A helicopter lifts a 63 kg astronaut 19 m vertically from the ocean by means of a cable. The acceleration of the astronaut is g/12. How much work is done on the astronaut by (a) the force from the helicopter and (b) the gravitational force on her

Answers

Answer 1

(a) The work done on the astronaut by the force from the helicopter is 12,552 J. (b) The work done on the astronaut by the gravitational force is -12,552 J.

(a) The work done on the astronaut by the force from the helicopter can be calculated using the formula: \(Work = Force * Distance * cos(theta)\), where theta is the angle between the force and the displacement. In this case, the force from the helicopter is equal to the weight of the astronaut (mass * acceleration due to gravity), and the distance is the vertical distance traveled. Since the force and displacement are in the same direction, the angle between them is 0 degrees, and the cosine of 0 degrees is 1. Thus, the work done by the force from the helicopter is given by: \(Work = (mass * acceleration due to gravity) * distance\) = (63 kg * 9.8 m/s^2) * 19 m = 12,552 J.

(b) The work done on the astronaut by the gravitational force can be calculated using the formula: Work = Force * Distance * cos(theta). In this case, the force is the weight of the astronaut (mass * acceleration due to gravity), the distance is the same vertical distance traveled, and the angle between the force and displacement is 180 degrees since they act in opposite directions. The cosine of 180 degrees is -1. Thus, the work done by the gravitational force is given by: \(Work = (mass * acceleration due to gravity) * distance * (-1)\) = -12,552 J. The negative sign indicates that the gravitational force is doing work in the opposite direction of the displacement.

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Related Questions

Wat is the statement of law intertia

Answers

Answer:

here

Explanation:

Law of inertia states that a body remains in a position of rest or motion along a straight line unless an external force is applied..

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Law of inertia, also called Newton's first law, postulate in physics that, if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by a force.

A car is going 60.0 mi/h and has to stop in 6.0 seconds. What is the car’s acceleration?

Answers

Explanation:

Convert mi/h to ft/s.

60.0 mi/h × (5280 ft/mi) × (1 h / 3600 s) = 88.0 ft/s

Find the acceleration.

a = Δv / Δt

a = (0 ft/s − 88.0 ft/s) / 6.0 s

a = -14.7 ft/s²

The driver must accelerate the car at the average rate of

- 10 mile / hour-second

for 6 seconds .

If you cause the surfaces between two touching objects to change, how will the friction be affected?

Answers

Friction occurs because the microscopic hills and valleys of two touching surfaces increases. Describe how the amount of force pushing two surfaces together affects friction. As the force pushing two surfaces together increases, the friction between the surfaces increases. Hope this helps! Mark brainly please!

The smaller the mass of an object, the _____ its inertia

Answers

Answer:

larger

Explanation:

just trust me

The smaller the mass of an object, the smaller its inertia, because the inertia of any object is directly proportional to the mass of the object

What is inertia?

The ability of an object to resist changes in motion is known as inertia. The amount of inertia is directly related to an object's mass; in fact, as we frequently observe, the heavier an object is, the harder it is to change its direction of motion.

A straightforward illustration: While it is relatively simple to stop a tennis ball that has been thrown in our direction, we are aware that it is more difficult to stop a large truck that is moving in the same direction at the same speed. This is because the truck has a much higher mass than the tennis ball and a higher moment of inertia. As a result, inertia rises as mass does.

Since the inertia of any object is directly proportional to its mass, the smaller its mass, the less inertia it will have.

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The fact that quasars can be detected from distances where even the biggest and most luminous galaxies cannot be seen means that Select one: A. they must be in directions where intergalactic absorption by dark matter is minimum, allowing us to see them. B. they must be intrinsically far more luminous than the brightest galaxies. C. they have not been as redshifted by their motion as have galaxies, and hence they can still be seen. D. they must be in directions where gravitational focusing by the masses of nearer galaxies makes them visible from Earth.

Answers

Answer:

B. they must be intrinsically far more luminous than the brightest galaxies.

Explanation:

Quasar is famous for being an intergalactic object which is billions of years away from the earth yet can still be seen, unlike the other star body, unlike giant galaxies.

Hence, the fact that quasars can be detected from distances where even the biggest and most luminous galaxies cannot be seen means that "they must be intrinsically far more luminous than the brightest galaxies."

This condition, including other related evidence gotten in recent years concerning our galaxy, has shown that quasars are probably the central nuclei of very distant, very active galaxies.

A compressor for a jackhammer expands the air in the hammer’s cylinder at a constant pressure of 8. 6 x 10^5 Pa. The increase in the cylinder’s volume is 4. 0^5 x 10^-4 m^3. During the process, 9. 5 J of energy is transferred out of the cylinder as heat.



A. What is the work done by the air


B. What is the change in the air’s internal energy


C. What type of ideal thermodynamic process does this approximate

Answers

The work done by the air is 88.06kJ, the change in the air’s internal energy is 357.8J and the type of ideal thermodynamic process is isobaric process.

Given the constant pressure of cylinder (P) = 8.6 x 10^5Pa.

The increase in the cylinder’s volume is (V) = 4.0^5 x 10^-4 m^3.

The energy transferred out of the cylinder as heat (Q) = 9.5J

(a) We know that work done (W) = -PexternalΔV

W = -8.6 x 10^5 x 4.0^5 x 10^-4 = -88.06kJ

Hence the work done is 88.06kJ.

(b) From first law of thermodynamics we know that change in internal energy is equal to heat released - work done.

ΔU = Q - W where W is work and U is internal energy.

ΔU = -9.5 - 348.3 = -357.8J

(c) The type of ideal thermodynamic process this approximates is isobaric process. Under constant pressure, the isobaric process is a thermodynamic process. Even though the pressure is constant in this operation, the temperature, volume, and internal energy are not.

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A light bulb has a resistance of 800 ohms. The current going through the bulb is 0.15 A. What is the potential difference across the light bulb?

A) 12 V
B) 5333 V
C) 120 V
D) 53.33 V

Answers

Answer:

120 V

Explanation:

v=i*r

v=0.15*800

v=120

In a river of bed width of 600 m and bed slope of 7.5 cm/km, it is found that the bed material just begin to move when the discharge is 120 million m³/day. Assuming the mean velocity to vary with the water depth and slope according to the relation: v = 120 y $2/³, find the bed slope at which the same tractive force on the bed would be produced with a discharge of 365 million m³/day.

Answers

The bed slope required to produce the same tractive force on the bed with a discharge of 365 million m³/day can be determined using the given equation for mean velocity variation.

Bed width (B) = 600 m

Initial discharge (Q1) = 120 million m³/day

Initial bed slope (S1) = 7.5 cm/km

The equation for mean velocity (v) = 120 y^(2/3), where y is the water depth.

To find the bed slope (S2) for a new discharge (Q2) of 365 million m³/day, we need to equate the tractive force on the bed for both scenarios.

The tractive force on the bed can be represented as:

Tractive force =\((Rho * g * S * B * v^2) / (R * D50)\)

where:

Rho is the density of water,

g is the acceleration due to gravity,

S is the bed slope,

B is the bed width,

v is the mean velocity, and

R and D50 are constants.

Since we are comparing two scenarios with the same tractive force, the following equation can be formed:

\((Rho * g * S1 * B * v1^2) / (R * D50) = (Rho * g * S2 * B * v2^2) / (R * D50)\)

Simplifying the equation:

\(S1 * v1^2 = S2 * v2^2\)

Substituting the given values:

\(S_1 * (120 y_1^{(2/3))^2 = S_2 * (120 y_2^{(2/3))^2\)

Rearranging the equation:

\(S_2 = S_1 * (120 y_1^{(2/3)})^2 / (120 y_2^{(2/3)})^2\)

We know that Q = B * v * y, where Q is the discharge. Rearranging this equation gives:

\(v = Q / (B * y)\)

Substituting the values for Q1 and Q2, we have:

\(v1 = 120 million / (B * y1)\)

\(v2 = 365 million / (B * y2)\)

Substituting the expressions for v1 and v2 in the equation from step 7:

\(S_2 = S_1 * (120 y_1^{(2/3)})^2 / (120 y_2^{(2/3)})^2\)

\(= S_1 * (120^2 * y_1^{(4/3)}) / (120^2 * y_2^{(4/3)})\)

\(= S_1 * (y_1^{(4/3)} / y2^{(4/3)})\)

Since the bed material just begins to move when Q = 120 million m³/day, the velocity can be expressed as \(v = v_1 = 120 y1^{(2/3)}.\)

Therefore, the equation for S2 becomes:

\(S_2 = S_1 * (y_1^{(4/3)} / y_2^{(4/3)})\)

=\(S_1 * (120^{(4/3)} * y_1^{(4/3) }/ (120 y_2^{(2/3)})^{(4/3))\)

\(= S_1 * (120^{(4/3)} * y1^{(4/3)} / (120^{(4/3)} * y2^{(4/3)}))\)

\(= S_{1 * (y_1^{(4/3)} / y_2^{(4/3)})\)

Finally, substituting the values for y1 and y2:

\(S_2 = S_1 * (y_1^{(4/3) }/ y_2^{(4/3)})\)

= \(S_1 * (y_1^{(4/3)} / (365 / 120)^{(4/3)})\)

Now, you can substitute the values for y1, and S1, and calculate S2 accordingly.

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What factors affect an objects kinetic energy?

Answers

Answer:

friction

air drag

every thing that opposes the motion affects kinetic energy

Explanation:

kinetic energy is a energy which is increase with increase in motion and potential energy is energy stored while the object is at rest

potential energy ∝ 1/(kinetic energy)

as kinetic energy increases potential energy decreases

10. What is the solution of the equation
-9x + 4 = -8- 5x?
A x = -3
B x=
2/7
x = 1
℗ x = 3

Answers

The answer to your question is x=3

Answer:

x=3

-9x+4= -8-5x

+5x +5x

-4x+4= -8

-4 -4

-4x= -12

/-4. /-4

x=3

some comon salt was put into a flask. Water was then added carefully using a pipette without shaking the salt. After shaking, the volume of the solution reduced. Explain the observation​

Answers

The observed reduction in the volume of the salt solution after shaking suggests that the added water was able to dissolve the salt, resulting in a more compact solution.

A solution is a homogeneous mixture made up of two or more substances that are evenly distributed at a molecular or ionic level. The substance that is present in the largest amount is called the solvent, and the substances that are dissolved in it are called solutes. The solutes can be gases, liquids, or solids.

The process of forming a solution involves the solute particles being surrounded by the solvent particles, which causes the solute particles to become evenly distributed throughout the solvent. The attractive forces between the solvent and solute molecules or ions play a crucial role in determining the concentration of the solution.

Solutions can have a wide range of properties, such as color, density, boiling and melting points, and electrical conductivity, which depend on the identity of the solutes and the solvent. Solutions are an essential part of many chemical, biological, and industrial processes, and understanding their properties and behavior is crucial in many fields of science and technology.

Here in this Question, When salt is added to water, it dissolves to form a saltwater solution. However, the addition of more water than the solubility of salt causes some of the salt to remain undissolved at the bottom of the flask. When the flask is shaken, the salt particles that were initially undissolved become suspended in the solution due to the agitation, thereby reducing the volume of the solution. This is because the suspended particles take up space in the solution, which was initially occupied by the water molecules.

Therefore, The observed decrease in salt solution volume after shaking indicates that the salt was able to dissolve in the additional water, resulting in a more compact solution.

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if velocity = 4, the quantity of money = 20,000, and the price level = 2.5, then the real value of output is

Answers

The Nominal value of output is $8,000 if the quantity of money = 20,000, and the price level = 2.5.

Velocity = 4

The quantity of money = 20,000

Price level = 2.5

The real value is the adjusted inflation nominal value. The real value can be received by deducting the price level from the nominal value for term series data from the perspective of economic trends.

To calculate the real value of output from the real GDP, the formula will be:

Real GDP = quantity of money  ÷ Price Level

Real GDP = 20,000 / 2.5

Real GDP = $8,000

Therefore, we can conclude that the real value of output is $8,000.

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Which of the following are produced by the process of cellular respiration? A. Sugar and carbon dioxide B. Carbon dioxide and water C. Light energy and water D. Carbon dioxide and oxygen

Answers

Answer:

B carbon dioxide and water

Your answer should be

B

because of life-sustaining activities

which occurs when neutral object a is charged by induction by charged object b? a. charge transfers from object b to object a. b. charge transfers from object a to object b. c. charges on object a are rearranged. d. charges on object b are rearranged.

Answers

When a neutral object is charged by induction by a charged object, the charges on the neutral object are rearranged. This means that option c is the correct answer. Induction occurs when a charged object is brought near a neutral object, and the charges in the neutral object are rearranged without any transfer of charge between the two objects.

The charged object polarizes the neutral object, attracting opposite charges and repelling like charges. This results in a separation of charges within the neutral object, with one side becoming positively charged and the other side becoming negatively charged. However, the net charge of the neutral object remains zero, as no charge is transferred between the two objects. It is important to note that induction can only occur if the charged object is near but not touching the neutral object.
When a neutral object A is charged by induction by charged object B, the process that occurs is (c) charges on object A are rearranged. In this process, object A remains neutral overall, but its charges are redistributed due to the influence of object B's electric field. The charged object B induces separation of positive and negative charges within object A, creating regions of opposite charge without transferring charges directly between the two objects.

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What is the correct definition of the word clan?
a.
a cluster of multistory structures made out of adobe
b.
a large family, or group of families, related through common ancestory
c.
a portable dome or arch shaped home made out of wooden sticks and covered in animal skin, mud, or grass
d.
religious leader who was believed to have the power to heal as well as predict and control future events


Please select the best answer from the choices provided

A
B
C
D

Answers

the answer is b. a large family, or group of families, related through common ancestory.

In a paragraph, analyze the strengths and weaknesses of the medical model in the treatment of mental illnesses.

Answers

Answer:It is regarded as impartial because it is based on established biological science. It has shed light on the causes of some conditions, including GPI and Alzheimer's disease, an organic condition that causes elderly people to become confused. Treatment is convenient, inexpensive, and simple to administer when compared to other options.  

Disability is viewed as something 'wrong' with a person's body or mind in the medical model. The medical model has been chastised for treating the impairment as the most important aspect of the person and implying that the person is powerless to change it.

Explanation:

A hemispherical tank is full of oil (density = 50 pc). It has a diameter of 10 ft. Find the work done in Ib-ft in pumping all the liquid out of the tank

Answers

The work done in pumping all the liquid out of the tank is 2500π lb-ft.

Work done calculation

The potential energy of an object is given by the formula:

PE = mgh

Given:

Density of oil = 50 lb/ft^3

Diameter of the tank = 10 ft ( r = 5 ft)

To calculate the work done, we need to find the mass of the oil and the height it is lifted. Let's start by finding the mass:

Volume of oil in the tank:

The volume of a hemisphere = (2/3) * π * (r^3)

Volume = (2/3) * π * (5^3) = (2/3) * π * 125 = 250π/3 ft^3

Mass of the oil:

Mass = Volume * Density = (250π/3) * 50 lb

Now, we need to find the height of the tank. For a hemisphere, the height is equal to the radius (5 ft).

Finally, we can calculate the work done:

Work = PE = mgh = (250π/3) * 50 lb * 5 ft

Work = (250π/3) * 50 * 5 lb-ft

       = 2500π lb-ft

So, the work done in pumping all the liquid out of the tank is approximately 2500π lb-ft.

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An electron is moving in an orbit of radius r with frequency f. The magnetic moment produced is given by.

Answers

The magnetic moment produced by an electron moving in an orbit of radius r with frequency f is given by:

μ = eπr²f

The magnetic moment (μ) produced by an electron moving in an orbit can be given by the equation:

μ = (e/2m) * L

where e is the charge of the electron, m is the mass of the electron, and L is the angular momentum of the electron.

The angular momentum (L) of the electron can be calculated using the equation:

L = mvr

where v is the velocity of the electron and r is the radius of the orbit.

The frequency (f) of the electron can be related to the velocity (v) and radius (r) using the equation:

f = v / (2πr)

By substituting this relation into the expression for angular momentum, we get:

L = m * v * r = (m * f * 2πr) * r = 2πmr²f

Substituting this value of angular momentum back into the equation for magnetic moment, we have:

μ = (e/2m) * L = (e/2m) * (2πmr²f) = eπr²f

Therefore, the magnetic moment produced by an electron moving in an orbit of radius r with frequency f is given by:

μ = eπr²f

This equation shows that the magnetic moment is directly proportional to the charge of the electron (e), the square of the radius of the orbit (r²), and the frequency of the electron's motion (f).

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sky surveys looking for radio signals generated by technology are part of the:_____.

Answers

Sky surveys looking for radio signals generated by technology are part of the field of radio astronomy. This involves using telescopes and other equipment to observe and analyze radio waves from space.                                                              

One important aspect of radio astronomy is the search for extraterrestrial intelligence, or SETI, which involves looking for signals that could potentially be generated by advanced civilizations on other planets. Radio astronomy also has many practical applications, including the study of cosmic microwave background radiation and the detection of pulsars and other celestial objects.
By conducting sky surveys and analyzing radio signals, researchers hope to identify potential signs of advanced extraterrestrial life using radio communication or other technologies. This field of study continues to evolve as new methods and tools become available, further enhancing our ability to search for intelligent life in the universe.|

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Match each term with its best description.
Metamorphic
rock
Foliation
Burial
metamorphism
Parent rock
?
?
?
?
The original rock before it
metamorphoses.
Parallel alignment of platy
grains.
A rock changed by heat,
pressure, and fluids.
A process that changes
rock because of pressure
with equal intensity from

Answers

Metamorphic rock: A rock changed by heat, pressure, and fluids.

Foliation: Parallel alignment of platy grains.

Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides.

Parent rock: The original rock before it metamorphoses.

Metamorphic rock: A rock changed by heat, pressure, and fluids. The word metamorphic means change in form. Metamorphic rocks are made by rocks that have been altered in some way. This can happen through heat, pressure, and fluids. Examples of metamorphic rocks include slate, gneiss, and marble.

Foliation: Parallel alignment of platy grains. Foliation is a term used to describe the parallel alignment of platy grains in a metamorphic rock. This is caused by pressure during metamorphism. The platy grains can be minerals like mica or clay.

Burial metamorphism: A process that changes rock because of pressure with equal intensity from all sides. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. This can happen when rocks are buried deep within the earth's crust.

Parent rock: The original rock before it metamorphoses. The parent rock is the original rock before it metamorphoses. This rock is changed into a metamorphic rock through the process of metamorphism.

To summarize, metamorphic rock is a rock that has been changed by heat, pressure, and fluids. Foliation refers to the parallel alignment of platy grains. Burial metamorphism is a process that changes rock because of pressure with equal intensity from all sides. The parent rock is the original rock before it metamorphoses.

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Why do we always use water as a reference material when determining the relative density of a substance

Answers

Answer:

Because of it being able to become a gas, a liquid, and solid, and because its used in lots of chemical experiments. (also because its easier to describe it than any other liquid)

Explanation:

1. Water is used in most Chemicals, therefore its being used as a reference material.

2. W

What is an expansion gap?

Answers

Answer:

An expansion gap is a term used when fitting wooden flooring. It is an essential gap that must be left around the edge of the room when fitting hardwood, bamboo or laminate flooring.

Explanation: i hope it helps

The magnetic field on Earth is due primarily

a) iron and nickel sinking into the core
b) magnesium diffusing through the mantle
c) aluminum remaining in the crust
d) silicates rising to the surface​

Answers

The magnetic field on Earth is due primarily to iron and nickel sinking into the core. Option A is correct.

A magnetic field is a region in space where a magnetic force is experienced by a magnetic object or a moving charged particle. It is created by the motion of electric charges, such as electrons in atoms, or the movement of current in a wire.

The Earth's core is composed mainly of iron and nickel, and the movement of these metals in the liquid outer core generates a magnetic field through a process known as dynamo action.

The flow of liquid metal in the outer core generates electric currents, which in turn create the magnetic field that surrounds the Earth. This magnetic field is important for protecting the Earth from harmful solar radiation and is also responsible for phenomena such as the aurora borealis.

Hence, A. is the correct option.

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what is the resistance of an object that produces a current of a 6 A and has a voltage of 30 ​

Answers

Answer:

this is the answer the required questions

hope you like this

what is the resistance of an object that produces a current of a 6 A and has a voltage of 30

I will name you the brainliest if you please help me.
Which formula is correct for calculating the ideal mechanical advantage?
Please help me.

Answers

effort distance/resistance distance or length of ramp/height of ramp or dE/dr  is correct for calculating the ideal mechanical advantage

Theideal mechanical advantage would not have any friction. this is due to the fact that some of the effort put into the machine is lost trying to overcome friction.

ideal mechanical advantage is denoted by the sign IMA, that ignores the drawbacks of friction.

The force amplification achieved at "ideal" MA is measured without accounting for efficiency losses. Theoretically, a straightforward method might accomplish this level of amplification.One of the simplest representations of a mechanical advantage is a lever. You may model the mechanical advantage as follows:where the mechanical advantage corresponds to the a/b ratio. This is an illustration of a "perfect" mechanical advantage since no additional power is provided to the system or efficiency losses occur. The connection between the fulcrum and the lever would, at the very least, have some friction, which would dissipate part of the force amplification and produce a mechanical advantage that was less than optimal.

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Please help me with this (20 points)

Please help me with this (20 points)

Answers

Answer:

1. troposphere

2. troposphere (still)

3. The most abundant gas in the atmosphere is nitrogen, with oxygen second. Argon, an inert gas, is the third most abundant gas in the atmosphere.

4.The stratosphere is where you'll find the very important ozone layer. The ozone layer helps protect us from ultraviolet radiation (UV) from the sun. In fact, the ozone layer absorbs most of the UV radiation the sun sends to us. Life as we know it wouldn't be possible without this layer of protection.

5. It contains the ozone, which protects Earth from the sun's radiation. Why aren't there many meteors in the troposphere? They burn up before they reach the troposphere.

Explanation:

1.The troposphere is the atmospheric layer closest to the planet and contains the largest percentage (around 80%) of the mass of the total atmosphere. Temperature and water vapor content in the troposphere decrease rapidly with altitude.

2.The layer closest to Earth's surface is the troposphere, reaching from about seven and 15 kilometers (five to 10 miles) from the surface. The troposphere is thickest at the equator, and much thinner at the North and South Poles.

3. Explained in the answer.

4. Explained in the answer.

5. Explained in the answer.

Prove that the two equations shown below are equivalent.​

F = ma and F = p/t​

Answers

Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. For a constant mass, force equals mass times acceleration.

\(\Delta p = mv - mu \\\\\implies \Delta p = m(v-u) \\\\F = \dfrac{\Delta p}{\Delta t} = \dfrac{m(v-u)}{\Delta t} = ma\)

F = ma is the formula of Newton’s Second Law of Motion.

To prove Newton's second law of motion,

Given Force F = Δp/Δt

What is relation between F = ma and F = Δp/Δt?Newton’s Second Law of Motion is defined as Force is equal to the rate of change of momentum. The second law of Newton can be described as the acceleration of an object which produces a net force is directly proportional to the magnitude of the net force, in the same path i.e., direction as the net force, and inversely proportional to the mass of the object.As the acceleration has its magnitude and direction it is a vector quantity.

Proof for F=ma

     Let us consider an object of mass m, moving along a straight line with an initial velocity u, final velocity v and it has some particular time t and thus Momentum can be related as,

For initial velocity u, p1 = m × u

The final velocity v, p2 = m × v

The change in momentum can be expressed as

p2 – p1 = (m × v) – (m × u)

p2 – p1 = m (v – u)

Here, we know that the rate of change of momentum with respect to time is proportional to the applied force.

The applied force F,

F ∝ [m (v – u)]/t

F ∝ m × a

As acceleration (a) is the rate of change of velocity with respect to time.

F = k × m × a

F = ma

where k can be the constant.

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what properties such as color density hardness

Answers

The general properties of matter such as color, density, hardness, are examples of physical properties. Properties that describe how a substance changes into a completely different substance are called chemical properties.

Q9. Two points P and Q on a progressive wave are separated by distance d. The phase difference between P and Q is rad. What is the wavelength?

Answers

Two points P and Q on a progressive wave are separated by distance d. The phase difference between P and Q is rad. The wavelength of the wave would be 8 times the distance between points P and Q.

In a progressive wave, the phase difference between two points is related to the wavelength of the wave. To find the wavelength (λ) given the phase difference (ϕ) and the distance (d) between two points, we can use the formula:

ϕ = 2π(d/λ)

Rearranging the equation to solve for λ, we have:

λ = (2πd) / ϕ

In this case, the phase difference between points P and Q is given as ϕ radians. The distance between these points is denoted by d. By substituting these values into the equation, we can determine the wavelength of the wave.

It's important to note that the phase difference is typically measured in radians, and one complete wave cycle corresponds to 2π radians.

For example, let's say the phase difference between points P and Q is π/4 radians, and the distance between them is d. Using the formula above, the wavelength would be:

λ = (2πd) / (π/4)

λ = (8πd) / π

λ = 8d

This calculation demonstrates how the phase difference and distance between points on a wave are related to the wavelength. By knowing the phase difference and distance, we can determine the wavelength of the wave using the formula derived from the wave's periodic nature.

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A box moves 5\,\text m5m5, start text, m, end text horizontally when force F=20\,\text NF=20NF, equals, 20, start text, N, end text is applied at angle \theta=45\degreeθ=45°theta, equals, 45, degree. What is the work done on the box by FFF during the displacement?

Answers

Answer:

70.71

Explanation:

Given that :

Force (F) = 20N

Distance moved (d) = 5 m

θ = 45°

Workdone on the box :

Workdone (W) = Fdcosθ ; where ;

F = Force, d = Displacement, θ = angle

W = 20 * 5 * cos45°

W = 100 * 0.7071067

W = 70.71 Nm

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