Make a problem where an object goes through three different energy changes. The last change needs to be a situation where all the energy turns into Spring Potential energy. Write the problem, then separately solve it

Answer:

7 m/s

Explanation:

Find the total mass

m1+m2 = total mass

700kg+300kg = 1000kg

Find the velocity of each mass

v1 = 10m/s

v2 = 0m/s

Find the combined momentum

m1v1 + m2v2 = mfvf

(700)(10)+(300)(0)=(1000)(vf)

7000=1000(vf)

7=vf

So the velocity of the two cars rolling together is 7 m/s

6.21 cm

where

Given:

solving step-wise:

\(\dashrightarrow \mathrm{T}=2 \pi \sqrt{\dfrac{\mathrm{L}}{\mathrm{g}}}\)

\(\sf \dashrightarrow \mathrm{0.5}=2 \pi \sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}\)

\(\dashrightarrow \mathrm{\dfrac{0.5}{2 \pi } }=\sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}\)

\(\dashrightarrow\sqrt{\dfrac{\mathrm{L}}{\mathrm{9.8}}}= \mathrm{\dfrac{0.5}{2 \pi } }\)

\(\sf \dashrightarrow{\dfrac{\mathrm{L}}{\mathrm{9.8}}}= (\mathrm{\dfrac{0.5}{2 \pi } })^2\)

\(\sf \dashrightarrow{{\mathrm{L}}= (\mathrm{\dfrac{0.5}{2 \pi } })^2*9.8\)

\(\sf \dashrightarrow{{\mathrm{L}}=0.06205922 \ m\)

\(\sf \dashrightarrow{{\mathrm{L}}=6.2059\ cm\)

\(\sf \dashrightarrow{{\mathrm{L}}=6.21\ cm\)             { rounded to nearest hundredth }

Let's see

\(\\ \rm\rightarrowtail T=2\pi \sqrt{\dfrac{l}{g}}\)

\(\\ \rm\rightarrowtail 0.5=2\pi \sqrt{\dfrac{l}{9.8}}\)

\(\\ \rm\rightarrowtail 0.783=\pi \sqrt{l}\)

\(\\ \rm\rightarrowtail 0.2494=\sqrt{l}\)

\(\\ \rm\rightarrowtail \ell=0.0622m\)

Antigone faces a moral dilemma when she defies the king's order to bury her brother. The essence of any moral dilemma is the choice between two equally valid but conflicting ethical principles. Antigone's decision to bury her brother has both moral and legal consequences.

A moral dilemma is a circumstance in which an individual must choose between two equally valid yet contradictory ethical principles. In this case, Antigone is confronted with the moral dilemma of whether or not to follow the law and the authority of the state or to honor the ties of kinship and the gods' laws. However, Antigone chooses to disobey the king's order and gives a proper burial to her brother. Her choice has moral and legal consequences, as she is punished with death as a result of her disobedience to the king's order.

The moral dilemma Antigone faces arises from her choice between following the law and respecting the gods' laws, as well as her loyalty to her brother. Antigone's choice to bury her brother reflects her defiance and determination to stand up for what she believes is correct. The consequences of Antigone's choice are both moral and legal. She is ultimately punished for her disobedience, and her refusal to obey the king's order results in her death. However, Antigone's actions are viewed as morally right by some and as a symbol of resistance against tyranny and oppression.

Learn more about moral dilemma at brainly.com/question/26929301

#SPJ11

a) D2022 = $1.9975, D2023 = $2.27715, D2024 = $2.60554, D2025 = $2.98868, D2026 = $3.43243

b) Po = $13.63

c) Dividend yield = 13.85%, Capital gains yield = 74.52%, Expected total return = 88.37%. Dividend yield = 17.89%, Capital gains yield = -23.29%, Expected total return = -5.40%.

a) Dividend is the distribution of earnings to shareholders. Expected dividend for each year can be calculated as follows:

D2022 = D0 (1 + g) = $1.75 (1 + 0.14) = $1.9975

D2023 = D2022 (1 + g) = $1.9975 (1 + 0.14) = $2.27715

D2024 = D2023 (1 + g) = $2.27715 (1 + 0.14) = $2.6055415

D2025 = D2024 (1 + g) = $2.6055415 (1 + 0.14) = $2.98868161

D2026 = D2025 (1 + g) = $2.98868161 (1 + 0.14) = $3.432429195

b) The present value of dividends expected in 2022, 2023, 2024, 2025 and 2026 can be calculated using the following formula:

