how do you Compute the approximate acceleration of gravity for an object above the earth's surface, assigning accel gravity with the result. The expression for the acceleration of gravity is: (G * M) / (d 2), where G is the gravitational constant 6.673 x 10-11, M is the mass of the earth 5.98 x 1024 (in kg), and d is the distance in meters from the Earth's center (stored in variable dist center).

Answer:

C wind power to provide energy for homes and businesses.

To find the magnitude of the magnetic field at a distance of R/2 from a wire with radius R carrying a current I and uniform current density, we can use Ampere's law. Option b) µ₀I / (πR) is the correct answer.

Ampere's law states that the line integral of the magnetic field around a closed path is equal to the product of the current enclosed by the path and the permeability of free space (µ₀).

In this case, we can consider a circular path of radius R/2 centered on the wire. The current enclosed by this path is the current passing through the wire.

The current passing through the wire is given by:

I_enclosed = current density × area

The current density is uniform, so we can express it as:

I_enclosed = J × (π(R/2)²)

To simplify, we have:

I_enclosed = J × (πR²/4)

Applying Ampere's law:

∮ B · dl = µ₀I_enclosed

The left-hand side of the equation represents the line integral of the magnetic field B around the circular path, and dl represents a small element of the path.

Since the magnetic field B is constant along the circular path and parallel to dl, the left-hand side simplifies to:

B ∮ dl = B × 2π(R/2)

Simplifying further:

B × 2π(R/2) = µ₀I_enclosed

Substituting the expression for I_enclosed, we get:

B × 2π(R/2) = µ₀J × (πR²/4)

Canceling common terms and rearranging, we find:

B = (µ₀J × πR²) / (2π(R/2))

Simplifying:

B = (µ₀J × R²) / R

Since J = I / (πR²), we substitute it into the equation:

B = (µ₀ × I / (πR²) × R²) / R

Simplifying:

B = (µ₀I) / (πR)

Therefore, the magnitude of the magnetic field at a distance of R/2 from the wire is µ₀I / (πR). Option b) µ₀I / (πR) is the correct answer.

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The cost of running the lamps is 13.6 naira.

Step 1: Calculate the total wattage used by the lamps.The total wattage used by the lamps can be calculated as follows:

5 lamps × 8 watts/lamp + 3 lamps × 100 watts/lamp= 40 watts + 300 watts= 340 watts

Therefore, the total wattage used by the lamps is 340 watts.

Step 2: Convert the wattage used to kilowatts. We can convert watts to kilowatts by dividing the wattage by 1000.

Therefore, the wattage used by the lamps in kilowatts can be calculated as follows: 340 watts ÷ 1000= 0.34 kW

Therefore, the wattage used by the lamps in kilowatts is 0.34 kW.

Step 3: Calculate the energy consumed. The energy consumed can be calculated by multiplying the wattage by the time.

Therefore, the energy consumed by the lamps can be calculated as follows: \(0.34 kW × 8 hours= 2.72\)kWh

Therefore, the energy consumed by the lamps is 2.72 kWh.

Step 4: Calculate the cost of running the lamps. The cost of running the lamps can be calculated by multiplying the energy consumed by the cost of energy per unit.

Therefore, the cost of running the lamps can be calculated as follows:\(2.72 kWh × 5 naira/kWh= 13.6\) naira

Therefore, the cost of running the lamps is 13.6 naira.

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Answer:

relay switch

Explanation:

relay switch is the answer

Wavelength affects a wave's energy; the longer its wavelengths, the lesser the energy. Gamma rays therefore have the maximum energy and long radio waves the lowest in the electromagnetic spectrum.

The slowest seismic waves are surface waves. They move at a speed of 1.5 miles per second, or 2.5 km. Surface waves come in two different varieties. Love waves slither from side to side like a snake.

Low-energy photons make up radio waves; microwave photons contain a little more energy as radio waves; infrared photons have much more energy; and the most energetic photons of them are gamma rays.

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Answer:

the answer is b. 37.3 min..

Answer:

Difference Between Heat and Temperature

heat vs temperature The concept of heat and temperature are studied together in science, which is somewhat related but not alike. The terms are very common, due to their wide usage in our day to day life. There exist a fine line which demarcates heat from temperature, in the sense that heat is thought of, as a form of energy, but the temperature is a measure of energy.

The differences between heat and temperature can be summarised in points as follows:

1.Heat is the form of energy that flows from the system to its surrounding.

