a stone was dropped off a cliff and hit the ground with a speed of 120 ft/s. what is the height of the cliff?

Answer:

The group one element are called alkali because when they dissolved in water they form alkaline solutions

Answer:  Make the frequency higher for number 1 and have the same amplitude.

Explanation: Wavelength and frequency are directly related so if you change one of those then you can't keep the other one the same. You would need to raise the frequency which would make 1 louder and keep amplitude the same for both so that 1 is louder.

To make the sounds match in pitch while making sound wave 1 louder than sound wave 2 : Increase the frequency for wave #1 while setting their amplitudes at the same value

The wavelength of a sound wave is inversely proportional to its frequency therefore when the frequency of wave 1 is increased its wavelength decreases with equal proportion.

Since the increase in frequency results to a decrease in wavelength. therefore to make wave 1 louder, both waves we will have to set the amplitude values of the waves at the same amplitude.

Hence we can conclude that to make the sounds match in pitch while making sound wave 1 louder than sound wave 2 ; Increase the frequency for wave #1 while setting their amplitudes at the same value.

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Answer:

Newton

Explanation:

The unit of force is Newton and it is given after Sir Isaac Newton for his tremendous works in this regard.

 Force is the product of mass and acceleration of a body.

    Force  = mass x acceleration  

 The unit of mass = kg

                    acceleration  = m/s²

So;

      1N  = 1kgm/s²

Therefore, the unit of force is newtons and 1N is equal to  1kgm/s²

The normal force applied by the table onto the gingerbread man is 1.96 N.

The normal force is a type of force that is felt when a surface pushes against an object that is placed on that surface.

In other words, a normal force is a type of force directed opposite to the weight of an object. The normal force of an object is always directed upwards while the weight of the object is directed downwards.

According to Newton's third law of motion, the magnitude of the normal force of an object acting upwards is always equal to the weight of the object acting downwards.

The normal force applied by the table onto the gingerbread man is calculated as follows;

Fn = mg

where;

Fn = 0.2 kg  x  9.8 m/s²

Fn = 1.96 N

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The answer is true!!!!!!!!!!!

Increase in speed leads to increase in kinetic energy

Answer:

$200

Explanation:

\(total \:saved = months(monthly \: income - monthly \: outflows)\)

\(x = 8(450 - 425)\)

\( \times = 8(25)\)

you're going to find the difference of the two values

The money that could Valerie save in the next eight months without changing her income or spending pattern is $200.

Passive income is the form of revenue obtained from renting out a home. It is a consistent source of revenue that requires minimal work to maintain.

Earnings from a rental property, limited partnership, or other enterprise are some examples. Gross income includes all sources of revenue. It is an individual's entire personal income before taxes and deductions.

Taxable income is defined as an individual's or a business firm's earnings (amount of income) that are used as a basis by federal or state authorities to calculate the tax to be levied on them.

Total saved money = months (monthly income - monthly out of flow)

x = 8($450 - $425)

x = 8(25)

Therefore, Valerie might save $200 over the next eight months without changing her salary or spending habits.

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Answer:

Light travels at 3.0 x 108 m/s in a vacuum.

Explanation:

Light travels at 3.0 x 108 m/s in a vacuum.

Answer:

Explanation:

true

Answer:

Total contraction = 1.2277 mm

Explanation:

the solution is given in the picture below and it is more explanatory

The question asks for research findings on the impact of family processes on divorced families.

Numerous research studies have been conducted to understand the impact of family processes on divorced families. Some of the research findings in this area include:

1. Increased conflict: Research indicates that divorced families often experience higher levels of conflict compared to intact families. The process of divorce itself, along with ongoing co-parenting challenges, can contribute to elevated conflict between parents. This conflict can have negative effects on children's well-being and adjustment.

2. Co-parenting quality: Research has shown that the quality of co-parenting relationships post-divorce significantly impacts children's outcomes. Positive co-parenting, characterized by effective communication, cooperation, and shared decision-making, is associated with better psychological and behavioral adjustment in children. In contrast, high levels of conflict and poor co-parenting quality can increase children's risk of experiencing negative outcomes.

