A wave has a frequency of 1000 Hz. If the wavelength is 0.5 m, how fast is the wave
traveling?

Answer:

3 seconds

Explanation:

Applying,

Applying,

v = u±gt................ Equation 1

Where v = final velocity, u = initial velocity, t = time, g = acceleration due to gravity.

From the question,

Given: v = 0 m/s ( at the maximum height), u = 30 m/s

Constant: g = -10 m/s

Substitute these values into equation 1

0 = 30-10t

10t = 30

t = 30/10

t = 3 seconds

The magnitude of the impulse that the plate gives to the bullet is 6.7 N

We know change in momentum horizontally = m v cos Ф2 - m u cos Ф1

and change in momentum vertically = m v sinФ2 - (- m u sinФ1)

where, m = mass = 20g = 0.02 kg

v = final velocity = 320 m/s

u = initial velocity = 350 m/s

Ф1,Ф2 = angle = 30 degrees

Putting these values we get,

Change in momentum horizontally = - 0.5196 kg-m/s

Change in momentum vertically = 6.700 kg-m/s

Magnitude of change in momentum is : \(\sqrt{-0.5196^{2} + 6.7^{2} } = 6.7 N\)

So the magnitude of the impulse that the plate gives to the bullet is 6.7 N

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Momentum is a product of the mass and velocity of particles in motion while impulse is the rate of change of the momentum of particles/objects when a force acts on the object.

The impulse of the collision in system A is twice the impulse of the collision in system B

Impulse is given as J = F.dt

In case of impulse 1,

it is F(1-0.5) = 4* 0.5 = 2 Ns

In case of impulse 2,

it is = 2(2.5 - 1.5) = 2Ns

We saw that, both the impulses are calculated to be 2Ns.

Therefore, both the impulses in the graph are same.

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The distance travelled by the athlete given the play lasted for 5.0 seconds is 21.25 m

We'll begin by listing out the parameters given from the question. This is given below:

From the given parameters, we can determine the distance as follow:

s = ut + ½at²

s = (0 × 5) + (½ × 1.7 × 5²)

s = 0 + 21.25

s = 21.25 m

From the above calculation, we conclude that the athlete ran 21.25 m during the 5 seconds play.

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Answer:

The energy efficiency represents the things you can do with some amount of energy, and if you can do more with less, than it reduces the energy consumption.

Explanation:

The answer to this question is actually very simple. Imagine that you use only the half of the energy you produce, an efficiency of 50%. Lets say you need 5kJ, so you would need to produce 10kJ, because you can consume only the half. Now, imagine you increase the efficiency, you use exactly what you can generate, (efficiency of 100%). In this case, if you needed only 5kJ you would need to generate only 5kJ.

Answer:

Lithification is the answer.

Answer:

3600 km

Explanation:

The light travels 2 times the distance  (there and back)

    speed of light = 3 x 10^8 m/s         24 ms = .024 s

         3 x 10^8 m/s * .024 s  = 2 d

               d = 3 600 000  meters     3600 km

Answer:

The radius of the new planet is ~2.04 * 10⁶ m, or 2,041,752 m.

Explanation:

We can use Newton's Law of Universal Gravitation:

Let's look at Newton's 2nd Law:

We can set these equations equal to each other:

The mass of the second mass (astronaut) cancels out. We are left with:

We are solving for the radius of the new planet, so we can rearrange the equation:

Substitute in our known values given in the problem (G = 6.67 * 10⁻¹¹ ; M = 7.5 * 10²³ ; a = 12).

The radius of the new planet is ~2.04 * 10⁶ m.

I think that you need the gravitational acceleration of mercury

so we will use Newton's gravitational law :

gravitational acceleration = \(\frac{G * m}{r^{2} }\)

G is the gravitational constant = G = 6.673×10^-11 N m^2 kg^-2

after substitution :

6.673×10^-11 * 3.2x10^23 / (2.43x10^6)^2

using calculator :

gravitational acceleration of mercury = 3.61625 m/s^2

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The graph that corresponds to 0.1 s in one complete cycle is graph D.

option D is the correct answer.

