Why do seat belts help protect passengers when a car stops quickly? Explain your answer in terms of forces and motions.

The object depicted by the graph initially moves at a speed of 25 m/s.

The rate at which the position of an item changes with respect to time is represented by the vector quantity known as velocity. It is calculated by dividing an object's displacement by the time period during which the displacement took place.

Velocity is a phrase used to more simply define the direction and speed of an object's motion. Both the direction and the speed of an object's motion are specified. The International System of Units (SI) uses metres per second (m/s) as the standard unit for measuring velocity.

We must look at the behaviour of the graph before to time 1 second in order to ascertain the initial velocity of the object the graph represents.

From the graph provided,

From the given graph, We can see that from time 0 to time 1 second, the velocity is 25 m/s and stays that way.

As a result, the object's starting velocity is 25 m/s.

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The magnitude of the force exerted by you on your friend is equal to the magnitude of the force exerted by your friend on you.

The information given to us is the you have a tug-of-war with a friend who is the same size and weight as you are. we both pull as hard as we can, but neither of you seems to be winning. You move a little one way or the other, but mostly you are just at rest (although sweating some). The magnitude of the force exerted by you on your friend is equal to the magnitude of the force exerted by your friend on you. This is because of newton's third law of motion that, forces are always equal and opposite, so when you pull on your friend, they pull back on you with an equal and opposite force. Therefore, both forces are the same.

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Answer:

Her displacement is 0 miles and her distance is 5 miles.

Explanation:

Given information:

Sophie runs in an oval track. The length of track is 5 m.

Distance is the total length of path covered during motion while displacement is the shortest distance between initial and final position.

In this case, Sophie completes one cycle in the oval track and the track length is 5 m. So, the distance covered by her will be 5 m.

Now, after completing the track, the initial and final position of Sophie will be same and hence, the displacement she covered will be 0 miles.

Therefore, option "Her displacement is 0 mile and her distance is 5 miles" is correct.

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The displacement of Sophie is 0 and her distance is 5 m

The displacement of Sophie is the change in her position.

If she runs in an oval track, she will return to her initial starting position. The initial position and the final position will be equal, the change in her displacement will be zero.

\(\Delta x = x_f- x_i\\\\\Delta x = 5 - 5 = 0\)

The distance traveled by Sophie is the sum of the total distance covered.

distance = 5 m

Thus, the displacement of Sophie is 0 and her distance is 5 m

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:The statement "The book of Acts is a good source of wisdom regarding friends" cannot be definitively categorized as true or false without additional context or personal interpretation.

The book of Acts, which is a part of the New Testament in the Bible, contains accounts of early Christian history and the actions of the apostles.

While it does provide insights into relationships and interactions between individuals, whether it specifically addresses wisdom regarding friends depends on one's interpretation and the specific passages being considered.

The book of Acts primarily focuses on the spread of Christianity, the early church, and the missionary journeys of the apostles. It provides accounts of their interactions with various individuals and communities.

While there are teachings and examples of friendship within the book, such as the close bond between Paul and Barnabas, the book's primary purpose is not to serve as a comprehensive guide specifically focused on wisdom regarding friends.

The interpretation of the book's relevance and wisdom on friendships may vary depending on individual perspectives and contextual analysis of specific passages.

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Answer: a. How the mass of an extended object is distributed about a rotation axis

Explanation: Moment of inertia is defined as the measure of the rotational inertia of a solid object, it is a quantity that defines the torque needed to reach a desired angular acceleration around a given rotation axis, and it depends mainly on the mass distribution of the object, so the correct answer is: "how the mass of an extended object is distributed about a rotation axis"

To determine the distance spanned by the diffraction spot, we need to consider the properties of the diffraction pattern and the given information.

Given:

- The screen is 30 cm behind the fish.

- The entire path of the laser, including the water and tissue, has an index of refraction close to that of water.

- The properties of the diffraction pattern are determined by the wavelength in water.

Since the diffraction pattern is formed by the interaction of light waves with obstacles or apertures, the spot's size or spread depends on factors such as the wavelength of light and the size of the aperture.

Without specific information about the wavelength or aperture size, it is not possible to determine the exact distance spanned by the diffraction spot. Additional details regarding the specific setup or measurements would be necessary to calculate or estimate the distance spanned by the diffraction spot.

