from the Sun.

Answers

The period of Jupiter is known to be 11.9 years then the average distance of Jupiter to the Sun is given to be  5.21 AU.

Kepler's laws of planetary motion :

According to this law, the semi-major axes of the planets' orbits are directly proportional to the squares of the planets' orbital periods.

period of the Jupiter = 11.9 years

radius of the earth = 1 AU

orbital period of the earth = 1 year

According to the Kepler's 3rd law of planetary motion :

T² ∝ R³

T² = k R³

k = T²/ R³

[tex]k = \frac{T^2_j}{R^3_j} = \frac{T^2_e}{R^3_e}[/tex]

T² /(R)³ = (1)² /(1)³

Rj  =  [tex]T^{\frac{2}{3}}[/tex]

T = 5.21 AU

The period of Jupiter is known to be 11.9 years then the average distance of Jupiter to the Sun is given to be  5.21 AU.

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After completing a workout/activity, it is best to use this type of stretching.

Answers

After completing a workout/activity, it is best to use Static stretching.

Static stretching is most effective at the quit of your workout. It includes stretches that might be held for a period of time to help extend and unfasten your muscle mass and connective tissue. that is special from a dynamic warmup due to the fact you hold your body nonetheless.

It is a good concept to do dynamic stretching before a workout, and static stretching after a workout, irrespective of what type of exercise you're doing. What you need to differ based on your workout is which muscle groups you are running, on account that it's crucial to warm up the muscle mass you are certainly going to be using.

A dynamic stretching heat-up gets you prepared for something exercising you're approximate to accomplish this is the first-rate form of stretch before an exercising while static stretching is quality for the stop of your workout.

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A person throws a ball up into the air, and the ball falls back toward Earth. At which point would the kinetic energy be the lowest?(1 point)
Responses

at a point before the ball hits the ground
at a point before the ball hits the ground

when the ball is at its highest point
when the ball is at its highest point

when the ball leaves the person’s hand
when the ball leaves the person’s hand

at a point when the ball is still rising
at a point when the ball is still rising

Answers

Answer:

highest point

Explanation:

at highest point , ball stops moving, velocity = 0

KE = 1/2 m v^2

     = 1/2 m ( 0)^2 = 0    at highest point

Bumper car A (282 kg) moving +2.82 m/s makes an elastic collision with bumper car B (210 kg) moving +1.72 m/s. What is the velocity of car A after the collision?​

Answers

The velocity of Car B after the collision is 4.856 m/s.

What is elastic collision?

A collision is considered elastic if it does not result in a net decrease in the system's kinetic energy. In an elastic collision, both momentum and kinetic energy are conserved.

In an elastic collision, the kinetic energy is essentially unchanged before and after the contact and is not changed into another type of energy.

Either one dimension or two dimensions are possible. Perfectly elastic collision is not feasible in reality since there will always be some energy exchange, no matter how tiny.

m1v1 + m2v2 = m1u1 + m2u2; where

m1= mass of object 1

m2= mass of object 2

v1= initial velocity object 1

v2= initial velocity object 2

u1= final velocity object 1

u2= final velocity object 2

m1v12/2 + m2v22/2 = m1u12/2 + m2u2/2

281·2.82 - 209·1.72 = 281u1 + 209u2;

281·2.822 + 209·(- 1.72)2 = 281u12 + 209u22;

281u1 + 209u2 = 432.94 and 281u12 + 209u22 = 2852.93

u1 = 1.05407 - 0.74377u2;

u1 = (10.15278 - 0.74377u2)1/2

u2 = 4.856 m/s

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A particle leaves the origin with a velocity of 7.2 m/s in the positive y direction and moves in the xy plane with a constant acceleration of (3.0 - 2.0) m/s2. At the instant the particle moves back across the x axis (y = 0), what is the value of its x coordinate?

Answers

When the particle reaches its maximum positive x coordinate, the displacement is 11.62m.

What is acceleration ?

The rate at which speed of velocity change over time is referred to as acceleration. When a point and object speeds or decelerates, it is moving straight ahead. Motion on a circular accelerates even while the speed is constant so because orientation is constantly changing.

Briefing:

The particle's displacement is computed as follows;

v² = u² + 2as

where;

a is acceleration

a = √(3² - 2²)

= 2.23 m/s²

0 = u² + 2as

s = -u²/2a

s = -(7.2²)/(2 x 2.23)

s = -11.62 m

When the particle reaches its maximum positive x coordinate, the displacement is 11.62m.

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joey is riding in an elevator which is accelerating upwards at 2.0 m/s2. The elevator weighs 300.0 kg, and Joey weighs 60.0 kg. What is the tension in the cable that pulls the elevator upwards?

