the amplitude of a lightly damped oscillator decreases by 3.72% during each cycle. what percentage of the mechanical energy of the oscillator is lost in each cycle?

Answers

Answer 1

The mechanical energy of the oscillator is lost in each cycle is 7.44%.

What is mechanical energy?

Mechanical energy- (Kinetic energy or potential energy-) is the energy- of either an objective in motions or the energy that is stored in objects by their position. Mechanical energy is also a driver of renewables to energy. Many forms of the  renewable energy relying on Mechanical energy to be the  adequately produced power or converted energy.

Since the energy is proportional to the amplitudes squared,then  we found the fractional changes (assumed small) is,

EE ,−E≈ E

dE=xm2dx

m2=xm2

2xmdxm=2x

mdx.m

Thus, if we approximately the fractional changes in  x

m​as x mdx m

then the above-mentioned calculations of shows that multiplying by  this by  2  should be give them fractional energy- change. Therefore, if  x

m decreases by  3.72%, then  E  must decreased by  7.44%.

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Related Questions

What is the measure of angle wxy? 73° 90° 107° 163°

Answers

The measure of the angle WXY after applying appropriate propertiy is ∠WXY = 107°.

What is angle sum property of a quadrilateral?

The angle sum property of a quadrilateral states that the sum of the interior angles of any quadrilateral is always equal to 360 degrees. This means that if you draw any quadrilateral, such as a square, rectangle, or parallelogram, and measure the angles inside the shape, the total of all those angles will always add up to 360 degrees.

Given a structure WXYZ with measure of ∠Y = ∠Z = 90° and ∠W=73°.

We have to find measure of ∠X .

Since, WXYZ is a closed figure having 4 sides, so it is a quadrilateral.

ANGLE SUM PROPERTY OF QUADRILATERAL

Sum of angles of a quadrilateral is always 360°

Thus, applying angle sum property to the given quadrilateral.

∠Y + ∠Z + ∠W + ∠X = 360°

90° + 90° + 73° + ∠X = 360°

253° + ∠X = 360°

∠X = 360° -253°

∠X = 107°

Thus, measure of angle ∠WXY = 107°.

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Answer:

WXY= 107

Explanation:

just did it

Use the drop-down menus to answer the questions. How do objects with the same charge interact? how do objects with opposite charges interact? how do uncharged objects interact?.

Answers

Answer:

1. They repel each other

2. They attract each other

3.They have no affect on each other

Explanation:

got em right

The interaction between the objects with same charge is repulsion.

The interaction between the objects with opposite charge is attraction.

There is no interaction between the uncharged objects.

What is meant by electrostatic force ?

Electrostatic force is defined as the force of attraction or repulsion that happens between two charged particles.

Here,

The interaction between the two charged particles is due to the electrostatic force of attraction or repulsion.

Case-1

Interaction between objects with the same charge.

When two objects with same charge are placed at a distance from each other, the force existing between them is the electrostatic force of repulsion. This is because they are two like charges and we know like charges never attracts each other. So, the interaction between them is repulsion.

Case-2

Interaction between objects with opposite charges.

When two objects with opposite charges are placed at a distance from each other, the force existing between them is the electrostatic force of attraction. This is because, they are two unlike charges and we know unlike charges will always attract each other. So, the interaction between them is attraction.

Case-2

Interaction between uncharged objects

When two uncharged objects are placed at a distance from each other, there will be o force of attraction or repulsion between them. This is because the electrostatic force acts between two particles that have charge. So, there is no interaction between the uncharged objects.

Hence,

The interaction between the objects with same charge is repulsion.

The interaction between the objects with opposite charge is attraction.

There is no interaction between the uncharged objects.

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Examine the Porter's 5 forces and explain how the forces are interconnected? Use examples to explain your answers. No less than 100 words

Answers

Porter's Five Forces is a framework used to analyze the competitive intensity and attractiveness of an industry. The five forces are: Threat of New Entrants, Bargaining Power of Suppliers, Bargaining Power of Buyers, Threat of Substitute Products or Services and Intensity of Competitive Rivalry.