Please provide further information or clarify the parameters related to the diffraction setup if you require a more specific answer.

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The information given on the X-axis of the graph attached is the years from 1920-2005 (option B).

A graph in mathematics or statistics is a data chart (graphical representation of data) intended to illustrate the relationship between a set (or sets) of numbers (quantities, measurements or indicative numbers) and a reference set.

A graph consists of two axes namely; X-axis and Y-axis. The x-axis on a graph is usually drawn left to right and usually shows the range of values of an independent variable.

On the other hand, the Y-axis is the axis on a graph that is usually drawn from bottom to top and usually shows the range of values of variable dependent on one other variable.

Therefore, according to the graph illustrated above, the x-axis shows the years from 1920-2005.

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Answer:

Alexander Graham Bell

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Answer:

15kg

Explanation:

mass = weight / gravitational field strength

mass = 150 / 9.8 = 15kg (nearest whole no)

The mass of the object on earth whose weight is 150 N will be 15.3 Kg

Mass is the amount of matter present inside a body. It is defined as the product of density and volume. It remains constant through out the universe. Mathematically -

M = ρV

where -

M is Mass

ρ is density

V is volume

Given is your weight on earth which is equivalent to 150 N.

We know that the weight of of an object is a force exerted by the earth towards its center. It can be written as -

W = mg

Weight of the object = [W] = 150 N

Acceleration due to gravity on earth = [g] = 9.8 m/s²

Substituting the values -

150 = m x 9.8

m = 150/9.8

m = 15.3 Kg

Therefore, the mass of the object on earth whose weight is 150 N will be 15.3 Kg.

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Answer:the distance it travels in each second is decreasing

Explanation:

The calculated flow rate is 31.2 gtt/min, which indicates a fractional value. Depending on the precision of the measurement, rounding may be necessary. So among the choices, option D. 31 gtt/min is correct.

To calculate the flow rate in drops per minute (gtt/min), we need to consider the volume infused per unit of time and the calibration of the tubing.

Given:

Infusion rate: 125 ml/hr

Tubing calibration: 15 gtt/ml

To convert the infusion rate from ml/hr to ml/min, we divide by 60 (since there are 60 minutes in an hour):

125 ml/hr ÷ 60 min/hr = 2.08 ml/min

Now, to find the flow rate in gtt/min, we multiply the infusion rate in ml/min by the tubing calibration factor:

2.08 ml/min × 15 gtt/ml = 31.2 gtt/min

The calculated flow rate is 31.2 gtt/min.

Among the answer choices, D. 31 gtt/min is the closest value to the calculated flow rate. However, it is important to note that the calculated flow rate is 31.2 gtt/min, which indicates a fractional value. Depending on the precision of the measurement, rounding may be necessary.

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As the slit width increases, the diffraction pattern gets narrower and vice versa.

The increase in silt width leads to the narrowing of diffraction pattern of the  light because the increase of width reduces the space for the passing of light wave.

So we can conclude that as the slit width increases, the diffraction pattern gets narrower and vice versa.

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The main and basic action of any single muscle that would have on a body would be the fact that it would contain "contraction" to which your muscle would practically contract each other, which would then give to power to force, push, push, and to make work, and also, to move.

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Answer:

The person above is correct, The Answer is "CONTRATION" just verified it by ap.ex ;)

Explanation:

Work is equivalent to a rate of dissipation of power per unit time. The given statement is true because work and power are related concepts in the realm of physics, transfer and conversion of energy

Work is the amount of energy transferred by a force acting through a distance, and it is typically measured in joules (J). Power, on the other hand, is the rate at which work is done or the rate at which energy is transferred or converted per unit time, and it is measured in watts (W). One watt is equal to one joule per second (1 W = 1 J/s). In a physical process, when work is done on or by a system, energy is transferred between the system and its surroundings, this energy transfer can take various forms, such as kinetic energy, potential energy, or thermal energy.

The dissipation of power refers to the conversion of useful energy into a form that cannot be easily converted back into work, such as heat or sound. The rate of dissipation of power per unit time is, therefore, equivalent to the rate at which work is done or the rate at which energy is transferred in the system. In summary, the statement "work is equivalent to a rate of dissipation of power per unit time" is true, as work and power are related concepts in the realm of physics, describing the transfer and conversion of energy over time.

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Answer:

Las coordenadas del punto son \((x,y) = (6.582\,m, 3.8\,m)\).

Explanation:

La relación entre un vector en formato polar y uno con formato rectangular con respecto al mismo origen queda sintetizado por la siguiente expresión:

\((x, y) = r\cdot (\cos \theta, \sin \theta)\) (1)

Donde:

\(r\) - Magnitud de la distancia del punto con respecto al origen, medido en metros.

\(\theta\) - Dirección del punto con respecto del semieje +x, medido en grados sexagesimales.

\(x,y\) - Coordenadas rectangulares del punto con respecto al origen, medidas en metros.

Si sabemos que \(r = 7.6\,m\) y \(\theta = 30^{\circ}\), entonces las coordenadas rectangulares del punto con respecto al origen son:

\((x,y) = (7.6\,m)\cdot (\cos 30^{\circ}, \sin 30^{\circ})\)

\((x,y) = (6.582\,m, 3.8\,m)\)

Las coordenadas del punto son \((x,y) = (6.582\,m, 3.8\,m)\).

The work done during the process is  506.2 J.

The work done during the process is calculated by applying the following equation.

W = PΔV

W = P ( Vf - Vi )

where;

The final volume of the system is calculated as follows;

Vf = A x h

Vf = 7.4 x 10⁻³ m² x 7.2 x 10⁻² m

Vf = 5.33 x 10⁻⁴ m³

W = 9.5 x 10⁵ Pa x ( 5.33 x 10⁻⁴ m³ - 0 )

W = 506.2 J

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Answer:

The chemical processes maintaining balance within the living organism

Explanation:

The only true statement about the displacement of the spring is, the new spring will have a displacement less than 3m.

option D is the correct answer.

The extension of the spring is calculated by applying the formula for Hooke's law as shown below.

Mathematically, the formula for Hooke's law is given as;

F = kx

where;

At a given applied force and spring constant, the extension of the spring is calculated as;

x = F / k

when the applied force, F, or weight is kept constant, and the spring constant, k, is increased by 300 N/m, the new extension of the spring will decrease since the extension and spring constant are inversely proportional to each other.

If the initial displacement of the spring is 3 m, then the new spring will have a new displacement less than 3 m.

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Answer: 40 hr

Explanation:

When a charged capacitor is disconnected from a battery and the area of the plates is decreasing, the electric field in the capacitor is increasing.

This can be explained by considering the relationship between the electric field, the charge on the plates, and the area of the plates.The electric field in a capacitor is given by the formula E = Q / (ε₀A), where E represents the electric field, Q is the charge on the plates, ε₀ is the permittivity of free space, and A is the area of the plates. When the capacitor is disconnected from the battery, the charge on the plates remains constant. However, as the area of the plates decreases, the denominator in the formula for the electric field (ε₀A) decreases. Since the charge remains the same, this reduction in the denominator results in an increase in the electric field E.

In simpler terms, the electric field in a capacitor is inversely proportional to the area of the plates. As the area decreases, the electric field strengthens. This occurs because the same amount of charge is now concentrated on a smaller surface area, leading to a higher electric field intensity between the plates. Therefore, when a charged capacitor is disconnected from a battery and the area of the plates is decreasing, the electric field in the capacitor increases due to the concentration of charge on a smaller surface area.

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Answer:

After 11.9 seconds, the velocity will increase by approximately 2.7 m/s

Explanation:

Ignoring friction, we can simply say that the speed will increase by

11.9s × 473.3N / 2068.3kg

Which can be expressed as:

11.9s × 473.3kg·m/s² ÷ 2068kg

= (11.9 × 473.3 ÷ 2048.3) (kg·m/s² × s ÷ kg)

≈ 2.7 m/s

Answer:

The Pauling-Branson Award recognizes the contributions of Herman Russell Branson, (1914-1995), one of the first African American physicists to make crystallography the focus of his research.

While momentarily at rest at the top of its path, the ball has gravitational potential energy and possesses kinetic energy due to its motion just before reaching the top. It is not accelerating at this moment due to the balanced forces acting on it.

When the ball is momentarily at rest at the top of its path, it possesses potential energy and kinetic energy.

Potential Energy: At the top of its path, the ball is at its maximum height. At the top of its path, the ball possesses gravitational potential energy as a result of its elevated position with respect to the ground.

Potential Energy = m * g * h

where m is the mass of the ball, g is the acceleration due to gravity, and h is the height of the ball.

Kinetic Energy: Although the ball is momentarily at rest at the top of its path, it still possesses kinetic energy. This is because kinetic energy is the energy of motion, and even though the ball's velocity is momentarily zero, it still possesses kinetic energy due to its motion just before reaching the top of its path.

At the top of the path, the ball is not accelerating. This can be justified by considering the forces acting on the ball. At the highest point of its trajectory, the gravitational force acting downwards is balanced by the normal force exerted by the ground in the upward direction, resulting in a net force of zero. Since there is no net force, the ball experiences zero acceleration at the top of its path.

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Answer: Conduction occurs more readily in solids and liquids, where the particles are closer to together, than in gases, where particles are further apart.

Answer:

conduction occurs when gas becomes liquid.

Answer:

18kW

Explanation:

very LED bulb has a power rating in terms of Watt-hour. It gives the power consumption per hour. For e.g. a 100W light bulb consumes 100W of electricity per hour. If left 'on' for 10 hours, a 100W light bulb costs 1kW and 1 unit of electricity is burned. Because 1 unit = 1 Kw of electricity.

I calculated my electricity consumption in 1 hour with LED Bulb as follows-

LED Bulbs power rating- 15 watt

quantity- 1

No. of hours a day – 12

Wattage in 1 hour – 12(time) x 15(load) x 1(quantity) = 180W = .18kW

So consumption units of power with a LED Bulb consume in 1 hour= .18 Units (because 1 KW = 1 unit)

Answer:

It is estimated that the light sources used as transmitters in the light-wave com munication system in Chicago have the ability to transmit more than 650 voice signals simultaneously.  

Explanation:

The sailplane which is going from Earth to Mars is accelerating at 0.033 m/s² in the direction of solar radiation force.

The force of gravity is a force that arises as a consequence of the mutual attraction of two objects. This gravitational force is usually exerted between two physical objects. Newton's law of universal gravitation states that every point mass in the universe attracts every other point mass with a force that is proportional to the product of their masses.

Acceleration is the rate at which an object changes its speed or direction. Acceleration is a vector quantity that can be positive or negative. If the acceleration is negative, the object slows down. If the acceleration is positive, the object speeds up.

The acceleration on the sailplane can be determined using the following formula:

\(F_{net} = ma\)

Where Fnet is the net force acting on the sailplane, m is the mass of the sailplane a is the acceleration on the sailplane.\(F_{net} = ma\)

The net force acting on the sailplane can be calculated as:

\(F_{net} = F_{rad} - F_{gravitySun} - F_{gravityEarth}\)

Where \(F_{rad}\) is the solar radiation force, \(F_{gravitySun}\) is the gravitational force due to the sun, and \(F_{gravityEarth}\) is the gravitational force due to Earth.

Putting the given values in the above formula:

\(F_{net} = 7.70 \times 10^2 N - 173 N - 1.00 \times 10^2 N = 497 N\)

The acceleration on the sailplane is given as:

\(a = F_{net} / ma = (497\  N) / 14,900 \ kg = 0.033 \ m/s^2\)

The magnitude of the acceleration on the sailplane is 0.033 m/s² (rounded to three significant figures).

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In summary, the amount of time a low mass star will stay on the main sequence is determined by its mass, radius, and temperature. Typically, a low mass star will remain on the main sequence for billions of years.

A low mass star is a star that is small in size, mass, and brightness. It is typically around 0.5-2 solar masses and is relatively cool compared to other types of stars. On the main sequence, which is the period when the star is fusing hydrogen into helium in its core, a low mass star can remain for a very long time. The length of time that a low mass star remains on the main sequence is determined by the rate at which it fuses hydrogen into helium in its core. This rate is determined by the star's mass, radius, and temperature. Generally, the lower the mass of the star, the longer it will remain on the main sequence. For example, a star with a mass of 0.5 solar masses will remain on the main sequence for around 20-30 billion years, while a star with a mass of 1 solar mass will remain on the main sequence for around 10 billion years.

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