The period of a wave is the time for a particle on a medium to make one complete vibrational cycle. Period, being a time, is measured in units of time such as seconds, hours, days or years.

Also, the period of a wave is the amount of time it takes for a wave to complete one wave cycle or wavelength.

From the given parameter, the coil rotates 10 times in one second. The period of the coil is calculated as;

Period = 1 s / 10

Period = 0.1 s

From the graphs, the only option that has one complete cycle in one second is option D.

Check option D, half cycle is 0.05 s and one full cycle is 0.1 s.

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A powerful trend for United States businesses over the past few decades has been A. decreasing the number of hierarchical layers.

Correct answer is A. decreasing the number of hierarchical layers

This is driven by a desire for increased efficiency, agility, and responsiveness. By reducing the number of layers, businesses can streamline decision-making processes, eliminate unnecessary bureaucracy, and improve communication. This trend has been particularly prominent in industries that are rapidly changing or facing increased competition, where the ability to adapt quickly is critical to success. Thinking about hierarchy in historical context, we will inevitably find that the concept has existed since humans started living in organised formations, which, considering that we are social animals, is basically since ever. We naturally tended towards hierarchy long before we spent any time contemplating the most efficient and effective way to organise ourselves as we do nowdays.

So, A powerful trend for United States businesses over the past few decades has been A. decreasing the number of hierarchical layers.

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Answer:

225

Explanation:

Answer:

I am doing the test now let me make sure then I tell you ok, just a second..

225 is correct

Explanation:

Answer:

The atomic number is typically located above the element symbol. ... The atomic mass number is equal to the number of protons plus neutrons, which provides the average weight of all isotopes of any given element. This number is typically found beneath the element symbol.

Explanation:

The periodic table is the systematic arrangement of the elements in the increasing order of their atomic number.

The periodic table is the organized arrangement of all the elements, arranged in the increasing order of their atomic numbers.

The elements are grouped into the s-block, p-block, d-block and the f-block elements in the periodic table.

The atomic number is typically located above the element symbol. The atomic mass number is equal to the number of protons plus neutrons,

which provides the average weight of all isotopes of any given element. This number is typically found beneath the element symbol.

Thus the periodic table is the systematic arrangement of the elements in the increasing order of their atomic number.

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The  original distance between the plates should be decreased by half in order to restore the potential of the capacitor to its original value.

The formula for capacitance(kW) is given as: C = εA/d

where C is the capacitance, ε is the permittivity of the material between the plates, A is the area of each plate, and d is the distance between the plates.

In this case, we have two slabs of different dielectric strengths and thicknesses inserted between the plates of a parallel-plate capacitor(kW).

Let the capacitance with no dielectric material be C_(0). When the dielectric slabs are inserted, the capacitance becomes: C = (4εA)/(2 mm) + (6εA)/(5 mm) C = (8εA + 12εA)/(10 mm) C = (20εA)/(10 mm) C = 2εA The potential difference across the capacitor is given by: V = Q/C

where V is the potential difference and Q is the charge on the capacitor(kW). If we assume that the charge on the capacitor remains constant, then the potential difference will be proportional to the capacitance.

Therefore, to restore the potential of the capacitor to its original value, we need to change the distance between the plates such that the capacitance becomes C_(0). C_(0) = εA/d_(0) where d_(0) is the new distance between the plates. Setting C_(0) equal to 2εA,

we get: C_(0) = 2εA = εA/d_(0) d_(0) = (1/2) × d

where d is the original distance between the plates.

Therefore, the distance between the plates should be decreased by half in order to restore the potential of the capacitor to its original value.

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Answer:

80%

Explanation:

Answer:

-2 m/s²

Explanation:

The force F1 is equal and opposite to the downward force thus, F1 is equal to 60 N. The force F2 is inclined to 30 ° from leftward force and it is equal to 38.97 N in magnitude.

Force is an external agent acting on a body to deform it or to change its state of motion or rest. Force is a vector quantity and it is characterised by its magnitude and direction.

If two forces acting on a body from the same directions, then the net force will be the sum of these two forces. If they are acting from opposite directions, they will cancel each other in magnitude.

The force F1 is equal and opposite to the force acting downward. Thus its magnitude is 60 N. The force F2 is inclined to 30 ° from horizontal direction.

F2 = 45 cos 30 = 38.9 N.

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When a comet comes near the Sun, its volatile ice sublimates and changes directly from the solid to the gas phase.

Comets are cosmic snowballs of frozen gases, dust, and rocks, orbiting the Sun. When frozen, comets are the size of a small town. As the comet's orbit approaches the Sun, it heats up, spewing gases and dust onto its giant glowing head, larger than most planets.

Comets vaporize when their orbits come to close to the Sun. Comets do not melt in the strict sense of chinging to liquid. However, since they are made up partly of ice and other volatile compounds, comets vaporize (turn directly to gas) when warmed in the vacuum of space by orbiting near the sun.

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If the theory that novae occur in close binary systems is correct, then novae should show a higher frequency in regions with higher densities of binary stars.

Novae occur when a white dwarf in a binary system accretes matter from its companion star, causing a thermonuclear explosion on the surface of the white dwarf. Therefore, if this theory is correct, novae should be more common in binary star systems where there is a close companion star to provide the necessary accretion. Single stars do not have a close companion to provide such accretion, and therefore novae should be less common in single star systems.

Novae are thought to occur in close binary systems, where one star (typically a white dwarf) is drawing material from its companion star. As this material accumulates on the white dwarf's surface, it can ignite and cause a thermonuclear explosion, resulting in the brightening of the system known as a nova. If this theory is correct, we should expect to see a higher frequency of novae in regions where there are more binary star systems.

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Explanation:

The potential energy of an object has the following formula

         Potential energy = mgh

      where m = mass of the object

                   g = acceleration due to gravity

                   h = height of the object

This means that the potential energy of an object depends upon its mass, acceleration due to gravity, and height.

In the given situation we have a bucket full of water. If the mass and acceleration due to gravity are not changed, the only way the potential energy can be decreased is by reducing the height of the bucket full of water.

This can be done by: -

         (i) Lifting the bucket full of water in such a way that you

             decrease its height as compared to the bench.

        (ii) Put the bucket full of water on a stool whose height is

            lower than the bench.

Answer:

1.By decreasing it's contents- this decreases the weight of the bucket thus decreasing the potential energy of the bucket.

2.By decreasing the height of the bench we have decreased the amount of potential energy stored in the bucket

Answer:

True

Explanation:

When no net force is applied to a moving object, it still comes to rest because of its inertia.

It is a true statement that an object wants to maintain its state of motion because it has mass, as per the first law of the motion due to the effect of inertia an object tries to maintain its state of motion whether it would be a state of motion or the state of the rest.

According to Newton's first law, until pushed to alter its condition by the intervention of an external force.

Every object will continue to be at rest or in uniform motion along a single direction.

It is true that an item wants to keep moving because it has mass. According to the first law of motion, this is because of the influence of inertia, which causes an entity to try to keep moving whether it is in movement or at standstill.

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In simple harmonic motion, an object oscillates back and forth around an equilibrium position with a motion that is periodic and repetitive. The object experiences a restoring force that is proportional to its displacement from the equilibrium position.

As a result, the object moves with an acceleration that is also proportional to its displacement, and this leads to periodic changes in its potential energy and kinetic energy.

The speed of the object is greatest when its displacement from the equilibrium position is zero, and when the magnitude of the acceleration is a minimum. This occurs when the object is at the maximum displacement, and is about to change direction, or when the object is at the equilibrium position, where the acceleration and velocity are both zero. At these points, the object has its maximum speed, which is determined by its amplitude and frequency of oscillation.

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Space telescopes like Hubble and Chandra provide vital data on distant stars and galaxies.

Space-based telescopes, particularly those designed for observations across various wavelengths, provide crucial data for advancing our understanding of distant stars and the universe. Among them, the Hubble and Chandra telescopes are major contributors to this field.

1. Hubble Space Telescope:  The Hubble Space Telescope captures images and data about distant stars, enabling astronomers to study their lifecycle, characteristics, and evolution, as well as explore star-forming regions and galaxy dynamics. Its deep-field observations have also provided remarkable insights into the early universe and distant galaxies.

2. Chandra X-ray Observatory: The Chandra X-ray Observatory is designed to detect and analyze X-ray emissions from celestial objects, providing crucial insights into high-energy processes and phenomena associated with stars, such as supernovae and black holes. Chandra's observations have greatly contributed to our understanding of stellar evolution, X-ray binary systems, and other X-ray sources both within and beyond our galaxy.

Therefore, Important information on far-off stars and galaxies is provided by space telescopes like Hubble and Chandra.

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Answer:

Liquid

Explanation:

To turn liquid into gas, you add heat, to remove heat from gas, you make liquid.

Since F₁ is directed towards the south and F₂ is directed towards the east, we can use the Pythagorean theorem to find the magnitude of the net force:

 F = √(F₁² + F₂²)

The magnitude of the net electrostatic force on the test charge in newtons is given by the formula: F= k(q1q2)/r²

where k is Coulomb's constant, q1 is the charge on particle a, q2 is the charge on particle b, and r is the distance between the test charge and the other two charges.

Using the given values, we can find the magnitude of the net electrostatic force on the test charge as follows: F₁

= k(2e)(-2e)/(0.0200m)²F₂

= k(2e)(3e)/(0.0200m)²

The net force is obtained by taking the vector sum of F₁ and F₂.

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Correct question:

The acceleration due to gravity at the surface of the moon is 1.6 m/s2. If the radius

of the moon is 1.74 x 10^6 m, calculate the mass of the moon

Answer:

M = 7.3 × 10^22

Explanation:

Given the following :

Acceleration due to gravity (g) at surface of the moon = 1.6m/s^2

Radius of the moon (r) = 1.7 × 10^6 m

The acceleration due to gravity of large bodies such as the moon is calculated using the formula :

g = GM / r^2

Where;

g = acceleration due to gravity

G = the universal gravitational constant, G = (6.673 x 10^-11)

M = mass

r = the distance from the center of mass of the body

Therefore, to calculate mass M from the formula :

M = gr^2 / G

Inputting our values :

M = [1.6 × (1.7×10^6)^2] / 6.673 x 10^-11

M = [1.6 × (3.0276×10^12)] / 6.673 x 10^-11

M = (4.84416 × 10^12) / 6.673 × 10^-11

M = 0.7259 × 10^(12+11)

M = 0.7259 × 10^23

M = 7.259 × 10^23

M = 7.3 × 10^22

Answer:

Explanation:

Here,

m = 3 Kg

a = 0 m/s^2 (velocity is constant so the acceleration is zero)

We have,

F = ma

or, F = 3 x 0

or, F = 0 N

Constant velocity can always be associated with a zero net force.

The given statement "in a pitch situation, a vehicle's weight moves to either the right or left of the vehicle" is false because, in a yaw situation, a vehicle weight moves to either the right or left around the center of gravity.

The Society of Automotive Engineers (SAE) describes Vehicle Dynamics as the relationship between the forces exerted on a vehicle and the resulting motion. Three important motions of a vehicle are pitch, yaw, and roll.

Thus, when a vehicle's weight moves either to right or left of the vehicle, it indicates a yaw situation.

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