The engine of the car develops a driving force of 4000N. Air resistance also acts on the car, with a force of R. If the car has a mass of 1000kg, and is accelerating at 1.5m/s^2, calculate the magnitude of R.

No, the anion of the element is more stable than the neutral atom but an electron in an atom or ion is lower in energy than a free electron.

We know that,

Kinetic energy is defined as the energy of the object that occurs due to the motion of the object. The total work needed by the body to starts accelerating it by the help of given mass which is supplied from the rest position and its mentioned velocity.

The energy body gets due to the process of acceleration by this the body will able to main the kinetic energy of the body without changing the speed of the body.

The energy which has been stored in the body or any object by the help of the particular position or the proper arrangement of the parts is known as potential energy.

There will be no effect of the outside environment on the potential energy that present inside the body.

The kinetic energy decrease or increase with change into the velocity.

Therefore, No, the anion of the element is more stable than the neutral atom but an electron in an atom or ion is lower in energy than a free electron.

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Answer:

True

Explanation:

Generally speaking, we say that light travels in waves, and all electromagnetic radiation travels at the same speed which is about 3.0 * 108 meters per second through a vacuum.

Answer:

absolutely true

Explanation:

as it travels in a speed of 30×108 m per second

Answer:

From 0 -4 seconds the acceleration is positive. (The graph is going upwards.)

From 6-10 seconds the acceleration is negative. (The graph is going downwards.)

Answer:

400 kg-m/s

Explanation:

Given that,

Mass of the woman, m = 50 kg

Initial velocity, u = 8 m/s

Final velocity, v = 0 m/s

We need to find the change in momentum of the woman. It can be given by :

\(\Delta p=m(v-u)\\\\=50\times (8-0)\\\\=400\ kg-m/s\)

So, the change in momentum is 400 kg-m/s.

Answer:

7/20

Explanation:

0.35 as a fraction =35/100

35/100 can b divided by 5 so =7/20

0.350 simplified as a fraction is 7/20

Answer:

7/20

Explanation:

To determine which choice is better, we need to calculate the present value (PV) of the costs associated with each lightbulb.

Let's start with the incandescent bulb. The cost of the bulb is $0.50, and it lasts for three years. Each year, it uses $0.75 of electricity. The discount rate is 12%.

To calculate the present value of the electricity cost for each year, we can use the formula

PV = C / (1 + r)^t,

where C is the cost, r is the discount rate, and t is the number of years. Plugging in the values, we have:

PV = $0.75 / (1 + 0.12)^1 + $0.75 / (1 + 0.12)^2 + $0.75 / (1 + 0.12)^3

Calculating this gives us a present value of $1.89 for the electricity cost.

Next, let's calculate the present value of the LED bulb. The cost of the bulb is $4, and it lasts for eleven years. Each year, it uses $0.20 of electricity.

Using the same formula as before, we can calculate the present value of the electricity cost for each year:

PV = $0.20 / (1 + 0.12)^1 + $0.20 / (1 + 0.12)^2 + ... + $0.20 / (1 + 0.12)^11

Calculating this gives us a present value of $1.18 for the electricity cost.

Now, we can compare the present values of the costs for each lightbulb. The incandescent bulb has a present value of $1.89, while the LED bulb has a present value of $1.18.

Since the present value of the LED bulb is lower, it is the better choice. The LED bulb is more cost-effective in the long run, even though it has a higher upfront cost. It lasts longer and uses less electricity, resulting in lower overall costs.

In conclusion, the LED lightbulb is the better choice based on the calculations of present value. It offers long-term savings due to its longer lifespan and lower electricity usage.

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The Speed of the car is 4m/s.

What is the speed?

The speed of an object can be defined as the total distance traveled by it in a particular interval of time. This can be determined by dividing the total distance moved by the object by the time taken to move.

It is the ratio of distance in m and time taken by the object to travel in seconds.

Hence: Distance D=28m

Time       T=7s

Speed S=D/T                            

S=28m/7S                          

S=4m/S

Therefore car's  speed is 4m/S

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The speed of the car is 4m/s

Speed is the rate of change of distance with time.

It is a scalar quantity and it's S.I unit is given as m/s. Distance is the space or gap between two point. Speed can generally be defined as the distance travelled per a given time

From the definition, speed = distance/time

distance is 28m and time is 4s, therefore

Speed = 28/4= 7m/s.

Therefore the speed of the car is 7m/s

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Using the equation E = hc/λ, the energy of the photon is calculated to be approximately 9.467 x 10^-19 J. Converting this energy to electronvolts gives a value of 5.90 eV. By subtracting the work function (3.68 eV), the maximum kinetic energy of the ejected electrons is found to be approximately 2.22 eV.

To find the maximum kinetic energy of ejected electrons, we can use the equation for the energy of a photon:

E = hc/λ

Where:

E is the energy of the photon,

h = Planck's constant and its value is (6.626 x 10^-34 J·s),

c is the speed of light (3.00 x 10^8 m/s), and

λ = wavelength

λ = 209 nm = 209 x 10^-9 m ( converting wavelength from nm to m)

calculate the energy using the equation:

E = hc/λ

E = (6.626 x 10^-34 J·s * 3.00 x 10^8 m/s) / (209 x 10^-9 m)

E ≈ 9.467 x 10^-19 J

Since 1 electronvolt (eV) is equal to 1.602 x 10^-19 J, we can convert the energy to electronvolts:

E = (9.467 x 10^-19 J) / (1.602 x 10^-19 J/eV)

E ≈ 5.90 eV

We find the maximum kinetic energy

Max kinetic energy = E - work function

Max kinetic energy = 5.90 eV - 3.68 eV

Max kinetic energy ≈ 2.22 eV

Therefore, the maximum kinetic energy of the ejected electrons when electromagnetic waves with a wavelength of 209 nm strike the surface is approximately 2.22 eV.

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Answer:

I think it is A

Explanation:

Answer:

The velocity of the wave is 100 m/s.

Explanation:

Answer:

1298.5watt

Explanation:

Power is defined as the rate at which work is done

Expressed mathematically as;

P = F × d/ t; F = force or weight of object ;d is height or distance sustain and t is time covered

Hence for 1 person the power consumption is ;

Note weight =mass× acceleration of free fall due to gravity,g

g is known as 9.8m/S2

Time taken is 1min which is 60 sec

60 ×9.8 × 5.3/60 = 51.94 watt

Hence for 25 persons we have

25 × 51.94 =1298.5watt

1.3kilo watt( kilo is 1000)

The work done by the escalator is 3,080.4 joules and the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.

The Work Done is calculated as:

Force (F) = 60 × 9.8

Distance (d) = 5.30 meters

Work (W) = F × d

Work (W) = (60 × 9.8) × 5.30

Work (W) = 3,080.4 joules

The Power is calculated as:

Time (t) = 1 minute

Power (P) = Work / Tim (t)

Power (P) = 3,080.4 / 60

Power (P) = 51.34 watts

Therefore, the power requirement of the escalator to move 25 passengers every minute is approximately 51.34 watts.

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When an ice skater pulls her arms and legs in while spinning, several things happen due to the law of conservation of angular momentum.

Angular momentum is the rotational equivalent of linear momentum and is conserved in the absence of any external torques.

Angular velocity increases: As the skater pulls her arms and legs closer to her body, the distribution of her mass becomes more concentrated towards the axis of rotation.

According to the conservation of angular momentum, when the moment of inertia decreases, the angular velocity must increase to maintain the same angular momentum. Therefore, as the skater reduces her moment of inertia by pulling her arms and legs in, her rotational speed or angular velocity increases.

Conservation of angular momentum: The total angular momentum of the skater remains constant. When the skater pulls her arms and legs in, her moment of inertia decreases, but her angular velocity increases in order to keep the total angular momentum the same.

This principle allows the skater to maintain her spin while reducing her moment of inertia.

Increased rotational speed: As the skater's moment of inertia decreases and her angular velocity increases, her rotational speed or spin rate becomes faster. This increase in rotational speed makes the skater spin more rapidly.

Increased rotational stability: By pulling her limbs closer to her body, the skater decreases her moment of inertia, which enhances her rotational stability. With a smaller moment of inertia, the skater becomes more resistant to changes in her rotation, making it easier for her to maintain her spin.

Overall, by pulling her arms and legs in, the ice skater increases her rotational speed and stability while conserving angular momentum. This technique is commonly used by figure skaters and gymnasts to perform faster spins and maintain control during their movements.

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Yes, It is better to have low opacity in the atmosphere when using a giant refracting telescope.

1. Opacity refers to the degree to which the atmosphere obstructs or scatters light. In the context of using a refracting telescope, low opacity is desirable because it allows more light to reach the telescope's optics, resulting in better image quality and increased visibility of celestial objects.

2. A refracting telescope uses lenses to collect and focus light from distant objects. When the atmosphere has low opacity, the lenses can gather a greater amount of light, enhancing the telescope's ability to capture detailed images of stars, planets, and other astronomical phenomena.

3. High opacity in the atmosphere, such as due to pollution, dust, or atmospheric conditions, can significantly degrade the performance of a refracting telescope. It scatters and absorbs light, reducing the amount of light reaching the lenses and causing images to appear faint, blurred, or distorted.

4. Therefore, a giant refracting telescope benefits from a transparent atmosphere with low opacity. Astronomical observatories are often situated in remote locations with minimal light pollution and atmospheric disturbances to maximize the telescope's effectiveness.

5. By minimizing opacity, astronomers can obtain clearer and sharper images, enabling them to study celestial objects with greater precision and detail. This enhances our understanding of the universe and facilitates scientific discoveries in the field of astronomy.

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Answer:

Surface

Explanation:

Rayleigh Waves—surface waves that move in an elliptical motion, producing both a vertical and horizontal component of motion in the direction of wave propagation. Particle motion consists of elliptical motions (generally retrograde elliptical) in the vertical plane and parallel to the direction of propagation.

The states that the electric potential at a given point is proportional to the charge on the disk divided by the distance from the disk to that point.

The electric potential along the central axis of a negatively charged disk decreases as the distance from the disk increases (True).

The electric potential of a charged object is the amount of electric potential energy that a unit of charge would have if it were placed at a certain point in space. The electric potential is a scalar quantity and is measured in volts.

In the case of a negatively charged disk, the electric potential will be negative, and it will be higher closer to the disk and lower as the distance from the disk increases. This is because the electric potential is directly proportional to the charge of the disk and inversely proportional to the distance from the disk.

Along the central axis of the disk, the electric field is perpendicular to the axis and has the same magnitude at all points. Therefore, the electric potential decreases as the distance from the disk increases. This relationship can be described by Coulomb's law.

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Total Cost is =  $107,380 if The farm is 340 acres and had corn planted  add fertilizer to the soil before you plant this years' crop.

A fertiliser is a natural or artificial substance containing chemical elements (such as Nitrogen (N), Phosphorus (P) and Potassium (K)) that improve growth and productiveness of plants. Some synonyms include the terms "enrichment" or "plant nutrient".

Without fertilizers, nature struggles to replenish the nutrients in the soil. When crops are harvested, important nutrients are removed from the soil, because they follow the crop and end up at the dinner table. If the soil is not replenished with nutrients through fertilizing, crop yields will deteriorate over time.

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Answer:

a. 86.80 m

b. i. The mass of the bob

ii. The length of the pendulum

Explanation:

a. Determine the height of the smokestack.

Using T = 2π√(L/g) where T = period of pendulum = 18.7 s, L = length of pendulum = height of smokestack and g = acceleration due to gravity = 9.8 m/s².

So, making L subject of the formula, we have

T = 2π√(L/g)

T/2π = √(L/g)

squaring both sides, we have

(T/2π)² = L/g

L = (T/2π)²g

Substituting the values of the variables into the equation, we have

L = (T/2π)²g

L = (18.7 s/2π)²(9.8 m/s²)

L = (2.976 s)²(9.8 m/s²)

L = 8.857 s² × 9.8 m/s²

L = 86.796 m

L ≅ 86.80 m

b. What factors influence the period of a simple pendulum

The factors that influence the period of a simple pendulum are

i. The mass of the bob

ii. The length of the pendulum

The coefficient of kinetic friction between the bag and the ground is found to be 0.0251. It represents the ratio of the frictional force to the normal force acting between them.

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Resultant angle; θ = 25.59°  

This question is dealing with bearings and distance.

We are told that from point A, the camel walks 20 km at 15° in the south of east direction.

Thus, d_s,e = 20 km

Resolving along the horizontal east direction gives; d_e = 20 cos 15

d_e = 19.32 km

Also, resolving along the vertical south direction gives; d_s = 20 sin 15

d_s = 5.18 km

Net vertical distance; d_vert = 8km - 5.18km = 2.72 km

Net horizontal distance; d_hor = 25km - 19.32 km = 5.68 km

Now, the resultant angle is given by;

tan θ = d_vert/d_hor

tan θ = 2.72/5.68

tan θ = 0.4789

θ = tan^(-1) 0.4789

θ = 25.59°

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The distance required is 278.8 cm.

The speed is defined as the ratio of the distance covered to the time taken. Speed is a scalar quantity and the direction of the speed is not considered in the calculation.

We have the following information;

Speed of the car = 68.0 cm/s

Time taken = 4.10 seconds.

Speed = distance / time

distance = speed * time

distance = 68.0 cm/s *  4.10 seconds

Distance = 278.8 cm

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Answer:

a. Since h = 5.74 m > 5.7 m, the height of the cliff, the block of ice will successfully launch to the top of the cliff.

b. -2.81 m/s²

c. 3.78 s

d. -351.25 N

Explanation:

a. After landing on the flat land above, each block of ice travels 20 meters while slowing to a stop.

For the block of ice to reach the top of the cliff, its maximum height, h should be greater than or equal to 5.7 m. That is, h ≥ 5.7 m.

The maximum height of a projection h, projected with an initial velocity v at an angle Ф is h = v²sin²Ф/2g where g = acceleration due to gravity = 9.8 m/s².

For the block of ice, v = 15 m/s and Ф = 45°. So,

h = v²sin²Ф/2g

= (15 m/s)²sin²45/(2 × 9.8 m/s²)

= 225 (m/s)²(1/√2)²/19.6 m/s²

= 225 (m/s)²(1/2)/19.6 m/s²

= 112.5 (m/s)²/19.6 m/s²

= 5.74 m

Since h = 5.74 m > 5.7 m, the height of the cliff, the block of ice will successfully launch to the top of the cliff.

The graph is in the attachment.

b. What is the rate of acceleration while the blocks slow to a stop?

Using v² = u² + 2as where u = initial horizontal velocity of block = 15m/scos45° = 10.61 m/s, v = final velocity of block = 0 m/s since it stops, a = acceleration and s = distance block moves = 20 m

So, a =  (v² - u²)/2s

substituting the variables into the equation, we have

a =  ((0 m/s)² - (10.61 m/s)²)/2(20 m)

= - 112.57 (m/s)²)/40 m

= -2.81 m/s²

c. How long do the blocks take to slow to a stop?

Using v = u + at where u = initial horizontal velocity of block = 10.61 m/s v = final velocity of block = 0 m/s since it stops, a = acceleration = -2.81 m/s² and t = time it takes block of ice to stop

So, making t subject of the formula,

t = (v - u)/a

substituting the values of the variables, we have

t = ( 0 m/s - 10.61 m/s)/-2.81 m/s²

= -10.61 m/s/-2.81 m/s²

= 3.78 s

d.  What is the amount of friction between the ice and the snowy ground?

The frictional force, f = net force on block of ice

f = ma where  m = mass of bock = 125 kg and a = acceleration of block = -2.81 m/s²

f = ma

= 125 kg(2.81 m/s²)

= -351.25 N

Answer:

\(559\).

Explanation:

Integrate \(a(t)\) with respect to time \(t\) to find an expression for velocity:

\(\begin{aligned} v(t) &= \int a(t)\, d t \\ &= \int (6\, t + 8)\, d t && (\text{power rule}) \\ &= 3\, t^{2} + 8\, t + C_{v} \end{aligned}\).

Note that since this integral is indefinite, the expression for \(v(t)\) includes a constant \(C_{v}\).

Find the value of \(C_{v}\) using the fact that \(v(0) = 2\). Specifically, substitute \(t = 0\) into the expression \(v(t) = 3\, t^{2} + 8\, t + C_{v}\) and solve for \(C_{v}\!\):

\(v(0) = 3\, (0)^{2} + 8\, (0) + C_{v} = C_{v}\).

\(v(0) = 2\).

\(C_{v} = 2\).

In other words, \(v(t) = 3\, t^{2} + 8\, t + 2\).

Similarly, integrate \(v(t)\) with respect to \(t\) to find an expression for position:

\(\begin{aligned} s(t) &= \int v(t)\, d t \\ &= \int (3\, t^{2} + 8\, t + 2)\, d t\\ &= t^{3} + 4\, t^{2} + 2\, t + C_{s} \end{aligned}\).

Similarly, find the value of constant \(C_{s}\) using the fact that \(s(0) = 6\):

\(s(0) = (0)^{3} + 4\, (0)^{2} + 2\, (0) + C_{s} = C_{s}\).

\(s(0) = 6\).

\(C_{s} = 6\).