PVD = D / (1 + r)t

where

PVD = present value of dividends expected

D = dividend expected in a future year

t = number of years from now

r = required rate of return

PVD2022 = $1.9975 / (1 + 0.12)¹ = $1.77700934579

PVD2023 = $2.27715 / (1 + 0.12)² = $1.88843867485

PVD2024 = $2.6055415 / (1 + 0.12)³ = $1.99719364693

PVD2025 = $2.98868161 / (1 + 0.12)⁴ = $2.10928913223

PVD2026 = ($3.432429195 + ($3.432429195 * 1.05)) / (1 + 0.12)⁵ = $2.25661605368

The present value of the stock price that should exist at the end of 2026 can be calculated using the constant growth equation:

Po = D1 / (r - g)

where

Po = price of stock today

D1 = dividend expected at the end of 2026r = required rate of return

g = expected growth rate

Po = $3.60484320761

Total present value of all dividends expected plus the present value of the stock price at the end of 2026 can be calculated using the formula:

Total PV = PVD2022 + PVD2023 + PVD2024 + PVD2025 + PVD2026 + PoTotal PV = $1.77700934579 + $1.88843867485 + $1.99719364693 + $2.10928913223 + $2.25661605368 + $3.60484320761 = $13.6333900619

The value of the stock today, Po, is $13.63.

Learn more about stock price from the given link:

https://brainly.com/question/18366763

#SPJ11

Answer:

60 - 45 = A. 15

Explanation:

Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

A flat or highly polished surface called a plane mirror reflects light or waves to create an image. It is a polished, smooth surface that creates a virtual representation of the actual object.

A plane mirror is a surface on which an image can only be produced by at least two light beams. The intersection of these two beams can occur inside the mirror or appear to occur somewhere behind the mirror.

The image that follows illustrates how an object appears when viewed via a plane mirror.

Therefore, 60 - 45 = A. 15. Subtracted because the plane mirror at an angle is incidence of 60°, so then in order to find the value it would be 60-45 and not adding it or dividing and multiplying to find the value thus the answer is 15.

To learn more about Plane mirror, refer to the link:

https://brainly.com/question/13101215

#SPJ2

Answer:

Velocity is the rate of change of displacement. Acceleration is the rate of change of velocity. Velocity is a vector quantity because it consists of both magnitude and direction. Acceleration is also a vector quantity as it is just the rate of change of velocity.

Answer:

1. Battery

2. Copper wire

3. Nail or piece of metal (zinc, iron, or steel).

Answer:

magnet coppers wire and piece of metals

Answer: I only have the answer for A, but still, the answer is 20.07.

The magnitude of the total force of the stone on the man's hand is 1.43N

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics.

The direction of the net force acting on an object determines the direction of its acceleration.

Newton's Second Law's Second Law of Acceleration describes the magnitude of an object's acceleration.

Nis normal force exerted by stone on hand.

According to Newton's third law stone also exerted the same force.

⇒ N-mg= ma

⇒ N=1.3(9.8+1.2)

⇒ N=1.43newton

The magnitude of the total force of the stone on the man's hand is 1.43N

Learn more about acceleration from the given link:

brainly.com/question/605631

#SPJ4

Answer:

Yes, the sugar molecules produced from photosynthesis can be rearranged into different compounds to carry out life processes such energy producing compounds, energy storage compounds, body building compounds, and compounds of other types of food

Explanation:

a) The sugar can be broken down in a plant cell to produce ATP and then energy through cellular respiration as follows;

C₆H₁₂O₆ + O₂ 6CO₂ + 6H₂O + ATP

The produced energy can be used as power for cellular activities, such as the synthesis of protein and cell division

b) The produced sugar can be linked together by enzymes to form starch which is a form of chemical storage of energy as follows;

Sugar C₆H₁₂O₆ transformed into starch (C₆H₁₀O₅)ₙ

c) The sugar can be used in building the plant body by forming cellulose which is a form of starch

d) The sugar can be transformed into proteins and fat which are other types of food such as compounds containing sugar produces compounds containing fat based compounds

Answer:

Explanation

Give the initial velocity of am object as v =(4m/s)xi+(3m/s)yj

From the expression;

Vy = 3m/s

Vx = 4m/s

At the maximum height, the velocity of the body is zero i.e Vy = 0m/s

The velocity of the projectile as it reaches its highest point will be:

v = (4m/s)xi + 0

v = √4²+0²

v = √16

v = 4m/s

Hence he velocity of the projectile when it reaches its highest point is 4m/s

In the shells of the atom, we find the electrons while in the nucleus of the atom, we find the protons.

We define the electron as the smallest part of a substance that is able to take part in a chemical reaction. Thus the atoms of elements are quite different from each other but there are some of the feature of the atom that is general to all the atoms.

The atoms are made up of the sub atomic particles such as the electrons, the protons and the neutrons. Now we know that the protons and the protons can be found in the nucleus of the atom while the electrons are in the shells.

Learn more about electrons:https://brainly.com/question/1255220

#SPJ1

Answer:

A

Explanation:

They drove 30km north. The displacement adds up to 25km therefore making the distance greater

Hope this helps!

The angle at which the cannonball is fired above the horizontal is approximately 29.34 degrees. It takes 2.0 s for the cannonball to reach its maximum vertical height.

The angle above the horizontal at which the cannonball is fired is θ.

We know that the vertical component of the initial velocity is given by

V(y) = V(initial) × sin(θ),

At the maximum height, the vertical component of the velocity becomes zero because the cannonball momentarily stops moving vertically before descending.

V(y) = V(initial) × sin(θ) - g × t,

0 = 40 × sin(θ) - (9.8) × 2.0

sin(θ) = (9.8 × 2.0 ) / 40

sin(θ) = 0.49.

θ = sin⁻¹(0.49).

θ = 29.34°.

Therefore, the angle at which the cannonball is fired above the horizontal is approximately 29.34 degrees.

To know more about the angle at which the cannonball is fired:

https://brainly.com/question/32286303

#SPJ12

Answer:

unbalanced

750

forward

Explanation:

Basically fill in the blanks

When the circuit is first assembled, the initial current is determined by Ohm's Law, which states that the current in a circuit is equal to the voltage divided by the resistance. In this case, the current is equal to 6V/21Ω, which is 0.286A.

After 51 seconds, the current will have decreased. This is because the capacitor is charging up and eventually the current will approach 0A as the capacitor reaches its maximum charge and the resistor is providing little resistance to the current.

The rate of decrease will depend on the size of the capacitor and resistance of the resistor. A larger capacitor or lower resistance will result in a faster decrease in current. After 51 seconds, the current will be much lower than the initial current of 0.286A.

Know more about Ohm's Law here

https://brainly.com/question/1247379#

#SPJ11

Answer:

Explanation:

(4.8 m/s)t = 1/2(2.2 m/s²)t²

2(4.8 m/s)t / (2.2 m/s²) = t²

2(4.8 m/s) / (2.2 m/s²) = t²/t

t = 4.36 s

A.  total time it takes to catch up to friend = 4.36s + 2s = 6.36s    (took her 2 sec to hop on the bike and get going)

B. Distance she travels is the same distance the friend travels in 4.36 s = (4.8 m/s)(4.36 s) = 1/2(2.2 m/s²)(4.36 s)² = 20.9 m

Convex lens of focal length 15cm from real image at 25cm from the lens. The object distance, Magnification and size of the image if object size is 2cm are 29.17 cm,  -0.514,  -1.03 cm respectively.

A convex lens has a positive focal length. The distance between the object and the lens is referred to as the object distance and is represented by u, while the distance between the lens and the image is referred to as the image distance and is represented by v. The magnification, m, is the ratio of the image height, h', to the object height, h.

Object distance u = ?

Magnification m = ?

Size of the image h' = ?

Convex lens focal length f = 15 cm

Real image distance v = -25 cm (since the image is real, it is on the opposite side of the lens from the object)

The lens equation is:1/f = 1/v − 1/u where, ƒ is the focal length of the lens.

If the object is far away (i.e., the rays are parallel to the principal axis), then u is equivalent to infinity, and the lens equation becomes: 1/v = 1/fso,v = f

For this problem: v = f = 15 cm

Using the lens formula, we can solve for the object distance.

1/f = 1/v − 1/uu = 29.17 cm

The magnification is given by: m = -v/um = -15/29.17 ≈ -0.514

The image size can be found using the magnification equation:m = h'/h

Solving for h':h' = m × hh' = -0.514 × 2 cm = -1.03 cm

Since the magnification is negative, the image is inverted. However, the negative sign indicates that the image is inverted and reversed in position. The magnitude of the magnification shows that the image is smaller than the object (since m is less than one).

To find the size of the image, we multiply the object size by the magnitude of the magnification. The image size is -1.03 cm, indicating that the image is smaller than the object.

For more such questions on convex lens, click on:

https://brainly.com/question/28039799

#SPJ8

One way that the apparatus could be used to measure the gravitational force is by modifying the current method by using a different material for the masses.

This could be done by using a denser or less dense material to see how the gravitational force changes.In addition to that, another method that could be used is the torsion balance method. This method involves suspending a bar with a mass at the end from a wire and measuring the angle of deflection caused by the gravitational force.

By knowing the period of oscillation of the bar, the gravitational force can be calculated. This method was used by Henry Cavendish in the 18th century to determine the value of the gravitational constant.

To know more about gravitational force visit :

https://brainly.com/question/32609171

#SPJ11

Answer:

It applies to accelerating objects.

It applies to objects in uniform motion.

It applies to objects in a gravitational field.

It is an extension of the special theory of relativity.

It applies to objects in free fall.

The theory of relativity holds that  massive objects cause a distortion in space and time.

The theory of relativity is widely attributed to Albert Einstein. In this theory, he put forward that massive objects cause a distortion in space and time.

The following applies from the theory of relativity;

Learn more about relativity:https://brainly.com/question/2321623

#SPJ2

The conductor configuration of this bundled single-phase overhead transmission line consists of two ACSR 954-kcmil conductors with a GMR of 0.0403 feet that are bundled together to increase current-carrying capacity and reduce EMI.

It is important to understand what ACSR conductors are and their properties. ACSR stands for "Aluminum Conductor Steel Reinforced" and is a type of overhead power line that consists of a central steel core surrounded by one or more layers of aluminum wire. The steel core provides strength and durability, while the aluminum wire provides electrical conductivity. we must consider the "gmr" of the conductors. GMR stands for "Geometric Mean Radius" and is a measure of the effective radius of a conductor. In this case, the GMR of the conductors is 0.0403 feet.

When we examine the conductor configuration shown in the figure, we can see that the two ACSR conductors are bundled together. This bundling serves to increase the overall current-carrying capacity of the transmission line, as well as reduce the amount of electromagnetic interference (EMI) generated by the lines.

To know more about current visit :-

https://brainly.com/question/30010313

#SPJ11

If two 1.2 g spheres are charged equally and placed 1.8 cm apart, the magnitude of the charge on each sphere is 6.88 x 10⁻⁷ C.

The acceleration of the spheres can be attributed to the electrostatic force between them. We can calculate the magnitude of this force using Coulomb's law:

F = kq₁q₂/r²

where F is the electrostatic force, k is Coulomb's constant, q₁ and q₂ are the charges on the spheres, and r is the distance between them.

Since the spheres are charged equally, we can assume that q₁ = q₂ = q. Substituting this into the equation above, we get:

F = k*q²/r²

The mass of each sphere is 1.2 g, or 0.0012 kg. Using the given acceleration of 245 m/s², we can calculate the net force on both spheres:

F = m*a

F = 0.0012 kg * 245 m/s²

F = 0.294 N

Substituting this into the equation for the electrostatic force, we get:

0.294 N = k*q²/0.018 m²

Solving for q, we get:

q = √(0.294 N * 0.018 m² / k)

q = 6.88 x 10⁻⁷ C

To learn more about charge click on,

https://brainly.com/question/13266802

#SPJ4

Take the direction of motion to be the positive direction. The crate slows to a rest from 30.0 m/s in a matter of 5.0 s, so it has acceleration a such that

0 = 30.0 m/s + a (5.0 s)   →   a = -6.0 m/s²

At the moment its speed is 0, the crate has a net force of s + f acting in negative direction, where s and f denote the magnitudes of the stopping force (s = 250 N) and the friction force, respectively. By Newton's second law, we have

(-s) + (-f) = (100 kg) (-6.0 m/s²)

250 N + f = 600 N

f = 350 N

The friction force is proportional to the normal force by a factor of µ, the coefficient of kinetic friction. There is no movement in the up- and downward directions, so Newton's second law says

(-w) + n = 0

where w is the weight of the crate and n is the magnitude of the normal force. So

n = w = (100 kg) (9.80 m/s²) = 980 N

Then

f = µ n

350 N = µ (980 N)

µ = (350 N) / (980 N) ≈ 0.357

Answer:

The correct option is energy levels

Explanation:

Rutherford's model of an atom suggests that an atom has a tiny positively charged central mass (now called the nucleus) which is surrounded by electrons (negatively charged) in a cloud-like manner.

Bohr's model went a bit further than the Rutherford's model in describing an atom by suggesting that the electrons which surrounds in the nucleus travel in fixed circular orbits. This description by Bohr was able to describe the energy levels of orbitals which assumes that smallest orbitals have the lowest energy while the largest orbitals have the highest energy.

Answer:

energy levels

hope this helped!

Explanation:

Answer:

A. The first option: An absorber that is dark in color and rough.

Explanation:

a material absorbs - or transfers the most thermal energy when it is dark in color and rough in texture.

The material that would result in the greatest amount of energy transfer will be an absorber that is dark in color and rough.

A piece of a substance called an absorber is used to absorb a few of the energy of an incoming particle.

Depending on the application, absorbers can be manufactured of a range of materials, including lead, tungsten, and liquid hydrogen.

The majority of absorbers are found in particle detectors, but they are also utilized in particle accelerators to protect their components from radiation damage.

The material that would result in the greatest amount of energy transfer will be an absorber that is dark in color and rough.

Hence option A is correct.

To learn more about the absorber refer to the link;

https://brainly.com/question/23461193

Answer:

Reflected

Explanation:

During the process of reflection whatever that is sent forth e.g light comes back (reflects)

Answer:

transmitted

Explanation:

took quiz

Objects that are not actively moving but have the capacity to do so are said to possess potential energy.

Potential energy is the energy stored within an object due to its position or state. It has the capacity to be converted into kinetic energy when the object starts moving.

Entropy does not directly linked to an object's mobility; rather, it measures the disorder or unpredictability in a system. Potential energy is the energy that is held in reserve in a system or object based on its configuration or position. It is frequently linked to elastic or gravitational potential energy, rather than explicitly with an object's ability to move.

The concept of "living energy" is not one that is accepted by science. Energy is a fundamental aspect of the physical universe that is unrelated to living things by nature. Although energy is used and transformed by living things for their biological activities, the term "living energy" has no clear scientific definition.

To know more about the potential energy, click here;

https://brainly.com/question/24284560

#SPJ11

The person can climb up to a distance of 2.87 m along the ladder before it starts to slip.

We need to identify the point on the ladder where the torque caused by the person's weight equals the torque caused by the friction force in order to calculate the maximum distance the person can climb before the ladder begins to slip.

The forces acting in the horizontal and vertical axes added together equal zero because the ladder is in equilibrium.

The weight of the ladder, which pushes down through its center of mass, and the normal force of the floor, which pushes upward at the ladder's base, are the only forces acting on it. There is no horizontal friction force since the wall is smooth.

Taking moments about the bottom of the ladder, we have:

\(W_l \times (5 m - x) = F_f \times (5 m)\)

where \(W_l\) is the weight of the ladder, \(F_f\) is the friction force, and x is the distance along the ladder where the person is climbing.

The weight of the ladder is:

\(W_l = m_l \times g = 12 kg \times 9.81 m/s^2\)

= 117.72 N

The friction force is:

\(F_f = mu \times N = 0.28 \times (m_l + m_p) \times g\)

where m p is the person's mass, N is the normal force coming from the floor, and mu is the coefficient of static friction.

As the weight of the ladder is equal to and opposes the normal force, we can substitute:

\(F_f = 0.28 \times (12 kg + 60 kg) \times 9.81 m/s^2\)

= 211.22 N

Substituting these values, we get:117.72 N * (5 m - x) = 211.22 N * 5 m

Solving for x, we get:

x = 2.87 m

Therefore, the person can climb up to a distance of 2.87 m along the ladder before it starts to slip.

Learn more about static friction here

brainly.com/question/22438157

#SPJ4