a watermelon explodes into three equal masses. one mass moves east at 15.0 m/s. if a second mass moves at a velocity of 10.0 m/s 45.0o s of e, what is the velocity of the third mass? (hint: the total momentum is zero, so how will your vector arrows add up?)

The true statements are a) The power supply will only deliver up to 500 W of power and operate very efficiently and b) The 1000 W power supply will last longer than, for example, a 750 W power supply.

The power supply in a computer is designed to provide only the amount of power needed by the system, so in this case, it will deliver up to 500 W, even though its maximum capacity is 1000 W. This allows the power supply to operate efficiently without drawing excess power or creating an electrical hazard.

Additionally, a higher wattage power supply, like the 1000 W unit, will generally last longer because it is not being pushed to its maximum capacity, allowing for less wear and tear on the components. A power supply with a lower wattage, such as 750 W, may need to work harder to provide the necessary power, potentially reducing its lifespan.

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Answer: inertia

Explanation:

he glass of water has inertia — it will not move unless a big enough force acts on it. The force in this activity pulling on the glass of water is the friction between the tablecloth and the glass.

Answer:

False

Explanation:

The wavelength of red light is greater than blue light.  Its energy is less.

Both statements are false.    Search for a graphic of the "electromagnetic spectrum."  Many will note the wavelengths of the various regions (IR, UV, Visible, Microwave, etc.  Observe the relationships.  Red has less energy than blue.  That sounds counterintuitive, based on artist's use of red to connote fire or some energetic situation.  But the red in a fire obscures human vision to the blues and UV radiation from the same source.  A welder uses a UV shield to blocjk these wavelengths, to avoid eye damage.

Answer:

The following options are expanding as the universe expands:

Space-time: The fabric of space-time itself is expanding, which is a fundamental aspect of the expansion of the universe.

Galaxy clusters: Clusters of galaxies are bound structures that are also affected by the expansion of the universe. The distances between galaxies within a cluster increase as the universe expands.

The Local Group: It is the galaxy group that includes the Milky Way and Andromeda galaxies, is also subject to the expansion of the universe. The distances between galaxies in the Local Group are increasing due to the expansion.

On the other hand, the solar system and individual galaxies are not expanding as the universe expands. The expansion of the universe primarily affects larger-scale structures like clusters and groups of galaxies, rather than individual galaxies or smaller systems like the solar system.

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Answer:

Because collisions are constantly occurring within the ring systems, ring particles are continually being ground down to dust.

Explanation:

Answer:

Explanation:

time= distance/speed

20km/ 15km/h

= 1 1/3 hours (4/3 in mixed fraction)

The reciprocating engine in which the crankshaft is rigidly attached to the airframe and the cylinders spin with the propeller is called a "rotary" radial engine.

In a rotary radial engine, the entire engine rotates with the propeller, providing the necessary power for aircraft propulsion. This type of engine was commonly used in early aviation, particularly during the World War I era. The rotation of the engine allowed for efficient cooling and improved aerodynamics. However, rotary radial engines had some disadvantages, such as limited power and poor fuel efficiency. As aviation technology advanced, these engines were gradually replaced by more efficient and reliable designs, such as the stationary radial engine. Despite their limitations, rotary radial engines played a significant role in the development of aviation and are considered an important milestone in engine design.

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The velocity of the particle remains 5 m/s, both before and after the 10-second interval.Since the velocity remains the same, the particle maintains a constant velocity.

The given information states that a particle is initially moving eastwards with a velocity of 5 m/s. After 10 seconds, the velocity of the particle changes to 5 m/s. However, it does not specify whether the change in velocity occurs instantaneously or gradually over the 10-second interval.

If we assume that the change in velocity occurs instantaneously at the 10-second mark, then the velocity of the particle remains constant at 5 m/s throughout the entire 10-second interval. Therefore, the particle maintains an eastward velocity of 5 m/s.If, on the other hand, the change in velocity occurs gradually over the 10-second interval, then additional information is required to determine the specific pattern or rate of change. Without further information, it is not possible to determine the exact velocity of the particle during the 10-second interval.

