a drone is flying horizontally when it runs out of power and begins to free fall from 80 m . if it lands 80 m away (in the x -direction) from where it began to fall, what was its horizontal velocity while it was falling (assuming no drag)?

To find the impulse of the car, we can use the formula:

impulse = force x time

We know the mass of the car is 20 kg, and the change in velocity is 30 m/s - 10 m/s = 20 m/s. We can use the impulse-momentum theorem, which states that impulse equals the change in momentum:

impulse = change in momentum = mass x change in velocity

So, impulse = 20 kg x 20 m/s = 400 Ns

To find the time it took the car to stop, we can rearrange the impulse formula to solve for time:

time = impulse / force

Plugging in the values, we get:

time = 400 Ns / 200 N = 2 seconds

Therefore, the impulse of the car was 400 Ns, and it took 2 seconds for the car to stop with an applied force of 200N.

Answer:

NaOH

Explanation:

In the harmonic oscillator, SHO, the displacement of the oscillator in one dimension is given by the formula

x = Acos (wot+ф)

The above equation can also be rewritten as

x = A1sin(wot) + A2cos(wot)

Differentiating the above equation two times with respect to time gives the acceleration of the oscillator.

Differentiating once gives velocity.

Calculating Acceleration

The velocity of the oscillator is given by

v = dx/dt

v = A1wcos(wot) - A2wsin(wot)

Differentiating the above equation with respect to time again will give acceleration.

a = dv/dt

a = -A1w²sin(wot) - A2w²cos(wot)

If we apply the above expression in the SHO differential equation where m is mass, k is spring constant, and x is the displacement from the equilibrium then

a = -w²xω²x + kx = 0

Now, we need to show that the sum of the solutions C1cos(t) and C2sin(t) is also a solution of the SHO differential equation.

The sum of two functions is given by f(t) = C1cos(ωt) + C2sin(ωt)

Substitute this value in SHO differential equation thena = -ω²f(t) + kf(t) = 0

By multiplying the first equation by C2 and the second equation by C1, we obtain C2

a = -ω²C2C1cos(ωt) + kC1C2cos(ωt)

= 0C1a = -ω²C1C2sin(ωt) + kC1C2sin(ωt)

= 0

Adding the above two equations will give

C1a + C2a

= 0

Therefore, the sum of these two solutions, C1cos(t) and C2sin(t), is also a solution of the SHO differential equation.

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The work done on a 50 Kg student by the elevator in 2 seconds if the elevator is accelerating upwards from rest at a rate of 2 ms⁻² would be

The total amount of energy transferred when a force is applied to move an object through some distance.

The work done is the multiplication of applied force with displacement.

Work Done = Force × Displacement

As given in the problem we have to find the work done  on a 50 Kg student by the elevator in 2 seconds if the elevator is  accelerating upwards from rest at a rate of 2 ms⁻²,

Lets us first calculate the displacement of the elevator in 2 seconds if it is accelerating upwards from rest at a rate of 2 ms⁻².

s = ut + 0.5at²

  = 0 + 0.5×2×2²

  = 4 meters

The work done on the elevator = mgh

                                                    =50×9.81×4

                                                    =1962 joules

Thus, the work done on the elevator would be 1962 joules.

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Answer:

80 amperes

Explanation:

Current = Voltage/Resistance

160/2 = 80

Answer:

Because cosmic disaster are so vast, astronomers use light-years as their unit of distance. One light-year is defined as the distance a beam of light travels in one year. The nearest star is a little more than 4.37 light-years away from us. When we see light from a galaxy 2 million light-years away, it has taken 2 million Earth years to reach us. Light from the Sun takes approximately 8.4269 minutes to reach us

Explanation:

i) One light-year is defined as the distance a light beam travels in a time of one Earth year. One light year is equivalent to 6 × 10¹² miles or 9.7 × 10¹² km

ii) The distance to the nearest star =  4.37 light-years

iii) When a star located in a galaxy that is 2.3 million light years away is seen, it has taken 2.3 million light years to reach us

iv) The distance of the Sun to the Earth = 151.58 million kilometers

The speed of light, c = 299792.458 km/s

The time it will take light to reach us from the Sun, 't', is given as follows;

t = 151.58 × 10⁶ km/(299792.458 km/s) ≈ 8.4269 minutes.

B sediment is eroded from rock

Answer:

B) sediment is eroded from rock

Explanation:

edge 2020

Answer:

The answer is D. Particles that bump into each other.

