A bus travels 6 km east and then 8 km south. The magnitude of the bus’s resultant displacement is ___km.

I would like an explanation as well so I know how you got the answer you got.

Answer: Kinetic energy is the energy an object has because of its motion

(if it needs to be a one worded answer than just type motion)

The potential energy of an object depends on its mass and its height.

The law of conservation of energy states that energy can be neither created nor destroyed, but it can change its form.

Answer:Kinetic energy is the energy an object has because of its motion. If we want to accelerate an object, then we must apply a force. Applying a force requires us to do work.

As expressed by the equation, potential energy depends upon the mass and the height of the object. Any increase in these two quantities will lead to an increase in the amount of potential energy possessed by the object.

The law of conservation of energy states that energy can neither be created nor destroyed - only converted from one form of energy to another. This means that a system always has the same amount of energy, unless it's added from the outside.

Answer: Much of this variation happens because of the role of plants in the carbon cycle

Explanation:

The amount of CO2 found in the atmosphere varies over the course of a year. Much of this variation happens because of the role of plants in the carbon cycle. ... Respiration occurs all the time, but dominates during the colder months of the year, resulting in higher CO2 levels in the atmosphere during those months.

Answer:

If the amount of C14 in a given amount of carbon (C12) has changed in a particular time period has changed then the results of carbon dating would change, One would have to examine the reasons for changes in the amount of C14 present in a given amount of C12.

Answer:

0.72 atm

Explanation:

Given that the atmospheric pressure on a mountain is 550 mmHg.

Where 1 atm is equal to 760 mmHg.

To Convert millimetre mercury (mmHg) into atmospheric pressure units (atm) , divide the magnitude of pressure by 760. That is,

Pressure = 550/760

Pressure = 0.724 atm

Therefore, pressure in atm is 0.72 atm in two significant figures

Answer:

4. The choose b. 0.000355

Ans; 3.55× 10-⁴ = 0.000355

5. The choose C. 80600

Ans; 8.06 ×10⁴= 806×10² = 80600

I hope I helped you^_^

Answer:

at 2.5m

Explanation:

because 2.5m*4m is 10.0=10

To solve this, we must know each and every concept related to speed of efflux and its calculations. Therefore,  hole at 3m will have the greatest speed of efflux.

The velocity of outflow is the speed with which a liquid emerges from a hole cut at a certain height from bottom of the container within which the liquid is contained.

Mathematically, the formula for speed of efflux can be given as

speed of efflux =√2×g×h

g= acceleration due to gravity

h1=4- 1 =3m

h2=4-2=2m

h3=4-2.5=1.5m

h4=4-1.5=2.5

Since speed of efflux is directly proportional to height. More the vale of h more will be speed of efflux. So on calculations, hole at 3m will have the greatest speed of efflux.

Therefore,  hole at 3m will have the greatest speed of efflux.

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The main advantage of using models in science is the chance to predict a given outcome and make new predictions.

The expression 'scientific models' makes reference to all advancements associated with the use of scientific claims, especially scientific theories that are well sustained by empirical evidence and the chance to prove these claims before their usage.

The scientific advantages are mainly associated with the possibility to predict the result of phenomena from the real world, which also allows for making new predictions.

In conclusion, the main advantage of using models in science is the chance to predict a given outcome and make new predictions.

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Answer:     C. The information about the delivery problems is not contained in the email.

Explanation: please give brainliest

Explanation:

Here,

Mass=16,500kg.

speed=14 m/s.

we know that,

\(\tt{ p=m×v }\) ⠀

where,

p=momentum

m=mass

v=velocity

according to the question,

\(\tt{ momentum =mass×velocity }\) ⠀

\(\tt{ 16500×14 }\) ⠀

\(\tt{ 231000~kg.m/s }\) ⠀

so,

velocity of the car is 231000kg.m/s

Answer:

Constant and positive constant

Explanation:

The object move with the same velocity at the same interval

The phenomenon of pressure waves emanating from the bullet, causing damage remote from its path, is known as B. cavitation.

Cavitation occurs when a bullet passes through a medium, like air or water, at high velocity, causing the medium to compress and expand rapidly. The rapid compression and expansion create a series of shock waves that can cause damage beyond the path of the bullet itself. Cavitation can cause damage to objects as well as tissue and organs, as the shock waves cause significant disruption. The effects of cavitation can be seen in other forms of high-velocity projectiles, such as missiles. Cavitation can also be used in underwater applications to create shock waves that can be used to clear debris or even kill marine life.