In summary, based on the given information, the velocity of the particle is either 5 m/s throughout the entire 10-second interval.

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Answer:

product

Explanation:

Answer:

product

Explanation:

You find the product when you multiply two or any number of factors.

Answer:

The force of gravitational attraction between them also decreas

In order to calculate average velocity, divide the change in position or displacement (x) by the time intervals (t) during which the displacement takes place. Depending on the displacement's sign, the average velocity can either be positive or negative. metres per second is the average velocity SI unit.

acceleration: the rate at which the speed and direction of a moving object vary over time. When anything moves faster or slower, it is said to be accelerating or decelerating in a straight line. Since the trajectory is always changing, travel on a circle accelerates even while the speed is constant.

A1=(1/2)ˆ2 x 22/7

A1= 0.785

A2= 0.0625 x22/7

A2=0.196

V=(A1-A2)xv

V=0.589x8

V=4.72

= 8.33 / 4.72 mass flow rate

1.76 gal/s of mass flow

Duration: 20/1.76

duration: 11.36 seconds

A1v1=A2v2

A1v1/A2=v2

v2=8x0.785/0.196

v2=32.0 ft/s

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The purpose of a marketing plan is to identify, develop, and maintain a target market to meet the organization's objectives. This process outlines the necessary strategies to achieve this goal.

The marketing plan helps to manage the organization's activities by directing resources toward meeting the target market's needs and preferences. The marketing plan should include the company's marketing mix, which involves four primary components: product, price, place, and promotion.

                                 Additionally, it should define the target market, including demographics, location, needs, and preferences. It should also highlight the company's competition and define the company's unique selling proposition. Responsibility for developing the marketing plan typically falls on the marketing department.

                                          However, other departments should have access to the plan, such as sales, customer service, research and development, and finance. This access enables the coordination and alignment of all departments with the organization's overall goals. The marketing plan must outline the company's goals and strategies and provide a timeline for implementation.

                          The plan should be a flexible, living document that can be reviewed regularly, updated, and adjusted based on the organization's changing needs. It should also be clear and concise, making it easy for stakeholders to understand and follow.

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Answer:

D. Humidity refers to the amount of water vapor in the air

Answer: A

Explanation: Humidity is a measure of dew in the air.

Answer:

Part A

1) At the starting point, we have;

PE = 40,000 J

2) PE = 0 J, KE = 40,000 J

3) KE = 20,000 J

4) PE = 15,000 J

5) KE = 32,500 J

6) KE = 40,000 J, PE = 0 J

7) KE = 35,000 J

8) KE = 40,000 J, PE = 0 J

Part B

The total Mechanical Energy = ME = 40,000 J

At the final point, we have;

ME = KE + PE = 40,000 J + 0 J = 40,000 J

Explanation:

Part A

By the law of conservation of energy, we have;

ME = PE + KE

Where;

ME = The total Mechanical Energy of the system

PE = The Potential Energy of the system

KE = The Kinetic Energy of the system

Where there is no friction, we have;

At the final stage, KE = 40,000 J. PE = 0 J

Therefore, ME = PE + KE = 40,000 J + 0 J = 40,000 J

1) At the starting point, we have;

KE = 0 J, therefore, PE = ME - KE = 40,000 J - 0 J = 40,000 J

2) At the bottom of the roller coaster, at the same level the PE is taken as PE = 0 J at the final stage, we have;

PE = 0 J, therefore, KE = ME - PE = 40,000 J - 0 J = 40,000 J

3) Where PE = 20,000 J, KE = ME - PE = 40,000 J - 20,000 J = 20,000 J

4) Where KE = 25,000 J, PE = ME - KE = 40,000 J - 25,000 J = 15,000 J

5) Where PE = 7,500 J, KE = ME - PE = 40,000 J - 7,500 J = 32,500 J

6) At the bottom KE = 40,000 J, PE = 0 J

7) Where PE = 5,000 J, KE = ME - PE = 40,000 J - 5,000 J = 35,000 J

8) KE = 40,000 J, PE = 0 J

Part B

The given that there is no friction nor air resistance, the total Mechanical Energy, ME, is constant and equal to the sum of the Potential Energy, PE and the Kinetic Energy, KE, as follows;

ME = KE + PE

At the final point, we have;

ME = 40,000 J + 0 J = 40,000 J

The total Mechanical Energy = ME = 40,000 J

Answer:

In coastal areas, strong winds and powerful waves break off soft or grainy rocks from hardier rocks. Too much weathering occurs, it might break off parts of the cliff and be dangerous to humans, or animals.

