Two masses m move at speed v, one to the east and one to the west. What is the total energy of the system

The y-component of the vector is 13.24 m.

Vector components allow us to break a single vector quantity into two or more scalar quantities with which we have more mathematical experience.

The two component of a vector include;

The component of a vector that acts in horizontal direction is known as x-component of the vector.

The component of a vector that acts in vertical direction is known as y-component of the vector.

The y-component of the vector is calculated as follows;

Vy = V sinθ

Vy = 55.1 m x sin(13.9)

Vy = 13.24 m

Thus, the y-component of the vector is 13.24 m.

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The complete question is below:

a vector is 55.1 m long pointing in a 13.9 degree angle. Find the y-component of the vector.

When an object is placed inside the focal point of a concave mirror, the image formed will be virtual, upright, and magnified.

This occurs because the light rays reflecting off the mirror diverge and never intersect on the real side of the mirror. Instead, they appear to converge on the virtual side, behind the mirror.

As a result, the image of the object will be farther from the observer than the object itself. The observer will see the image behind the mirror, which is not the actual position of the object, making it appear more distant than it truly is.

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The correct option is B, Standing waves result from the superposition of two waves that have the same amplitude and frequency and opposite directions of propagation .

Amplitude is a fundamental concept in physics and refers to the maximum displacement or distance of an oscillating system from its equilibrium position. It is commonly used to describe the magnitude of a wave or vibration, and is measured in units such as meters or volts.

In the context of waves, amplitude represents the maximum height or depth of the wave crest or trough, and is often used to describe the intensity or strength of the wave. In sound waves, amplitude is directly related to the loudness or volume of the sound, with larger amplitudes corresponding to louder sounds. In electrical engineering, amplitude refers to the maximum voltage or current of an alternating current (AC) waveform.

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Complete Question:-

Standing waves result from the superposition of two waves that have

a. the same amplitude, frequency, and the direction of propagation.

b. the same amplitude and frequency and opposite directions of propagation .

c. the same amplitude, slightly different frequencies, and the same direction of propagation.

d.the same amplitude, slightly different frequencies, and opposition directions of propagation

1. Possible. The outcome is possible because the white ball transfers all its momentum to the grey ball, which then moves in the opposite direction with the same speed.

2. Not possible. The outcome is not possible because the final velocities violate the law of conservation of momentum. The white ball has a higher final velocity than the initial velocity, which would require an external force.

Initial momentum = \(m_B * v_B + m_D * v_D\) =\((60 kg) * (10 m/s) + (65 kg) * (-6 m/s) = 210 kg m/s\)

Final momentum = \((m_B + m_D) * v_final\)

We can solve for the final velocity of the system:

v_final = \((m_B * v_B + m_D * v_D) / (m_B + m_D) = (60 kg * 10 m/s - 65 kg * 6 m/s) / 125 kg = 0.88 m/s\)

Therefore, the final velocity of Drew and Blake is 0.88 m/s.

For the second problem, we can use conservation of momentum again, since there are no external forces acting on the system.

Initial momentum = 0

Final momentum = \(m_astronaut * v_astronaut + m_toolkit * v_toolkit\)

We can solve for the final velocity of the astronaut:

\(v_astronaut = - (m_toolkit * v_toolkit) / m_astronaut = - (18 kg * 2 m/s) / 115 kg = -0.31 m/s\)

An external force is any force that acts on an object or a system from outside of the system. It can be a contact force, such as a push or pull from a person or an object, or a non-contact force, such as gravity, electromagnetic force, or pressure from a fluid.

External forces can change the state of motion or deformation of an object or a system, and they can cause acceleration, deceleration, or deformation of the object. In the absence of external forces, an object or a system would maintain its state of motion or rest according to the law of inertia. External forces are important in many areas of physics, including mechanics, electromagnetism, thermodynamics, and fluid dynamics.

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1. Possible. The outcome is possible because the white ball transfers all its momentum to the grey ball, which then moves in the opposite direction with the same speed.

2. Not possible. The outcome is not possible because the final velocities violate the law of conservation of momentum. The white ball has a higher final velocity than the initial velocity, which would require an external force.

Initial momentum = \(m_B * v_B + m_D * v_D\) =\((60 kg) * (10 m/s) + (65 kg) * (-6 m/s) = 210 kg m/s\)

Final momentum = \((m_B + m_D) * v_final\)

We can solve for the final velocity of the system:

v_final = \((m_B * v_B + m_D * v_D) / (m_B + m_D) = (60 kg * 10 m/s - 65 kg * 6 m/s) / 125 kg = 0.88 m/s\)

Therefore, the final velocity of Drew and Blake is 0.88 m/s.

For the second problem, we can use conservation of momentum again, since there are no external forces acting on the system.

