What is the wavelength of the waves you create in a swimming pool if you splash your hand at a rate of 3.00 Hz and the waves propagate at 0.550 m/s?

Answer:

b.  1 m

Explanation:

the distance from one crest to the next  is 1λ

So, the distance from one crest to the next  1 m

λ = 1 m

For an object's sound to not be shifted in frequency, the object must be either stationary or moving directly towards or away from the observer at a constant speed.

The Doppler effect causes a change in the perceived frequency of the sound waves received by the observer, which can make the sound appear higher or lower in pitch depending on the direction of the relative motion.

To ensure that the sound from an object is not shifted in frequency, the object and the observer must have no relative motion with respect to each other. This means that the object must either be stationary with respect to the observer or moving directly towards or away from the observer at a constant speed.

If the object is moving towards the observer, the frequency of the sound waves will appear higher than the original frequency, but if the object is moving away from the observer, the frequency of the sound waves will appear lower than the original frequency

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Answer:

Explanation:(a) What is her weight on earth? (b) What are her mass and her weight on the moon, where g = 1.62 ms–2? Solution: (a) On earth. W = m g = 55.0 x 9.8 = 539 N. (b) On moon, her mass remains the same, but the acceleration due to gravity

Explanation:

Given : m=600kg h=20 m

Time of operation t=2 min =120 s

Work done in lifting a box W=mgh=600×10×20=120000

Power required P=

t

W

=

120

120000

=1000 watts

13.The color with the longest wavelength is option A. Red.

14.The sky appears blue due to option D. Scattering of light.

Red light has a longer wavelength compared to yellow and blue light.The color that has the longest wavelength is red. The color of the sky appears blue due to scattering of light. The distance between one peak and the next in a series of waves, particularly electromagnetic waves traveling through space or along a wire is referred to as wavelength.

The wavelength of light, for example, determines its color. Red light has the longest wavelength, followed by orange, yellow, green, blue, and purple, with violet light having the shortest wavelength. When light is reflected off a surface or passes through a medium, it can be deflected in various directions, a phenomenon known as scattering of light.

The Earth's atmosphere scatters sunlight in all directions, but the shorter blue wavelengths are scattered more than the longer wavelengths. As a result, we perceive the sky as blue during the day.  The light becomes scattered when it interacts with particles in the atmosphere, causing the sky to appear blue during the day and red during sunset or sunrise. The scattering of light is the process that causes the sky to appear blue.

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The wavelength, photoperiod, and intensity of solar radiation all have significant impacts on the environment and living organisms, affecting various biological processes, behaviors, and ecological patterns.

The wavelength, photoperiod, and intensity of solar radiation that falls in a given area in a unit of time will influence various factors.

Firstly, the wavelength of solar radiation determines the color and energy of the light. Different wavelengths have different effects on the environment and living organisms. For example, shorter wavelengths such as ultraviolet (UV) radiation can cause sunburns and damage DNA, while longer wavelengths such as infrared (IR) radiation produce heat.

Secondly, the photoperiod, which refers to the duration of daylight in a day, affects the growth and development of plants, animals, and other organisms. Photoperiod influences processes like flowering, migration, and hibernation. Changes in photoperiod can trigger specific biological responses in organisms, regulating their life cycles and behaviors.

Lastly, the intensity of solar radiation refers to the amount of energy received per unit area in a given time. Higher intensity levels provide more energy, which can affect photosynthesis, temperature regulation, and metabolic activities. Intensity variations also influence the distribution and abundance of species in an ecosystem, as organisms adapt to different energy levels.

In conclusion, the wavelength, photoperiod, and intensity of solar radiation all have significant impacts on the environment and living organisms, affecting various biological processes, behaviors, and ecological patterns.

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The extension of the spring, L, when the balloon is in equilibrium is 0.63 m.