In summary, cavitation is the phenomenon of pressure waves emanating from a bullet, causing damage remote from its path. This phenomenon can cause considerable damage beyond the path of the bullet, as well as having practical applications in underwater engineering. Therefore the correct option is B

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The direction and magnitude of the three given vectors are:
1. A + B: magnitude = 26.07m, direction = -49.62°
2. A - B: magnitude = 49.56m, direction = 12.84°
3. B - A: magnitude = 49.56m, direction = 191.16°.

To find the direction and magnitude of the given vectors, we can use the trigonometric functions of sine, cosine, and tangent.

1. The vector sum A + B [10.22m, 145.16°]:
To find the magnitude, we use the formula: |A + B| = √(A^2 + B^2 + 2ABcosθ). Plugging in the values, we get |A + B| = √(10.22^2 + 22^2 + 2(10.22)(22)cos(145.16°)) = 26.07m. To find the direction, we use the formula: tanθ = (Bsinθ + Asin(180°-θ))/(Bcosθ + Acos(180°-θ)). Plugging in the values, we get tanθ = (-22sin(145.16°) + 10.22sin(34.84°))/(-22cos(145.16°) - 10.22cos(34.84°)) = -1.23. Therefore, the direction is θ = -49.62° (measured counterclockwise from the positive x-axis).

2. The vector A - B, [49.56m, 157°]:
To find the magnitude, we simply take the absolute value of A - B, which is 49.56m. To find the direction, we can subtract the angle of B from the angle of A, which gives us 12.84° (measured counterclockwise from the positive x-axis).

3. The vector difference B - A, [49.56m, 337°]:
To find the magnitude, we simply take the absolute value of B - A, which is also 49.56m. To find the direction, we can subtract the angle of A from the angle of B, which gives us 191.16° (measured counterclockwise from the positive x-axis).

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Answer:

Missing Details, Most Are Approximations,Simplicity

Explanation:

I just had this question

The focal length of the lens for an object at the near point of the eye to focus on the retina should be approximately 2.6 cm.

To determine the focal length of the lens, we can use the lens formula:

1/f = 1/v - 1/u

Where:

f = focal length of the lens

v = image distance (distance between the lens and the retina)

u = object distance (distance between the lens and the near point)

Given:

Near point distance (u) = 25 cm

Distance between lens and retina (v) = 2.7 cm

Substituting the given values into the lens formula:

1/f = 1/2.7 - 1/25

Simplifying the equation:

1/f = (25 - 2.7)/(2.7 * 25)

= 22.3/(2.7 * 25)

≈ 0.329

Now, taking the reciprocal of both sides to find f:

f = 1/0.329

≈ 3.04 cm

Therefore, the focal length of the lens should be approximately 2.6 cm (rounded to one decimal place).

The focal length of the lens for an object at the near point of the eye to focus on the retina should be approximately 2.6 cm.

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The amount of heat needed to evaporate 100 g of water is 4070 kJ.

The amount of heat (q) needed to evaporate a substance can be calculated using the formula:

q = m * ΔHvap

where m is the mass of the substance being evaporated and ΔHvap is the heat of vaporization.

For water, the heat of vaporization is 40.7 kJ/mol, which means that it takes 40.7 kJ of energy to evaporate one mole of water. To find out how much energy is needed to evaporate 100 g of water, we need to convert the mass to moles using the molar mass of water:

1 mol of water = 18.015 g/mol

Therefore, the number of moles of water in 100 g is:

n = 100 g / 18.015 g/mol = 5.548 mol

Now we can use the formula for q:

q = n * ΔHvap

q = 5.548 mol * 40.7 kJ/mol

q = 4070 kJ

Therefore, the amount of heat needed to evaporate 100 g of water is 4070 kJ.

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Answer: the answer is d $19.95

Explanation:

chicken dinner: 6.95 x 3 = 20.85

burger: 5.75

20.85 + 5.75 = 26.6

26.6 divided by 4 (bc theres 4 ppl and the bill needs to be split equally)

26.6/4= 6.65

and since 3 friends are paying him back u gotta do 6.65 x 3 = 19.95

Air is cooled and

becomes denser.

Denser air sinks.

The process repeats, producing a (i wasn't sure about this one)

Air is heated and becomes less dense.

Less dense air rises.

hope this helps!

Answer:

B

Explanation:

hope that helps!

The development of our current model of the atom evolved over centuries, starting with the ancient Greeks' conceptualization of the atom as an indivisible particle.

Around the fifth century BCE, the Greeks became the first people to put forth the idea of the atom. Democritus and other philosophers proposed the idea that matter is made up of tiny, indivisible pieces called atoms, but there was no experimental support for this theory at the time. Although it survived for centuries, this idea did not significantly change until the 19th century.

