A hiker has determined which hiking path to take through a national forest (A is the starting point and B is the final destination). Below is the map of that trail. What does the red line most likely represent?
Total displacement from A to B
Total distance of the path from A to B
Both Total displacement and distance of path from A to B
The shortest path between A and B


In the following equation, Vi represents initial velocity and Vf represents final velocity. The equation for average acceleration is a = (Vf - Vi)/t. Solve this formula for t.
t = a/(Vf - Vi)
t = (Vf - Vi)/a
t = a(Vf - Vi)
t = (Vf - Vi)a

Select the 2 equations that show the same correct relationship between Average Velocity, Distance, and Time.
d = vt
t = v/d
v = t/d
v = d/t

NEED HELP ASAP PLEASE HELP

Iron has a greater atomic radius than calcium.

This comes from the fact that Iron has more electrons, this in turns means that the it has more shells and then the distance between its nucleos to the outer shells is greater.

Answer:

ROYGBIV or Roy G. Biv is an acronym for the sequence of hues commonly described as making up a rainbow: red, orange, yellow, green, blue, indigo and violet. The initialism is sometimes referred to in reverse order, as VIBGYOR.

Answer:

1)The connection should be tight.

2)The wire should be connected at the terminals not in between.

3)clean the ends of the wire by sandpaper.

4)Take the voltmeter and ammeter in proper range.

5)The rheostat should be used of low resistant(about 100).

The mean lifetime of A is given by τ(A) = 26 × 10⁻¹⁰ s. The A decays into p + e⁻ + ve with a branching fraction of BR(A → p + e⁻ + ve) = 83 × 10⁻⁴.The mean lifetime of A⁺ (udc) is given by τ(A⁺) = 2-1 × 10⁻¹³ s.

The branching fraction of A into A⁺ + e⁺ + ve is given as follows: First, we can calculate the decay constant for A.λ = (1/τ) = (1/26 × 10⁻¹⁰) s⁻¹.The half-life of A is given by t₁/₂ = ln(2) / λ = (ln2 × τ) = 2.667 × 10⁻¹⁰ s. The branching fraction of A → A⁺ + e⁺ + ve is given as follows: BR(A → A⁺ + e⁺ + ve) = 1 - BR(A → p + e⁻ + ve) = 1 - (83 × 10⁻⁴) = 0.99917.

The measured value of the branching fraction of A → A⁺ + e⁺ + ve is BR(e+ve) = 2106 %.This is greater than 100%. Therefore, the value must be a typographical error. The correct percentage is probably 21.06%.The estimated branching fraction of A → A⁺ + e⁺ + ve is 99.917%, which is very close to 100%. This implies that the A mainly decays into A⁺ + e⁺ + ve.

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the wavelength of wave a is equal to the speed of the wave divided by its frequency, or λ_wave a = v / 1000 Hz.

The speed of a wave is given by the equation:

v = f * λ

where v is the speed of the wave, f is the frequency of the wave, and λ is the wavelength of the wave.

Since the two waves are traveling at the same speed, their speed is constant, and we can set their speed equal to each other:

v_wave a = v_wave b

We know the frequencies of the waves, so we can use the above equation to find their wavelengths:

v = f * λ

λ_wave a = v_wave a / f_wave a

λ_wave a = v_wave b / f_wave b

Substituting the given values, we get:

λ_wave a = v / f_wave a

λ_wave a = v / 1000 Hz

The complete question is:

Two waves travel at the same speed. the frequency of wave a is 1000 hz, and the frequency of wave b is 4000 hz. wavelength a is:________

a v / 8000 Hz

b v / 2000 Hz

c v / 1000 Hz

d v / 9000 Hz

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Answer:

Momentum is a physical quantity equal to the product of mass of the object and its velocity. Since velocity is a vector (a quantity that has both magnitude and direction), momentum is a vector quantity as well. According to the law of conservation of momentum, the momentum is always conserved.  This means that the initial momentum must be equal to the final momentum. Our initial momentum is zero since both, trolly and the girl on it are stationary. When the girl jumps, she has some velocity v. To compensate for that, the trolly will also move with some velocity v, but in the opposite direction so that the momentum stays conserved.

Explanation:

An external force exceeding the maximum static friction between the object and the surface is the likely reason for the object to start moving. This force could be from various sources.

The most likely reason the object begins to move is that a force is acting on it, overcoming the static friction between the object and the surface.