3. Parent-child relationships: Research findings indicate that the quality of parent-child relationships can be affected by the divorce process. Divorce can disrupt parent-child dynamics, leading to changes in parenting styles, decreased involvement, or strained relationships. However, research also highlights that post-divorce interventions and support can help improve parent-child relationships and mitigate the negative effects of divorce on children.

In summary, research on the impact of family processes on divorced families suggests increased conflict, the importance of co-parenting quality, and the potential effects on parent-child relationships. These findings highlight the significance of fostering positive family processes and providing support to divorced families to promote better outcomes for children.

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Option B. the stored electric field energy can be greater than the stored magnetic field energy. An inductor is connected in series to a fully charged capacitor.

An inductor, additionally known as a coil, choke, or reactor, is a passive-terminal electric issue that stores electricity in a magnetic field whilst electric modern flows through it. An inductor normally includes an insulated twine wound into a coil.

An inductor is a passive digital element that's able to store electrical power in the form of magnetic electricity. basically, it uses a conductor this is wound into a coil, and while power flows into the coil from the left to the proper, this will generate a magnetic subject in the clockwise direction.

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Answer:

A turbine spins to generate electricity. There are many ways to spin the turbine by using water, steam, nuclear and so on.

Answer:

Darren Bornstop (real name is Darren Campbell)

The term used to describe the relationship between how far a person falls and the length of rope that is available to catch that fall is "fall factor."

The "fall factor" is a term used in rock climbing to describe the amount of force generated on the climber's equipment in the event of a fall. It is calculated by dividing the length of the fall by the amount of rope available to absorb the fall. For example, if a climber falls 5 feet with only 2.5 feet of rope available to absorb the fall, the fall factor would be 2 (5 divided by 2.5).

The fall factor is important because it determines the amount of force that is applied to the climber's gear, such as the rope, carabiners, and anchors. Higher fall factors result in greater forces, which can increase the risk of equipment failure and lead to more serious injuries in the event of a fall. To reduce the risk of high fall factors, climbers can take precautions such as placing protection gear more frequently, using longer ropes, and avoiding falls from significant heights.

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Answer:

Unbalanced

Explanation:

There is an acceleration. Look at the direction of the arrows.

The free-body diagram of an apple falling through the air has weight of the apple pointing downwards and the air-resistance on the apple acting upwards.

When an object falls from up to the ground, the object falls under in the influence of acceleration due to gravity.

The vertical component of the force on the apple as it falls trough the air is given as;

∑Fy = 0

Fₙ - W = 0

Fₙ = W

where;

The free-body diagram of the apple is represented as follows;

                                         ↑ Fₙ

                                         Ο

                                         ↓ W

Thus, the free-body diagram of an apple falling through the air has weight of the apple pointing downwards and the air-resistance on the apple acting upwards.

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ANSWER

EXPLANATION

To find the centripetal acceleration, we have to apply the formula for centripetal acceleration:

where v = velocity of the vehicle

r = radius of the circular path

Therefore, the centripetal acceleration is:

That is the answer.

Using the planet's orbital period and the star's mass, you can calculate the planet's orbital radius or its distance from the star.

This is possible through Kepler's Third Law, which states that the square of a planet's orbital period is proportional to the cube of its average distance from the star. Mathematically, this is represented as (T²) ∝ (R³), where T is the orbital period and R is the orbital radius.

By knowing the mass of the star (M), you can also determine the gravitational constant (G) and use these values in the equation derived from Kepler's Third Law: (T² * G * M) / (4π²) = R³. Once you solve for R, you will have calculated the planet's orbital radius.

In summary, knowing the orbital period of a planet and the mass of its star enables you to calculate the planet's distance from the star using Kepler's Third Law. This information can be useful in understanding a planet's climate, potential habitability, and its overall place in the star system.

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The general solution is y(t) = c1t + c2t ln(t) - (1/3)ln(t), where c1 and c2 are arbitrary constants.