Rain has acid in it which could eat up the cliff.

Explanation:

The transition that would result in the absorption of a photon with the shortest wavelength is n=1 to n=∞.

An electron in an atom can move to a higher energy level, or shell, if it absorbs energy equal to the energy difference between its current and new levels. When the electron drops from a higher to a lower energy level, a photon is emitted, and when an electron moves from a lower to a higher energy level, it absorbs a photon of light.

The shorter the wavelength of light, the higher its energy. Thus, the transition from n=1 to n=∞ would absorb a photon with the shortest wavelength because it involves the electron moving to the highest possible energy level. At the n=∞ level, the electron has escaped the influence of the nucleus and is no longer bound to the atom. This is known as the ionization energy of the atom, and it requires the greatest amount of energy to be achieved.

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Answer:

B carbon dioxide and water

Your answer should be

B

because of life-sustaining activities

F = 20 N

m = 250 g = 0.25 Kg

a = ?

Using Newton's 2nd Law

a = F/m

a = 20/0.25

a = 80 m/s²

The acceleration of an object with a mass of 250 grams or 0.250 kg and force applied of 20N is 80m/s².

Acceleration is the rate of change of velocity of an object. Acceleration means the speed of the object is changing, but not always. When an object moves in a circular path at a constant speed rather than variable, it is still accelerating, because the direction of its velocity is changing. It is a vector quantity as it has both the magnitude and direction. The SI unit of acceleration is meter per second (m/s²).

According to the formula,

f = m × a

f = force,

m = mass of the body,

a = acceleration of the body

f = 20N

m = 250 grams = 0.250kg (1kg = 1000grams)

f = m × a

a = f/ m

a = 20N/ 0.250kg

a = 80m/s²

The acceleration of the body is 80m/s².

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Answer:

D. 72.1 m^2

Explanation:

6.01m x 12m = 72.12 m^2

The velocity of the projectile just prior to the collision would be 167.31 m/s.

with respect to the Principle of Energy Conservation, we can write

U1 + K1 = U2 + K2

where U1 and U2 are the Initial and final gravitational potential energies.

and K1 and K2 are the Initial and final kinetic energies.

Putting all the appropriate values of the gravitational potential energy and kinetic energy, we get

(m+M)g (y2 - y1)  =  (1/2) x (m+M) x (\(V1^{2} - V2^{2}\))

or, g(y2-y1) = (1/2) x  (\(V1^{2} - V2^{2}\))

so , v1 we can write

v1 = \(\sqrt{v_{2} ^{2} + 2 * g * (y2-y1)}\)

v1 and v2 are the initial and final speed

Now, since the collision is inelastic collision, so we can write

where,

\(mv_{0p}\) is Velocity of the project prior to the collision, measured in meters per second.

\(Mv_{0B}\)  Velocity of the ballistic pendulum prior to the collision, measured in meters per second.

As we know that from quetion, v2 = 0 ; g = 9.8 , y2-y2 = 14cm = 0.14 m , m = 0.025 kg, M = 2.5kg and v0B = 0 ,

so putting all values

v1 = \(\sqrt{0^2 + 2 * 9.8 * 0.14}\)

v1 = 1.6565 m/s

again solving for \(v_{0p}\) ,

\(mv_{0p}\) =     \(= (m+M) v1 - Mv_{0B}\)

Vop  = 167.31 m/s

Hence the velocity of the projectile just prior to the collision is 167.31 m/s.

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Answer:

The impulse exerted by one cart on the other has a magnitude of 4 N.s.

Explanation:

Given;

mass of the first cart, m₁ = 2 kg

initial speed of the first car, u₁ = 3 m/s

mass of the second cart, m₂ = 4 kg

initial speed of the second cart, u₂ = 0

Let the final speed of both carts = v, since they stick together after collision.