Threat of New Entrants: This force considers the ease or difficulty for new competitors to enter an industry. It includes barriers to entry such as high capital requirements, economies of scale, brand loyalty, and government regulations.

Example: The airline industry is known for its high barriers to entry due to the significant capital required to purchase aircraft, establish routes, and secure necessary licenses and permits. Additionally, established airlines often have loyal customer bases and strong brand recognition, making it challenging for new entrants to compete effectively.

Bargaining Power of Suppliers: This force assesses the power suppliers have over the industry in terms of pricing, quality, and availability of inputs. It considers factors such as the concentration of suppliers, uniqueness of their products, and their ability to forward integrate.

Example: In the smartphone industry, major suppliers of components like microchips and display screens hold significant bargaining power. These suppliers provide essential inputs, and their products may have limited alternatives or require specialized manufacturing processes. As a result, smartphone manufacturers must negotiate favorable terms with these suppliers to ensure a reliable supply chain and competitive pricing.

Bargaining Power of Buyers: This force examines the power customers have in influencing prices, demanding better quality or service, and potentially switching to alternative products or suppliers. It considers factors such as buyer concentration, product differentiation, and switching costs.

Example: The retail industry experiences strong buyer power, particularly in highly competitive markets. Customers have access to various options, and their ability to compare prices and products easily through online platforms empowers them to demand competitive pricing, promotions, and high-quality products and services.

Threat of Substitute Products or Services: This force looks at the availability of alternative products or services that can satisfy customer needs. It considers factors such as price-performance trade-offs, switching costs, and customer loyalty.

Example: The rise of streaming services such as Netflix, Amazon Prime Video, and Hulu posed a significant threat to traditional cable and satellite TV providers. These streaming platforms offer a wide range of content at competitive prices, allowing customers to switch from traditional TV services to streaming options, resulting in a decline in subscriber numbers for traditional providers.

Intensity of Competitive Rivalry: This force evaluates the level of competition among existing firms in the industry. It considers factors such as the number and size of competitors, industry growth rate, product differentiation, and exit barriers.

Example: The soft drink industry, dominated by major players like Coca-Cola and PepsiCo, experiences intense competitive rivalry. These companies fiercely compete for market share through advertising campaigns, new product launches, pricing strategies, and distribution channels. The rivalry is further intensified by the high market saturation and the limited scope for differentiation among similar products.

The interconnection of these forces lies in their collective influence on the competitive dynamics and profitability of an industry. Changes in one force can trigger a chain reaction that impacts the others. For instance, a high threat of new entrants may lead to increased competitive rivalry as existing firms strive to defend their market share. Similarly, a strong bargaining power of buyers can limit the pricing power of suppliers and impact their profitability. Understanding these interconnections helps businesses assess the overall attractiveness and competitive landscape of an industry and develop appropriate strategies to thrive within it.

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What is dendrochronology? analysis of pollen analysis of tree rings analysis of fossils analysis of ice cores

Answers

Dendrochronology is the branch of science which deals with dating events and analysis of tree rings. Thus, the correct option is B.

What is Dendrochronology?

Dendrochronology is the method of scientific dating which are based on the analysis of tree ring growth patterns in the plants. Since, the tree growth is influenced by the climatic conditions, such as the temperature and precipitation of the environment, patterns in the tree-ring widths, density, and the isotopic composition reflect the annual variations in climate.

The science of the dendrochronology branch can be used to estimate when a tree was naturally died, if the calendar year dates of that tree growth rings can be determined. A tree's annual growth changes throughout the year with response to the changes in the seasonal climate.

Therefore, the correct option is B.

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Describe the language of the following PDA (z is the stack end symbol) (the figure can be located under a, z/bbz X, z/z b,6/1 ۸, 2/2 90 91 92 a, b/bbb 1 b,b/1

Answers

The language of the given pushdown automaton (PDA) can be described as follows:

The PDA has a stack alphabet consisting of symbols 'a', 'b', 'z', '6', '1', '۸', '2', '9', '0', 'x', 'y'. 'z' represents the stack end symbol.