To find the general solution of the differential equation\(t^2\)y'' + 3ty' + y = ln(t), where t > 0, we can use the method of variation of parameters.

First, we find the complementary solution by solving the associated homogeneous equation\(t^2\)y'' + 3ty' + y = 0. This equation can be rewritten as \(t^2\)y'' + 3ty' + ty' + y = 0, and factoring out y' gives t(ty')' + (ty)' = 0. Integrating this equation, we obtain ty' + ty = c1, where c1 is a constant.

Now, we assume the particular solution as y_p = u(t)y1 + v(t)y2, where y1 and y2 are linearly independent solutions of the homogeneous equation. Differentiating y_p twice and substituting it into the original equation, we can solve for u'(t) and v'(t) using the formulas:

u'(t) = -(y2 ln(t))/(W(t)y1)

v'(t) = (y1 ln(t))/(W(t)y2)

Here, W(t) is the Wronskian of y1 and y2. After integrating u'(t) and v'(t), we can substitute the obtained expressions back into the particular solution equation to find the general solution.

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The work done by the piston in expanding against an external pressure of 2.35 atm is 545 J.

The work done by a piston can be calculated using the formula: work = -PΔV, where P is the external pressure, ΔV is the change in volume, and the negative sign indicates that work is done by the system (the piston) on the surroundings (the external pressure).

In this case, the external pressure is 2.35 atm, the initial volume is 0.455 L, and the final volume is 1.318 L. Therefore, the change in volume is:

ΔV = final volume - initial volume

ΔV = 1.318 L - 0.455 L

ΔV = 0.863 L

Substituting the values into the formula, we get:

work = -PΔV

work = -(2.35 atm)(0.863 L)

work = -2.025 J

Since the work done is negative, it means that the system loses energy as it expands against the external pressure. To obtain the absolute value of the work done, we take the magnitude of the negative work, giving: work = 2.025 J

Therefore, the work done by the piston in expanding against an external pressure of 2.35 atm is 545 J (rounded to three significant figures).

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The frequency of emitted light is directly proportional to the energy between the two orbits and this determines the color of the light.

Light can be defined as a form of electromagnetic waves that does not require any medium for its propagation. This ultimately implies that, light is a form of wave that is generally referred to as a visual signal because it can be seen with the eyes.

According to the model of light wave, the frequency of emitted light is directly proportional to the energy between the two orbits and this determines the color of the light.

In conlcusion, the frequency of emitted light is highly dependent on the energy between the two (2) orbits.

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Answer:

the ratio of distance travelled by effort to the distance travelled by load in the machine is called velocity ratio (VR)

The final velocity of the first ball after the collision is 1.167 m/s to the west.

The given parameters;

Let the velocity of the first ball after collision = v₁

Let the velocity of the ball at rest after collision = v₂

Apply the principle of conservation of linear momentum;

\(m_1u_1 + m_2u_2 = m_1v_1 + m_2v_2\\\\0.4(3.7)+ 0.2(0) = 0.4(-v_1) + 0.2v_2\\\\1.48 = -0.4v_1 + 0.2v_2\)

Apply one-directional velocity formula;

\(u_1 + v_1 = u_2 + v_2\\\\3.7 - v_1 = 0 + v_2\\\\v_2 = 3.7 -v_1\)

substitute the value of v₂ into the above equation;

\(1.48 = -0.4v_1 \ + \ 0.2(3.7 -v_1)\\\\1.48 = -0.4v_1 + 0.74 - 0.2v_1\\\\0.74 = -0.6v_1\\\\v_1 = \frac{-0.74}{0.6} \\\\v_1 = -1.167 \ m/s\)

\(v_2 = 3.7 + 1.167\\\\v_2 = 4.867 \ m/s\)

Thus, the final velocity of the first ball after the collision is 1.167 m/s to the west.

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The first statement is true; if dim V = p and if S is a linearly dependent subset of V, then S contains more than p vectors.

The second statement is false; if S spans V and if T is a subset of V that contains more vectors than S, then T is linearlyly dependent.