Explanation:

I took AP3X quiz.

Compressed air may be used for cleaning only if it is reduced to a safe and appropriate pressure. The exact pressure level will depend on the specific cleaning task and the materials involved.

When using compressed air for cleaning, it is essential to avoid using excessive pressure that could cause damage or pose a safety risk. High-pressure air can dislodge particles or debris forcefully, potentially causing injury or damaging sensitive equipment.

Industry guidelines often recommend limiting the air pressure for cleaning purposes to 30 PSI (pounds per square inch) or below. This reduced pressure helps ensure safe and effective cleaning without causing harm.

Additionally, it is crucial to follow proper safety precautions, such as using appropriate protective gear and directing the airflow away from oneself and others. Regular inspections and maintenance of the compressed air system are also necessary to ensure safe and reliable operation.

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Answer:

-150 N

Explanation:

(Newton's second law) F=ma

Sum of forces in Y direction= (+200 N)+(-200 N)= 0...

forces cancel, object does not accelerate up/down

Sum of forces in X direction= (+65 N)+(-65 N)+(-150 N)

= -150 N

notice that the +/- 65 components cancel, leaving a net force of 150 N in the LEFTwards direction (which is typically defined as negative)

Overall, the net force is -150 N

Answer:

Yes

Explanation:

An atom is made up of itself. Yes this is crazy but true. So far we have found the universe is everlasting, and the universe is part of itself meaning there nothing outside, except heaven and hell

Using the elements of the systems perspective, synergy can be thought of as a transformative process. Hence, option b) aligns well with the answer.

Synergy occurs when the integration of different parts of a system results in a whole that is more effective than the sum of its parts. This principle is based on the idea that a system's output is determined by how its individual elements interact with one another. As a result, a systems perspective can aid in the understanding of the causes and consequences of synergistic interactions.

Synergy refers to the phenomenon in which the combined efforts of elements result in a more powerful and effective outcome than they would have achieved individually.

For example, consider a team of employees working together on a project. The group's output may be greater than the sum of each individual's output. This is because each person has unique talents, perspectives, and experiences that they bring to the table.

When these elements are combined in a synergistic manner, the team can achieve results that no individual could have achieved on their own.The transformative process of synergy has many potential benefits. Synergy can lead to innovation, increased productivity, and improved decision-making.

Synergistic systems can be highly resilient, as they are often able to adapt to changing circumstances and maintain stability in the face of disruption. Additionally, synergistic systems are often more efficient, as they minimize duplication of effort and resources.

Finally, the systems perspective on synergy highlights the interconnectedness of the elements within a system. This interconnectedness emphasizes the importance of a holistic approach to problem-solving. Rather than focusing solely on individual components of a system, a systems perspective considers the relationships between those components.

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Light has been a matter of extensive research, and experiments have led to various hypotheses regarding the nature of light. The two most notable hypotheses are the wave model and the particle model of light.

These models explain the behavior of light concerning the properties of waves and particles, respectively. Here are the observations for each model:a) Wave model: The light can travel through a vacuum.b) Wave model: The speed of the light is less in water than in air.c) Wave model

e) Wave model: The light can be simultaneously reflected and transmitted at certain interfaces.None of the observations contradicts the wave model of light. In fact, all the above observations are consistent with the wave model of light.The correct answer is d) The beam of light travels in a straight line. This observation is consistent with the particle model of light.

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Answer: D

Explanation:

It is at organ level because the kidney is an organ

W is equal to ∫Fext·dr= -q∫E·dr. The change in the particle's electrostatic potential energy in the external field equals the work done by the external force.

Electric potential is the amount of work required to move a unit positive charge from infinity to that location. As a result, 0 J of work is required by electric force to transport 1 C of charge from point A to point B.

The electric force performs the job, and it is a positive force. Positive work results in a reduction in the system's potential energy. Hence, the potential energy change has a negative sign.

The angle between the force and distance is θ=\(90^{0}\)

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Answer:

there are six types of joints in the human body

Answer: The answer is D. 6

Explanation: Learned in health class a while ago.

Answer:

Use the method on the image and solve it.

The train is accelerating with an initial velocity of 23 m/s, a final velocity of 190 m/s in the time period of 54 seconds, then the acceleration will be 3.09 m/s².

Velocity is the measurement of a particle's or object's displacement with relation to time. The recognized unit of magnitude for velocity is the meter per second (m/s) (also known as speed).