The transitions of the pushdown automaton (PDA) are as follows:

(a, z, z) -> (X, z): This transition allows the PDA to replace an 'a' at the input with an 'X' on the stack while maintaining the stack end symbol 'z'.(z, b, z) -> (z, z): This transition allows the PDA to pop a 'b' from the input without modifying the stack.(z, z, b) -> (6, 1): This transition allows the PDA to push '6' and '1' onto the stack when encountering a 'b' on the input.(6, 1, b) -> (۸, 2): This transition allows the PDA to replace the '6' and '1' on the top of the stack with '۸' and '2' respectively when another 'b' is read from the input.(x, y, b) -> (b, b, b): This transition allows the PDA to replace 'x' and 'y' on the top of the stack with 'b', 'b', and 'b' when a 'b' is read from the input.(b, b, b, b) -> (1, b): This transition allows the PDA to replace the 'b', 'b', and 'b' on the top of the stack with '1' and 'b' when another 'b' is encountered.(1, b, b) -> (1, 1): This transition allows the PDA to replace the '1' and 'b' on the top of the stack with '1' and '1' when another 'b' is read from the input.(1, 1, z) -> (z, z): This transition allows the PDA to pop '1' from the stack without modifying the input.

Thus, the language accepted by this PDA is characterized by a sequence of 'a's followed by a sequence of 'b's, where the number of 'b's is three times the number of 'a's, and each 'b' is followed by a corresponding sequence of '90', '91', '92', 'a', 'b', 'b', 'b', '1', 'b', 'b', '1', and ending with '1'.

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Elements with low specific heat values have which characteristic?

Answers

Explanation:

lower number of atoms and gram

brainliest expected and your welcome

Answer:

low atomic mass

high thermal energy

low kinetic energy

low number of atoms per gram

lick and drag on elements in order arrange these colors of visible light from the highest frequency (top) to the lowest frequency (bottom).

Answers

To arrange the colors of visible light from the highest frequency (top) to the lowest frequency (bottom), click and drag the elements in the following order: violet, blue, green, yellow, orange, red.

Why do we arrange colors of visible light from highest to lowest frequency?

Colors of visible light are arranged from highest to lowest frequency because frequency is directly related to the energy of the light wave. Higher frequency light waves have more energy, while lower frequency light waves have less energy. When light passes through a prism or diffracts, it splits into its constituent colors, forming a spectrum. The spectrum ranges from violet, which has the highest frequency and thus the most energy, to red, which has the lowest frequency and the least energy.

The frequency of light determines its position in the electromagnetic spectrum, with visible light falling within a specific range. Violet light has the shortest wavelength and highest frequency, while red light has the longest wavelength and lowest frequency.

By arranging the colors of visible light from highest to lowest frequency, we can observe the progression of energy levels and understand the relationship between frequency and color.

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2.
The morning of a birthday party, a balloon is filled with 8.5 L of helium (He) when the temperature is
294 kelvin. The party starts at 4:00 p.m., at which time, the temperature has risen to 305 kelvin. What is
the new volume of the balloon?

Answers

Answer:

the balloon is filled with the 8.5 litre of helium. temperature is 294 kelvin.

party starts at 4 p.m.

the temperature rises 305 kelvin.

the new volume = 4 litres


33] You have long hair, you should:
a
Tuck it behind your ears.
b) Pull it back into a pony tail so that it is up out of the
way.
c) Don't worry about it, most labs aren't dangerous.

Answers

Answer:

B

Explanation:

hair can be a safety hazard

The answer is B, pull all your hair back so it isn’t in the way!

find the self-inductance of a 1800-turn solenoid 51 cm long and 4.0 cm in diameter. express your answer with the appropriate units.

Answers

The number of turns, \(\mu_0\) is the permeability of free space, l is the length of the solenoid, and R is its radius. L = 0.0011 H (Henries)

What is solenoid?

A solenoid is an electrical device consisting of a coil of wire wrapped around a hollow, cylindrical core. When an electric current is passed through the coil, a magnetic field is created that can be used to generate a force or move an object. The magnetic field of the solenoid is concentrated and localized, allowing it to be used for precise movements and controllable forces.

The self-inductance of a solenoid can be calculated using the formula

\(L = (N^2 * \mu_0 * l)/(R^2),\)

where N is the number of turns, \(\mu_0\) is the permeability of free space, l is the length of the solenoid, and R is its radius.

Plugging in the given values, we have:

\(L = (1800^2 * 4\pi*10^-7 * 0.51)/(0.02^2)\)
L = 0.0011 H (Henries).

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a 3.5kg child is swinging on a rope. the length of the rope attached to a tree branch is 7.00m. ths child passes through the lowest point of the curved path with a speed of 3.00m/s. what is the tension on the rope at this moment

Answers

The child's radial/centripetal acceleration at the lowest point of the swing is

a = (3.00 m/s)² / (7.00 m) = 1.29 m/s²

By Newton's second law, the tension in the rope is

T = (3.5 kg) (1.29 m/s²) = 4.5 N

(Does the question really say the child's mass is 3.5 kg? That's little more than the average mass of a newborn, about 3.3 kg. Not exactly a good idea to put a newborn on a swinging rope...)

which trophic level has the least available energy in kilojoules in this food web?

Answers

The highest trophic level has the least available energy in kilojoules.

Even though the food web is not shown in the question, but we know that energy decreases steadily as it is passed on from one trophic level to the next according to the second law of thermodynamics.

Energy enters into the system from the sun. The primary producers utilize this energy to produce food. As plants are eaten by animals, this energy is transferred along the food web an diminishes at each higher trophic level.

At the highest trophic level, the the least available energy in kilojoules in this food web is found.

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How much electricity is used to boil 600 g of water if the kettle has a power of 1500 W? The water boiled for 3 minutes and 9 seconds. Water density is 1000 kg/m3, specific heat of water is 4200 J/(kg· oC).

Answers

Answer:

The electrical energy consumed in boiling the water is 0.0788 kWh

Explanation:

Given;

mass of the water, m = 600 g = 0.6 kg

power rating of the kettle, P = 1500 W = 1.5 kW

specific heat capacity of water, c = 4,200 J/kg⁰C

density of water, = 1000 kg/m³

time taken to boil the water, t = 3 mins + 9 s = (3 x 60s) + 9 s = 180 s + 9 s = 189 s = \(189 \ s \times \frac{1 hr}{3.600 \ s} = 0.0525 \ hr\)

The electrical energy consumed in boiling the water is calculated as;

E = P x t

E = 1.5 kW  x 0.0525 hr

E = 0.0788 kWh

Therefore, the electrical energy consumed in boiling the water is 0.0788 kWh

How many valence
electrons are in the atom modeled below?

How many valence electrons are in the atom modeled below?

Answers

The answer is 8
Valence electrons are the outmost shell (the first one or the biggest circle) if you count the biggest one you have 8 :D

G You observe a red star and a blue star and are able to determine that they are the same size. Which star has a higher surface temperature, and which star is more luminous?

Answers

The blue star will have a higher surface temperature compared to the red star. It is difficult to determine which star is more luminous .

When observing a red star and a blue star and determining that they are the same size, the star with the higher surface temperature is the blue star. However, the star that is more luminous depends on the size and distance of the stars.In terms of color, blue stars are generally hotter than red stars. This is due to the temperature of the star, with hotter stars appearing blue-white and cooler stars appearing orange-red. Red stars have a lower surface temperature than blue stars, which means they have a longer wavelength and appear red. However, luminosity depends on the star’s size and distance from Earth. A star that is further away from Earth will appear less luminous than a closer star of the same size. Similarly, a larger star will be more luminous than a smaller star if they are both at the same distance from Earth.

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what is a point of view of an object used to determine another obejects motion i nedd help asap plsss​

Answers

a believe that’s called a reference point.

How much air resistance acts on a 100-N bag of nails that falls at its terminal speed?

Answers

100N because it’s at terminal speed which means the forces are balanced

An object with a charge of -3C is touched to an object with a charge of -1C. What is the new charge on each object?

Answers

After connecting the conducting wire, the spheres will redistribute charges until they both have a charge of -1C.

To determine the new charges on the spheres, we need to consider the principle of charge conservation, which states that the total charge before and after an interaction remains the same.

Let's assume that the spheres have charges Q1 and Q2 initially. In this case, Q1 = -3C and Q2 = +1C.

When a conducting wire is connected between the spheres, charge can redistribute until the system reaches equilibrium. Since the spheres are conducting, charges are free to move within them.

In the final state, the charges on the spheres will redistribute to reach a new equilibrium. Let's assume the new charges on the spheres are Q1' and Q2'.

According to the principle of charge conservation, the total charge before and after the connection remains the same:

Initial total charge = Q1 + Q2 = -3C + 1C = -2C

Final total charge = Q1' + Q2'

Since the total charge remains the same, we can write the equation:

Q1' + Q2' = -2C

Since the spheres are of equal size, we can assume that the charges redistribute equally:

Q1' = -1C

Q2' = -1C

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The question probable may be:

A conducting wire is connected between two conducting spheres of equal size have a charge of -3C and +1C respectively. Find out the new charge on each sphere ?

What would be the volume of a liquid that has a density of 1.2 g/mL and a mass of 24 grams

Answers

Answer:

The answer is 20 mL

Explanation:

The volume of a substance when given the density and mass can be found by using the formula

\(volume = \frac{mass}{density} \\\)

From the question

mass = 24 g

density = 1.2 g/mL

We have

\(volume = \frac{24}{1.2} \\ \)

We have the final answer as

20 mL

Hope this helps you

What is the total current I flowing through a system with two resistors in parallel with resistances of 2Ω and 5Ω, and a battery with potential difference of 10V?

Answers

Answer:

7A

Explanation:

Current I = potential difference V ÷ Resistance R

I = V/R ........1

The overall resistance of parallel resistors is;

1/Rt = 1/R1 + 1/R2 ........2

Given;

V = 10V

R1 = 2 ohms

R2 = 5 ohms

Substituting the values into equation 2, to calculate the overall resistance;

1/Rt = 1/2 + 1/5

1/Rt = 7/10

Rt = 10/7 ohms

From equation 1, we can solve for the total current;

I = V/Rt = 10/(10/7)

I = 7A

The total current I flowing through a system is 7A

A car traveling at a speed of 30 m/s encounters an emergency and comes to a complete
stop (vf = 0 m/s). How much time will it take for the car to stop if its acceleration is -4 m/s2?

Answers

Answer:

Explanation:

Use the one-dimensional equation

\(v_f=v_0+at\) which says that the final velocity of an object is equal to the object's initial velocity plus its acceleration times time. We are looking for time. That means the equation looks like this:

0 = 30 + (-4)t and

-30 = -4t so

t = 7.5 sec

The time taken for the car to stop if its acceleration is -4.0 m/s² is           7.5 seconds.

What is Equation of motion?

According to equation of motion, three motion equations commonly referred to as the rules of constant acceleration, exist for a uniform acceleration.

To derive the components such as displacement(s), velocity(initial =u and final = v), time(t), and acceleration(a), these equations are utilized.

The equations can be,

v=u + at or, v = u-atv²=u²+2as  s= ut+1/2 at²

As we have to Calculate the time :

The formula for the motion equation is

v = u - at

v - final velocity

u - initial velocity

a - acceleration

t - time

Here, v = 0 ,

u = 30 m/s

a = -4 m/s²

So substituting in, v = u - at

⇒0 = 30 - 4t

⇒4t = 30

⇒t = 30/4

t = 7.5 seconds

Therefore, the required time calculated is 7.5 seconds.

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Where is the sun located on Earth’s elliptical orbit?(1 point)
at a focus?
at the perihelium
at the aphelium
at the center of the two foci

Answers

Answer:

(C)

Explanation:

i took the test and please make me the brainlest

For two point particles with unequal masses and separated by some distance in a uniform gravitational field, the center of gravity

a. is coincident with the location of more massive particle.

b. is in-between and closer to the less massive particle and on the line joining the two particles.

c. is exactly in the middle and on the line joining the two particles.

d. is in-between and closer to the more massive particle and on the line joining the two particles.

e. is on the perpendicular bisector of the line joining the two particles.

Answers

The center of gravity of two point particles with unequal masses and separated by some distance in a uniform gravitational field is not coincident with the location of the more massive particle.

The center of gravity is the point at which the total gravitational force acting on the system of particles can be considered to act. It is calculated based on the masses and positions of the particles. For unequal masses, the center of gravity will be closer to the more massive particle but not exactly coincident with it. The position of the center of gravity depends on the masses and their relative positions, following the principle of the distribution of mass in a system. In summary, the center of gravity is not located exactly at the more massive particle but is closer to it.

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Which statement best describes the energy in this system?

Answers

What system ??? There’s no picture

An object is released from rest near a planet’s surface. A graph of the acceleration as a function of time for the object is shown for the 4 s after the object is released. The positive direction is considered to be upward. What is the displacement of the object after 2 s?

Answers

Answer:

the body has descended a height (4a)

Explanation:

This exercise should use the acceleration given in the graph, but unfortunately the graph is not loaded, but we can build it, using the law of universal gravitation and the fact that you indicate that the movement is near the surface of the planet

           F = m a

f

orce is gravitational force

           G M m / r² = m a

           a = G M / r²

where G is the universal constant of gravitation, M the mass planet and r the distance from the center of the planet of radius R to the body, if we measure the height of the body from the surface of the planet (y), we can write

           r = R + y

for which

           a = G M/R²     (1+ y/R)⁻²

if we use y«R we can expand the function in series

           a = (G M /R²)   (1 -2 y/R - 2 (-2-1) /2!   y² / R² +…)

as the height is small we can neglect the quadratic term and in many cases even the linear term, for this exercise we will remain only constant therefore the acceleration is constant

           a = G M / R²

from this moment we can use the relations of motion with constant acceleration for the exercise

a) they ask us for the position for t = 2s

            y = y₀ + v₀ t - a t²

as the body is released v₀ = 0

            y-y₀ = - a t²

            y-y₀ = - a 2²

             y-y₀ = - a 4

therefore  

therefore the body has descended a height (4a) where a is the acceleration of the planet's gravity

Developing: Ohm’s Law states that Voltage (V) = Current (I) x Resistance (R). You can calculate the voltage. You can also solve for current or resistance if you mathematically rearrange the equation.

Use Ohm’s Law to calculate the missing variable. Be sure to show your work in the space provided. Round to the nearest tenths.


What is the resistance of a light if the voltage is 12 V and the current is 15 A (living room)?




What is the voltage of a circuit with 15 amps (bedroom) of current and a bedroom light with 12 ohms of resistance?






There is a 28 resistance in the dryer. It is plugged into a 240 V circuit. How much current passes through the dryer?

Answers

V = I · R

I = V / R

R = V / I

R = V / I

Resistance of the living room light = (12V) / (15A)

Resistance of the light = 0.8 ohm

V = I · R

Voltage of the bedroom circuit = (15 A) · (12 ohms)

Voltage of the bedroom circuit = 180 volts

I = V / R

Current through the dryer = (240V) / (28 ohms)

Current through the dryer = 8.57 A

an object of volume 1m3 and density of 500kg/m3 float in water what volume of water is displaced​

Answers

Answer:

\(0.5\; \rm m^{3}\).

Explanation:

Calculate the mass of this object:

\(\begin{aligned}& m(\text{object}) \\ &= \rho(\text{object}) \cdot V(\text{object}) \\ &= 500\; \rm kg \cdot m^{-3} \times 1\; \rm m^{3} = 500\; \rm kg\end{aligned}\).

Multiple the mass of this object by the gravitational field strength, \(g\), to find the weight of this object: \(W(\text{object}) = m(\text{object}) \cdot g\).

Since this object is floating in water, the buoyancy force on it should be equal to its weight:

\(F(\text{buoyancy}) = W(\text{object}) = m(\text{object}) \cdot g\).

By Archimedes' Principle, the weight of the water that this object displaces would be equal to \(F(\text{buoyancy})\), the size of buoyancy force on this object,

Hence, the weight of water displaced would be \(W(\text{object}) = m(\text{object}) \cdot g\).

Divide this weight by \(g\) to find the mass of water displaced:

\(\begin{aligned} & m(\text{water displaced}) \\ &= \frac{W(\text{water displaced})}{g} \\ &= \frac{m(\text{object}) \cdot g}{g} = m(\text{object}) = 500\; \rm kg\end{aligned}\).

Assume that the density of water is \(\rho(\text{water}) = 1000\; \rm kg \cdot m^{-3}\). The volume of water displaced would be:

\(\begin{aligned}& V(\text{water displaced}) \\ &= \frac{m(\text{water displaced})}{\rho(\text{water})} \\ &= \frac{500\; \rm kg}{1000\; \rm kg \cdot m^{-3}} = 0.5\; \rm m^{3}\end{aligned}\).

Q3. A space probe is traveling in outer space with a momentum that has a magnitude
of . A retrorocket is fired to slow down the probe. It applies a force to
the probe that has a magnitude of and a direction opposite to the probe’s
motion. It fires for a period of 12 s. Determine the momentum of the probe after the
retrorocket ceases to fire

Answers

The momentum of the probe after the retrorocket ceases to fire is 9.9 * 10^7 Kg m/s

What is the momentum?

We know that the momentum of an object has to do with the product of the mass and the velocity of an object. The momentum of an object is a vector quantity and the direction of the momentum is the direction of the velocity of the object that is in motion.

According to the Newton second law of motion, we know that the rate of change of the momentum is equal to the impressed force that is acting on the body.

We know that;

\(F_{t}\) = \(p_{f}\) -\(p_{i}\)

F = force

t = time taken

\(p_{f}\)= final velocity

\(p_{i}\) = initial velocity

\(p_{f}\) = \(F_{t}\)  + -\(p_{i}\)

\(p_{f}\) = (2.0 * 10^6 * 12 s) + 7.5 * 10^7

\(p_{f}\)  = 2.4 * 10^7 + 7.5 * 10^7

\(p_{f}\)  = 9.9 * 10^7 Kg m/s

Hence, the momentum of the retrorocket is 9.9 * 10^7 Kg m/s.

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Missing parts;

A  space probe is traveling in outer space with a momentum that has a magnitude of  7.5 * 10^7 kgm/s. A retrorocket is fired to slow down the probe. It applies a force to the probe that has a magnitude of 2.0  * 10^6 N and a direction opposite to the probe's motion. It fires for a period of 12 s. Determine the momentum of the probe after the retrorocket ceases fire.

What will be the atomic radius of copper, if the distance between two adjacent copper atoms in metallic copper is 256 pm?

Answers

The atomic radius of copper is approximately 128 picometers (pm).

The atomic radius of an element is defined as half the distance between the nuclei of two identical adjacent atoms in a molecule. In the case of metallic copper, the copper atoms are arranged in a crystal lattice, and the distance between two adjacent copper atoms in the lattice is known as the interatomic distance or lattice parameter.

We are given that the distance between two adjacent copper atoms in metallic copper is 256 pm. Since this is the distance between the nuclei of two adjacent atoms, the sum of the atomic radii of the two copper atoms is equal to 256 pm.

Therefore, the atomic radius of copper can be calculated as follows:

Atomic radius of Cu = (interatomic distance between adjacent Cu atoms) / 2

Atomic radius of Cu = 256 pm / 2

Atomic radius of Cu = 128 pm

Hence, the atomic radius of copper is approximately 128 picometers (pm).

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what is the difference between a 4x100 and a 4x400 relay

Answers

a 4x100 relay is where 4 people run 100 meters and a 4x400 relay is where 4 people run 400 meters
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