Weight of the balloon = 15 g = 0.015 kg

Density of helium = 0.180 kg/m³

Volume of balloon = 6.0 m³

Force constant of spring, k = 120 N/m

Density of air = 1.29 kg/m³

Extension of the spring, L, when the balloon is in equilibrium using Hooke's law, F = kx

Let's first find the buoyancy force on the balloon when it is filled with helium and determine its weight. Buoyancy force = weight of the air displaced by the balloon

Buoyancy force = Density of air × volume of the balloon × gravitational acceleration = 1.29 kg/m³ × 6.0 m³ × 9.8 m/s² = 75.768 N

Weight of the balloon = Mass of the balloon × gravitational acceleration= 0.015 kg × 9.8 m/s² = 0.147 N

Therefore, the net force acting on the balloon when it is filled with helium is given by

Net force = Buoyancy force - Weight of balloon = 75.768 N - 0.147 N = 75.621 N

This net force acts upward on the balloon.

Now, using Hooke's law, we can determine the extension of the spring, L, when the balloon is in equilibrium.

F = kx, where F is the net force acting on the balloon, and k is the force constant of the spring.

Substituting the values of F and k, we get75.621 N = 120 N/m × L

Therefore,

L = 75.621 N / 120 N/m = 0.63 m

Therefore, the extension of the spring, L, when the balloon is in equilibrium is 0.63 m.

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The action-oriented objective in a SMART goal setting system is option D) Increase my distance by one-half mile every other week.

This objective is specific, measurable, achievable, relevant, and time-bound. It is specific because it defines a clear action to be taken (increasing distance), measurable because it includes a specific metric (one-half mile), achievable because it is realistic to increase distance gradually, relevant because it aligns with the goal of completing a marathon, and time-bound because it specifies a regular interval (every other week) for progress tracking. Options A, B, and C are also specific and measurable but lack the regular interval and gradual progression aspects of a SMART goal.

In a SMART goal setting system, an action-oriented objective is one that focuses on specific actions to achieve the desired outcome. Among the given options, B) Run on the trail 4 times a week is the most action-oriented objective. This objective clearly outlines the action (running on the trail) and the frequency (4 times a week), making it easier to track progress and achieve the goal. The other options focus more on outcomes or results, which are important aspects of a goal, but they do not explicitly state the specific actions needed to reach those outcomes.

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Answer:

its b

Explanation:

b

He throws a baseball 59 m to brandon at second base, creating a 30 degree angle east of south. brandon then turns and throws baseball 55 m east to first base the displacement  of the baseball is S = 89.75m

The following equation represents the ball's vertical velocity:

v2 = u₂- sinα2gh

The vertical component of the velocity vector at time t is denoted by v2.

u2 = initial velocity.

α = throwing angle.

-10 m/s2 if you consider the upward direction to be positive) is the acceleration caused by gravity.

t = time.

The ball's vertical velocity is zero when it reaches the highest point along its path. In order to find the initial velocity, we can use the equation for vertical velocity:

v2 = u₂- sinα2gh

0= u₂×sin(30°) 2 ×10m/s²×55

1100 sin(30°) = u2

1100/2 = u2

550 = u2

u = 23.4 m/s

At 23.4 m/s, the ball flies out of your grasp.

t = d/s

= 59/23.4

= 2.5 sec

Displacement

S = ut + 1/2 gt2

= 23.4×2.5 + 5×6.25

= 58.5 + 31.25

= 89.75 m

S = 89.75 m

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Answer:

Example for 1. Law of Inertia

Falling forward while getting down from a moving bus:

When a passenger gets down from a moving bus, their upper body is still in motion, and when it comes in contact with the ground which is at rest, their body topples forward due to the inertia of motion.

Example for 2. Law of Acceleration

Hitting a Ball:

A ball develops a certain amount of acceleration after being hit. The acceleration with which the ball moves is directly proportional to the force applied to it. This means that the harder you hit the ball, the faster it will move

Example for 3. Law of Interaction

Walking:

Whenever people walk, their foot exerts a force on the ground. The ground then exerts an equal force which points in the opposite direction. It is this force (force due to friction) that allows the person to move forward.

Example for 4. Work and Power

As P=F.v

Cycling:

A person riding a bicycle possesses some amount of energy. This energy is utilized by the cyclist to do work on the paddles of the bicycle by applying some force and enabling the bicycle to move forward.

Example for 5. PE to KE

An apple hanging on a tree:

It has the potential energy due to its raised position. When the apple falls from the tree. The falling apple has the kinetic energy. Thus the potential energy stored in the apple in its raised position changes into the kinetic energy when the apple is falling. This kinetic energy does work on stone as the apple strikes the stone, and it makes the stone to move into the ground.

Example for 6. Sound and Light

TV:

We see TV takes electrical energy as input and produces. light energy, sound energy.

Example for 7. Heat and Electricity

The electric heaters:

An electric heater is an electrical device that converts an electric current into heat.

The charge on the moving particle is -5.35 x \(10^{-21}\) C and the potential difference between the two locations is 1.29 x 10²V.

What is the charge?

Unknowns: The charge on the moving particle and the potential difference between the two locations.

Formula: The work done by an electric field on a charge is given by:

W = qΔV

where W is the work done, q is the charge, and ΔV is the potential difference.

The electrical potential energy of a charge in an electric field is given by:

PE = qV

where PE is the electrical potential energy, q is the charge, and V is the potential difference.

The electric field strength is given by:

E = ΔV/Δx

where E is the electric field strength, ΔV is the potential difference, and Δx is the distance moved by the charge.

Solution:

The work done by the electric field is equal to the change in electrical potential energy:

W = ΔPE = -6.9 x \(10^{-19}\)J

The electric field strength is given by:

E = ΔV/Δx = 325 N/C

The charge on the moving particle can be found using the formula:

W = qΔV

q = W/ΔV = (-6.9 x \(10^{-19}\) J)/(325 N/C x 4.0 m) = -5.35 x \(10^{-21}\) C

The negative sign indicates that the charge is negative.

The potential difference between the two locations can be found using the formula:

ΔV = -W/q = (6.9 x \(10^{-19}\) J)/(-5.35 x \(10^{-21}\) C) = 1.29 x 10² V

Therefore, the charge on the moving particle is -5.35 x \(10^{-21}\) C and the potential difference between the two locations is 1.29 x 10² V.

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Complete question is: A charge moves a distance of 4.0 m in the direction of a uniform electric field whose magnitude is 325 N/C. As the charge moves, its electrical potential energy decreases by 6.9 x \(10^{-19}\) J.  the charge on the moving particle is -5.35 x \(10^{-21}\) C and the potential difference between the two locations is 1.29 x 10² V.

450 N

explanation :

1 kg (mass) = 10 N (weight)

so,

45 kg = 450 N

Answer:

60 000 J

Explanation:

The PE will be converted to KE entirely (if the lowest point is ground level)

Answer:

The horizontal component of her velocity is approximately 1.389 m/s

The vertical component of her velocity is approximately 7.878 m/s

Explanation:

The given question parameters are;

The initial velocity with which Margaret leaps, v = 8.0 m/s

The angle to the horizontal with which she jumps, θ = 80° to the horizontal

The horizontal component of her velocity, vₓ = v × cos(θ)

∴ vₓ = 8.0 × cos(80°) ≈ 1.389

The horizontal component of her velocity, vₓ ≈ 1.389 m/s

The vertical component of her velocity, \(v_y\) = v × sin(θ)

∴ \(v_y\) = 8.0 × sin(80°) ≈ 7.878

The vertical component of her velocity, \(v_y\) ≈ 7.878 m/s.

The football lands approximately 46.23 meters down the field.

When a team is backed up 4th and long, it means they are on their own side of the field and have a long distance to go in order to get a first down. In this situation, the Eagles have decided to punt the football.

To determine how far down the field the football lands, we need to use basic principles of projectile motion. The ball is kicked with an angle of 39 degrees to the ground and an initial speed of 31 m/s.

First, we can break down the initial velocity into its horizontal and vertical components. The horizontal component is given by the formula: Vx = V * cos(theta), where V is the initial speed and theta is the launch angle. Plugging in the values, we have Vx = 31 * cos(39°) = 24.07 m/s.

Next, we can find the vertical component of the initial velocity. The vertical component is given by the formula: Vy = V * sin(theta), where V is the initial speed and theta is the launch angle. Plugging in the values, we have Vy = 31 * sin(39°) = 18.91 m/s.

The time it takes for the football to land can be found using the vertical component of the velocity and the acceleration due to gravity. The equation to use is: y = Vy * t - 0.5 * g * t^2, where y is the vertical distance, Vy is the vertical component of the velocity, t is the time, and g is the acceleration due to gravity.

We know that y is 0 because the football lands on the ground. Solving for t, we get: 0 = 18.91 * t - 0.5 * 9.8 * t^2. Solving this quadratic equation, we find t = 1.92 s.

Finally, we can find the horizontal distance traveled by the football using the horizontal component of the velocity and the time. The equation to use is: x = Vx * t, where x is the horizontal distance, Vx is the horizontal component of the velocity, and t is the time. Plugging in the values, we have x = 24.07 * 1.92 = 46.23 m.

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Answer:8.3mins

Explanation:

S=Vt

where V=average speed

S=4000m V=8m/s

4000=8×t

t=4000/8

t=500s

t=500/60

t=8.3min

500 sec

8 min 20 sec

Hi there !

8 m ................ 1 s

4000 m ........ x s

x = 4000m×1s/8m = 500 sec = 8 min 20 sec

Good luck !

Answer:

30MPH

Explanation:

30/5 = 6 x 5 = 30 mph

Answer:  B

Explanation:  AN increase in heat out

Answer:

4.61

60/13=4.61 so that is your answer : )

Separating nails is a fairly straightforward process.

A magnetic field is an invisible force field created by a magnet or electric current. It is a type of physical phenomenon that has the ability to attract or repel objects. Magnetic fields are formed by magnetic materials such as iron, steel, cobalt, nickel and some rare earth elements. Magnetic fields have the potential to cause motion, generate electricity and create magnetic forces. They are essential for technologies such as motors, generators, MRI machines, and transformers.

First, place the nails in a bucket of water, and the iron nails will sink to the bottom. Then, use a magnet to collect the iron nails from the bottom of the bucket. Finally, pour off the water and the remaining aluminum nails will be left in the bucket. By taking advantage of the differences between iron and aluminum, separating nails is an easy way to separate the two materials.

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the total charge passing a given point in the conductor \(12000\pi C\)

What is charge ?

In physics, rate, additionally called electric powered rate, electric rate, or electrostatic rate and symbolized q, is a feature of a unit of count number that expresses the quantity to which it has greater or fewer electrons than protons. In atoms, the electron incorporates a poor fundamental or unit rate; the proton incorporates a fine rate. The varieties of rate are identical and opposite.

Given

I = \(100sin (120 \pi t )\)

t = 0 to t = 1/240s

d Q = I dT = \(100sin (120 \pi t ) dt\)

Q = \(100*120\pi\)

Q = \(12000\pi C\)

the total charge passing a given point in the conductor \(12000\pi C\)

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The induced current flows clockwise in the loop of wire. When a bar magnet is held stationary above a circular loop of wire with its north pole pointing downward, as viewed from above, the induced current in the loop of wire will flow counter clockwise.

This is due to Lenz's law, which states that the direction of the induced current flows clockwise in the loop of wire. current will be such that it opposes the change in magnetic flux that is producing it. In this case, the counterclockwise current creates a magnetic field opposing the downward magnetic field of the north pole of the bar magnet. the direction of the magnetic field will be down in the plane at the center. The magnetic field produced by a current-carrying wire loop will be in a single direction at the center. The direction of magnetic field at the center of a current-carrying circular loop is perpendicular to the plane of the loop.

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Answer:

1.63 X 10^-7N

Explanation:

From the given position -time graph it is clear that, Amiya covers a distance of 40 meters within 12 seconds.

A position - time graph is used to determine the change in position with respect to the time. We can calculate the average speed of the object from the position -time graph.

Speed is the measure of distance covered within unit time. Hence, it is the ratio of change in position to the change in time. Speed has the unit of m/s .It can also defined as the rate of displacement of an object.

From the given plot, it is clear that the Amiya is 40 meters far after 12 seconds run. After that she stops and the position gets constant. Hence, option A is correct.

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Answer: the initial velocity represented by the graph is 5 m/s

Explanation:

Initial velocity of the object represented by the graph is 5 m/s.

Graph is not seen tin this problem but the question can be like this as shown in the picture.

In this picture we can see that Velocity is increasing linearly with the time. Initially at t = 0 velocity of the object is 5m/s and velocity increases with time. Velocity becomes 10m/s at 1st second, it becomes 15 for 3rd second, it becomes 20 for 4th second and final becomes 25m/s for 5th second.

Acceleration is rate of change of velocity with the time. In this graph we can see that velocity is changing with time hence body is accelerating.

Initial velocity is nothing but the velocity of the object with which it was started. From the graph we can see that the object has started with velocity 5m/s at 0th second(initial stage).

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The weight of a rock with a mass of 3.6 kilograms will be 35.3 N. The weight of matter is found as the product of the mass and the gravitational acceleration.

Mass is a numerical measure of inertia, which is a basic feature of all matter. It is, in effect, a body of matter's resistance to a change in speed or position caused by the application of a force.

In the International System of Units (SI), the kilogram is the unit of mass.

The given data in the problem is;

The weight of a rock is,\(\rm W\)

The mass of rock is,\(\rm m= 3.6 \ kilograms\)

The weight of matter is found as the product of the mass and the gravitational acceleration;

\(\rm W= mg \\\\ \rm W= 3.6 \times 9.81 \\\\ W=35.3 \ N\)

Hence, the weight of a rock will be 35.3 N.

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Answer:

The observer hears a loud sound

Explanation:

In order to know if the observer hears a loud or a quiet sound, you need to know if there is a constructive or destructive interference between the sound waves of the loudspeakers.

You first calculate the distance between the observer and the loudspeakers.

The distances are given by:

d1: distance to loudspeaker A = 2.10m

d2: distance to loudspeaker B

\(d_2=\sqrt{(3.20m)^2+(2.10m)^2}=3.827m\)

Next, you calculate the wavelength of the sound waves by using the following formula:

\(\lambda=\frac{v_s}{f}\)

vs: speed of sound =  343 m/s

f: frequency of the waves = 400Hz

λ: wavelength

\(\lambda=\frac{343m/s}{400Hz}=0.8575m\)

Next, you calculate the path difference between the distance from the observer to the loudspeakers:

\(\Delta d=3.827m-2.10m=1.727m\)

You obtain a constructive interference (loud sound) if the quotient between the wavelength of the sound and the difference path is an integer:

\(\frac{\Delta d}{\lambda}=\frac{1.727m}{0.857}\approx2\)

Then, there will be a constructive interference, and the sound who the observer hears is loud.

The width of the central bright fringe becomes wider in the resulting diffraction pattern of a single-slit diffraction experiment.

Diffraction of light is the act of bending light around corners such that it spreads out and brightens areas where a shadow is predicted. In general, it is difficult to discern between diffraction and interference because both take place concurrently. The silver lining we observe in the sky is due to light diffraction. When the sunshine breaks through or catches the cloud, a silver lining appears in the sky.

We can investigate the phenomenon of light bending, or diffraction, in the single-slit diffraction experiment. This phenomenon permits coherent light from a source to interfere with itself and produce the diffraction pattern, a discernible pattern on the screen. Diffraction is visible when the sources are small enough to be compared to the wavelength of light.

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As the rollercoaster moves from point A to point B, the correct answer is option c: The kinetic energy increases and the potential energy decreases.

At point A, the rollercoaster is at its highest position, which corresponds to the maximum potential energy and minimum kinetic energy. As the rollercoaster moves downwards towards point B, it gains speed and its height decreases.

This results in a decrease in potential energy since the height is decreasing. At the same time, the rollercoaster's speed increases, leading to an increase in kinetic energy.

The conservation of energy principle states that the total mechanical energy (the sum of potential energy and kinetic energy) of a system remains constant in the absence of external forces.

In this case, as the rollercoaster moves from point A to point B, the decrease in potential energy is equal to the increase in kinetic energy, keeping the total mechanical energy constant.

Therefore, the correct answer is option c: The kinetic energy increases and the potential energy decreases.

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