Answers

Answer:

The tension in the cable is 1800 N.

Explanation:

About how much greater is the gravitational force exerted by the moon on the near side of the earth than on the far side?.

Answers

Difference in Gravity of 7%

The near side of the Earth is 12740 km closer to the Moon than the far side. As a result, the near side experiences a gravitational force that is 7% stronger than the far side.The force that pulls items toward the centre of a planet or other entity is called gravity. All of the planets are kept in orbit around the sun by gravity.Differential gravitational forces, or gravitational forces that are not equal across a body's finite size, are the fundamental mechanism.

Radius of the earth, r = 6.37*10^6

by solving ((Fn-Ff)/Fn)*100 answer will be of 7%

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Please help with these questions

Answers

3) unit of the following are :

a) force = Newton

b) distance = meter

c) work = Joule

4) 90 J work has been done by her

5) 51 J work was done

6) He have done  [tex]10^{4}[/tex] J  of work

7) no work is done

8) no work is done

9) 700 J is the work done on the car

10) 10.68 N  force is applied

3 ) unit of the following are :

a) force = Newton

b) distance = meter

c) work = Joule

4 ) work done = force * displacement

                       = 75 * 1.2 = 90 J

5 )  work done = force * displacement  

                        = 15 * 3.4 = 51 J

6 ) work done = force * displacement  

                        = 100 * 100 = [tex]10^{4}[/tex] J

7) no work is done because no displacement occurred

8)  no work is done because no displacement took place

9) work done = force * displacement

                        = 12.5 * 56 = 700 J

10)  force = work done / displacement

                = 142 / 13.3 = 10.68 N

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Why is the sun not the major factor in the tides?

Answers

Answer: the moon is closer.

Explanation:

The moon is closer to the earth than the sun, which results in a larger gravitational gradient for the moon even though the sun is considerably more massive and has stronger overall gravity than the moon.


Check all of the following combinations of elements that could
form a covalent bond.
O and H
Na and Cl
Ca and
N and Cl
C and O

Answers

Following combinations of elements that can form a covalent bond are:

N and Cl

C and O

What are covalent bonds?

Elements with very high ionization energies cannot transfer electrons, and elements with very low electron affinities cannot accept electrons. Atoms of such elements tend to share electrons with atoms of other elements or with other atoms of the same element, and both atoms acquire an octet arrangement in their respective valence shells, achieving stability increase. Such associations by sharing electron pairs between different species or the same species are known as covalent bonds.

Covalent bonds can be achieved in two ways.

By sharing electrons between atoms of the same kind. Formation of H2, Cl2, O2, etc. By sharing electrons between atoms of different types, such as the formation of CH4, H2O, NH3 etc.

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A bullet of mass m and speed v is fired at, hits and passes completely through a pendulum bob of mass M on the end of a stiff rod of negligible mass and length L. The bullet emerges with a speed of v/2 and the pendulum bob just makes it over the top of the trajectory without falling backward in its circular path. Determine an expression (V=?) for the minimum initial speed the bullet must have in order for the pendulum bob to just barely swing through a complete vertical circle. (Use any variable or symbol stated above as necessary.)

Answers

Required value of initial speed of the bullet be ( 4M/m)√(gL).

Given parameters:

Mass of the bullet =m.

Mass of the bob of the pendulum = M.

speed of the bullet before collision = v

Speed of the bullet after collision = v/2.

Length of the pendulum stiff rod = L.

Let speed transmitted to the pendulum be u.

Using principle of conservation of momentum:

mv = Mu + mv/2

⇒ Mu = mv/2

⇒ u = (m/M)v/2

We know that: to make the bob over the top of the trajectory without falling backward in its circular path, required speed be = √(4gL). [ where g = acceleration due to gravity]

To be minimum initial speed the bullet must have in order for the pendulum bob to just barely swing through a complete vertical circle:

u = √(4gL)

⇒  (m/M)v/2 = √(4gL)

⇒ v =( 4M/m)√(gL).

Hence, minimum required  speed of the bullet be ( 4M/m)√(gL).

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What is the most common cause to food born illnesses?

1.Biological hazards (people working while ill, not washing hands, improper temperature control)
2.Chemical hazards (poisonous substances like soaps, sanitizers, or pesticides)
3.Physical hazards (broken glass, jewelry, bandages, or fingernails)

Answers

Option 1. Biological hazards (people working while ill, not washing hands, improper temperature control),  is the most common cause to food born illnesses.

Infectious organisms or their toxins are the maximum commonplace reasons for food poisoning. Food poisoning symptoms may additionally include cramping, nausea, vomiting, or diarrhea. Maximum meal poisoning is slight and resolves without treatment. ensuring ok hydration is the maximum vital element of treatment.

Foodborne infection (food poisoning) is a result of consuming contaminated meals, beverages, or water and may be a diffusion of microorganisms, parasites, viruses, and/or pollution. lots of those pathogens can be received thru extra than simply food, drinks, or water.

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Question 5
The state of a sample of water depends on (location, temperature).
O No answer text provided.
O location
O Temperature
O No answer text provided.

Answers

Yes, the state of a sample of water depends on location and temperature.

What are the states of water and how does water's condition change as a result of temperature?

Pure water has no flavour, no aroma, and no colour. There are three different states of water: solid (ice), liquid, and gas (vapour). Ice is frozen water or solid water. Because the molecules of water expand as it freezes, ice is less dense than water. As ice will weigh less than the same volume of water, it will float in the liquid. At 32° Fahrenheit, or 0° Celsius, water freezes. Water that is liquid is moist and fluid. This is the type of water that we are most accustomed to. We use liquid water in a variety of ways, such as drinking and washing.

The air all around us is constantly filled with the vapour of water. It is not visible. When water is boiled, it transforms from a liquid to a gas or water. At ambient temperature, water is a liquid; however, when cold, it solidifies to form ice. If heated, the same water transforms into a gas known as water vapour. Only when the substance reaches a specific temperature do the modifications take place. Ice formation occurs at 32°F (0°C). It requires more energy to raise and lower the temperature of water because a large body of water has a higher heat capacity than land. As a result, cities near water typically have a more limited range of temperatures throughout the year.

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The gravitational force between two objects that are 2.1x10‐1 m apart is 3.2x10‐6 N. If the mass of one
object is 55 kg what is the mass of the other object? What will be their acceleration if they are released
from their position?

Answers

The mass of the other object is 18.11 kg and their acceleration  will be respectively 5.8 × 10⁻⁸ m/s² and 17.66× 10⁻⁸ m/s².

Given parameter:

The gravitational force between two objects : F = 3.2×10⁻⁶ N.

Distance between two objects : r =  2.1x10⁻¹ m.

The mass of one object m₁ = 55 kg.

The mass of other object m₂ =?

From universal gravitational law, we know that, force acting between two objects of mass m₁ and m₂ separated by a distance r is:

F = G m₁ m₂ / r²

Where, G = universal gravitational constant = 6.67 × 10⁻¹¹ N m⁻² kg⁻².

So, we can write,

 3.2×10⁻⁶ N = (6.67 × 10⁻¹¹ N m⁻² kg⁻²) (55 kg) m₂/( 2.1x10⁻¹ m)

⇒ m₂ = (3.2×10⁻⁶ N ×  2.1x10⁻¹ m )/ { (6.67 × 10⁻¹¹ N m⁻² kg⁻²) (55 kg)}

= 18.11 kg.

Hence, the mass of the other object is 18.11 kg.

So, acceleration of the object of mass 55 kg is:

a₁ = F/m₁ = 3.2×10⁻⁶/55  m/s² = 5.8 × 10⁻⁸ m/s².

The acceleration of the object of mass 18.11 kg is:

a₂ = F/m₂ = 3.2×10⁻⁶/18.11 m/s² =  17.66× 10⁻⁸ m/s².

Hence, their acceleration if they are released from their position will be respectively 5.8 × 10⁻⁸ m/s² and 17.66× 10⁻⁸ m/s².

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How could you demonstrate a magnetic field using your body?
Help pls

Answers

With the use of a magnetometer, the magnetism or magnetic field of the human body can be measured or demonstrated.

What is a Magnetometer?

A magnetometer is a device used to measure the magnetic field or the magnetic dipole moment. Magnetometers of various sorts measure the direction, intensity, or relative change of a magnetic field at a specific area.

A magnetometer is a scientific tool that measures the intensity of magnetic fields. Magnetometers may be used on land to locate iron ore reserves for mining.

Magnetometers are instruments that can detect the amount or direction of a magnetic field. They may be found practically anywhere in electronics. They might be as basic as the one used by your smartphone to identify whether it is upright or as complicated as the one used by NASA to assess Mars' magnetic field.

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Jay has a small marble that is very dense.
Which of the following accurately describes
the mass and volume of the marble?
small marble
A. large mass; little
volume
C. little weight; large
volume
B. little mass; large
volume
D. mass and volume
are equal

Answers

Answer:

c

xExplanation:

What is the change in internal energy if 60 J of heat is released from a system
and 30 J of work is done on the system? Use AU = Q-W.
OA. 30 J
OB. -30 J
OC. 90 J
OD. -90 J

Answers

Answer:

30J

Explanation:

Δq = Δu + Δw

⇒Δu = Δq - Δw

here, Δq = 60J & Δw = 30J

∴ Δu = 60 - 30 = 30 J

Tina’s teacher is demonstrating the effect of a sheet of paper on nuclear radiation. He uses an Americium-241 radioactive source close to a detector. There is a count rate of 130 counts per second without the paper. When he puts the sheet of paper between the radioactive source and the detector, the count rate falls almost to 0.
Give
the type of nuclear radiation that the Americium-241 source is producing

Answers

The type of nuclear radiation that the Americium-241 source is producing is

an alpha emitter, but also emits some gamma rays.

What is a nuclear radiation?

Nuclear radiation (also known as ionising radiation) is energy that is released in the form of high-speed charged particles or electromagnetic waves. Radiation can come from a variety of sources, both natural and man-made. Every living thing is constantly bombarded with low-level radiation from rocks, sunlight, and cosmic rays.

Am-241 emits mostly alpha rays but also some gamma rays. If ingested (swallowed) or inhaled, it poses a greater risk. Americium-241 is created in nuclear power plants by neutron activation of 239Pu and 240Pu, followed by beta decay of 241Pu (T1/2 = 14.35 years). This means that 241Am is produced in burned-up fuel by the decay of 241Pu a long time after the fuel is removed from a nuclear reactor.

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M
6
3310
M
WWW
Find Req between a and b

Answers

The answer is 5.6 ohms.

The electrical resistance of a circuit component or device is defined as the ratio of the applied voltage to the current through it. If the resistance is constant over a considerable voltage range. This is shown below. To calculate the total resistance of multiple resistors connected in this way, add the individual resistances.

calculation:-

V = iR

R = V/I

= 33.10/6

5.6.

Wire resistance is proportional to resistance and length and inversely proportional to wire cross-sectional area. To determine the condition of a circuit or component. The higher the resistance, the lower the current flow, and vice versa. Resistance is a measure of resistance to the flow of current in an electrical circuit. Resistance is measured in ohms and represented by the Greek letter omega.

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The length of a simple pendulum is 0.80 m and the mass of the "bob" at the end is 0.31 kg. The pendulum is pulled away from equilibrium at an angle of 6.8 degrees and released from rest.

a. What is the angular frequency of the motion?
b. Using the position of the bob at its lowest point as the reference level, determine the total mechanical energy of the pendulum as it swings back and forth.
c. What is the bob's speed as it passes through the lowest point of the swing?

Answers

a) angular frequency of the motion is ω = 3.5s⁻¹

b) total mechanical energy of the bob is T.M.E = 0.029J

c) bob's speed at the lowest point is V= 0.43m/s.

A mechanical device that oscillates or sways is known as a simple pendulum. The gravitational force is primarily responsible for this motion, which takes place in a vertical plane.

Given,

Length of a simple pendulum, L = 0.80m

Mass of the bob, m = 0.31 kg

h= L- LcosΘ = L (1 - cosΘ)

a) Angular frequency, ω = 2π / T

where, T = 2π √(L/g)

ω = 2π / 2π √(g/L)

ω =√(9.8 / 0.80) s⁻¹

ω = 3.5s⁻¹

b) Total mechanical energy, T.M.E = (K.E.)ₐ + (P.E.)ₐ

As (K.E.)ₐ = 0

(P.E.)ₐ =mgh

T.M.E = 0 + mgh, where h = L (1-cosΘ)

T.M.E = ngL (1-cosΘ)

= 0.31*9.8*0.80(1-0.988)

= 0.029J

Thus, T.M.E = 0.029J

c) bob's speed at the lowest position, V

TMEb = 0.029J

(KE)b + (PE)b = 0.029J

1/2mV² + 0 = 0.029J

V =√(2*0.029/m)

V = 0.43m/s

So, the speed at the lowest point is V= 0.43m/s.

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11. If a body on which three forces are acting is in equilibrium which of the following-can
be correctly inferred?
I. The vector sum of the three forces is zero
II. Two of the forces act in the same direction
III. Each of the forces has the same magnitude
(A) I only
(B) III only
(C) I and II only
(D) II and III only
(E) I, II, and III

Answers

If a body has the three forces acting upon it and is in equilibrium then the vector sum of the three forces is zero. Thus, (A) I only is the correct answer.

I. The vector sum of three forces is zero means that the vector sum of all the three forces is equal to resultant zero vector.

II. If two forces act in the same direction then the body experiences more force on that side and hence is not in equilibrium. For the body to be in equilibrium, then the resultant of any two forces should be opposite, equal and collinear with the third force.

III. For the body to be in equilibrium, magnitude along with direction should be mentioned. If the three forces are in the same plane, convergent (cross the same point) and non-parallel.

Hence, the body on which three forces is acting will be in equilibrium when the vector sum of three forces is zero.

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