Initial momentum = 0

Final momentum = \(m_astronaut * v_astronaut + m_toolkit * v_toolkit\)

We can solve for the final velocity of the astronaut:

\(v_astronaut = - (m_toolkit * v_toolkit) / m_astronaut = - (18 kg * 2 m/s) / 115 kg = -0.31 m/s\)

An external force is any force that acts on an object or a system from outside of the system. It can be a contact force, such as a push or pull from a person or an object, or a non-contact force, such as gravity, electromagnetic force, or pressure from a fluid.

External forces can change the state of motion or deformation of an object or a system, and they can cause acceleration, deceleration, or deformation of the object. In the absence of external forces, an object or a system would maintain its state of motion or rest according to the law of inertia. External forces are important in many areas of physics, including mechanics, electromagnetism, thermodynamics, and fluid dynamics.

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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

\(a = \frac{25}{40.5} \\ = 0.617283950...\)

We have the final answer as

Hope this helps you

Answer:

18 degrees Celsius is equivalent to 64.4 degrees Fahrenheit.

Explanation:

To convert Celsius to Fahrenheit by using the formula

: (°C x 1.8) + 32 = °F

18 °C = 64.4 °F . Fahrenheit is a temperature scale created by German physicist Daniel Gabriel Fahrenheit in 1724.

What is Fahrenheit?

On this scale, temperature is measured by the expansion of a liquid, specifically a mercury-in-glass thermometer. The scale is based on three fixed points: the freezing point of pure water is defined as 32°F and the boiling point of pure water is defined as 212°F. The third point, 96°F, was determined to be body temperature. On the Fahrenheit scale, the difference between the freezing point and the boiling point of water is 180°F. There are 180 intervals between the two fixed points, and each interval is one degree.

The degree Fahrenheit (°F) is the most commonly used unit of temperature in the United States. 18 x (9/5) + 32 = 64.4°F

Therefore,  18 °C = 64.4 °F

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Answer:

Explanation:

Call the bike on the right A

Call the bike on the left B

The car begins it's time when it passes A

4 minutes later, it passes B.

But B has moved in 4 minutes and that is the key to the problem.

How far has B moved.

t = 4 minutes = 4/60 hours = 1/15 of an hour.

d = ?

rate = 30 km / hr

d = r * t

d = 30 km/hr * 1/15 hours = 2 km

The distance between the bikes is 5 km.

So the car has traveled 5 - 2 = 3 km

d = 3 km

r = ?

t = 4 minutes = 1/15 hour

r = d/t = 3/(1/15)= 3 / 0.066666666  = 45 km/hr.

Answer:

False

Explanation:

The centripetal force is the force that points towards the center and is responsible for keeping an object in a curved path. This force is provided by the tension in the string, not the mass of the object.

Given function isv(t) = t³ +13t²+47t-35and time interval is 1≤t≤7. We have to calculate:

(a) Displacement

(b) Total Distance

(a) Displacement:

Displacement is defined as the shortest distance between initial and final points. We can find the displacement of a particle with the help of following formula:

Displacement = Final Position - Initial PositionHere, the particle moves along a straight line, and we don't know the initial and final position.  Thus, the displacement of the particle is 219 ft.(b) Total Distance:Total distance traveled by the particle is the sum of all the distances covered by it in different intervals.

Thus, we have two real roots of the given equation:t₁

≈ - 6.548t₂

≈ 0.215

Therefore, ∫|v(t)|dt = 309

As we have to find the total distance, we have to add both the cases. Therefore,

Total Distance =∫|v(t)|dt  [from 1 to 7]

=∫|v(t)|dt [from 1 to 7]

=∫|v(t)|dt (from 1 to 1.215) +|v(t)|dt (from 1.215 to 7) = 252 + 309= 561 ft Thus, the total distance traveled by the particle is 561 feet.

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d) It is constant between the plates except near the edges is true statements concerning the strength of the electric field between two oppositely charged parallel plates.

The electric field is an effect or impact that arises due to the presence of an electric charge. Whether it's protons, ions, or electrons in the space around it. In other words, the electric field is a spatial sector that arises due to the existence of an electric force, usually consisting of two or more charges.

This electric field has units of N/C (Newton/Coulomb). Meanwhile, to describe it, is to use lines of electric force (imaginary lines). Where the curved line is the path traversed by a positive charge and moves in an electric field.

The lines of electric force will not intersect because the lines of electric force are imaginary lines that start from a positively charged object and end on a negatively charged object.

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The different types of WBCs with their description are as follows: neutrophil- polymorphonuclear (nucleus twisted and segmented), slightly pinkish granular cytoplasm, lymphocyte- large round nucleus takes up most of the space in the cell.

White blood cells (WBCs) are a major part of the body's immune system. They help the body in fighting infections and other related diseases. Different types of white blood cells include: granulocytes (neutrophils, eosinophils, and basophils), monocytes, and lymphocytes (T cells and B cells).

Neutrophil are polymorphonuclear (nucleus twisted and segmented) and are slightly pinkish granular cytoplasm, lymphocyte are the large round nucleus that takes up most of the space in the cell and have a small cytoplasm ring around nucleus, monocyte are large cell, twice as big as red blood cell with the nucleus is bean or "C" shaped, eosinophil are the cells full of red-pink staining granules and the nucleus is bilobed, basophil are the cell which are full of dark-purple staining granules and nucleus is bilobed.

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Low-pressure areas experience restless weather with precipitation and storms, while high-pressure areas experience consistently dry weather over extended periods of time.

Air pressure, also called atmospheric pressure, is caused by the volume of air molecules in the atmosphere and exerts a force on the earth through gravity. Barometric pressure varies according to various conditions, and high and low pressure indicates a particular type of weather.

Ascending air creates a low pressure system and descending air creates a high pressure.

A depression is a large mass of air that rises because the ground or water below is warm. Air heats up, expands, and becomes less dense. If the air parcel also contains water, it will be lighter in weight due to water vapor, whose molecules are lighter than air molecules. The end result is moist, less dense air that rises in the upper atmosphere and begins to cool.

A minimum temperature of degrees tends to be erratic weather, with the potential for clouds, high winds and precipitation. Storms and hurricanes can form as low pressure systems intensify.

A high-pressure system is cold air that moves from the upper layers of the atmosphere to the surface. Air becomes denser as it descends, and water evaporates into air masses. There is no cloud-forming water and the air is stable, clean and dry. Low humidity creates high air pressure, which is usually relieved. However, if the high-pressure dense air becomes too warm, drought can occur.

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The force exerted on a positive charge of 2.80 μc in a uniform electric field of magnitude 5.30 x 104 n/c can be calculated using the equation F = qE, where F is the force, q is the charge, and E is the electric field. Plugging in the values, we get:

F = (2.80 μc)(5.30 x 104 n/c) = 1.49 x 10-4 N

Therefore, the force exerted on the positive charge is 1.49 x 10-4 N.

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Answer:

2400 Hz

Explanation:

frequency = speed × lenght of the wave

The rate of change of energy of the water in the container is 450 Watts.

To determine the rate of change of energy of the water in the container, we need to consider the energy transfer through heating and mechanical work.

Heating:

The rate of heat transferred from the high temperature object to the water is given as 450 Watts. This represents the rate at which energy is being transferred to the water through heating.

Mechanical Work:

The motor outside the container produces 35 Newton-meters of torque and operates at 3600 rpm (revolutions per minute). To calculate the mechanical work done, we need to convert the rotational speed to radians per second.

First, we convert 3600 rpm to radians per second:

3600 rpm * (2π radians/minute) * (1/60 minute/second) = 376.99 radians/second (approx.)

Next, we calculate the mechanical work done by the motor:

Work = Torque * Angle

As the motor rotates, it performs work by rotating the shaft and propeller inside the water. However, without information about the angle of rotation, we cannot calculate the precise mechanical work done.

Based on the given information, the rate of change of energy of the water in the container is 450 Watts, representing the rate of heat transfer. However, without the angle of rotation, we cannot determine the exact contribution of mechanical work to the overall rate of energy change.

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Answer:thanks

Explanation:xixo

gv

Answer:

The generation of Earth's magnetic field starts at its very center. Some researchers believe polarity reversals are caused by a disturbance in the balance between Earth's rotation and the temperature at the core, which alters the fluid motion of the liquid iron, but the exact process remains a mystery.

Answer:

D

Explanation:

Let’s calculate the kinetic energy for all of the choices.

a. (1/2)(100)(100)^2 = 50(10000)=500,000

b. (1/2)(100)(1)^2 = 50

c. (1/2)(10)(100)^2 = 5(10000) = 50,000

d. (1/2)(1)(1)^2 = 0.5

We can see that (d) has the least kinetic energy.

Answer:

Along the Atlantic and Gulf Coasts of Florida, the land surface is also sinking. If the oceans and atmosphere continue to warm, sea level along the Florida coast is likely to rise one to four feet in the next century. Rising sea level submerges wetlands and dry land, erodes beaches, and exacerbates coastal flooding.

Explanation:

Answer:

6km

Explanation:

4km + 2km = 6km

Answer:

Each layer has its own properties, composition, and characteristics that affects many of the key processes of our planet. They are, in order from the exterior to the interior – the crust, the mantle, the outer core, and the inner core.

Explanation:

The human cannonball will depart the cannon at a velocity of 2872.8 N.

These details are what we know:

M = n72 kg, Y = 18 m, and T = 0.95 s.

From this point, the acceleration is calculated using the equation y=1/2at2.

A = (2 x 18m)/(0.95s2) = 36/0.9025 = 39.9m/s2.