There are several ways to show a velocity vector's direction, depending on how many dimensions are provided.

The given values in the question are,

Initial velocity, u = 23 m/s

Final velocity, v = 190 m/s and,

Time, t =54 seconds.

By putting the formula of the equation of motion :

v = u + at

190 = 23 + (a)(54)

a = 167/54

a = 3.09 m/s².

Hence, the acceleration of the train is equal to 3.09 m/s².

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Answer: \(0\ ms^{-1}\)

Explanation:

Given

If an object reaches the topmost point i.e. it cannot travel beyond that point as its velocity is zero at the topmost point

As some velocity is needed to move the object, so velocity at topmost point is zero

Answer:

The positive charges point away from each other

Explanation:

Why?

Arrows point away from the positive charge and toward the

negative charge.

Explanation:

Suppose that you rubbed a balloon with a sample of animal fur such as a wool sweater or even your own hair. The balloon would likely become charged and its charge would exert a strange influence upon other objects in its vicinity. If some small bits of paper were placed upon a table and the balloon were brought near and held above the paper bits, then the presence of the charged balloon might create a sufficient attraction for the paper bits to raise them off the table. This influence - known as an electric force - occurs even when the charged balloon is held some distance away from the paper bits. The electric force is a non-contact force. Any charged object can exert this force upon other objects - both charged and uncharged objects. One goal of this unit of The Physics Classroom is to understand the nature of the electric force. In this part of Lesson 1, two simple and fundamental statements will be made and explained about the nature of the electric force.

Perhaps you have heard it said so many times that it sounds like a cliché.

Opposites attract. And likes repel.

These two fundamental principles of charge interactions will be used throughout the unit to explain the vast array of static electricity phenomena. As mentioned in the previous section of Lesson 1, there are two types of electrically charged objects - those that contain more protons than electrons and are said to be positively charged and those that contain less protons than electrons and are said to be negatively charged. These two types of electrical charges - positive and negative - are said to be opposite types of charge. And consistent with our fundamental principle of charge interaction, a positively charged object will attract a negatively charged object. Oppositely charged objects will exert an attractive influence upon each other. In contrast to the attractive force between two objects with opposite charges, two objects that are of like charge will repel each other. That is, a positively charged object will exert a repulsive force upon a second positively charged object. This repulsive force will push the two objects apart. Similarly, a negatively charged object will exert a repulsive force upon a second negatively charged object. Objects with like charge repel each other.

The activity where to explore the relationships between the electricity field charged with particles and those of the hockey field

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According to Erik Erickson, people who are most likely to suffer from loneliness are those who have not successfully completed the intimacy versus isolation stage of psycho social development. This stage occurs during young adulthood and involves the development of close, intimate relationships with others. If someone is unable to successfully navigate this stage, they may experience feelings of loneliness and isolation throughout their lives.

There are a number of factors that can contribute to loneliness, including:

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Answer:

C.

Explanation:

grassland are used for cropland

In an ecosystem, as the human population increases grasslands  are used for cropland.

Ecosystem is defined as a system which consists of all living organisms and the physical components with which the living beings interact. The abiotic and biotic components are linked to each other through nutrient cycles and flow of energy.

Energy enters the system through the process of photosynthesis .Animals play an important role in transfer of energy as they feed on each other.As a result of this transfer of matter and energy takes place through the system .Living organisms also influence the quantity of biomass present.By decomposition of dead plants and animals by microbes nutrients are released back in to the soil.

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Answer:modeled as an electromagnetic wave. In this model, a changing electric field creates a changing magnetic field.

Explanation:

The frequency is the number of waves that traverse a spot in a specific amount of time.

the quantity of times something happens in a certain amount of time. -the number of waves passing a point per second is the frequency of a wave. - The hertz is a measure of frequency ( Hz ). One event occurs every second in a hertz. Shorter wavelengths will equate to lower frequencies if the speed is remained constant.

The frequency of a wave determines its properties. The quantity of waves that pass through a specific spot in a unit of time is known as frequency. Hertz is the S.I. unit for frequency (Hz).

For instance, if a wave travels through a spot in 0.5 seconds, its frequency will be 1 0.5 = 2 Hz.

As a result, two waves will go through that location in a second.

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The voltage across the inductor and capacitor are equal and opposite, the voltage across the resistor, \(V_{r}\), must be equal to the voltage of the generator, \(V(t)\). Thus, \(V(t) = V_{r} = 170 V\).

An RLC series circuit can be defined as a circuit that includes one resistor, one inductor, and one capacitor that are all connected in series. Such a circuit has numerous practical applications and is typically utilized as a bandpass filter or in the creation of oscillators. The circuit is also known as a "resonant circuit," because it has the ability to resonate at a specific frequency, known as the resonant frequency. Consider the following RLC series circuit, which has an R-value of 100.0 Ω, an L-value of 0.70 H, and a C-value of 10.0 µF, connected to a generator with an emf \(V(t) = V_{max}\) cos(ωt), where \(V_{max} = 170 V\) and ω = 339 rad/s. The following is a brief description of the RLC series circuit:

At ω = 0, the capacitor in the circuit behaves as an open circuit, while the inductor behaves as a short circuit. As a result, the current flowing through the circuit is zero.

At high frequencies, the capacitor behaves as a short circuit, and the current flowing through the circuit is simply that which is determined by the resistance.

At the resonant frequency, the capacitor and inductor currents are equal and opposite, and the total current flowing through the circuit is zero. The resonant frequency, ω0, of the circuit can be calculated using the formula:ω0 = 1/√(LC)At the resonant frequency, the impedance, Z, of the circuit is equal to the resistance, R, of the circuit. The total current flowing through the circuit is the voltage divided by the impedance: I = Vmax/R.

The above RLC series circuit with an R-value of 100.0 Ω, an L-value of 0.70 H, and a C-value of 10.0 µF, connected to a generator with an emf \(V(t) = V_{max}\) cos(ωt), where \(V_{max} = 170 V\) and ω = 339 rad/s, can be analyzed in the following way:

At resonance, the impedance of the circuit is R = 100.0 Ω, and the total current flowing through the circuit is \(I = \frac{V_{max}}{R} = 1.70 A\). The phase angle of the circuit can be determined using the following formula:

tan θ \(= \frac{X_{l}- X_{c}}{R}\) Where Xl = ωL is the inductive reactance and \(X_{c}\) = 1/ωC is the capacitive reactance. At resonance, \(X_{l}= X_{c}\) = 1/ωC = ωL. As a result, the phase angle of the circuit is zero (cos θ = 1 and sin θ = 0), and the current and voltage are in phase with each other. The voltage across the inductor is \(V_{l} = X_{L}*I = I*\)ωL = 1.19 V, while the voltage across the capacitor is \(V_{c} = X_{c}*I = I\)/(ωC) = 53.77 V.

Since the voltage across the inductor and capacitor are equal and opposite, the voltage across the resistor, Vr, must be equal to the voltage of the generator, V(t). Thus, \(V(t) = V_{r} = 170 V\).

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The torque about the center of mass of the beam is 0 Nm.

To calculate the torque about the center of mass of the beam, follow these steps:
1. Identify the forces acting on the beam:

At the east end, there is a 200 N downward force, and at the west end, there is a 200 N upward force.
2. Calculate the distance from the center of mass to each force:

Since the beam is 2.00 m long, the center of mass is at the midpoint, which is 1.00 m from each end.
3. Calculate the torque due to each force:

Torque is the product of force and the perpendicular distance from the center of mass.

For each force, the torque will be 200 N * 1.00 m = 200 Nm.
4. Determine the direction of each torque:

The downward force at the east end creates a counterclockwise torque, while the upward force at the west end creates a clockwise torque.
5. Calculate the net torque about the center of mass:

Since both torques have the same magnitude but act in opposite directions, the net torque is 0 Nm.

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The momentum of the box is 21.2 kg m/s.

Momentum is a concept in physics that describes the tendency of an object to keep moving in the same direction unless acted on by an external force. Momentum is a vector quantity, which means it has both a magnitude (or size) and a direction. It is defined as the product of an object's mass and its velocity. Momentum is related to inertia, which is an object's resistance to change in motion. Momentum can be transferred between objects when they collide or interact in some other way.

Momentum is the product of mass and velocity. In this case, the box has a mass of 2kg and its velocity can be calculated using the equation for a body sliding down an inclined plane:
V = √2gh, where V is the velocity, g is the acceleration due to gravity (9.81 m/s2), h is the height of the ramp (3m).

Using this equation, the velocity of the box at the bottom of the ramp is 10.6 m/s. Therefore, the momentum of the box is 21.2 kg m/s. Momentum can also be calculated using the equation p = mv, where p is momentum, m is mass and v is velocity. Using this equation, the momentum of the box is 21.2 kg m/s.

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