Scientific developments in the 19th century led to a deeper comprehension of atoms. With notable contributions from Michael Faraday's work on electromagnetic induction and Benjamin Franklin's electricity tests, scientists discovered the presence of electrical charges.

Groundbreaking investigations that transformed our understanding of the atom took place in the early 20th century. The electron, a negatively charged particle inside the atom, was discovered in 1897 as a result of J.J. Thomson's cathode ray tube studies. Atoms are shown to have a small, dense, positively charged nucleus that is around by negatively charged electrons in a large empty region by Ernest Rutherford's gold foil experiment in 1911.

The Rutherford model, sometimes known as the planetary model, was created in response to the discovery of the nucleus. This model, however, encountered problems since it was unable to explain the stability of atoms and the behavior of electrons. Researchers like Werner Heisenberg and Erwin Schrödinger made significant contributions to the development of quantum mechanics in the 1920s and 1930s.

The wave-particle duality and quantum mechanical concepts are both included in the current model of the atom, also referred to as the quantum mechanical model. In orbitals, which are areas of probability where electrons are most likely to be located, it says that electrons exist. Around the nucleus, these orbitals are arranged into energy levels or shells. The behavior of subatomic particles like protons and neutrons, which make up the nucleus, is also taken into consideration by the model.

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The velocity of the electron can be determined using the de Broglie wavelength formula, which relates the wavelength (λ) to the momentum (p) of a particle: λ = h / pwhere λ is the wavelength, h is the Planck's constant (6.626 x 10^-34 J·s), and p is the momentum.

To find the velocity, we need to first calculate the momentum of the electron. The momentum (p) of a particle is given by:
p = m * v
where m is the mass of the electron and v is its velocity. Rearranging the de Broglie wavelength formula, we have:
p = h / λ
Substituting the given values, we can calculate the momentum:
p = (6.626 x 10^-34 J·s) / (8.7 x 10^-11 m) = 7.61 x 10^-24 kg·m/s.
Now, we can solve for the velocity (v):
v = p / m = (7.61 x 10^-24 kg·m/s) / (9.1 x 10^-31 kg) ≈ 8.36 x 10^6 m/s
Therefore, the velocity of the electron is approximately 8.36 x 10^6 m/s.

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The distance d between the golfer and point b where the ball first lands is 4933.17 ft

Initial velocity = 250.0ft/s

Launch angle (\(\theta\)        )= 25°

slope angle(\(\phi\)) = 5°

Let d is the distance on the slope after which projectile lands

∴ horizontal distance covered by projectile

x = dcos\(\theta\)

Vertical distance covered by projectile

y = dsin\(\theta\)

now Considering horizontal motion

Initial horizontal velocity \(v_{x} = v cos25\)

then position after time t

d cos5 = 250cos25×t

d = 227.44t          ---------1.

when we consider vertical motion then

Initial vertical velocity \(v_{y} = v sin25\)

\(v_{y} = v sin\theta t-\frac{1}{2}gt^{2}\)

-d sin5 = 250 sin25.t - gt²/2

-d = 1212.25t - 56.221 t²

1212.25t - 56.221 t² + d = 0         ----2

put value of d in equation 2

1212.25t - 56.221t² + 227.44t =0

t(1212.25+227.44 - 56.221 t) =0

t(1234.69 - 56.221 t) = 0

t = 21.96 ,t≠0

substitute the value of t in equation 1

d = 227.44t    

d = 227.44×21.96

d = 4933.17 ft

The distance d between the golfer and point b where the ball first lands is  4933.17 ft

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Given :

A rectangular solid box of aluminum is heated.

To Find :

Which of the following is not true.

A) Its mass remains constant

C) its density increase

B) Its volume increase

D) none of the above​

Solution :

We know, when an object is heated it expands.

Objects expands means that the volume increases but mass remains same by conservation of mass.

Since mass remains constant and volume increases.

So, density will decrease.

Hence, this is the required solution.

Answer:

The horizontal range is maximum when θ is equal to 45°

Explanation:

Projectile Motion

It's known as the type of motion that experiences an object that is projected near the Earth's surface and moves along a curved path exclusively under the action of gravity.

Being vo the initial speed of the object, θ the initial launch angle, and \(g=9.8\ m/s^2\) the acceleration of gravity, then the maximum horizontal distance traveled by the object (also called Range) is:

\(\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}\)

Since the sine of an angle is bounded between -1 and 1, the maximum range will occur when the sine is 1:

\(\sin(2\theta)=1\)

The only angle between 0° and 360° whose sine is 1 is 90°, thus:

\(2\theta=90^\circ\)

Solving:

\(\theta=45^\circ\)

The horizontal range is maximum when θ is equal to 45°

The horizontal range is maximum for the value of angle equivalent to \(45^{\circ}\).

Given data:

The player kicks the ball with an angle \(\theta\) with the horizontal.

The given problem is based on the concept and fundamentals of projectile motion. In a projectile motion, the horizontal range is the horizontal distance covered by an object during its trajectory.

The mathematical expression for the horizontal range is given as,

\(R = \dfrac{u^{2}sin2 \theta}{g}\)

Here,

R is the horizontal range.

u is the initial speed.

And g is the gravitational acceleration.

Clearly, if we need maximum horizontal range, then we need to have the maximum value of sine. So if,

\(\theta =45^{\circ}\)

\(sin2 \theta=sin90\) = 1

So the maximum range is,

\(R = \dfrac{u^{2}sin(2 \times 45^{\circ})}{g}\\\\R = \dfrac{u^{2} \times sin 90^{\circ}}{g}\\\\R = \dfrac{u^{2}}{g}\)

Thus, we can conclude that the horizontal range is maximum for the value of angle equivalent to \(45^{\circ}\).

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The velocity of the diver when he is 5 m from hitting the water is 10.7 m/s. We can solve this problem using the conservation of energy.

The Law of Conservation of Energy was discovered in 1842 by Julius Robert Mayer. It is now known as the First Law of Thermodynamics, which states that energy neither creates nor destroys itself.

PE = mgh\

where:

m = mass of the diver = 85 kg

g = acceleration due to gravity = 9.81 m/s^2

h = height of the dive = 12 m

\(PE = (85 kg) *(9.81 m/s^2) * (12 m) = 9997.8 J\)

As the diver falls, the potential energy is converted into kinetic energy given by:

\(KE = (1/2)mv^2\)

When the diver is 5 m from hitting the water, his potential energy has decreased to:

\(PE = (85 kg) * (9.81 m/s^2) * (12 m - 5 m) = 6419.5 J\)

Since the total energy is conserved, we can equate the potential and kinetic energies at this point:

PE = KE

\(6419.5 J = (1/2) * (85 kg) * v^2\)

Solving for v, we get:

\(v = \sqrt(2 * 6419.5 J / 85 kg)\\= 10.7 m/s\)

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Answer:

1.33ohms

Explanation: The formula for resistance in a parallel circuit is :

1/Rt = 1/R1+1/R2

Where Rt represents total resistance, R1 = 4ohms and R2 = 2ohms

1/Rt = 1/4+1/2

1/Rt = 1+2/4

1/Rt = 3/4

Rt = 4/3

Rt= 1.33ohms

Hence the total resistance is 1.33ohms

Answer:

greatest displacement = 44.1m

initial velocity= 29.4m/s

Explanation:

Greatest displacement

s=1/2at^2

= (9.8/2 ×9)m

= 44.1m

initial velocity

s=ut-1/2at^2

44.1= 3u -(1/2×9.8×9)

44.1=3u-44.1

3u=88.2

u=29.4m/s

The lowest possible energy of an electron in hydrogen with an orbital angular momentum of √(30) ℏ is -13.6 eV.

The lowest possible energy of an electron in a hydrogen atom can be determined using the formula for the total energy of an electron in the hydrogen atom:

\(E = -13.6 eV / n^2\)

where E is the energy, -13.6 eV is the ionization energy of hydrogen, and n is the principal quantum number. For the ground state, n = 1.

The orbital angular momentum of the electron is given by:

L = √(l(l + 1)) ℏ

where l is the azimuthal quantum number, and ℏ is the reduced Planck constant (h/2π).

In the case where L = √(30) ℏ, we can solve for l:

√(30) ℏ = √(l(l + 1)) ℏ

Squaring both sides:

30 ℏ² = l(l + 1) 30 ℏ²

Simplifying:

30 = l(l + 1)

Now, we need to solve for the possible values of l. We can rearrange the equation:

l²+ l - 30 = 0

Solving this quadratic equation, we find that l = 5 or l = -6. Since the azimuthal quantum number l must be a non-negative integer, l = 5 is the valid solution.

Therefore, the lowest possible energy for an electron in hydrogen with an orbital angular momentum of √(30) ℏ and n = 1 is:

E = -13.6 eV / 1²= -13.6 eV

So the lowest possible energy is -13.6 electron volts (eV).

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Answer:

Yes, for most, but not all people.

Explanation: