Calculate the total work done (J) by a force given by: F = ( 3i


-6j) N to move an object a displacement given by: R = ( 8i +


6k) m


O a


- 12


Rb


18 i-48)


C C


C


24i - 36j


O d.


d


+ 24

Answers

Answer 1

Work done (J) by the force is 60i - 78j + 18k.

Given,

F = (3i - 6j) NR

= (8i + 6k) m – 12i – 18j + 24J

= F * dJ = (3i - 6j) * (8i + 6k – 12i – 18j + 24)J

= (3i - 6j) * (-4i - 18j + 6k + 24)J

= (-12i - 54j + 18k + 72i - 24j)J

= (60i - 78j + 18k)J

Work done (J) by the force is 60i - 78j + 18k.

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Related Questions

A copper cannot be changed into magnet

Answers

Answer:

copper isn't magnetic

Explanation:

compare the conditions that led to the formation of the inner planets with those that led to the formation of the outer planets.

Answers

The process of formation of the inner planets, namely from a collection of solid objects, gas, and dust that are joined in a heavy mass. During the initial process of forming a gas disc, a number of dust, gas, and other surrounding material fly in the same mass line and surround the sun like a belt.

The process of forming the outer planets is from the cooling process of several clumps that also orbit, continue to spin, and pull the sky material around them in the form of gas, dust and solid objects with their own gravity then solidify and become planets.

The Solar System is a collection of celestial bodies consisting of a star called the Sun and all objects bound by its gravitational force. The Sun is the center of the solar system. The sun is a star that is closest to the earth. Like other stars, the Sun is a hot object composed of various high-pressure gases. The sun is gigantic when compared to even the largest planet.

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The first one playing chinese garter will be chosen by doing

a. save

b. jack en poy

c. stretching

d. mother/father

e.one

f. "it" team

Answers

Answer:

B: jack en poy

Explanation:

Rock paper scissors is a hand game played between 2 people and mostly used as a method of fairly choosing between two people just like the way flipping a coin, drawing straws, or even throwing dice is used to select a choice at times to settle a dispute or make an unbiased decision.

Now the Chinese garter is a popular game among Filipino children that requires flexibility, balance & coordination. This game is played in such a way that it is designed to revolve about an ordinary garter which is usually about two to three yards long and can be brought from sewing store.

Now, to select the first one to play, as stated above, a rock paper scissors game can be used to make an unbiased choice of who to start.

However, among Philipinos, this rock paper scissors game is called "jack en poy"

Thus, option B is correct

write an reflection on a design of the device to maximize heat energy transfer and apply information you have learned in this process

Answers

In designing a device to maximize heat energy transfer, it is important to consider the materials and design elements that can facilitate efficient heat transfer.

Some key considerations include using materials with high thermal conductivity, maximizing surface area for contact between materials, and minimizing barriers to heat transfer such as insulating layers.

For example, a heat sink in a computer might use copper or aluminum, which are both materials with high thermal conductivity, to draw heat away from the CPU. The design of the fins on the heat sink can also increase the surface area available for heat transfer while reducing the thickness of any insulating layers can help to minimize barriers to heat flow.

Overall, designing for efficient heat energy transfer requires careful consideration of both materials and design elements and a deep understanding of the principles of thermal conductivity and heat transfer.

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Solve and answer the two questions at the bottom
An ion has a charge of 6.4 x 10 ^-17 C. 8.2 x 10 ^-4 meters away is a second charge with a charge of 9.6 x 10 ^-16C.
a.What is the strength of the electrostatic force between the ions?

b.Is the force attractive or repulsive?

Answers

Considering the definition of electrostatic:

a. The strength of the electrostatic force between the ions is 8.224×10⁻¹⁶ N.

b. the force is repulsive.

Electrostatic forces result from the interaction of electric charges with an electromagnetic force. That is, the electromagnetic force is the interaction that occurs between bodies that have an electric charge.

Coulomb's law states the value of an electrostatic force. This force depends on the opposing charges and the distance between them.