Apply the principle of conservation of momentum to determine v

m₁u₁ + m₂u₂ = v(m₁ + m₂)

2 x 3 + 0 = v(2 + 4)

6 = 6v

v = 1 m/s

Impulse is given by;

I = ft = mΔv = m(

The impulse exerted by the first cart on the second cart is given;

I = 2 (3 -1 )

I = 4 N.s

The impulse exerted by the second cart on the first cart is given;

I = 4(0-1)

I = - 4 N.s (equal in magnitude but opposite in direction to the impulse exerted by the first).

Therefore, the impulse exerted by one cart on the other has a magnitude of 4 N.s.

Hello!

First, lets calculate potential energy at the 10 meters, for that, lets applicate formula:

\(\boxed{E_p = mgh}\)

\(\textbf{Being:}\)

\(\sqrt{}\) \(E_p = Potential\ Energy = \ ?\)

\(\sqrt{}\) \(m = Mass = 10 \ kg\)

\(\sqrt{}\) \(g = Gravity = 9,81\ m/s^{2}\)

\(\sqrt{}\) \(h = Height = 10 \ m\)

\(\textbf{So let's replace and resolve it}\)

\(E_p = 10 \ kg * 9,81 \ m/s^{2} * 10 \ m\)

\(E_p = 981 \ J\)

\(\text{The potential energy is of \textbf{981 J}}\)

Now, lets calculate the kinetic energy, for this, we have the equation:

\(\boxed{k = 0,5 * m * v^{2}}\)

\(\textbf{Being:}\)

\(\sqrt{}\) \(k = Kinetic\ Energy = \ ?\)

\(\sqrt{}\) \(m = Mass = 10 \ kg\)

\(\sqrt{}\) \(v = Velocity = \ ?\)

How you see, we have to calculate the velocity in that instant, for that lets applicate formula:

\(\boxed{V^{2} = V_o^{2} +2g (\triangle h) }\)

\(\textbf{So let's replace and resolve it}\)

\(V^{2} = (0\ m/s)^{2} + 2(9,81 \ m/s ^ {2} ) (20 \ m - 10 \ m)\)

\(V = \sqrt{196,2 \ m^{2}/s^{2} }\)

\(V = 14,007 \ m/s\)

\(\text{Now we have velocity, so let's \textbf{ replace} according kinetic formula:}\)

\(k = 0,5 * 10 \ kg * (14,007\ m/s)^{ 2 }\)

\(k = 5\ kg * 196,19\ m^{2}/s^{2}\)

\(k = 980,98 \ J\)

\(\text{The kinetic energy is \textbf{980,98 Joules}}\)

Good Luck!!

The kinetic and potential energy when  the rock that has fallen 10 m will be 981 J and 981 J, respectively.

Given information:

A 10 kg rock falls from a 20 m cliff.

At the height of 20 m, the kinetic energy of the rock will be zero because it is at rest. Now, while falling, its potential energy will decrease and kinetic energy will increase.

According to energy conservation, the loss in potential energy from 20 m to 10 m will be converted into kinetic energy.

So, the loss in potential energy or gain in kinetic energy from 20 m to 10 m will be,

\(\Delta PE=mgh\\\Delta PE=10\times 9.81\times (20-10)\\\Delta PE=981\rm\; J\)

So, the kinetic energy of the rock at 10 m height will be 981 J.

Now, the potential energy of the rock at 10 m height will be,

\(\Delta PE=mgh\\\Delta PE=10\times 9.81\times 10\\\Delta PE=981\rm\; J\)

So, the potential energy of the rock at 10 m height will be 981 J.

Therefore, the kinetic and potential energy when  the rock that has fallen 10 m will be 981 J and 981 J, respectively.

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Answer:

48.41 m/s

Explanation:

The statements that are true are II: The larger the molecule, the slower it will effuse and III: In real gases, the corrected volume is less than the ideal volume predicted by the ideal gas law.

Statement I, "Particles of different masses have the same average speed at a given temperature," is false. According to the kinetic theory of gases, at a given temperature, particles of different masses will have different average speeds. Lighter particles tend to have higher average speeds compared to heavier particles.