Static friction is the force that keeps the object at rest, but once the force acting on the object exceeds the maximum static friction, the object starts to move.

The force could come from various sources, such as an external push or pull, the force of gravity if the surface is inclined, or the force of air resistance if the object is moving through the air.

The coefficient of static friction between the object and the surface is also an important factor in determining the maximum static friction that can be exerted before the object starts to move.

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Given,

The length is r=5.70 m

The tangential speed is r=9.10 m/s

The centripetal acceleration is:

The acceleration is:

The correct option is 4.

The process by which the isotope 56Fe decays into the isotope 56Co is beta decay.

The correct option is 4.What is beta decay? Beta decay is a type of radioactive decay in which a beta particle, a positron, or an electron is emitted by the nucleus of an atom. Beta decay is a decay process in which the atomic nucleus emits beta particles, which are high-energy, high-speed electrons or positrons.

In beta decay, a neutron in the nucleus transforms into a proton, causing the emission of an electron and a neutrino in the process. The isotope 56Fe decays into the isotope 56Co by the following beta decay process:56Fe26 → 56Co27 + β−where β- is a beta particle, and it is emitted from the nucleus, resulting in an increase in atomic number Z by one, while atomic mass number A remains unchanged. The daughter isotope is 56Co.

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Answer:

a = \(-\frac{25}{27}\) m/s²

Explanation:

Acceleration (a) = (final velocity - initial velocity) ÷ (final time - initial time) =  \(\frac{v_{f} - v_{i} }{t_{f} - t_{i} }\)

Converting the speed from km/h to m/s;

100 km = 100000m

1hr = 3600s

∴ 100km/hr ⇄ \(\frac{100000 m}{3600 s}\) = \(\frac{250}{9} m/s\)

Acceleration = \(\frac{0 - 250/9}{30}\) = \(-\frac{250}{9 * 30} = -\frac{25}{27}\) m/s²

i.e deceleration = \(\frac{25}{27}\) m/s²

From what we know, we can confirm that the phrase in the question best describes the term "Theory".

We can say that this is the exact definition of a theory. In other words, a theory is an idea or hypothesis proposed as a possible solution to a known problem, which is backed up by facts and conclusions derived from many scientific experiments and investigations.

Therefore, we can confirm that the phrase in the question best describes the term "Theory".

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Answer:

Reduce friction

Answer:

Explanation:

Red light has longer waves, with wavelengths around 620 to 750 nm.

Answer:5.45X10^3m

Explanation:So use the formula,v= fλ

3X10^8=5.5X10^4λ what Im saying is divide both and u should get 5454.54m but do sig figs to get answer

Answer:

5.45X10^3m

Explanation:

The force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

The spring constant is the force needed to stretch or compress a spring, divided by the compressive or expansive distance. It's used to determine stability or instability in the spring, and therefore the system it's intended for. we know,

F = kx

Therefore,

k = F/x

We also know that the force being exerted on the spring is equal to the mass of the object. Hence, F = mg = 5.13 * 9.8 N = 50.174 N and we know compression due to the mass is 0.25m. Therefore,

K = 50.174/0.25 N/m

K = 200.696 N/m

Therefore, The Spring Constant is 200.696 N/m

On release, the spring potential energy gets converted to kinetic energy. Hence, on release, the height attained by the object is given by:

h = \(1/2 kx^{2}\)

We know that k=200.696 N/m and x=0.25 m. Therefore the height is:

h = \(1/2 (200.696 N/m)(0.25 m)^{2}\)

h = 2.5087 m

Therefore, the force constant of the spring is 200.696 N/m & The height the object achieves when the spring releases its energy is 2.5087 m

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Answer:

I think you are looking for the velocity, so the answer is 38.5 m/s

Explanation:

Velocity is giving by displacement/time. North will be positive and South will be negative, George travels 750 meters then travels -250 meters his displacement is then 750 - 250 or 500 meters. Divide that by 13 seconds to get 38.5 m/s.

Answer:

d

Explanation:

mass and weight do not effect how fast a object falls

The time taken for the feather to drop to the surface, given that the gravitational acceleration is 1.6 m/s², is 1.4 s

From motion under gravity, we understood that height and time are related according to the follwing formula:

h = ½gt²

Where

Using the above formula, we can obtain the time taken for the feather to drop to the surface. Details below:

h = ½gt²

1.6 = ½ × 1.6 × t²

1.6 = 0.8 × t²

Divide both side by 0.8

t² = 1.6 / 0.8

Take the square root of both side

t = √(1.6 / 0.8)

t = 1.4 s

Thus, the time take is 1.4 s

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By keeping their centre of gravity over the beam, a gymnast may balance himself. The gymnast increases their moment of inertia, or resistance to rotational motion, by spreading their arms out to the sides, making it harder to unintentionally tilt or spin. As a result, their body is more stable, aiding in balance maintenance. Moreover, the centre of mass can be slightly adjusted with the arm movements to make up for any minor deviations from the equilibrium position. The gymnast can also orient oneself in relation to the beam using the visual clues provided by the arms. Overall, while balancing on a beam, a gymnast can gain various advantages from extending their arms to the side, including increased stability and many more.

Answer:

Because the atmosphere is so thin, high wind velocities are needed to move sand and dust.

Answer:

Joules

Explanation:

The unit for Energy is Joules, which is equal to kg m²/s².

The gravitational potential energy is calculated as:

Where m is mass (kg), g is gravity (m/s²) and h is the height (m). So, the unit of the potential energy is:

Therefore, the answer is joules.

Speed of the bricks at the top of hill is 6.26 m/s. c.)speed of the bricks at the top of hill is 14.14 m/s. d)minimum compression of spring necessary to get to the top of hill is 6.26 m. e) speed of the bricks at the top of hill with 2 m of initial compression and 15% energy dissipation is 13.04 m/s.

The capacity or power to do work, such as the capacity to move an object by application of force is called energy.

Initial potential energy of compressed spring is:

Ep = 1/2 kx^2 = 1/2 * 500 N/m * (2 m)^2 = 1000 J

k is spring constant, x is compression of the spring, and J is unit of energy in joules.

Final potential energy of the bricks is:

Ep = mgh = 100 N * 9.81 m/s^2 * 2 m = 1962 J

Ep = Ep

1/2 kx^2 = mgh

v = sqrt(2gh) = sqrt(2 * 9.81 m/s^2 * 2 m) = 6.26 m/s

Therefore, the speed of the bricks at the top of the hill is 6.26 m/s.

c.  Initial potential energy of compressed spring is: 1000 J

Ek = Ep = 1000 J

Kinetic energy of the bricks is given by:

Ek = 1/2 mv^2

1000 J = 1/2 * 100 N * v^2

v = sqrt(200 / 1) = 14.14 m/s

Therefore, the speed of the bricks at the top of the hill is 14.14 m/s.

d.  As, Ep = m g h

where m is mass of the bricks, g is acceleration due to gravity, and h is  height of the hill.

Ep = 100 N * 9.81 m/s^2 * 2 m = 1962 J

Ep = 1/2 kx^2 = 1962 J

1/2 * 500 N/m * x^2 = 1962 J

x = sqrt(2 * 1962 J / 500 N/m) = 6.26 m

Therefore, the minimum compression of the spring necessary to get to the top of the hill is 6.26 m.

e. If 15% of the energy is dissipated through friction, final kinetic energy of the bricks at the top of the hill will be 85% of initial potential energy of the compressed spring. Therefore,

0.85 * 1000 J = 1/2 mv^2

v = sqrt(170 / 1) = 13.04 m/s

Therefore, the speed of the bricks at the top of the hill with 2 m of initial compression and 15% energy dissipation is 13.04 m/s.

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The block rises to a maximum height of 9.98 m above the point of release.

The maximum height above the point of release to which the block rises after it is released from rest can be calculated as follows:

Step 1: Determine the potential energy stored in the spring U = 1/2 kx² Where, U is the potential energy of the spring, k is the force constant, and x is the compression in meters U = 1/2 × 4975 N/m × (0.099 m)²U = 24.52 J

Step 2: The potential energy stored in the spring is converted into kinetic energy, which is then converted into gravitational potential energy.
Thus, U = K.E. = 1/2 mv²Where, K.E. is the kinetic energy of the block, m is the mass of the block, and v is the velocity of the block just after leaving the spring. Rearrange the above formula to calculate the velocity of the block as it leaves the spring: v = √(2U/m)v = √[2(24.52 J)/0.259 kg]v = 5.60 m/s

Step 3: At the maximum height above the point of release, the block has zero kinetic energy and a maximum potential energy. Thus, the gravitational potential energy of the block can be calculated as follows: mgh = U
Where, m is the mass of the block, g is the acceleration due to gravity, h is the maximum height above the point of release, and U is the potential energy stored in the spring. h = U/mg= U/(mg) = (24.52 J)/(0.259 kg × 9.81 m/s²)h = 9.98 m

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The angular speed at which the propeller blade's tip will fracture is given by ω = √(2(amax / r)s), where amax is the maximum acceleration, r is the radius, and s is the linear displacement of the blade tip.

To determine the angular speed at which the blade tip will fracture, we need to consider the relationship between angular acceleration, angular speed, and radius.

The angular acceleration of the propeller blade can be expressed as:

α = (ω^2 - ω₀^2) / (2θ)

where α is the angular acceleration, ω is the final angular speed, ω₀ is the initial angular speed (which is zero in this case since the propeller is initially at rest), and θ is the angle through which the blade rotates.

If the magnitude of the acceleration at the blade tip exceeds a certain value amax, then we can set α equal to amax:

amax = (ω^2 - 0) / (2θ)

Simplifying the equation, we get:

2θamax = ω^2

Now, we need to consider the relationship between the angular displacement θ and the radius r. The angular displacement can be expressed as:

θ = s / r

where s is the linear displacement of the blade tip.

Substituting θ in terms of s/r in the previous equation, we get:

2(amax / r)s = ω^2

Simplifying further:

ω = √(2(amax / r)s)

Therefore, the angular speed at which the blade tip will fracture is given by the equation:

ω = √(2(amax / r)s)

It's important to note that the exact value of s, the linear displacement of the blade tip, would depend on the specific conditions and characteristics of the propeller system.

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Answer:

3.33kg

Explanation:

Force=mass×acceleration

Force=50N

Acceleration=15m/s^2

50=m×15

50=15m

50/15=15m/15

3.33=m

Therefore the mass is 3.33kg

If an object orbits the Sun at an average distance of 32 astronomical units (AU), the question is asking for the orbital period of this object in Earth years.

The orbital period of a planet or any object orbiting the Sun can be determined using Kepler's Third Law of Planetary Motion. According to Kepler's Third Law, the square of the orbital period is directly proportional to the cube of the semi-major axis of the orbit.

In this case, the average distance of the object's orbit is given as 32 AU. The semi-major axis of an elliptical orbit is equal to the average distance, so we can consider the semi-major axis as 32 AU.

Using the relationship from Kepler's Third Law, we can set up the following equation:

(T₁ / T₂)² = (a₁ / a₂)³

Letting T₁ represent the orbital period in Earth years and a₁ represent the average distance in AU, we have:

(T₁ / 1 year)² = (32 AU / 1 AU)³

Simplifying the equation, we find:

(T₁ / 1)² = 32³

T₁² = 32³

Taking the square root of both sides, we get:

T₁ = √(32³)

Calculating the value, the orbital period in Earth years would be approximately 165.77 years.

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Required the corresponding peak current is 16.97 A.

The corresponding peak current can be calculated using the formula Ipeak = Irms * √2. Therefore, the peak current for a circuit breaker that trips at 12.0 A

RMS current would be Ipeak = 12.0 * √2 = 16.97 A (rounded to two decimal places). It's important to note that peak current represents the maximum instantaneous current that a circuit can handle, while RMS current represents the equivalent heating effect of a steady DC current. In other words, a circuit breaker is designed to protect against overloading caused by peak currents, which can be higher than the corresponding RMS current.

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→ The magnitude of the wagons horizontal acceleration is 8.5755 m/s².

First, apply the Second Law of Newton in the 'y' direction. Note: The P force has a component in the axis, it is Psin(40)! Therefore:

\(\Large \text {$N + Psin(40) = W$}\\\\\Large \text {$N + 2N \times sin(40) = m \times g$}\\\\\Large \text {$N(1+ \times 2sin(40)) = m \times g$}\\\\\Large \text {$ \sf N = \dfrac {12 \times 9.8}{1+2sin(40)} = 51.453 $ N}\)

So, in the X direction:

\(\Large \text {$m \times a = 2N \times cos(40)$}\\\\\Large \text {$ \sf a = \dfrac {2 \times 51.453}{12} = 8.5755 m/s^2$}\)

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