In other words, \(s(t) = t^{3} + 4\, t^{2} + 2\, t + 6\). Substitute in \(t = 7\) and evaluate to find the position of the particle at that moment:

\(s(7) = 7^{3} + 4\, (7)^{2} + 2\, (7) + 6 = 559\).

The pοsitiοn of the particle at time t = 7 is 559 units.

Tο find the pοsitiοn at time t = 7, we need tο integrate the given acceleratiοn functiοn tο οbtain the velοcity functiοn and then integrate the velοcity functiοn tο οbtain the pοsitiοn functiοn.

Given:

Acceleratiοn functiοn: a(t) = 6t + 8

Initial pοsitiοn: s(0) = 6

Initial velοcity: v(0) = 2

First, let's integrate the acceleratiοn functiοn tο οbtain the velοcity functiοn:

v(t) = ∫(a(t)) dt

= ∫(6t + 8) dt

= 3t^2 + 8t + C

Tο find the cοnstant οf integratiοn (C), we can use the initial velοcity v(0) = 2:

2 = 3(0)² + 8(0) + C

C = 2

Sο, the velοcity functiοn becοmes:

v(t) = 3t² + 8t + 2

Next, let's integrate the velοcity functiοn tο οbtain the pοsitiοn functiοn:

s(t) = ∫(v(t)) dt

= ∫(3t² + 8t + 2) dt

= t³ + 4t² + 2t + C'

Tο find the cοnstant οf integratiοn (C'), we can use the initial pοsitiοn s(0) = 6:

6 = (0)³ + 4(0)² + 2(0) + C'

C' = 6

Sο, the pοsitiοn functiοn becοmes:

s(t) = t³ + 4t² + 2t + 6

Finally, we can find the pοsitiοn at time t = 7:

s(7) = (7)³+ 4(7)² + 2(7) + 6

= 343 + 196 + 14 + 6

= 559

Therefοre, the pοsitiοn at time t = 7 is 559 units.

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Given,

length of object, \(h_o = 3 cm\)

We know, for flat refracting surface,  

Image distance = object distance

So,

magnification is = \(-1\)

length of the image,

\(h_i = magnification * h_o\\\\h_i = -1 * 3 \\\\h_i = -3cm\)

Here, negative sign means inverted image.

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a) The number of turns in the solenoid is approximately 206.

To determine the number of turns in the solenoid, we can use the formula for the magnetic field inside a solenoid, which is given by B = μ₀nI, where B is the magnetic field, μ₀ is the permeability of free space, n is the number of turns per unit length, and I is the current.

Rearranging the formula, we have n = B / (μ₀I). Substituting the given values of B = 9.00 T and I = 75.0 A, and using the value of μ₀, we can calculate the number of turns per unit length. Multiplying it by the length of the solenoid (0.500 m) gives us the total number of turns in the solenoid, which is approximately 206.

A solenoid is a coil of wire wound in a helical shape. When a current flows through the coils, it creates a magnetic field along the axis of the solenoid. The strength of the magnetic field depends on factors such as the number of turns per unit length and the current flowing through the solenoid.

In this case, we are given the magnetic field and current, and we use the formula for the magnetic field inside a solenoid to calculate the number of turns. The higher the number of turns, the stronger the magnetic field generated by the solenoid.

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The height of Shadow Hill is approximately 1000 feet.

According to the provided text, the heights of various locations are given in feet, and the height of Shadow Hill is mentioned as 1000. Therefore, we can conclude that Shadow Hill is approximately 1000 feet high. No further information is given regarding the height of Shadow Hill, such as its exact measurement or a range of possible heights.

It is essential to note that this answer is based solely on the given information, and other sources may provide different or more precise measurements of Shadow Hill's height.

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Answer:

Alveoli

The bronchioles end in tiny air sacs called alveoli, where oxygen is transferred from the inhaled air to the blood.

Hope this helps :)

Answer:

40 meters

Explanation:

To solve this, we will use the motion formula \(v^{2} =u^{2} +2as\), where v is the final speed, u is the initial speed, a is the acceleration, and s is the distance. We know:

u= 20m/s

a= - 5m/s^2 (note the minus sign because we are decelerating)

v= 0m/s (our final speed will be 0 because we want to come to a stop)

Now plug in these values into the formula:

\(v^{2} =u^{2} +2as\)

\(0^{2} =20^{2} +2(-5)s\)

\(0 =400-10s\)

\(10s=400\)

\(s=40\\\)