the student wishes to repeat the using different slit separations. what is the smallest slit separation, in micrometers, that produces a first-order maximum?

Answer:

The time spent in air by the package is 1.5 s

Explanation:

Given;

speed of the balloon, v = 7.0 m/s

distance traveled by the balloon, d = 21 m

The time spent by the object in the air is give by;

d = vt + ¹/₂gt²

21 = 7t + ¹/₂(9.8)(t²)

21 = 7t + 4.9t²

4.9t² + 7t -21 = 0

solve this quadratic expression, and the value of t will be

t = 1.5 s

Therefore, the time spent in air by the package is 1.5 s

Answer:

Temperature is another condition that affects the speed of sound. Heat, like sound, is a form of kinetic energy. Molecules at higher temperatures have more energy and can vibrate faster and allow sound waves to travel more quickly. ... The speed of sound is also affected by other factors such as humidity and air pressure.

With the "twist-out" style, knots can be opened and released to create wavy and fuller loose curls.

The twist-out style is a popular hairstyling technique commonly used to create wavy or curly hair textures. It involves twisting sections of hair together and allowing them to set before unraveling the twists. The resulting hairstyle is characterized by defined and elongated curls or waves.

To achieve a twist-out, the hair is typically divided into small sections, and each section is twisted from the roots to the ends. The twists are then secured, and the hair is left to dry or set for a certain period.

Once the twists are released, the hair will have a wavy or curly pattern, depending on the size of the twists and the hair's natural texture.

By using the twist-out method, knots are opened and released, allowing the hair to spring back into its natural or manipulated curl pattern.

Therefore, this technique gives the hair more volume, texture, and movement, resulting in wavy and fuller loose curls.

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We will have the following:

First, we know that the centripetal acceleration is given by:

So, the centripetal acceleration is:

Explanation:

Given parameters:

Distance hopped  = 84m

Displacement  = 84m due east

Time  = 7s

Unknown:

Speed of kangaroo  = ?

Velocity of kangaroo  = ?

Solution:

To solve this problem,

    Speed  = \(\frac{distance}{time }\)   = \(\frac{84}{7}\)  = 12m/s

  Velocity  = \(\frac{displacement}{time}\)   = \(\frac{84}{7}\)   = 12m/s due east

The most recent information you can get about this star is near 10 years old.

A light-year is a distance unit, that represents the distance that light can travel in one year.

Now, we know that nothing can move faster than the speed of light, and the only information that we can get about this star comes through light (electromagnetic waves). And these waves travel at the speed of light.

So these waves would need at least 10 years to travel from the start to the satellites that can detect them, this means that the most recent information that you can get about this star is actually 10 years old.

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The flux density can be determined by using the Biot-Savart law, which relates the magnetic field B at a point due to a current-carrying conductor with its length, distance, and direction.

The formula is given as, B = μ₀I/(2πr)where,μ₀ is the permeability of free space, I is the current passing through the conductor, r is the distance of the point from the conductor. Now, for the given problem, let’s substitute the given values and calculate the flux density.

μ₀ = 4π × 10⁻⁷ TmA⁻¹

I = 100 A,

r = 8 cm = 0.08 m

Substituting these values into the above formula we get,

B = μ₀I/(2πr)

⇒ B = 4π × 10⁻⁷ TmA⁻¹ × 100 A/(2π × 0.08 m)

⇒ B = 5 × 10⁻⁵ T or

50 μT

The flux density at a point 8 cm from the conductor is 50 μT, which is equal to 5 × 10⁻⁵ T. Answer: Thus, the answer is 50 μT a

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An atom is the smallest unit of matter that forms a chemical element. An atom is made up of three kinds of subatomic particles: electrons, protons, and neutrons.A molecule is a combination of atoms bonded together through a covalent bond. Generally, we think of molecules as having no charge (although molecular ions do exist)

Along with your family, plan nutritious meals, or establish a weekly healthy potluck at work. I don't enjoy exercising. Discard the outdated idea that exercising involves weightlifting at a gym.

The six fundamental lifestyle habits for a long, good health include sleeping enough, eating a good food, exercising, keeping a healthy weight, quitting smoking, and drinking in moderation.

Walking, cycling, skating, sports, active recreation, and play are all common methods to be active that anyone may do for fun and at any ability level. It has been demonstrated that regular exercise helps control and prevent noncommunicable diseases like diabetes, heart disease, stroke, and a number of malignancies.

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Answer:

λ = 1.8 x 10⁻⁷ m = 180 nm

Explanation:

First we find the work function of tungsten by using the following formula:

∅ = hc/λmax

where,

∅ = work function = ?

h = Plank's Constant = 6.626 x 10⁻³⁴ J.s

c = speed of light = 3 x 10⁸ m/s

λmax = maximum wavelength for photoelectric emission = 230 nm

λmax = 2.3 x 10⁻⁷ m

Therefore,

∅ = (6.626 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(2.3 x 10⁻⁷ m)

∅ = 8.64 x 10⁻¹⁹ J

Now we convert Kinetic Energy of electron into Joules:

K.E = (1.5 eV)(1.6 x 10⁻¹⁹ J/1 eV)

K.E = 2.4 x 10⁻¹⁹ J

Now, we use Einstein's Photoelectric Equation:

Energy of Photon = ∅ + K.E

Therefore,

Energy of Photon = 8.64 x 10⁻¹⁹ J + 2.4 x 10⁻¹⁹ J

Energy of Photon = 11.04 x 10⁻¹⁹ J

but,

Energy of Photon = hc/λ

where,

λ = wavelength of light = ?

Therefore,

11.04 x 10⁻¹⁹ J = (6.626 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/λ

λ = (6.626 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(11.04 x 10⁻¹⁹ J)

λ = 1.8 x 10⁻⁷ m = 180 nm

The null hypothesis in this scenario would be that there is no significant difference between the mean chlorine concentrations in the two separate water sources. This means that the water quality monitor is assuming that the two sources are essentially the same in terms of their chlorine concentrations, and any observed differences are due to chance or random variation.

To test this null hypothesis, the water quality monitor would need to collect data on the chlorine concentrations in both water sources and calculate the mean concentration for each. Then, a statistical test such as a t-test or ANOVA could be used to determine if the observed difference in means is statistically significant or not.
If the statistical test indicates that the difference in means is significant, then the water quality monitor would reject the null hypothesis and conclude that the two water sources have different chlorine concentrations. On the other hand, if the test does not indicate a significant difference, the null hypothesis would be retained, and the monitor would conclude that the two sources are similar in terms of their chlorine concentrations.
Overall, the null hypothesis plays a critical role in hypothesis testing and helps to guide the research process by providing a clear statement of what is being tested and what outcomes are expected.

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Large scale extraction is vital to the economy of mining towns is the correct option.

Large scale extraction is very important to the economy of mining towns because the minerals are very valuable which can be sold at high prices which leads to increase in income of a country but this large extraction also disturbs the surrounding environment.

So we can conclude that Large scale extraction is vital to the economy of mining towns is the right option.

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Answer:

Large scale extraction is vital to the economy of mining towns is right

Explanation:

Answer:

5.89 m/s

Explanation:

Given:

Δy = 1.77 m

v₀ = 0 m/s

a = 9.8 m/s²

Find: v

v² = v₀² + 2aΔy

v² = (0 m/s)² + 2 (9.8 m/s²) (1.77 m)

v = 5.89 m/s

Answer:

force=700N

mass=100kg

acceleration =?

Now,

F=m×a

700=100×a

700÷100=a

7=a

acceleration =7m/s^2 answer!!!

hope this may help you !!!!

Temperature rise will be there in cylinder B more than in cylinder A because of internal energy.

what is internal energy?

The sum of the kinetic and chemical potential energies of all the particles in the system is the internal energy. Particles accelerate and pick up kinetic energy when energy is applied to increase the temperature.

Briefing:

Cylinder A uses the heat it absorbs to both work while expanding and to increase internal energy (or temperature).

While cylinder B solely uses the heat it absorbs to increase its internal energy 

As a result, cylinder B's temperature rise is greater than cylinder A's.

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Answer:

\(\boxed {\boxed {\sf 3.335 \times 10^{-11} \ N}}\)

Explanation:

We are asked to find the force of gravity between 2 objects. The following formula is used to calculate the attractive force of gravity:

\(F_g= \frac{Gm_1m_2}{r^2}\)

G is the universal gravitational constant or 6.67 × 10⁻¹¹ N*m²/kg². 1 mass is 1 kilogram and the other mass is 2 kilograms. R is the distance between the 2 objects, or 2 meters.

Substitute the values into the formula.

\(F_g= \frac {(6.67 \times 10^{-11} \ N*m^2/kg^2)(1 \ kg)(2\ kg)}{( 2 \ m)^2}\)

Multiply the numerator. The units of kilograms squared cancel.

\(F_g= \frac {(6.67 \times 10^{-11} \ N*m^2/kg^2)(2 kg^2)}{(2 \ m)^2}\)

\(F_g= \frac {(6.67 \times 10^{-11} \ N*m^2)(2 )}{( 2 \ m)^2}\)

\(F_g= \frac {(1.334 \times 10^{-10} \ N*m^2)}{ (2 \ m)^2}\)

Solve the exponent in the denominator.

\(F_g =\frac {(1.334 \times 10^{-10} \ N*m^2)}{ 4 \ m^2}\)

The units of meters squared cancel.

\(F_g =\frac {(1.334 \times 10^{-10} \ N)}{ 4}\)

\(F_g=3.335 \times 10^{-11} \ N\)

The force of gravity between the fruit is 3.335 × 10⁺¹¹ Newtons.

A ball launch horizontally from the top of a 70.6-m building lands 188 m from the building's base. The ball will fly for 3.79 seconds.

A displacement is a vector whose length is the shortest distance between a moving point's initial and final positions.

The beginning velocity in the problem is described as horizontal, which implies that the initial vertical velocity(u) is zero. In order to solve for the time of flight using the formula, we also have the height of the building, which is a downward displacement.

We know,

\(Y = ut + \frac{1}{2}at^{2}\)

Here, Y = height of the building =  70.6m, u = 0, a = g = 9.81m/\(s^{2}\). We have to find the time of flight t.

⇒ \(70.6 = 0*t + \frac{1}{2} (9.81)t^{2}\)

⇒ \(t^{2} = 14.3934\)

⇒ \(t = 3.79 s\)

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Explanation:

p=mv

p=10000×15

p=150,000 kgm/s

The spring constant of the trampoline when the mass of the girl and the height upto which she jumps is given is calculated to be 212.55 N/m.

A girl is standing on a trampoline. She weighs 65 kg and has a 3-meter vertical leap.

We have to find the spring constant.

Since by Hooke's law,

F = -kx

Where,

F = force applied by the spring

k = spring constant

x = displacement

We also know that the spring will exert a force equal to the girl's weight.

So, F = mg

Therefore, (-mg) = -kx

65 × (9.81) = k × (3)

k = (65 × 9.81)/3 = 212.55 N/m

Thus, the spring constant of the trampoline is 212.55 N/m.

The given question is incomplete. The complete question is 'A girl is standing on a trampoline. Her mass is 65 kg and she is able to jump 3 m. What is the spring constant for the trampoline?'

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Answer:

Explanation:

The acceleration of an object given it's mass and the force acting on it can be found by using the formula

\(a = \frac{f}{m} \\ \)

f is the force

m is the mass

From the question we have

\(a = \frac{700}{600} = \frac{7}{6} \\ = 1.1666666...\)

We have the final answer as

Hope this helps you

Answer:

Yes you  worked

Explanation:

You may have not seen a good outcome but you did put effort in.

When a force is applied on the car and it doesn't move then it simply means

work wasn't done.

The formula for work is given below:

Work = Force ₓ Displacement

For work to have been done , the applied force must cause the object to

change its position(displacement).

In situations where the force applied doesn't cause a change in position then work can't be calculated. This means no work was done on the car despite the applied force causing him to be tired.

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The projectile will probably keep moving in a straight line and at a constant speed as long as no unbalanced forces are acting on it, according to Newton's law of inertia.

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The right response is B: The core's speed has to be greater.

When bundled into the a fiber-optic cable, optical fibers, which have a diameter similar to a human hair strand, are able to carry more data across greater distances and at a quicker rate than conventional transmission methods. This technology offers fiber-optic phone, TV, and internet services to households and businesses.

Data is sent across fiber-optic cables using light pulses that move quickly. The center fiber is encircled by yet another layer of glass, referred to as the "cladding," which forces light to constantly bounce off of the walls of a cable instead of leaking out at the edges, allowing the photon to travel further without attenuation.

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The complete question is :

An optical fiber is used to send light long distances down the core. Note that the fiber does not need to be in a straight line. In an optical fiber, what can be said about the speed of light in the core and the cladding?A)The speed must be higher in the cladding.

B)The speed must be higher in the core.

C)The speeds must be the same.

D)The speed in the cladding could be higher or lower than that in the core.

The right response is B: The core's speed has to be greater.

When bundled into the a fiber-optic cable, optical fibers, which have a diameter similar to a human hair strand, are able to carry more data across greater distances and at a quicker rate than conventional transmission methods. This technology offers fiber-optic phone, TV, and internet services to households and businesses.

Data is sent across fiber-optic cables using light pulses that move quickly. The center fiber is encircled by yet another layer of glass, referred to as the "cladding," which forces light to constantly bounce off of the walls of a cable instead of leaking out at the edges, allowing the photon to travel further without attenuation.

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The complete question is :

An optical fiber is used to send light long distances down the core. Note that the fiber does not need to be in a straight line. In an optical fiber, what can be said about the speed of light in the core and the cladding?

A)The speed must be higher in the cladding.

B)The speed must be higher in the core.

C)The speeds must be the same.

D)The speed in the cladding could be higher or lower than that in the core.

It is accurate to say that circulation, sensation, and movement should be checked before applying any splint, and afterward, only if the victim reports a problem.The given statement is true.

It is true that circulation, sensation, and movement should be checked before you apply any splint, and afterward, only if the victim reports a problem. Splinting is a procedure that involves immobilizing a broken bone in order to aid in its recovery. The goal of splinting is to immobilize the affected limb so that it is unable to move.

It is, however, critical that a first aider evaluate the circulation, sensation, and movement of the affected limb before applying the splint. This will ensure that the splinting procedure does not cause more harm than good if there is already damage that could be exacerbated

The best way to treat fractures and breaks is to stabilize the injury site to prevent further damage. Splinting is a technique for immobilizing a broken bone or limb that is both effective and easy. It's critical to examine the injured limb for circulation, sensation, and movement before applying a splint to ensure that the injury isn't made worse. After a splint has been applied, the injured person's circulation, sensation, and movement should be checked again only if they report a problem. Finally, if there is any question about the severity of the injury, it is advisable to seek medical attention immediately.The given statement is true.

Therefore, it is accurate to say that circulation, sensation, and movement should be checked before applying any splint, and afterward, only if the victim reports a problem.

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Harlow Shapley studied globular clusters, measured distances to them, analyzed their distribution, and performed calculations which showed Sun is not at the center of the Milky Way.

Harlow Shapley made several important observations that indicated that the Sun is not at the center of the Milky Way. Here's a step-by-step explanation of his findings:

1. Shapley studied globular clusters, which are large groups of stars densely packed together in a spherical shape. He noticed that these clusters were not distributed uniformly around the Sun.

2. He measured the distances to these globular clusters using a method called the period-luminosity relation of Cepheid variable stars, which allowed him to determine their distances from the Sun based on their brightness and pulsation periods.

3. By analyzing the distribution of globular clusters, Shapley found that they were concentrated in one region of the sky, which indicated the presence of the Milky Way's center.

4. His calculations showed that the Sun is located about 30,000 light-years away from the center of the Milky Way, rather than being at the center as previously believed.

In conclusion, Harlow Shapley's observations of globular clusters and their distribution in the sky led him to the realization that the Sun is not at the center of the Milky Way, but rather at a significant distance from it.

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