Explanation:

If S is linearly dependent, then there is at least one vector in S that can be written as a linear combination of the remaining vectors. If this is the case, then this vector is redundant, and it can be removed from S. This means that we can repeat the process until we have removed all the redundant vectors from S.So, let us assume that S is a linearly dependent subset of V such that dim V = p, then we have the following:dim (span S) < dim Vp. So S contains more than p vectors.

The  second statement is false; if S spans V and if T is a subset of V that contains more vectors than S, then T is linearly dependent.

Explanation:Let us assume that S spans V and if T is a subset of V that contains more vectors than S, then T must have a vector not in S. We can add this vector to S to get a set that contains all the vectors in T. The resulting set is linearly dependent because it contains more vectors than S, which is known to span V.

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Answer: a.False

              b.False

              c.False

              d.False

Explanation:

a. False.

When capacitors are connected in series, the charge on each capacitor is not the same. The same current flows through both capacitors, but the larger capacitor will store more charge than the smaller capacitor.

b. False.

The voltage across each capacitor is not the same when they are connected in series. The voltage is divided between the capacitors in proportion to their capacitance. The larger capacitor will have a smaller voltage drop than the smaller capacitor.

c. False.

The larger capacitor does not carry twice the charge of the smaller capacitor. The charge on the capacitors is related to their capacitance and the voltage across them, and is given by Q = CV. Since the voltage across both capacitors is the same, the larger capacitor will have twice the capacitance but half the voltage drop, resulting in the same charge as the smaller capacitor.

d. False.

The energy stored by each capacitor is not the same when they are connected in series. The energy stored in a capacitor is given by E = (1/2)CV^2. Since the voltage across each capacitor is not the same, the energy stored in each capacitor will be different. The larger capacitor will store more energy than the smaller capacitor, since it has a greater capacitance and a smaller voltage drop.

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a. The charge across each capacitor is the same: False

b. The voltage across each capacitor is the same: False

c. The 2C capacitor carries twice the charge of the other capacitor: False

d. The energy stored by each capacitor is the same: False

a. The charge across each capacitor is the same:

False. In a series connection, the charge on each capacitor is not the same. The charge on the 2C capacitor is half of the charge on the C capacitor.

b. The voltage across each capacitor is the same:

False. In a series connection, the voltage across each capacitor is not the same. The voltage across the C capacitor is greater than the voltage across the 2C capacitor.

c. The 2C capacitor carries twice the charge of the other capacitor:

False. As mentioned in part (a), the charge on the 2C capacitor is half of the charge on the C capacitor.

d. The energy stored by each capacitor is the same:

False. The energy stored by each capacitor is given by:

E = 1/2 * C * V^2

where C is the capacitance of the capacitor and V is the voltage across it. Since the voltage across each capacitor is not the same, the energy stored by each capacitor will also not be the same. The energy stored by the C capacitor will be greater than the energy stored by the 2C capacitor.

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Answer:

\(P=40 \ W\)

Conceptual:

\(\boxed{\left\begin{array}{ccc}\text{\underline{Equations for Work:}}\\W=F \Delta rcos(\theta) \ \text{(Constant} \ \vec F) \\W= \int\limits^{r_2}_{r_1} {Fcos(\theta)} \, dr \ \text{(Varible} \ \vec F) \end{array}\right }\)

The angle "θ" is the angle between the force applied and the direction of displacement.

\(\boxed{\left\begin{array}{ccc}\text{\underline{Formula for Power:}}\\\\P=\frac{W}{t} \end{array}\right}\)

Explanation:

Given that an engine does 400 J of work in 10 seconds. Find the power of the engine.

\(W=400 \ J\\t=10 \ s\)

Plug these values into the formula for power.

\(P=\frac{W}{t} \\\\\Longrightarrow P=\frac{400}{10}\\\\\therefore \boxed{P=40 \ W}\)

Thus, the engines power is calculated.

Answer:

666.6 kW

Explanation:

Power Formula

Calculating Force

Solving for Power