Statement II, "The larger the molecule, the slower it will effuse," is true. Effusion refers to the escape of gas molecules through a small opening. Larger molecules have a lower average speed due to their greater mass, resulting in slower effusion rates compared to smaller molecules.

Statement III, "In real gases, the corrected volume is less than the ideal volume predicted by the ideal gas law," is true. Real gases deviate from ideal behavior at high pressures and low temperatures. This deviation is accounted for by corrections such as the van der Waals equation, which adjusts the predicted volume to account for intermolecular forces and molecular size.

Statement IV, "For a given gas, the lower the temperature, the faster it will effuse," is false. The rate of effusion is inversely proportional to the square root of the molar mass of the gas, but it is not directly dependent on temperature.

In summary, statements II and III are true, while statements I and IV are false.

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Answer:

6 m/s^2

Explanation:

After calculations, we come to know that the wavelength of light in the water is 350 nm.

Let us first calculate the critical angle for crown glass.

The formula for the critical angle is: n2/n1 = sin θ2/sin θ1

Let us plug in the values of refractive indices: n2 = 1.52n1

= 1.00 (air)n2/n1

= 1.52/1

= 1.52sin θ2/sin θ1

= 1.52/1sin θ1

= sin(θ2)/1.52sin θ1

= sin^-1(1/1.52)sin θ1 = 41.1°

The critical angle for crown glass is 41.1°.

The angle of incidence of the light ray in air is the same as the angle of refraction of the light ray in water.

We can use the formula for refraction of light: n2 sin θ2 = n1 sin θ1

Let us plug in the values of refractive indices and angle of incidence: n1 = 1.00 (air)   n2 = 1.333 (water)

sin θ1 = sin 0°

= 0sin θ2

= (n1 sin θ1)/n2sin θ2

= (1.00 × 0)/1.333sin θ2 = 0

The angle of refraction of the light ray in water is 0°.

Now, let us calculate the wavelength of light in water using the formula: n1λ1 = n2λ2

Let us plug in the values of refractive indices and wavelength of light in air:  n1 = 1.333 (water)  n2 = 1.52 (crown glass)λ1 = 471 nmn1λ1

= n2λ21.333 × 471

= 1.52λ2λ2

= 1.333 × 471/1.52λ2 = 350 nm

Therefore, the wavelength of light in the water is 350 nm.

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The speed of the rock is 50 m/s by neglecting air resistance. Thus, option A is correct.

Acceleration due to gravity =  9.8  m/second squared.

Time = 5 seconds.

If you drop a rock from a certain height, neglecting the air resistance, the rock will fall at the speed of 9.8 meters per second squared. This is the actual acceleration of any object on the earth due to gravitational force.

So the speed of the rock can be calculated by the product of the time taken to reach the ground to the acceleration due to gravity. Mathematically,

Speed = Time * Acceleration due to gravity

Speed  = 9.8 * 5

Speed  = 50 m/s

Therefore we can conclude that the speed of the rock is 50 m/s.

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The slope of the curve at the point (1, 8) is -1/96 and we have used implicit differentiation to find slope.

To find the derivative dy/dx using implicit differentiation, proceed as follows:

Start with the given equation involving x and y. Let's assume the equation is:

x² + y³ = 10

Differentiate both sides of the equation with respect to x, treating y as a function of x:

d/dx(x² + y³) = d/dx(10)

Apply the power rule for differentiation to each term:

2x + 3y² * (dy/dx) = 0

Now, solve for dy/dx to isolate the derivative term:

3y² * (dy/dx) = -2x

dy/dx = -2x / (3y²)

Substitute the given point (1, 8) into the derivative expression to find the slope at that point:

dy/dx = -2(1) / (3(8)²)

      = -2/192

      = -1/96

Note: Implicit differentiation is used when an equation cannot be easily solved explicitly for y. It allows us to find the derivative of y with respect to x without explicitly solving for y.

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Answer:

1. is B and 2. is A

Explanation:

Answer:

1. Displacement

2.  5 m/s  400 ÷ 80 = 5

Explanation: