Which of the cars has a displacement North of its initial position?




A car travels North for 5 miles, turns around and returns to the starting position.
A car travels North for 5 miles, turns around and returns to the starting position.

A car travels South for 5 miles, turns around and returns to the starting position.
A car travels South for 5 miles, turns around and returns to the starting position.

A car travels North for 5 miles, turns around and travels South for 8 miles.
A car travels North for 5 miles, turns around and travels South for 8 miles.

A car travels South for 5 miles, turns around and travels North for 8 miles.

Answer:

False.

Explanation:

The other wavelength is 775 nm, since (5/4) times 620 nm is 775 nm.

we need to understand that the diffraction pattern of a single slit consists of a series of bright fringes (maxima) and dark fringes (minima) that are spaced apart by certain angles. The position of these fringes depends on the wavelength of the incident light and the width of the slit.

In this case, we are told that the fifth minimum of one wavelength component coincides with the fourth minimum of the pattern due to a wavelength of 620 nm. Let's call this wavelength λ1. We want to find the other wavelength, which we'll call λ2.
sinθ = mλ / d
For the fifth minimum of λ1, we have:
sinθ1 = 5λ1 / d
For the fourth minimum of λ2, we have:
sinθ2 = 4λ2 / d
sinθ1 = sinθ2
5λ1 / d = 4λ2 / d
λ2 = (5/4) λ1

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One object may experience higher resistance if a component is changed without increasing the weight of the object as a whole.

The opposition a substance provides to the flow of electrical current is referred to as resistance. The capital letter R is used to symbolize it. The ohm, frequently written as a word and occasionally represented by the uppercase Greek letter omega, is the commonly used unit of resistance.

The characteristic of a conductor that opposes the flow of electric current is known as resistance. It can also be described as the relationship between the applied voltage and the electric current passing through it. One object may experience higher resistance if a component is changed without increasing the weight of the object as a whole.

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Answer:

The answer is d i think so yea

Explanation:

hope u hae  a really good  day

The magnitude and direction of the resultant force are 10.0N and 101.36⁰

The sum of force along the force horizontal is expressed as:

\(\sum F_x=-15.0N+15cos30\\\sum F_x = -15.0N + 12.99N\\\sum F_x = -2.01N\)

The sum of force along the vertical is expressed as:

\(\sum F_y = +10N\)

Calculate the magnitude of the force:

\(F=\sqrt{(\sum F_x)^2+(\sum F_y)^2} \\F=\sqrt{(-2.01)^2+(10)^2} \\F=\sqrt{104.0401}\\F= 10.2N\)

Hence the magnitude of the resultant force is 10.2N

Find the direction

\(\theta = tan^{-1}\frac{y}{x}\\ \theta = tan^{-1}\frac{10}{-2.01}\\\theta =tan^{-1}(-4.9751)\\\theta =-78.63^0\\\theta = 180-78.63 = 101.36^0\)

Hence the magnitude and direction of the resultant force are 10.0N and 101.36⁰

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Based on current evidence, the most likely candidate to make up the majority of dark matter is weakly interacting massive particles (WIMPs).

WIMPs are hypothetical particles that are predicted by various theories, including supersymmetry, which is an extension of the Standard Model of particle physics.

WIMPs are thought to interact very weakly with normal matter and possess sufficient mass to explain the gravitational effects observed in the universe. Although WIMPs have not yet been directly detected, they are a leading candidate for dark matter based on their theoretical properties and their potential to explain various astrophysical observations.

Other candidates, such as black holes, brown dwarfs, faint red stars, and jupiter-size objects, have been considered but do not currently have as much supporting evidence as WIMPs.

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Answer: A

Zero yard.

Explanation:

Given that that John lives on a square block that is 180 yards per side, and in the evenings, he walks with his dog around the block for a little exercise.

Constant speed does not necessarily mean constant velocity.

 If John walks once around the block, his final displacement will be equal to zero yard.

Because displacement is the distance between the initial and final position of an object. When an object returns to its original position, displacement will be therefore equal to zero yard.

Therefore, the best answer is option A

Answer:

720

Explanation:

Sound wave in air can be considered as a pressure wave. The mass per unit area of a piece of paper is about 7×10−3 gm/cm².

The constant in air is 41.1 gm/cm².sec. With a frequency of 4.6 kHz, The transmitted amplitude to the incident amplitude of the sound wave is given by equation 10.1 in the lab manual as:\($$\frac{A_t}{A_i} = \frac{2Z_2}{Z_1+Z_2}$$\)where, Z is the acoustic impedance and is given by:\($$Z = \rho c$$\)

where, ρ is the density of the medium and c is the speed of sound in the medium.

Now, the impedance in air, Z1 is given by:\($$Z_1 = \rho_1c_1 = 1.29\times 10^{-3} kg/m^3\times 343 m/s = 442.47 Ns/m^3$$\)The impedance in paper, Z2 is given by:\($$Z_2 = \rho_2c_2 = 7\times 10^{-3} kg/m^3\times 343 m/s = 2401.0 Ns/m^3$$\), substituting the given values in the equation for amplitude ratio:\($$\frac{A_t}{A_i} = \frac{2Z_2}{Z_1+Z_2}$$$$\frac{A_t}{A_i} = \frac{2(2401.0 Ns/m^3)}{(442.47 Ns/m^3)+(2401.0 Ns/m^3)} = 0.919$$\), the theory predicts the ratio of the transmitted amplitude to the incident amplitude of the sound wave to be 0.919.

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Cutting a magnet in half creates two new magnets, each with one north pole and one south pole.

When you cut a magnet in half between the north and south poles, you effectively create two new, smaller magnets. Each of these new magnets will have its own north pole and south pole.

This happens because the magnetic domains within the magnet reorient themselves, forming two separate magnetic fields with distinct north and south poles.

In essence, cutting a magnet does not eliminate its poles; rather, it results in the creation of two new magnets, each possessing a north and a south pole.

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The correct option is D, If allowed to roll down the incline, then at the bottom of the incline all the spheres will have equal speed.

Work-energy theorem: \(W _{allforces}=\triangle K.E\)

\(=Mgh=K.E\)

Thus for same h , \(K.E \propto M\) only.

Hence  sphere (2) will have the kinetic energy.

Also,   \(Mgh= 1/2Iw^2+ 1/2Mv^2\)

\(Mgh= 1/2 * 2/5 MR ^2 w^2 + 1/2 Mv^2\)

\(Mgh= 1/2 * 2Mv ^2 + 1/2 Mv^2\)                       (as v=Rw)

\(gh=\frac{7}{10}v^2\) = v is same for all spheres as h  is same.  

The work-energy theorem is a fundamental concept in physics that relates the work done on an object to its change in kinetic energy. It states that the net work done on an object is equal to the change in its kinetic energy. This theorem is based on the principle of conservation of energy, which states that energy cannot be created or destroyed, only transferred or transformed.

The work done on an object is defined as the force applied to the object multiplied by the distance over which the force is applied. This work transfers energy to the object, either increasing its kinetic energy or causing other forms of energy transfer or transformation.

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The length of nylon rope from which a mountain climber is suspended has a force constant of 1.15 ✕ 104 N/m.

Spring constant is the common name for the force constant. Hooke's law states that F=-kx. k=N/m is used to replace units in the equation where F is force, x is displacement, and k is force constant (spring constant) to determine the SI unit of force constant (spring constant).

The slope (gradient) of the graph equals the force constant. The proportionality constant, or k, is also known as the force constant in physics. A spring that is more rigid will have a higher value for k. The graph is no longer a straight line beyond point A since the gradient has changed and the formula F = Kx is no longer valid.

Maximum speed is at equilibrium where:

F = kx ⇒x =F/k

Now, F x=1/2mv²+1/2kx²

Solving we get,

V=F/√mk=Vmax

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Answer:

45° should be the correct one

Answer:

45° should be the correct one

Explanation:

Answer:

C. The half-life of uranium-235 is 713,000,000 years, the half-life of uranium-238 is 4,500,000,000 years

The country that would have the highest rate of skin cancers is England

We know that the chlorofluro carbons are the kind of pollutants that can be able to affect the ozone layer and bore what we call the ozone hole. We know that this can be disastrous to the ozone layer as there would be a combination of the chlorine form these with the ozone and thereby destroy the ozone layer.

We can see from the colored map that the ozone destruction seem to be much more severe in England than in other places.

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When an astronaut is standing on the Moon as opposed to when the astronaut is standing on Earth, the astronaut's weight changes.

Option 1 is appropriate in this scenario.

When an astronaut is standing on the Moon as opposed to when the astronaut is standing on Earth, the astronaut's weight changes. This is so because weight, which is the force of gravity acting on an object, is weaker on the Moon than it is on the Earth due to the Moon's smaller mass.

An astronaut will therefore be lighter on the Moon than they are on Earth. However, the astronaut's mass, which is a gauge of how much matter is in their body, does not change.

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We can solve this problem by using the First Law of Thermodynamics, which states that the change in internal energy of a system is equal to the heat added to the system minus the work done by the system:

ΔU = Q - W

Since the container is well-insulated, Q = 0 and therefore ΔU = -W. The change in internal energy is given by:

ΔU = (3/2)nRΔT

where n is the number of moles of gas, R is the gas constant, and ΔT is the change in temperature. Since the gas is monatomic, we can substitute n = N/NA, where N is the number of atoms and NA is Avogadro's number, and use R = kNA, where k is the Boltzmann constant. Then we have:

ΔU = (3/2)(N/NA)kΔT

The work done by the gas is given by:

W = PextΔV

where Pext is the external pressure and ΔV is the change in volume. Since the pressure is constant, we can substitute Pext = Patm, the atmospheric pressure. Then we have:

W = Patm(V2 - V1)

where V1 and V2 are the initial and final volumes, respectively. Substituting the given values, we have:

W = 5 J

V1 = 16 cc = 16×10^-6 m^3

V2 = 3 cc = 3×10^-6 m^3

ΔV = V2 - V1 = -13×10^-6 m^3 (negative because the gas is compressed)

Substituting into the work equation, we get:

5 J = (101325 Pa)(-13×10^-6 m^3)

P = -5/(101325×13×10^-6) atm

P ≈ 0.003 atm

This result is negative, which means that the gas has done work on the surroundings rather than the other way around. This is because we have compressed the gas by doing work on it, and the gas has then expanded against the walls of the container, doing work on the surroundings. To get the final pressure of the gas, we need to add the atmospheric pressure to the pressure change caused by the compression:

Pf = Patm - ΔP = Patm - W/V2 = 1 - 5/(3×10^6) atm

Pf ≈ 0.9983 atm

Therefore, the final pressure of the gas is 0.9983 atm.

A ball is dropped from a height of 10 m. Its velocity upon impact with the ground is (v) = (a) 14 m/s.

Velocity is a term that means that the object has changed its position by making a distance in a given time. That called the velocity of the object. It can be measured in m/s, cm/s.

To calculate the velocity we are using the formula,

v²-u²=2gh

As we know the ball start velocity from rest so, u=0

v²=2gh

Or, v=√2gh

Here we are given,

h= the height of the cliff from the ball fell. = 10m.

g= The acceleration due to gravity. = 9.8 m/s².

We have to calculate the velocity of the ball = v m/s.

Now we put the values in above equation, we get

v=√2gh

Or, v= √2*9.8*10

Or, v= 14 m/s.

So from this we can say that, Its velocity upon impact with the ground is (v) = (a) 14 m/s

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The distance of 39.3 kg mass from 536 kg mass will be .0567d to have zero force of attraction.

The force of attraction between any two bodies is inversely proportional to the square of the distance between them and directly proportional to the product of their masses.

If the cannon is fired after being filled with gunpowder, the following situations could occur.

The masses are

m₁ = 313 kg

m₂ = 536 kg

m = 39.3 kg

So as per sum if the distance between m₁ and m₂ is d and distance between m and m₂ is s then

The gravitational force between m₁ and m is equal to gravitational force between m and m₂.

\(\frac{G*m\x_{1} *m }{(d-s)\x^{2} } =\frac{G*m\x_{2} *m }{s\x^{2} }\)

⇒ m₁* s² = m₂ * (d-s)²

⇒313s² = 536d² - 1072ds + 536s²

⇒223s² + 536d² - 1072ds = 0

⇒ s = 0.567d

The distance of 39.3 kg mass from 536 kg mass will be .0567d to have zero force of attraction.

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False, In contrast to diffuse reflection, specular reflection violates the laws of reflection. Normal reflections are parallel to the surface of a flat mirror. The law of reflection only applies to flat surfaces. Convex mirrors serve as passenger door mirrors in cars.

The law of reflection states that the angle of incidence & angle of reflection is identical. A smooth finish causes a specular reflection of light. Since incident rays are parallel, reflected rays must also be parallel. Light striking a rough surface causes diffuse reflection.

The two principles governing specular reflection are,

1. At the point of incidence, the incidence angle, the reflected ray, as well as the normal towards the reflecting interface all lie in the very same plane.

2. The angle of incidence and reflection are equal.

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An iron object would be more affected by a magnetic if the current was increased and the object was brought closer.

By increasing the number of wire turns in the coil, it is one of two ways to increase magnetic field strength. by boosting the coil's current flow.

Iron is drawn to magnets due to the effect of their magnetic fields on the metal. Iron becomes magnetized when it is exposed to a magnetic field because the atoms start to align their electrons with the magnetic field's direction. The two magnetic objects then become attracted to one another as a result of this.

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Answer: 120 volts

Explanation:

(a) The maximum tidal range (spring tide) occurs during a new moon and full moon phases because the sun and moon's gravitational pulls are aligned and amplified.

(b) The minimum tidal range (neap tide) occurs at first-quarter and third-quarter moons because the sun and moon's gravitational pulls are at right angles.

(a) As the sun and moon's gravitational pulls are aligned and amplified during the new moon and full moon phases, the maximum tidal range, or spring tide, occurs during these periods. With the moon and sun on opposing sides of the Earth, the sun, moon, and Earth are all in a straight line during a new moon. Due to the moon's proximity to Earth, its gravitational pull on the planet is at its greatest. Due to its alignment with the moon and Earth, the sun's gravitational pull also contributes to this. A broader tidal range results from the seas bulging due to this alignment, which also generates higher peak tides and lower low tides.

(b) As the sun and moon's gravitational pulls are at right angles during the first and third quarters of the moon, the shortest tidal range, or neap tide, occurs at these periods. With the sun and moon on opposing sides of the Earth, the sun, Earth, and moon make a straight angle during a first-quarter moon. The gravitational pull of the sun partially cancels out the gravitational pull of the moon on Earth, reducing the tidal range. When the moon is quartered, the same thing takes place. There is a narrower tidal range at these periods because the high tides are lower and the low tides are higher.

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Answer:

waxing gibbous

Explanation:

because the moon is before the earth

Answer:

-0.8 m/s²

Explanation:

Acceleration is the slope of a velocity vs. time graph.

a = Δv / Δt

a = (0 m/s − 12 m/s) / (15 s − 0 s)

a = -0.8 m/s²

Explanation:

m1u1+m2u2=m1v1+m2v2

(3000×15)+(2200×-10)=(3000×v)+(2200×v)

45000-22000=5200v

23000=5200v

v=230/52

v=4.423m/s to the east.

Baking soda reacts with calcium chloride to form bubbles fastest in Cup Z

The rate of a chemical reaction is impacted by temperature. In general, a rise in temperature causes the rate of response to rise, whereas a fall in temperature causes the rate to fall.

The collision theory helps explain how temperature affects reaction rate. This hypothesis states that for a reaction to take place, reactant molecules must collide with enough force and in the proper direction. Temperature affects the frequency and energy of particle collisions, which in turn affects the rate of response.

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