A 20-cm-long rod with a diameter of 0.250 cm is loaded with a 5000 N
weight. If the diameter decreases to 0.210 cm, determine (i) the
engineering stress and strain at this load and (ii) the true stress and strain
at this load

Answers

Answer 1

Answer: the answer is 19cm

Explanation:


Related Questions

the distance between an object and its real image is 40 cm, if the magnification is 3, calculate the object and image distance if the focal length of the lens is 15 cm​

Answers

The object distance of the lens is 10 cm and the image distance of the lens is 30 cm.

What is the image and object distance?

The object and image distance formed by the lens is calculated by applying the following lens formula.

v + u = 40 ------- (1)

v/u = 3 ------------ (2)

v = 3u

Substitute v into equation (1);

3u + u = 40

4u = 40

u = 40/4

u = 10 cm

The image distance = 3u

= 3 x 10 cm

= 30 cm

Thus, the object distance is 10 cm and the image distance is 30 cm.

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What is the strength of the electric field at the position indicated by the dot in (Figure 1)?

What is the direction of the electric field at the position indicated by the dot in (Figure 1)? Specify the direction as an angle measured clockwise from the positive x
axis.

What is the strength of the electric field at the position indicated by the dot in (Figure 1)?What is

Answers

At the point indicated by the dot, the electric field vector would be at an angle of 45 degrees measured clockwise from the positive x-axis, since the x and y components of the electric field are equal at that point.

Assuming that the two charges are of equal magnitude and opposite sign and that the distance between them is d, the electric field at the point indicated by the dot can be found using Coulomb's law:

\(E = kq/r^2\)

where k is Coulomb's constant (\(8.99 *10^9 N m^2/C^2\)), q is the magnitude of the charge, and r is the distance between the charges.

Since the charges are of equal magnitude, the net charge at the point indicated by the dot is zero, so we only need to consider the electric field due to one of the charges. Let's assume that we want to find the electric field due to the positive charge.

The distance between the positive charge and the point indicated by the dot is r = d/2. Therefore, the electric field at that point is:

\(E = kq/(d/2)^2 = 4kq/d^2\)

The direction of the electric field is radial, pointing away from the positive charge and toward the negative charge. At the point indicated by the dot, the electric field vector would be at an angle of 45 degrees measured clockwise from the positive x-axis, since the x and y components of the electric field are equal at that point.

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Can you answer this question?

Can you answer this question?

Answers

The equivalent resistance between the point A and B is 0.95 ohm.

Define resistance ?

Resistance means the degree to which a substance or device opposes the passage of an electric current, causing energy dissipation. It is measured in ohms, symbolized by the Greek letter omega (Ω). Resistance is also defined as the opposition offered by a body or substance to the passage through it of a steady electric current.

What is meant by ohms law?

Ohm's law is a formula used to calculate the relationship between voltage, current and resistance in an electrical circuit. It states that the current through a conductor between two points is directly proportional to the voltage across the two points. The law is named after Georg Simon Ohm, a German physicist who discovered it,

Solving for R3, R4, and R5 since they are in parallel formation. Their equivalent resistance could be

                           1 / R = (1 /R3) + (1 / R4) + (1 / R6)

                                   = (1 / 4.4) + (1 / 3.5) + (1 / 6.6)

                           1 / R = 0.79

                                R = 1.43 ohm.

Next solving R6 and leg of this resistance which are in series connection,

                                 r = R + R6

                                   = 1.43 + 7.1)

                                 r = 8.53 ohm.

Finally the three resistance R1, R2 and the leg resistance which are in parallel connection,

                             1 / r = (1 / 1.9) + (1 / 2.5) + (1 / 8.53)

                                    = 1.04 ohm

Equivalent resistance R eq = 1 / 1.04 = 0.95 ohm.

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What is evidence used by Galileo to disprove Aristotle and Ptolemy?

Answers

Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe.

Galileo Galilei played a crucial role in challenging the prevailing geocentric model of the universe proposed by Aristotle and supported by Ptolemy. He provided several lines of evidence that effectively disproved their theories and supported the heliocentric model proposed by Nicolaus Copernicus. Some of the key evidence used by Galileo includes:

1. Observations through a telescope: Galileo was one of the first astronomers to use a telescope to observe the heavens. His telescopic observations revealed several important discoveries that contradicted the Aristotelian-Ptolemaic worldview. He observed the phases of Venus, which demonstrated that Venus orbits the Sun and not Earth. He also observed the four largest moons of Jupiter, now known as the Galilean moons, which provided evidence for celestial bodies orbiting a planet other than Earth.

2. Sunspots: Galileo's observations of sunspots provided evidence that the Sun is not a perfect celestial body, as suggested by Aristotle. Sunspots indicated that the Sun has imperfections and undergoes changes, challenging the notion of celestial perfection.

3. Mountains on the Moon: Galileo observed the rugged and uneven surface of the Moon, which contradicted Aristotle's belief in celestial spheres made of perfect, unchanging material. The presence of mountains on the Moon suggested that celestial bodies are subject to the same physical laws as Earth.

4. Phases of Venus: Galileo's observations of the phases of Venus provided direct evidence for the heliocentric model. As Venus orbits the Sun, it goes through phases similar to the Moon, ranging from crescent to full. This observation strongly supported the idea that Venus revolves around the Sun.

These lines of evidence presented by Galileo challenged the Aristotelian-Ptolemaic model, providing support for the heliocentric model and paving the way for a new understanding of the universe. His work marked a significant turning point in the history of science and laid the foundation for modern astronomy.

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A 0.250 kg block attached to a light spring oscillates on a frictionless, horizontal table. The oscillation amplitude is A = 0.125 m and the block moves at 3.00 m/s as it passes through equilibrium at x = 0. (a) Find the spring constant, k.

Answers

The spring constant, k will be 18 N/m.The ratio of force to one unit of displaced length is known as the spring constant.

What is the spring constant?

Spring constant is defined as the ratio of force per unit displaced length.

Given data;

Mass of  block,m=0.250 k

Amplitude,A = 0.125 m

Velocity,V=3.00 m/

Spring constant,K=?

The formula for the spring constant when the spring is oscillate at the given amplitude A:

\(\rm K = \frac{V_{max}^2 m}{A} \\\\ K = \frac{3.0 \times 0.250}{0.125} \\\\ K=18 \ N/m\)

Hence, the spring constant, k will be 18 N/m

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An ideal gas in a cubical box having sides of length L exerts a pressure p on the walls of the box. If all of this gas is put into a box having sides of length 0.5L without changing its temperature, the pressure it exerts on the walls of the larger box will be...

p.

2p.

4p.

8p.

12p.

Answers

Answer:

2P

Explanation:

See attached file

An ideal gas in a cubical box having sides of length L exerts a pressure p on the walls of the box. If

If you dropped the hoop without any string so it did not rotate as it fell, how fast would its center be moving when it had fallen a distance h

Answers

Although we do not have the necessary information to provide an exact answer, we can confirm that the object will have fallen by a multiple of 9.8 meters due to gravity.

How does gravity affect this fall?

When an object is dropped, its acceleration is determined by gravity. This force applies a constant acceleration of 9.8 meters per second. Therefore, to calculate its speed at distance h, we would need to know the time it has taken the object to reach this point, and use that together with our known acceleration in order to calculate its current speed.

Therefore, we can confirm that in order to calculate the current speed of the object at point h, we require the time taken to reach this point or the value of the distance itself and that the answer will be a multiple of 9.8, due to gravity.

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A spring has an unstretched length of 10 cm. It exerts a restoring force F when stretched to a length of 13 cm. a. For what length of the spring is its restoring force 3F? b. At what compressed length is the restoring force 2F?

Answers

The length at which the restoring force is 2F is given by the following expression:

\(x = (-2F + F / (13 cm - 10 cm) * 10 cm) / (F / (13 cm - 10 cm))\)

What is restoring force?

The restoring force of a spring is proportional to its displacement from its unstretched length, according to Hooke's law:

F = -kx

where F is the restoring force, k is the spring constant, and x is the displacement from the unstretched length.

If we know the restoring force F when the spring is stretched to a length of 13 cm, we can find the spring constant k:

\(F = -k * (13 cm - 10 cm)\\k = F / (13 cm - 10 cm)\)

Next, we can find the displacement that gives a restoring force of 3F:

\(3F = -k * (x - 10 cm)\\3F = -k * x + k * 10 cm\\-3F = k * x - k * 10 cm\\-3F + k * 10 cm = k * x\\x = (-3F + k * 10 cm) / k\)

Substituting the value of k, we get:

\(x = (-3F + F / (13 cm - 10 cm) * 10 cm) / (F / (13 cm - 10 cm))\)

So, the length of the spring for which its restoring force is 3F is given by the above expression.

b. To find the length at which the restoring force is 2F, we can use the same method as above and replace 3F with 2F:

\(2F = -k * (x - 10 cm)x = (-2F + k * 10 cm) / k\)

Substituting the value of k, we get:

\(x = (-2F + F / (13 cm - 10 cm) * 10 cm) / (F / (13 cm - 10 cm))\)

So, the length at which the restoring force is 2F is given by the above expression.

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two solid spheres of radius R made os same steel is placed in contact and exerts a force of f1. if the radius is 3R, what will be the magnitude of gravitational force

Answers

The magnitude of the gravitational force 0f two solid sphere of radius R is 81F₁ newton.

Gravitational force :

Any two bodies' mutual attraction is directly proportional to the sum of their masses and inversely proportional to the square of their separation.

Force is given as :

F₁ =  (G x m x m )/ (2r)²

To calculate gravitational force :

F₂ = G  x  [27m x 27m]/ [6r]²

F₂ = (G x27)² m² / 36r²

F₂ = (81 G  x m²) / 4r²

F₂ = 81F₁

The magnitude of the gravitational force of two solid sphere of radius R is 81F₁ newton.

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Vincent carrying his luggage with a mass of 10.5kg . If he does 100J of work to what height will raise it?

Answers

The height of the luggage with work done of 100J with a mass of 10.5 kg is 0.97m.

Work done equals the product of force and displacement. The energy that gets transferred by the force to move a object is called work done. Work done is equal to the potential energy of the object.

Work done = potential energy

                   = m×g×h

m is the mass of the luggage = 10.5 kg

g is the acc. due to gravity = 9.8 m/s

W is the work done = 100J

h (height) = W / (m×g)

               = 100 / ( 10.5×9.8)

              = 0.97 m

Thus, the luggage rises above the ground with a height of 0.97 m.

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No no no no. no no no no

Answers

No no no no. no no no no

Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and a market economy? E.1.2
How Economic Decisions are Made
By the Government,
command
economy
By the Consumers
mixed
economy
market.
economy
O Consumers make all economic decisions in a mixed economy, while the government makes all economic decisions in a market economy.
Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.
Government makes all economic decisions in a mixed economy, while consumers make all economic decisions in a market economy.
O Consumers make economic decisions in a mixed economy, while consumers and government make economic decisions in a market economy.

Answers

Based on the diagram, the correct statement is: Government and consumers make economic decisions in a mixed economy, while consumers make economic decisions in a market economy.

How do we explain?

In a mixed economy, economic decisions are made by both the government and consumers.

The government plays a significant role in regulating and influencing economic activities through policies, regulations, and interventions.

In market economy, economic decisions are primarily made by consumers. The market forces of supply and demand dictate the allocation of resources, production levels, and pricing.

The freedom to buy and sell whatever they choose is what ultimately determines how commodities and services are produced and distributed.

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Based on the diagram, what is the difference in how economic decisions are made in a mixed economy and

The coefficient of performance of a refrigerator is 3.4. The compressor uses 20 J of energy per cycle.
A. How much heat energy is exhausted per cycle?
B. If the hot-reservoir temperature is 29 degree, what is the lowest possible temperature in ^\circC of the cold reservoir?

Answers

The heat energy is exhausted per cycle is 88J.

What is Heat Energy?

We encounter heat energy everywhere, including in icebergs, volcanoes, and our own bodies. There is heat energy in all stuff.

Heat energy is the only thing that results from the movement of tiny particles known as atoms, molecules, or ions in liquids, solids, and gases. One substance may absorb heat energy from another, and the flow caused by a temperature differential between two things is referred to as heat.

The ratio of heat extracted from the cold reservoir to the work supplied to the pump is known as the coefficient of performance of a refrigerator (= heat pump used for purpose of cooling of cooling):

Since COP = Q c/W, Q c = W COP.

Energy conservation dictates that the net energy transferred to the refrigerator by labour and heat must equal zero throughout the course of one cycle. It follows that heat rejected to the hot reservoir equals heat taken from the cool reservoir plus labor performed.

Q h = Q c + W

= (COP)W

= (1.4)20J

= 88J

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What is the mass of a toy car if it has 5 J of potential energy and is sitting on top of a track that has a height of 2m?

(PE= m x g x h) (hint g=9.8 m/s2)

Answers

Explanation:

PE=mgh

5=m(9.8)(2)

m=5/19.6

m=0.2251 kg

m=225.1 grams

Which of the following statements describes meta-analysis

Answers

Meta-analysis includes all of these such as systematic inclusion and exclusion criteria for studies, multiple, systematic searches to identify studies which answer a focused question, only quantitative studies are included in this. Thus, the correct option is B.

What is Meta-analysis?

A meta-analysis is a statistical analysis which combines the results of multiple scientific studies. Meta-analyses of anything can be performed when there are multiple scientific studies available which are addressing the same question, with each of the individual study reporting measurements which are expected to have some degree of error in it.

The subjects from all the studies were pooled and statistically analyzed to determine the effect of the one thing such as relationship between wearing sunscreen and melanoma. This meta-analysis has been found to show a 50% reduction in the melanoma diagnosis among the sunscreen-wearers.

Therefore, the correct option is B.

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Your question is incomplete, most probably the complete question is:

Which of the following describe meta-analysis?

A. Systematic inclusion and exclusion criteria for studies

B. All of these

C. Multiple, systematic searches to identify studies that answer a focused question

D. Only quantitative studies are included

E. None of these

Tom applied 10 000J of heat energy to four (4) metals A, B, C and D. All the metals were of the same mass and were initially at the same temperature. After heating the metals the temperature change was noted as shown in the table below. Metal 9 A.25 B.35 C.10 D.15 Which of these four (4) metals has the highest heat capacity?​

Answers

The metal with the highest heat capacity between metals A.25 B.35 C.10 and D.15 is metal A.

How to determine heat capacity?

Heat capacity is the amount of heat required to raise the temperature of a substance by one degree Celsius. Metal A has a heat capacity of 400 J/kg°C, which means that it takes 400 joules of heat to raise the temperature of one kilogram of metal A by one degree Celsius.

Metal B has a heat capacity of 285.7 J/kg°C, metal C has a heat capacity of 1000 J/kg°C, and metal D has a heat capacity of 666.7 J/kg°C. Therefore, metal A has the highest heat capacity of the four metals.

Metal A's high heat capacity means that it can absorb a lot of heat without its temperature changing very much. This makes metal A a good material for things like heat sinks and thermal insulation.

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An object of mass M is at rest at the origin at time t = 0 . At that time, a force F = A(t^2) (where A is a positive constant and F is in newtons when t is in seconds) is applied to the object. After 2 s, the velocity of the object in m/s will be

Answers

At that time, a force F = A(t²), after 2 s, the velocity of the object in m/s will be 8 (A/M) m/sec.

What is force?

A force is an effect that can alter an object's motion according to physics. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

Let a be acceleration of mass M

By Newton 2nd Las, Force = mass * acceleration

F = A (t²) = M * a

a = A (t²) / M

By kinematics, final velocity = initial velocity + acceleration * time

Mass is at rest at t = 0 so initial velocity

So velocity after 2 s is

= 0 + A (2²) / M * 2

= 8 (A / M) m/sec

At that time, a force F = A (t²), after 2 s, the velocity of the object in m/s will be 8 A/M m/sec.

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The velocity of the object after 2 seconds will be the result of integrating the acceleration in time. The acceleration of the object is the second derivative of position, which is the first derivative of velocity. Therefore, we can calculate the velocity of the object at any time t from the formula:

velocity = integral(acceleration)

The acceleration in this case is the force F divided by the mass M, or A(t^2)/M. Therefore, *the speed of the object after 2 seconds would be:

velocity = integral(A(t^2)/M)= (A/M) * integral(t^2)= (A/M) * (t^3/3) + C

Where C is a constant of integration. Since the object was at rest at time t=0, its velocity will also be zero at that moment. Therefore, we can set C=0 and calculate the velocity of the object after 2 seconds:

velocity = (Y/M) * (2^3/3)= (Y/M) * (8/3)= (8/3) * A/M m/sAfter 2 s, the speed of the object in m/s will be 8 (A/M) m/s.

the time between crest in a traveling wave is called a period. if the period is 8 seconds what is the frequency

Answers

Answer:

0.125 Hz

Explanation:

The frequency and period are inverse quantities. If the period is T, the frequency is 1/T, so in this case

f = 1/8 s = 0.125 Hz

Therefore, the frequency of the wave is 0.125 Hz. It means that 0.125 waves pass to a fixed point each second.

True or False: For a longitudinal wave, the wavelength is the distance between compressions.

Answers

Answer:

false....

Explanation:

brainliest

When it is winter in the Northern Hemisphere, which season is it in the Southern Hemisphere?

Answers

southern hemisphere is Summer

Explanation:

1000000% right ❤❤❤

Which of the following best explains how earth is heated through radiation

Answers

Answer:

The sun touches earth during daytime and the suns rays heat our earth giving us heat. The sun heating the earth is also considered radiation.

Explanation:

2 objects have a total momentum of 400kg m/s, they collide. Object A’s mass is5kg & object B’s mass is 11kg. After the collision Object B is moving at 15m/s.What is the velocity of Object A AFTER the collision?

Answers

Answer:

Explanation:

We shall apply law of conservation of momentum .

Momentum before collision = momentum after collision .

Momentum before collision = 400 kg m/s

Momentum after collision = 5  x v + 11 x 15

where v is velocity of A after the collision .

5  x v + 11 x 15 = 400

5 v = 400 - 165

5v = 235

v = 47 m /s .

A8 kg ball is held at postam A before being rolled down the ramp below. Asume no energy is lost due to
Position
A
A-5m)
Position
B
(x-2m)
Position
C
As
h-5m
Kinetic Energy
B
h-2.5 m
Gravitational Potential Energy
C
h-0m
Total Energy

A8 kg ball is held at postam A before being rolled down the ramp below. Asume no energy is lost due toPositionAA-5m)PositionB(x-2m)PositionCAsh-5mKinetic

Answers

At position A, the ball has only potential energy due to its position above the ground.

The potential energy of the ball at position A is:

PE = mgh

where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of the ball above the ground.

PE(A) = 8 kg * 9.8 m/s^2 * 5 m

PE(A) = 392 J

At position B, the ball has both kinetic and potential energy.

The potential energy of the ball at position B is:

PE = mgh

where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of the ball above the ground.

PE(B) = 8 kg * 9.8 m/s^2 * 2.5 m

PE(B) = 196 J

The kinetic energy of the ball at position B is:

KE = (1/2)mv^2

where m is the mass of the ball and v is the velocity of the ball.

Since the ball is rolling down the ramp, we can use the conservation of energy principle to find the velocity of the ball at position B.

The total energy of the ball at position A is:

E(A) = PE(A)

E(A) = 392 J

The total energy of the ball at position B is:

E(B) = PE(B) + KE(B)

E(B) = 196 J + (1/2)(8 kg)v^2

E(B) = 196 J + 4v^2

Since energy is conserved, we have:

E(A) = E(B)

392 J = 196 J + 4v^2

196 J = 4v^2

v^2 = 49 m^2/s^2

v = 7 m/s

The kinetic energy of the ball at position B is:

KE(B) = (1/2)mv^2

KE(B) = (1/2)(8 kg)(7 m/s)^2

KE(B) = 196 J

At position C, the ball has only kinetic energy.

The potential energy of the ball at position C is zero since the ball is at ground level.

The kinetic energy of the ball at position C is:

KE(C) = (1/2)mv^2

KE(C

1. The kinetic energy of a 4,934 pound pickup truck going 55 mph is:

Provide your answer in kJ

2. A 4,992 lb car has a rolling resistance coefficient of 0.015. How much force, in lb, will it take to push this car at 30 mph?

3.The 2022 Hummer EV comes with a 212 kWh battery. How much will this battery weigh in lbs?

Answers

Answer:

1) 1256.02 kJ

2)76.20 lb

3)2336.30 lb

Explanation:

The kinetic energy of a 4,934 pound pickup truck going 55 mph is:

First, we need to convert the mass of the truck from pounds to kilograms:

4,934 lb = 2,236.17 kg

The kinetic energy is given by the formula: KE = 0.5 * m * v^2

where m is the mass of the object and v is the velocity.

Plugging in the values, we get:

KE = 0.5 * 2,236.17 kg * (55 mph)^2 = 1,256,024.47 J

Converting to kJ, we get:

KE = 1,256,024.47 J / 1000 = 1256.02 kJ

A 4,992 lb car has a rolling resistance coefficient of 0.015. How much force, in lb, will it take to push this car at 30 mph?

The force required to overcome rolling resistance is given by the formula:

F = Crr * W

where Crr is the rolling resistance coefficient and W is the weight of the car.

First, we need to convert the weight of the car from pounds to Newtons:

4,992 lb = 22,612.88 N

Plugging in the values, we get:

F = 0.015 * 22,612.88 N = 339.19 N

Converting to pounds, we get:

F = 339.19 N / 4.45 = 76.20 lb

The 2022 Hummer EV comes with a 212 kWh battery. How much will this battery weigh in lbs?

We cannot directly convert from kilowatt-hours to pounds, as they are two different units. However, we can use the energy density of the battery to estimate its weight.

Assuming an energy density of 200 Wh/kg for the battery, we can calculate the mass of the battery as:

212 kWh * 1000 Wh/kWh / 200 Wh/kg = 1060 kg

Converting to pounds, we get:

1060 kg * 2.205 lb/kg = 2336.30 lb

A 4 kilogram (kg) toy car accelerates from 3.0 meters per second (m/s) to 8.0 meters per second. What is the change in the cart's momentum?

Answers

Answer:

20 kg*m/s

Explanation:

we're looking for the change in the cars momentum . the formula to identify the cars momentum is Δp=m*vf-m*vi . In this case m= mass , vf= velocity final, and vi= velocity initial . The mass is how much the car weighs , which is 4 kg . Velocity final would be 8 m/s since that's how fast it last was . Velocity initial would be 3 m/s since it had first started at that speed . Now we can jus plug it into the formula .

m= 4 kg

vf= 8 m/s

vi= 3 m/s

Δp= (4)*(8) - (4)*(3)

Δp= 32-12

Δp= 20 kg*m/s

hope this helps .

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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(100 POINTS AND BRAINLIEST)
Atoms form chemical bonds using:
a. electrons in the innermost energy level
b. electrons in the outermost energy level
c. protons and electrons

Answers

Answer:

electron in the outermost

Explanation:

These are the electrons available for bonding or transfer

  protons do are not involved in actual bonding

Answer:

b

Explanation:

Atoms form chemical bonds using electrons in the outermost energy level, otherwise known as valence electrons.

For atoms to bond, they must either gain or lose electrons.

By gaining electrons, the atom attains a negative charge.

By losing electrons, the atom attains a positive charge.

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Answers

Answer:

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Explanation:

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Answer:

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Explanation:

You toss a tennis ball straight upward. At the moment it leaves your hand it is at a height of 1.3 m above the ground, and it is moving at a speed of 8.8 m/s.(a) How much time does it ke for the tennis ball to reach its maximum height?(b) What is the maximum height above the ground that the tennis ball reaches?(c) When the tennis ball is at a height of 2.6 m above the ground, what is its speed?

Answers

Let's name all the variables that are given and that we know.

yi: initial height; yi = 1.3 m

vi: initial upward velocity; vi = 8.8 m/s

g: gravitational acceleration; g = 9.81 m/s^2

t: time; let's make this the independent variable.

y: height; let's make this a dependent variable.

v: velocity; let's make this another independent variable

We can derive equations relating time (t) in seconds and height (y) along with velocity (v).

y = yi + vi*t - (g/2)*t^2

v = vi - g*t

(This is done by integrating the acceleration function, but that's not important as long as you can recall this formula)

Now let's plug in the variables we know into both these equations.

y = 1.3 + 8.8t - (9.81/2)t^2 (let's call this the height function)

v = 8.8 - 9.81t (let's call this the velocity function)

Now we're ready to answer part (a).

From the start of the scenario, the ball continues to travel upward, until it reaches its maximum, at which point its velocity is momentarily zero, then starts to decrease.

This means that at its highest point, the ball has a velocity v = 0.

We can then use the velocity function and solve for t when the ball is at its highest.

0 = 8.8 - 9.81t

9.81t = 8.8

t = 0.897 seconds (answer to part (a))

Now we're ready to answer part (b).

Now that we know the time it takes for the ball to reach its maximum height, we can use that value for t (t = 0.897), and solve for y using the height function.

y = 1.3 + 8.8*0.897 - (9.81/2)*0.897^2

We can simply plug the right side into a calculator to solve for y.

y = 5.247 meters (answer to part (b))

Now we're ready to answer part (c).

So we're given an initial condition that y = 2.6m.

We can plug this value in for y in the height function and solve for t.

2.6 = 1.3 + 8.8t - (9.81/2)t^2

Solving using the quadratic formula (or any other method of your choice for solving quadratics), you actually get two answers. This is because the ball reaches 2.6m twice; first when it's going up, then again when it comes back down.

t = 0.162s, 1.632s

However, since the motion is parabolic, the velocity at 1.632s will just be negative of the velocity at 0.162s, so we can just plug in 0.162 for t, and use the velocity function to solve for v.

v = 8.8 - 9.81*0.162

Plugging the right side into a calculator,

v = 7.211 m/s (answer to part (c))

Eddie and Val observed the picture of an athlete running in a race.

A large group of runners participate in a race.

Eddie stated the picture shows potential energy being transformed to kinetic energy. Val stated that it shows chemical energy being transformed to mechanical energy. Which best explains who is correct?

Only Eddie is correct because the picture does not show a transformation that starts with chemical energy.
Only Eddie is correct because the picture does not show a transformation that ends with mechanical energy.
Both Eddie and Val are correct because chemical energy is a type of potential energy and mechanical energy includes kinetic energy.
Both Eddie and Val are correct because chemical energy is a type of kinetic energy and mechanical energy includes potential energy.

Answers

Answer:

The Answer is C.

Explanation:

Both Eddie and Val are correct because chemical energy is a type of potential energy and mechanical energy includes kinetic energy.

What is Energy?

This is defined as the capacity and ability to do work. Potential energy is a type of energy by virtue of its position and chemical energy falls under this category.

Kinetic energy on the other hand is the energy by virtue of movement or motion and mechanical energy falls under this too thereby making option C most appropriate.

Read more about Energy here https://brainly.com/question/26520543

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