So, Coulomb's law states that the force is inversely proportional to the square of the separation between the two particles and is proportional to the product of the charges on the particles:

\(F=k\frac{q1q2}{d^{2} }\)

where q1 and q2 are the charges of the particles, d their separation and k is a constant known as Coulomb's constant or vacuum electrical constant.

In this case, you know:

k= 9×10⁹ \(\frac{Nm^{2} }{C^{2} }\)q1= 6.4×10⁻¹⁷ Cq2= 9.6×10⁻¹⁶ Cd= 8.2×10⁻⁴ m

Replacing:

\(F=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{6.4x10^{-17} Cx9.6x10^{-16}C }{(8.2x10^{-4} m)^{2} }\)

Solving:

\(F=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{6.144x10^{-32} C^{2} }{(8.2x10^{-4} m)^{2} }\)

\(F=9x10^{9} \frac{Nm^{2} }{C^{2} }\frac{6.144x10^{-32} C^{2} }{6.724x10^{-7} m^{2} }\)

\(F=9x10^{9} \frac{Nm^{2} }{C^{2} }9.137x10^{-26} \frac{C^{2} }{m^{2} }\)

F= 8.224×10⁻¹⁶ N

a. The strength of the electrostatic force between the ions is 8.224×10⁻¹⁶ N.

Electrostatic forces can be:

of attraction: when the charges are different, and they attract each other. of repulsion: when the charges are equal and repel each other.

b. In this case, since the sign of the charges is the same, the force is repulsive.

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Scientific law provides descriptions.


True

False

Answers

Answer:

True

Explanation:

I am right

If 2 kilograms of water is to be heated from 24.0°C to 100.0°C to make a cup of tea, how much heat must be added? (Water's specific heat is 4186 J/kg°C)A. 640 JB. 64 JC. 640,000 JD.64,000 J

Answers

Answer:

The amount of heat needed to heat  2 kilograms of water from 24.0°C to 100.0°C to make a cup of tea is (C) 640,000 J.

Explanation:

How to calculate the amount of heat needed?

The amount of heat needed can be calculated from the equation

        Q = m s Δ t

        where Q = the amount of heat needed

        m = mass of the substance being heated

        s = specific heat of the substance being heated

        and Δ t = the difference between the final and initial temperatures.

It is given that 2 kilograms of water are to be heated from 24.0°C to 100.0°C to make a cup of tea and the specific heat of water is 4186 J/kg°C.

Therefore,

m = 2 kgs = 4186 J/kg°CΔ t = ( 100 - 24 )°C = 76 °C

Putting these values in the equation Q = m s Δ t we find,

Q = 2 x 4186 x 76 J

    = 636272 J

    ≈ 640,000 J.

Thus the amount of heat needed to heat  2 kilograms of water from 24.0°C to 100.0°C to make a cup of tea is (C) 640,000 J.

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define specific heat capacity

Answers

the heat required to raise the temperature of the unit mass of a given substance by a given amount (usually one degree).

Elliot is going to start strength training at home. He does not have any weights and is
brand new to strength training but is young and healthy. What would be a good
household object to use to for strength training? (1 point)
O a can of soup
O a box of tissues
O a gallon of water
O a paperback book

Answers

Answer:

A gallon of water would be a good household object to use for strength training.

Explanation:

Gallon jugs of water typically weigh around 8.3 lbs, which can provide a good amount of resistance for strength training exercises such as bicep curls, shoulder presses, and tricep dips. Additionally, the handle on the jug of water makes it easy to grip and use for various exercises. Cans of soup and boxes of tissues are generally too light to provide enough resistance for strength training, and a paperback book may not be sturdy enough to use for certain exercises.

eventually sarah reaches the end trafic and is able to drive the speed limit again will this change her velocity

Answers

Answer:

yes

Explanation:

This will change cause of the increase in her speed.

Please I need help with this question (see image).
Show workings if necessary​

Please I need help with this question (see image).Show workings if necessary

Answers

Question :

When an athlete perspires after running

Evaporation occurs and helps to cool the body.Convection cools the body.The body absorbs cold from the surrounding air.Heat is conducted away from the body.

Answer :

When an athlete perspires after running evaporation occurs and helps to cool the body.

Correct option is A.

Explanation :

When an athlete perspires after running then sweat evaporates and we know that evaporation causes cooling as evaporation requires heat energy. The required heat energy is taken away by the molecules of sweat when they convert from liquid into gas, and this causes cooling on the surface of body. That's why it helps to cool the body.

you push a 12-kg box up a ramp using a constant horizontal 100 n force. for each distance of 5.00 m along the ramp, the box gain 3.00 m of height. assuming you push the box up from stationary and the surface of the ramp is frictionless, what is the acceleration of the box?

Answers

The acceleration of the 12-kg box which push up a ramp is 4.96 m/s²

To solve this problem, we need to use the formula for the acceleration of an object on an inclined plane:

a = g(sin θ - μcos θ), where g is the acceleration due to gravity (9.81 m/s²), θ is the angle of the ramp, and μ is the coefficient of friction (which is 0 in this case since the surface is frictionless).

First, we need to find the angle of the ramp. We can use the fact that for each 5.00 m along the ramp, the box gains 3.00 m of height.

This means that the slope of the ramp is given by:

slope = rise/run = 3.00 m / 5.00 m = 0.6 To find the angle of the ramp, we can use the inverse tangent function:

θ = tan⁻¹(slope) = tan⁻¹(0.6) = 31.0°

Now we can plug in the values into the formula for acceleration:

a = g(sin θ - μcos θ) a = 9.81 m/s²(sin 31.0° - 0cos 31.0°) a = 4.96 m/s²

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True or False
1. Scientists have complete knowledge of atoms and this knowledge can never change?

Answers

The answer is False
This answer is going to be false.

by which element are gamma rays produced

Answers

Answer: Some elements like potassium, uranium, and thorium are naturally radioactive and give off gamma rays as they decay, but all elements can be excited by collisions with cosmic rays to produce gamma rays. The HEND and Neutron Spectrometers on GRS directly detect scattered neutrons, and the Gamma Sensor detects the gamma rays.

Explanation: searching

I want you to.......
Explain the Michelson-Morley experiment.

And please explain the equations.

Please ☺️❤️​

Answers

Answer:

Michelson reasoned that, if the speed of light were constant with respect to the proposed ether through which Earth was moving, that motion could be detected by comparing the speed of light in the direction of Earth's motion and the speed of light at right angles to Earth's motion.

I want you to.......Explain the Michelson-Morley experiment.And please explain the equations.Please

If your body is wet what is the lowest electrical voltage can be fatal?

Answers

Answer:

The lowest electrical voltage would be 100 volts.

Answer:

15 volts would be fatal

If the earth were of uniform density, what would be the value of g inside the earth at half its radius

Answers

The value of g inside the Earth at half its radius is half of the value of g at the Earth's surface, which is approximately 9.8 m/\(s^{2}\).

If the Earth were of uniform density, we can calculate the value of the acceleration due to gravity (g) inside the Earth at half its radius using the following formula:

g = (4/3) * π * G * ρ * r

Where:

G is the gravitational constant (approximately \(6.67430 * 10^-11 m^3 kg^-1 s^-2)\)

ρ is the density of the Earth

r is the distance from the center of the Earth

Assuming the Earth has a uniform density, the density (ρ) can be calculated by dividing the mass of the Earth (M) by its volume (V):

ρ = M / V

Since we are considering the Earth at half its radius, the distance from the center of the Earth (r) would be equal to half of the Earth's radius (R).

Now, let's calculate the value of g:

First, we need to find the density (ρ):

ρ = M / V

The mass of the Earth (M) and the volume of the Earth (V) can be related using the formula:

M = ρ * V

Substituting ρ * V for M in the density formula:

ρ = (M / V) * V

ρ = M

Since the mass is the same everywhere inside the Earth, the density (ρ) is constant.

Now, let's calculate the value of g at half the radius of the Earth:

g = (4/3) * π * G * ρ * r

Substituting r = R/2:

g = (4/3) * π * G * ρ * (R/2)

Since ρ is constant, we can combine the constant terms:

C = (4/3) * π * G * ρ

g = C * (R/2)

Therefore, the value of g inside the Earth at half its radius is half of the value of g at the Earth's surface, which is approximately 9.8  m/\(s^{2}\).

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if a school bus moves for 1 hour with the speed of 76 km/hr how many dose it cover ?​

Answers

Explanation:

it moves at a speed of 76 km/h hence the distance covered in an hour is 76 km

What is the mass amount of a Proton and a Neutron?

Answers

The masses amount of a proton and neutron are 1.0087 and 1.0073 amu respectively.

What is a Proton?

This is defined as  sub atomic particle which is positively charged and is present in the nucleus while the neutron is also a particle present in the nucleus but has a neutral charge.

Electrons on the other hand are found outside the nucleus and are negatively charged. It is the sub atomic particle which is actively involved in a chemical reaction.

The masses of neutron and proton are 1.0087 and 1.0073 amu respectively and was discovered by scientists thereby making it the most appropriate choice.

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It takes 50 seconds for Tyler to do 450 Joules of work. How much power did Tyler use?​

Answers

Power=work/time
So,
Power =450/50=9watts

Answer:

Power = 450 Joules / 50 seconds = 9 J/s = 9 W *average* power

Explanation:

Power = Energy / Time ( or Work / Time) just as Velocity = Distance / Time

So, the average power needed for 50 seconds to do 450 Joules of work is simply 450 J / 50 s = 9 J/s = 9 Watts  (The unit Watt is defined so that 1 Watt = 1 Joule / Second).  It's important to note that 9W is the *average* power. The problem does not say that Tyler does work at a constant rate, so it's worth adding that caveat to the answer!

an uncharged capacitor is connected to the terminals of a 4.0 v battery, and 12 μc flows to the positive plate. the 4.0 v battery is then disconnected and replaced with a 8.0 v battery, with the positive and negative terminals connected in the same manner as before.

Answers

The additional charge that flows to the positive plate from the 8 Volts battery is  12 x 10⁻³ Coulomb's.

We have an uncharged capacitor which is charged in two different ways using battery of two different voltages. Firstly, it is connected to the terminals of a 4.0 V battery, and 12 μc of charge flows to the positive plate. Then, the 4.0 V battery is disconnected and replaced with a 8.0 V battery

We have to determine the Additional charge that flows to the Positive plate from this 8 V battery.

What is Capacitance ?

Capacitance is the ability of an object to collect and store energy in the form of an electrical charge. Mathematically -

C = Q/V

According to the question, we have -

Electric potential of battery 1 = V[1] = 4 V

Charge flow from battery 1 to the positive plate = Q[1] = 12 x 10⁻³ C

Electric potential of battery 2 = V[2] = 8 V

Now, using the following relation, we will find Q[2] {Charge flow from battery 2 to the positive plate} →

V[1] / V[2] = Q[1] / Q[2]

Substituting the values -

Q[2] = (12 x 10⁻³ x 8)/4 = 24 x 10⁻³ C

Additional Charge that flowed to the positive plate →

Q[2] - Q[1] = 12 x 10⁻³ Coulomb's

Hence, the additional charge that flows to the positive plate is  \(12\times 10^{-3}\) Coulomb's.

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[ The question given is incomplete, the complete question is -

"An uncharged capacitor is connected to the terminals of a 4.0 v battery,  and 12 μc flows to the positive plate. the 4.0 v battery is then disconnected and replaced with a 8.0 v battery, with the positive and negative terminals connected in the same manner as before. How much additional charge flows to the positive plate" ]

A sphere of radius R has charge Q. The electric field strength at distance r>R is Ei. Each Part in this question changes only one quantity; the other quantities have their initial values.
A) What is the ratio Ef/Ei of the final to initial electric field strengths if Q is halved?
B) What is the ratio Ef/Ei of the final to initial electric field strengths if R is halved?
C) What is the ratio Ef/Ei of the final to initial electric field strengths if r is halved (but is still >R)?

Answers

The ratio Ef/Ei of the final to initial electric field strengths, if Q is halved, is 1/2. B) The ratio Ef/Ei of the final to initial electric field strengths, if R is halved, is 4. C) The ratio Ef/Ei of the final to initial electric field strengths if r is halved (but is still >R) is 2. The correct option is A).

Given that Sphere of radius R has charge Q. The electric field strength at a distance r > R is Ei. Therefore, the electric field intensity at a distance from the center of a charged sphere of radius R is:

Ei = kQ/R² ... (1)

Now,

A) When Q is halved, the electric field intensity

\(Ef isEf = kQ/2R² ... (2)\)

Therefore, the ratio of the electric field intensity at r > R after Q is halved and before halving is:

\(++Ef/Ei = (kQ/2R²)/(kQ/R²) = 1/2B)\)

When R is halved, the electric field intensity

\(Ef isEf = kQ/(R/2)² = 4kQ/R² ... (3)\)

Therefore, the ratio of the electric field intensity at r > R after R is halved and before halving is:

\(Ef/Ei = (4kQ/R²)/kQ/R² = 4C)\)

When r is halved (but still >R), the electric field intensity Ef is

\(r = R/2...\)

Therefore, the ratio of the electric field intensity at r > R after r is halved and before halving is:

\(Ef/Ei = kQ/(R/2)² / kQ/R² = 2.\)

Hence, the required ratios are A) 1/2 B) 4 C) 2. Therefore, the correct option is A).

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nuclear energy is a clean energy source with virtually no greenhouse gas emissions.

Answers

Nuclear energy is often considered a clean energy source because it does not produce greenhouse gas emissions like carbon dioxide (CO2) during the generation of electricity.

What do you mean by Nuclear Energy?

Nuclear energy is the energy released by atomic nuclei as a result of nuclear reactions, either through natural processes like nuclear decay, or by the controlled release of energy through nuclear reactions, typically through nuclear fission or nuclear fusion. This energy is used to generate electricity in nuclear power plants, and also has other applications in military and medical fields.

Nuclear energy is often considered a clean energy source because it does not produce greenhouse gas emissions like carbon dioxide (CO2) during the generation of electricity. However, the production of nuclear fuel, including uranium mining and milling, can have significant environmental impacts. The disposal of nuclear waste also poses a challenge, as it remains radioactive for thousands of years and must be securely contained to protect the environment and public health. Additionally, the risk of nuclear accidents, although low, can have severe consequences for both the environment and human health. In summary, while nuclear energy is considered clean in terms of its operation, there are still significant environmental and safety concerns associated with its production and waste management.

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Protons have a _____ charge and are held together by ______.

Answers

By definition, protons are charged particle with positive charge. Protons are held toguether at the atomic nuclues do the strong nuclear force.

Then, you have:

Protons have a positive charge and are held toguether by the strong nuclear force.

Longitudinal seismic waves are known as
a primary waves.
b. secondary waves.
surface waves.
d. transverse waves.
Please select the best answer from the choices provided
О А
ОВ
ОС
D

Answers

Its “A“ primary waves!!!!!!

Answer:

A. primary waves

Explanation:

What is the difference between a motor and a generator in terms of the interaction of forces found in each device

Answers

Answer:

Motor is an electric device that converts electrical energy into mechanical energy. The generator is vice versa of that motor.

Explanation:

A 2.0 x 10^3-kilogram car travels at a constant speed of 12 meters per second around a circular curve of radius 30. meters. What is the magnitude of the centripetal acceleration of the car as it goes around the curve?

Answers

The magnitude of the centripetal acceleration of the car as it goes round the curve is 4.8 m/s²

Circular motion

From the question, we are to determine the magnitude of the centripetal acceleration.

Centripetal acceleration can be calculated by using the formula

\(a_{c} =\frac{v^{2} }{r} \)

Where \(a_{c} \) is the centripetal acceleration

\(v\) is the velocity

and \(r\) is the radius

From the given information

\(v = 12 \ m/s\)

and \(r = 30 \ m\)

Therefore,

\(a_{c} =\frac{12^{2} }{30} \)

\(a_{c} =\frac{144 }{30} \)

\(a_{c} = 4.8\ m/s^{2} \)

Hence, the magnitude of the centripetal acceleration of the car as it goes round the curve is 4.8 m/s²

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A pendulum is formed by connecting a thin rod to the edge of a thin disk. The rod has a mass of 0.500 kg and is 1.00 m in length. The disk has a mass of 0.400 kg and has a 0.100 m radius. The pendulum is set to pivot about the free end of the rod. Determine:

Answers

To determine the period of the pendulum, we can use the formula for the period of a simple pendulum, which is T = 2π√(L/g), where T is the period, L is the length of the pendulum, and g is the acceleration due to gravity.

Given that the length of the rod is 1.00 m, we can plug this value into the formula:

T = 2π√(1.00/g).

Now, we need to calculate the effective length of the pendulum, which takes into account the mass distribution of the disk and rod. The effective length, Leff, can be calculated using the formula:

Leff = L + (1/2) * r^2 * (m_disk/m_rod),

where r is the radius of the disk, m_disk is the mass of the disk, and m_rod is the mass of the rod.

Plugging in the given values, we get Leff = 1.00 + (1/2) * 0.1^2 * (0.4/0.5) = 1.00 + 0.01 * 0.8 = 1.008 m.

Now, we can substitute the effective length into the period formula: T = 2π√(1.008/g).

Since the question does not provide the value of g, we can use the approximate value of 9.8 m/s^2 for the acceleration due to gravity.

Plugging in the values, we get T = 2π√(1.008/9.8) = 2π√(0.10285714) ≈ 2π * 0.320234 ≈ 2.01 seconds.

Therefore, the period of the pendulum is approximately 2.01 seconds.

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(a) wow, you make it to the top of mt everest (30,000 ft)! on the basis of temperature, how would the affinity of hb for o2 change? in which direction would the normal curve shift (left or right)?

Answers

At high altitudes like Mount Everest, the cold temperature causes a rightward shift in the oxygen-hemoglobin dissociation curve, resulting in decreased affinity of hemoglobin for oxygen and increased release of oxygen to the body tissues.

Oxygen-hemoglobin dissociation

At the top of Mt. Everest, the temperature is significantly colder than at sea level. The colder temperature would cause a shift in the oxygen-hemoglobin dissociation curve to the right, which means that the affinity of hemoglobin for oxygen decreases.

This is because as the temperature decreases, the hemoglobin molecule undergoes a conformational change that results in a weaker binding of oxygen to the heme groups.

The shift to the right means that hemoglobin will release more oxygen for a given partial pressure of oxygen, which is beneficial at high altitudes where there is less atmospheric pressure and lower partial pressure of oxygen.

Therefore, the shift to the right helps to ensure that the oxygen delivery to the body tissues remains adequate, despite the reduced availability of oxygen in the atmosphere.

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A horizontal rope is attached from a truck to a 1475-kg car. As the truck tows the car on a horizontal straight road, the rope will break if the tension is greater than 2551 N. Ignoring friction, what is the maximum possible acceleration of the truck if the rope does not break?

Answers

Given data

*The given mass of the car is m = 1475 kg

*The maximum tension is T = 2551 N

The formula for the maximum possible acceleration of the truck is given by Newton's second law as

\(\begin{gathered} T=ma_{\max } \\ a_{\max }=\frac{T}{m} \end{gathered}\)

Substitute the known values in the above expression as

\(\begin{gathered} a_{\max }=\frac{2551}{1475} \\ =1.72m/s^2 \end{gathered}\)

Hence, the maximum possible acceleration of the truck is a_max = 1.72 m/s^2

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