2. Mass of the body affects the total heat.

3. Heat is measured in joules or calories.

4.2Joules =1 calorie

4. Heat is measured by using a calorimeter.

Hope it helps...

Good luck on your assignment...

Answer:

a:s

b:s

c:r

d: r

e: s

f:  s

g: s

Explanation:

Answer:

icebergs float on water because ice is less dense than water. The same is true for a boat: a boat floats on water because, overall, it is less dense than the water.

Explanation:

Answer:

When two waves meet in such a way that their crests line up together, then it's called constructive interference. The resulting wave has a higher amplitude. In destructive interference, the crest of one wave meets the trough of another, and the result is a lower total amplitude.

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So, Speed of light in Rock salt is 1/1.54 times speed of light in vacuum. Therefor Speed of light in Rock salt is less [1.94 x 10⁸m/s ] compared to speed of light in vacuum =C = 3 x 10⁸ m/s.

Answer:

Tech B

Explanation:

The control of electric actuators may be through through a two-wire or a five-wire circuit through the driver circuit by bidirectionally controlling via the motor wire polarity. The door position is determined by counting the actuator commutator pulses by the control module in the actuator with 2-wire, while the actuator with 5-wire uses potentiometer feedback.

The A/C ECU is the Air Condition Engine Control Unit.

Wave speed = 40 m/s

Explanation:

Wave speed = frequency x wavelength

Wave speed = 1000 * 0.04

Wave speed = 40 m/s

The force of repulsion between two charged particles will remain the same

We know that from Columb's law force between two charged particles will be given by

\(F=k \dfrac{q_1q_2}{r^2}\)

Now from the condition

if the charge on one of the particles is doubled and that on the other is reduced to half the original value

\(q_1'=2q_1\)

and

\(q_2'=\dfrac{q_2}{2}\)

Use the above values in the formula

\(F'=k\dfrac{q_1'q_2'}{r^2}\)

\(F'=k\dfrac{2q_1 \dfrac{q_2}{2} }{r^2}\)

\(F'=k\dfrac{q_1q_2}{r^2}\)

So \(F=F'\)

Thus the force of repulsion between two charged particles will remain the same

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(b) Always act on the different bodies in opposite directions

Answer:

b) Always act on the different bodies in opposite directions

Explanation:

b) Always act on the different bodies in opposite directions

For example:

If I am sitting on a sofa and I exert 370N and the sofa will exert -370N force. If the sofa doesn't exert force back, I won't be able to sit which means it will break.

Hope it helps ;) ❤❤❤

Answer: See answers below.

Explanation: In this problem, we must be clear about the concept of weight. Weight is defined as the product of mass by gravitational acceleration.

We must be clear that the mass is always preserved, that is, the mass of 15 [kg] will always be the same regardless of the planet where they are.

where:

W = weight [N] (units of Newtons)

m = mass = 15 [kg]

g = gravity acceleration [m/s²]

Since we have 9 places with different gravitational acceleration, then we calculate the weight in each of these nine places.

Mercury

Venus

Moon

Mars

Jupiter

Saturn

Uranus

Neptune

Pluto

In this problem, we must be clear about the concept of weight. Weight is defined as the product of mass by gravitational acceleration.

We must be clear that the mass is always preserved, that is, the mass of 15 [kg] will always be the same regardless of the planet where they are.

where:

W = weight [N] (units of Newtons)

m = mass = 15 [kg]

g = gravity acceleration [m/s²]

Since we have 9 places with different gravitational acceleration, then we calculate the weight in each of these nine places.

Mercury

Venus

Moon

Mars

Jupiter

Saturn

Uranus

Neptune

Pluto

We know that

• The initial speed is zero (it starts from rest).

• The final speed is 55 mi/h.

• The time elapsed is 11 seconds.

To find the distance traveled, let's use the following formula.

But first, we have to transform 55 mi/h into m/s. We know that 1 mile is equivalent to 1609.34 meters, and 1 hour is equivalent to 3600 seconds.

Then, we find the acceleration because we need it to find the distance traveled.

Now we are able to find the distance traveled.

Answer:

3 A

Explanation:

\(current = \frac{charge}{time} \\ = \frac{12}{4} \\ = 3 \: amperes\)

Answer:

It is already balanced

Explanation:

It is already balanced

Answer:

7 meters, 2.8 meters

Explanation:

work done (nm) = force (n) * distance (m)

140= 20 * m

140/20 = m

m=7 meters

140= 50 * m

140/50 = m

m= 2.8 meters

Unintentional injuries caused by accidents are the number one killer of children and teenagers.

What causes the majority of adolescent deaths?

A little over half of all adolescent fatalities are caused by accidents. Over one-third of all fatal accidents fall under the category of motor vehicle fatalities, which is the top cause of death for teens. Non-Hispanic black male teens have the highest death rate.

The top causes of mortality for children under 5 years old continue to be congenital anomalies, pre-term birth complications, birth asphyxia, and other infectious diseases like pneumonia, diarrhea, and malaria. According to a recent study, homicide is the top cause of death for children in the United States, and the total rate has grown by 4.3% annually on average.

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When standing on a skateboard on a horizontal surface and trying to jump forward, the distance you are capable of jumping will be affected by the principles of conservation of momentum and Newton's third law of motion.

On the ground, when you push against the ground with your feet to jump, an equal and opposite force is exerted by the ground, propelling you forward. This force generates an impulse, which changes your momentum and allows you to jump forward.

Now, when you are standing on a skateboard on a horizontal surface and try to jump forward, a similar principle applies. As you push against the skateboard with your feet, the skateboard exerts an equal and opposite force on you according to Newton's third law. This force generates an impulse that not only changes your momentum but also the momentum of the skateboard.

The crucial difference is that when the skateboard exerts an equal and opposite force on you, it also experiences an equal and opposite force in the opposite direction. Due to conservation of momentum, the momentum gained by the skateboard in the opposite direction will be equal to the momentum gained by you. As a result, you will move forward less compared to if you were not on the skateboard.

Mathematically, we can represent this by considering the initial and final momentum:

Initial momentum of you + Initial momentum of the skateboard = Final momentum of you + Final momentum of the skateboard.

Assuming your initial momentum is zero (stationary), the equation becomes:

0 + Initial momentum of the skateboard = Final momentum of you + Final momentum of the skateboard.

Since the momentum gained by the skateboard is equal in magnitude but opposite in direction to the momentum gained by you, we can rewrite the equation as:

Final momentum of you = - Final momentum of the skateboard.

Thus, the final momentum of you, and consequently the distance you can jump forward, will be reduced compared to when you are not on the skateboard.

In summary, when standing on a skateboard and trying to jump forward, the distance you can jump will be less compared to if you were on the ground due to the conservation of momentum and the equal and opposite reaction between you and the skateboard. The skateboard gains momentum in the opposite direction, resulting in a decrease in your forward momentum and the distance you can cover.

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Answer:

In giant molecular clouds

Explanation:

To find the stars that are just being born, one of the best places to search is giant molecular clouds.

An astronomical object known as a star is made up of a luminous plasma spheroid that is held together by gravity. The Sun is the star that is nearest to Earth. Other stars are also visible at night with the eye, but because of their great distances from Earth, they appear as stationary points of light.

Many of the brightest stars have names, and the most notable stars have been organized into constellations and asterisms. Star catalogs have been put out by astronomers that list the known stars and provide standardized stellar labels. An estimated 10²²–10²⁴ stars are alive in the observable cosmos.

These stars are all situated within the Milky Way galaxy, with only 4,000 of them being visible with the unaided eye.

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The formula for the covalent compound dichlorine Heptoxite is CL2O6.

Name the first element first then name the second element using the element name stem and the ide suffix. If there are multiple atoms of the first element use the numeric prefix. Always use a numeric prefix for the atomic number of the second element. Dichloroheptoxide is a compound of a clear oily liquid. It is a strong oxidizing agent.

The hardness of a diamond can be read from its crystal structure. Each carbon atom is bound to four other carbon atoms by covalent bonds in a regular tetrahedral structure. Each of these bonded carbon atoms is then further bonded to three other carbon atoms. In the semiconductor industry, chlorine trifluoride is used to clean chemical vapor deposition chambers. Advantageously the semiconductor material can be removed from the chamber walls without the need to dismantle the chamber.

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To make the red light appear green, you would need to be traveling at a speed of approximately 2.727×10⁸ m/s.

The color of light is determined by its wavelength. Red light has a longer wavelength than green light, with the given values of 650 nm and 550 nm, respectively.

The frequency of light is inversely proportional to its wavelength, so we can use the formula:

frequency = speed of light / wavelength

Given that the speed of light is 3×10⁸ m/s, we can calculate the frequencies of red and green light:

Frequency of red light = (3×10⁸ m/s) / (650×10⁻⁹ m) = 4.615×10¹⁴ s⁻¹

Frequency of green light = (3×10⁸ m/s) / (550×10⁻⁹ m) = 5.455×10¹⁴ s⁻¹

To perceive the red light as green, we need to match the frequencies. Since the speed of light remains constant, we can equate the two frequencies:

(3×10⁸ m/s) / (λ_red) = (3×10⁸ m/s) / (λ_green)

Simplifying the equation, we find:

λ_red = λ_green

From this, we can determine the speed required to make the red light appear green:

v = (λ_red - λ_green) / λ_green = (650×10⁻⁹ m - 550×10⁻⁹ m) / 550×10⁻⁹ m = 100×10⁻⁹ m / 550×10⁻⁹ m

v ≈ 2.727×10⁸ m/s

Therefore, in order for the red light to appear green, you would need to be moving at a velocity of approximately 2.727×10⁸ m/s.

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Answer:

Given that the train which is heading north on the tracks takes 6 seconds to reach 60 miles per hour and completes the entire 60 mile trip in one hour, we can calculate the train's average speed and velocity over the one hour trip. Now right off the bat we know that the measurement we calculate for the train's average SPEED will be a scalar quantity as we are dealing with speed. On the other hand the measurement we calculate for the train's velocity will be a vector quantity as we are dealing with velocity and the quantity has both a magnitude and a direction. Now: we now that the train completed the entire 60 mile trip in one hour which means it is going 60 mph north, which is the velocity This velocity has both a magnitude (60 mph) and a direction (north). For the train's average speed we look at distance divided by time. The speed of the train is 60 miles per hour. The difference between speed and velocity is that speed is how fast an object is going with respect to a frame of reference versus velocity is a measure of the speed and direction of an object.

Yes, the work and power requirements are different for the two lifts of a crane that lifts a weight to a height of 20 m in 20 s one time and at another time in 10 s.

Work is the amount of force required to move an object over a distance, while power is the rate at which work is done. When an object is lifted to a height of 20m, a certain amount of work is done, and the work required is given by the formula W = mgh, where W is work, m is mass, g is acceleration due to gravity, and h is height.

A crane lifts an object with weight (mass) m to a height of 20 m in 20 s.

Here, work done (W1) is given by,W1 = mgh = mg × 20 Joules --- equation (1)

Also, power (P1) is given by,P1 = W1/t1 = (mgh)/t1 Watts --- equation (2)

where t1 is the time required to lift the object to a height of 20m in 20 seconds.

Similarly, a crane lifts an object with weight (mass) m to a height of 20 m in 10 s.

Here, work done (W2) is given by,W2 = mgh = mg × 20 Joules --- equation (3)

Also, power (P2) is given by,P2 = W2/t2 = (mgh)/t2 Watts --- equation (4)

where t2 is the time required to lift the object to a height of 20m in 10 seconds.

On comparing the equations (2) and (4), we can see that power P2 is greater than power P1.

This indicates that the power requirement is different for the two lifts of the crane even though the work done is the same in both cases.

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Starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², the car will travel a distance of approximately 0.2119 meters or 21.19 centimeters in 0.75 seconds.

To determine the distance traveled and the time elapsed by the car starting from rest on a circular track with a radius of 300 m and a constant tangential acceleration of 0.75 m/s², we can use the equations of circular motion.

The tangential acceleration is the rate of change of tangential velocity. Since the car starts from rest, its initial tangential velocity is zero (v₀ = 0).

Using the equation:

v = v₀ + at

where v is the final tangential velocity, v₀ is the initial tangential velocity, a is the tangential acceleration, and t is the time, we can solve for v:

v = 0 + (0.75 m/s²) * t

v = 0.75t m/s

The tangential velocity is related to the angular velocity (ω) and the radius (r) of the circular track:

v = ωr

Substituting the values:

0.75t = ω * 300

Since the car starts from rest, the initial angular velocity (ω₀) is zero. So, we have:

ω = ω₀ + αt

ω = 0 + (0.75 m/s²) * t

ω = 0.75t rad/s

We can now substitute the value of ω into the equation:

0.75t = (0.75t) * 300

Simplifying the equation gives:

0.75t = 225t

t = 0.75 seconds

The time elapsed is 0.75 seconds.

To calculate the distance traveled (s), we can use the equation:

s = v₀t + (1/2)at²

Since the initial velocity (v₀) is zero, the equation becomes:

s = (1/2)at²

s = (1/2)(0.75 m/s²)(0.75 s)²

s = (1/2)(0.75 m/s²)(0.5625 s²)

s = 0.2119 meters or approximately 21.19 centimeters

Therefore, the car travels a distance of approximately 0.2119 meters or 21.19 centimeters.

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