We then apply the formula F = ma F=(72kg) x (39.9) = 2872.8N.

The average net force acting on him while he is inside the cannon's barrel is 2872.8N.

Velocity, as opposed to speed, refers to the pace and direction of an object's movement as it moves down a path. In other words, whereas velocity is a vector, speed is a scalar quantity.

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ANSWER

EXPLANATION

The speed of a wave is given by the formula:

where λ = wavelength

f = frequency

Hence, the wavelength of the wave is:

Therefore, the wavelength of the sound wave is:

The answer is option B.

Answer:

Astronomers think there are between 1.1 and 1.9 million asteroids in the solar system.

Explanation:

Answer:

History of the 9 Planets in our solar system The ancient Greeks came across seven lights in the sky that moved against the background pattern of stars: the sun, the moon, Mercury, Venus , Mars, Jupiter, and Saturn. then they decided to name them Planetes, or Wanderers.

Explanation:

A planet is a celestial body. The nickname for the earth is "blue planet".

A celestial body is differentiated from the fixed stars by its apparent mobility (including the moon and sun), especially in relation to its claimed impact on people and events.

The nicknames for the planets in our solar system are:

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the output voltage of the transformer that has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil is 120 V

A transformer is an electrical device that transfer electric energy from one circuit to another.

To calculate the output voltage of the transformer, we use the formula below.

Formula:

Where:

Make V' the subject of the equation

From the question,

Given:

Substitute these values into equation 2

Hence, the output voltage of the transformer that has 1,000 turns of wire in the primary coil and 50 turns in the secondary coil is 120 V.

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The wavelength of the radio broadcast is 2.93 meters. The photon energy of the radio broadcast is 6.79 x  \(10^{26}\) joules.

The wavelength of the radio broadcast can be calculated using the formula:

wavelength = speed of light / frequency

The speed of light in a vacuum is approximately 3.00 x \(10^8\) meters per second. We need to convert the frequency from megahertz (MHz) to hertz (Hz):

102.3 MHz = 102.3 x \(10^6\) Hz

Plugging in the values, we get:

wavelength = (3.00 x \(10^8\)m/s) / (102.3 x \(10^6\) Hz)

wavelength = 2.93 meters

Therefore, the wavelength of the radio broadcast is 2.93 meters.

b. The photon energy of the radio broadcast can be calculated using the formula:

energy = Planck's constant x frequency

Planck's constant is approximately 6.63 x \(10^{34}\) joule-seconds. Again, we need to convert the frequency from megahertz to hertz:

102.3 MHz = 102.3 x \(10^6\) Hz

Plugging in the values, we get:

energy = (6.63 x \(10^{34}\) J·s) x (102.3 x \(10^6\) Hz)

energy = 6.79 x \(10^{26}\) joules

Therefore, the photon energy of the radio broadcast is 6.79 x \(10^{26}\)joules.

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Answer:

D.

Explanation:

Work is done when a force moves its point of application a distance in the direction of that force.

Work = force × distance.

Answer:

Explanation:

Sound, seismic, and electromagnetic waves transmit energy through different mediums due to the motion of particles in the medium.

Sound waves transmit energy through the vibration of particles in a solid, liquid, or gas. The energy is transferred from particle to particle as the wave travels through the medium.

Seismic waves are created by the sudden release of energy from earthquakes, volcanic eruptions, or other geological events. These waves travel through the Earth's solid mantle and crust, transmitting energy through the vibration of particles in the rock.

Electromagnetic waves are a type of wave that does not require a medium to travel through. They are created by the motion of charged particles, such as electrons, and can travel through a vacuum, such as space. Electromagnetic waves transfer energy through the oscillation of electric and magnetic fields.

The cost of using 50 W for one day or 24 hours is  dollar 0.12. The cost of using 800 W for 1 hour is 0.08 dollar.

Power is the rate of work done energy of  an object. Given that the cost of using 1 KWhr energy is dollar 0.10.

Then cost of using 50 W  or 0.05 KW in 24 hours is

0.05 × 24 ×  0.10  = 0.12 dollar

Cost of using 800 W or 0.08 KW per hour is 0.08 KWhr × 0.10 = dollar 0.08

Similarly, the cost of using 150 W in one month is find as follows:

150 W = 0.15 KW

energy used  = 0.15 × 30 × 24 hrs

cost = 0.15 × 30 × 24 hrs × 0.10 = dollar 10.8

The energy causing a cost of 2.5 dollar is 2.5/0.10 = 25 KWhr

power = 25 KWHr/24 hrs = 1.04 KW.

The energy causing a cost of 4 dollars is 4/0.10 = 40 KWhr

power =40 KWHr/24 hrs = 1.6 KW.

The energy causing the cost of 3 dollars  = 3/0.10 = 30 KWhr

then time = 30/100 W = 0.3 hr.

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