An object accelerates from rest with a constant acceleration of 7.5 m/s2. How fast will it
be traveling after it goes 12 m?

Answers

Answer 1

Answer:

13.4 m/s

Explanation:

Given:

Δx = 12 m

v₀ = 0 m/s

a = 7.5 m/s²

Find: v

v² = v₀² + 2aΔx

v² = (0 m/s)² + 2 (7.5 m/s²) (12 m)

v ≈ 13.4 m/s


Related Questions

The work done by a certain force is given by W(Δx)=aΔx+b(Δx)3.Write an expression for the force as a function of Δx.Express your answer in terms of some or all of the variables a, b, and Δx.

Answers

To find the expression for the force as a function of Δx, we need to use the work-energy principle, which states that the work done by a force is equal to the change in kinetic energy of the object. In this case, we have W(Δx) = aΔx + b(Δx)^3, which represents the work done by the force.

To find the force as a function of Δx, we can differentiate the work equation with respect to Δx. This gives us the expression for the force as follows: F(Δx) = dW/d(Δx) = a + 3b(Δx)^2

So, the expression for the force as a function of Δx is F(Δx) = a + 3b(Δx)^2. This equation shows that the force is a function of Δx, and it depends on the values of a and b. The force increases with the square of Δx, which means that it is a non-linear function.

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Can someone please help

Can someone please help

Answers

99.16 Newtons is the new force of attraction between the particles.

What causes an atoms to attract one another?

The forces that hold atoms together to create molecules and solids are referred to as chemical bonds. The attraction between the electrons of one atom and the nuclei of another atom as a result of this electric force is what is known as a chemical bond.

\(F = (kq1q2)/r^2\)

\(9,916 = (kq1q2)/r^2\)

\(F = (k*(q1/5)*(q2/5))/(2r)^2\)

\(F = (1/100)((kq1*q2)/(r^2))\)

So, the new force of attraction is:

\(F = (1/100)*9,916 = 99.16\)Newtons (rounded to 4 decimal places)

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Both circles have the same center. The circumference of the inner circle is 117.436 centimeters. What is the area of the shaded region?

Answers

The area of the shaded region is 4621.5 cm2 - 1083.8 cm2 = 3537.7 cm.

What is area?

Area is the space or size of a two-dimensional surface or shape. It is a measure of the size of a surface and is typically expressed in square units, such as square feet or square meters. Area is usually calculated by multiplying the length of a shape by its width. For example, the area of a rectangle with a length of 4 feet and a width of 3 feet is 12 square feet. Area can also be calculated for shapes with curved sides such as circles, triangles, and other polygons.

The shaded region is the area between the two circles. To calculate the area of the shaded region, we need to subtract the area of the inner circle from the area of the outer circle.

The area of the outer circle can be calculated using the formula A = πr2, where r is the radius of the circle. Since the two circles have the same center, the radius of the outer circle is twice the radius of the inner circle.

Therefore, the radius of the outer circle is 2 × (117.436/2π) = 38.212 cm.

The area of the outer circle is A = π × 38.212^2 = 4621.5 cm2.

The area of the inner circle can be calculated using the same formula: A = πr2. The radius of the inner circle is (117.436/2π) = 18.606 cm.

The area of the inner circle is A = π × 18.606^2 = 1083.8 cm2.

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A ball is thrown horizontally from a 11 m high building with a speed of 9.0 m/s.

How far from the base of the building does the ball hit the ground?
Express the answer using two significant figures.

Answers

Answer:

the answer to you're question is d=9

Earthquake waves are 35m long and arrive at a frequency of 2.0Hz. How fast are they travelling?

Answers

Answer:

70 m/s

Explanation:

The frequency of earthquake = 2.0 Hz

The wavelength = 35 m

How fastbthw earthquake is t traveling is given bythw velocity of the wave, velocity of wave is related to frequency and wavelength using the formula :

V = frequency * wavelength

V = 2 * 35

V = 70 m/s

Two 5.0-cm-diameter metal disks separated by a0.61-mm-thick piece of Pyrex glass are charged to a potential difference of 1300V . (Dielectric constant of the Pyrex glass is Pkpyrex=4.7.)
A) What is the surface charge density on the disks?
B) What is the surface charge density on the glass?

Answers

The surface charge density on the disks is, \(4.3910^{-5} C/m^2\). The surface charge density on the glass is, σ = \(-4.39\times 10^{-5} C/m^2\).

We can solve this problem using the capacitance equation for a parallel plate capacitor with a dielectric material between the plates:

C = εA/d

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

The potential difference V between the plates is related to the charge Q on the plates and the capacitance C by:

V = Q/C

The capacitance of the parallel plate capacitor is:

C = εA/d = \((4.78.85\times 10^{-12} \text{ F/m})\times \dfrac{\pi (0.025 m)^2}{0.00061 m}\)

\(= 4.22 \times 10^{-11} F\)

The charge on each plate is:

Q = CV

\(= (4.22\times 10^{-11} F)(1300 V)\\\\ = 5.48\times10^{-8} C\)

The surface charge density on each disk is:

\(\sigma = Q/A\\\\ = 2\dfrac{Q}{\pi r^2}\\\\ = \dfrac{2(5.4810^{-8} C)}{\pi (0.025 m)^2}\\\\ = 4.3910^{-5} C/m^2\)

The surface charge density on the Pyrex glass is equal and opposite to the surface charge density on the disks. This is because the total charge on the system must be conserved. Therefore, the surface charge density on the Pyrex glass is:

σ = \(-4.39\times 10^{-5} C/m^2\)

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Match each problem with the correct utility.
the computer is running slowly
sensitive information is not secure
sending a large video file through email
computers in a small business that can't share
information
:: SOHO
:: compression utility
III I
:: encryption :: defragmentation utility

Match each problem with the correct utility.the computer is running slowlysensitive information is not

Answers

Defragmentation utility: the computer is running slowly.Encryption: sensitive information is not secure.Compression utility: sending a large video file through email.SOHO: computers in a small business that can't share information.

What is an encryption?

An encryption can be defined as a form of cryptography and it typically involves the process of converting or encoding information in plain text into a code, known as a ciphertext. Generally speaking, an information or data that has been encrypted it can only be accessed and deciphered by an authorized user.

This ultimately implies that, an encryption simply refers to a utility which can be used by an end user to to secure his or her sensitive information from unauthorized access or theft by a hacker (attacker).

In Computer programming, some examples of encryption algorithms include the following:

3DESAESRC4RC5RSA

In Computer technology, a defragmentation utility helps to reorganize (rearrange) the data stored on a disk drive and as such, it would make a computer system to run faster. Also, a compression utility is a type of utility which can be used to reduce the size of a large video file that is to be sent through an email.

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there are two roads to climb a mountain one is 400m from north side and other is 800m from south.which road is easier to climb and why?

Answers

Besides the distance of the peak from the base, the road to the peak of the mountain is easier and would also be dependent on:

the distance of the base camp from the sea level, the force of the wind on each side,  the terrain slope of each terrain, andAmount of safe camps that permit rescue operations if need be.

What is the rationale for the above answer?

Taking a real-world example, in the case of Mount Everest for example, the South route is easier and preferable because it is more consistent and has two camps from which rescue can be executed.

The North side of it, on the other hand, is relatively gentler in slope but very inconsistent, is subject to very strong gusts of wind which has the capacity to put climbers off balance, and starts at a higher altitude thus, giving climbers higher exposure to altitude sickness.

Thus, the ideal part that will be easier to climb would be the side that:

Slopes gently toward the peakIs not subject to high wind speedsStarts out at a lower altitude Has more safe camps for rescue and Has a more friendly and consistent terrain. However, the conditions of nature aren't always ideal.

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so I'm 6'0 and I'm in high school and I'm really good at football and basketball but I only want to choose one what do yall think​

Answers

Answer:basketball

Explanation: football is a one way ticket to brain damage

which of the following options best describes a solid object

Answers

Answer:

Which of the following correctly describes a solid? Explanation: A solid is defined as having a definite shape and definite volume. A liquid is defined as having a definite volume, but not a definite shape.

The basic principle behind the simple DC motor is that wires that carry experience when placed in regions of space that have

Answers

The principle of DC motor is based on Fleming’s left hand rule. i.e., the current carrying wires experiences a force when placed in region of space that have magnetic field.

According to Fleming’s left hand rule Stretch the thumb, forefinger, and middle finger of the left hand until they are parallel to one another. If the thumb is pointing in the direction of motion, or the force acting on the conductor, and the middle finger is pointing in the direction of the magnetic field, the forefinger is pointing in the direction of current flow.

An armature revolves inside a magnetic field of a DC motor. A DC motor's fundamental operating concept is based on the idea that whenever a current-carrying conductor is positioned inside a magnetic field, that conductor will experience mechanical force.

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what is the equation for newton’s second law of motion, in terms of mass, velocity and time, when the mass of the system is constant?

Answers

Answer:

Newton's second law of motion is F = ma, or force is equal to mass times acceleration.

Please pass this on... ( #helpsavelives )
Who ever is reading this: I love u. U matter.
The world needs u hang in there ik it may be bad but u deserve the world ​

Answers

Answer:

Awww <3 you too! You matter too! thanks for the message!

Explanation:


Explain what is happening in this
induction example.

Explain what is happening in thisinduction example.

Answers

Answer:

An electrical field duh

Explanation:

None needed self explanitory

starting from a pillar, you run a distance 200 m east (the x -direction) at an average speed of 5.0 m/s , and then run a distance 280 m west at an average speed of 4.0 m/s to a post.

Answers

The total displacement is -80 m, indicating that the final position is 80 m west of the initial position (pillar). The total distance traveled is 480 m.

To calculate the total displacement and total distance traveled, we need to consider the directions and magnitudes of the displacements for each segment of the run.

Segment 1:

Distance: 200 m

Direction: East (positive x-direction)

Speed: 5.0 m/s

Segment 2:

Distance: 280 m

Direction: West (negative x-direction)

Speed: 4.0 m/s

Total displacement can be calculated by adding the individual displacements:

Displacement = Displacement in Segment 1 + Displacement in Segment 2

In Segment 1, since the distance is covered in the positive x-direction (east), the displacement is positive:

Displacement in Segment 1 = 200 m (positive)

In Segment 2, the distance is covered in the negative x-direction (west), so the displacement is negative:

Displacement in Segment 2 = -280 m (negative)

Now we can calculate the total displacement:

Total Displacement = Displacement in Segment 1 + Displacement in Segment 2

= 200 m + (-280 m)

= -80 m

The total displacement is -80 m, indicating that the final position is 80 m west of the initial position (pillar).

To calculate the total distance traveled, we need to consider the magnitudes of the individual displacements:

Total Distance = Distance in Segment 1 + Distance in Segment 2

= 200 m + 280 m

= 480 m

The total distance traveled is 480 m.

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electrons are ejected from a metallic surface with speeds ranging up to 2.50 x 108 m/s when light with a wavelength of 1.50 10 12m − l = × is used

Answers

The work function of the metal is found to be about 3.31 x 10^-19 J.

This phenomenon is known as the photoelectric effect. The energy of a photon of light is directly proportional to its frequency (E = hf) and inversely proportional to its wavelength (E = hc/λ), where h is Planck's constant, c is the speed of light, and λ is the wavelength.

In the case of the given wavelength of 1.50 x 10^-12m, the energy of each photon is calculated to be E = hc/λ = (6.63 x 10^-34 J s) x (3.00 x 10^8 m/s) / (1.50 x 10^-12 m) = 4.97 x 10^-19 J.

When this light is incident on a metallic surface, the photons can transfer their energy to the electrons in the metal, causing them to be ejected from the surface.

The maximum kinetic energy of the ejected electrons can be calculated using the equation Kmax = hf - φ, where φ is the work function of the metal (the minimum amount of energy required to remove an electron from the surface).

If we assume that all the energy of each photon is transferred to a single electron, then the maximum kinetic energy of the ejected electrons would be Kmax = hf - φ = (4.97 x 10^-19 J) - φ.

From the given information, we know that the electrons are ejected with speeds ranging up to 2.50 x 10^8 m/s. Using the equation for kinetic energy, we can find the mass of the ejected electron, which turns out to be about 9.11 x 10^-31 kg (the mass of an electron).

Then, using the equation for kinetic energy again, we can solve for the work function of the metal, which is found to be about φ = 3.31 x 10^-19 J.

In summary, when light with a wavelength of 1.50 x 10^-12m is incident on a metallic surface, the photons can transfer their energy to the electrons in the metal, causing them to be ejected with speeds ranging up to 2.50 x 10^8 m/s.

The maximum kinetic energy of the ejected electrons depends on the frequency of the light and the work function of the metal. In this case, the work function of the metal is found to be about 3.31 x 10^-19 J.

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What is
meant by (a) Material Properties ( b) Mass Fabric and (c) Mass
Properties in Price's verbal Equation?

Answers

In Price's verbal equation, material properties refer to the characteristics and behaviors of a material, mass fabric relates to the distribution and arrangement of mass within a structure, and mass properties involve the quantitative measures of mass distribution and its effects on the structural performance.

(a) Material properties in Price's verbal equation pertain to the specific attributes and qualities of a material that influence its mechanical behavior, such as strength, stiffness, density, thermal conductivity, and elasticity. These properties determine how a material will respond to external forces and environmental conditions, and they play a crucial role in the design and analysis of structures.

(b) Mass fabric refers to the spatial arrangement and distribution of mass within a structure. It considers the organization, orientation, and connectivity of the structural elements that contribute to the overall mass distribution. Mass fabric affects the structural behavior, load transfer paths, and structural efficiency of a system. By understanding the mass fabric, engineers can optimize the arrangement of components to achieve desired structural performance.

(c) Mass properties involve the quantitative measures of mass distribution within a structure and its impact on its mechanical behavior. Mass properties include parameters such as mass, center of mass, moments of inertia, and radii of gyration. These properties provide important information for analyzing the dynamic response, stability, and vibrational characteristics of structures. They also influence the structural design, material selection, and optimization processes.

In Price's verbal equation, these concepts collectively contribute to understanding the behavior and performance of structures, enabling engineers to make informed decisions in design, analysis, and optimization. By considering material properties, mass fabric, and mass properties, a comprehensive understanding of the structural system can be achieved.

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what is motion ??????​

Answers

Answer:

In physics, motion is the phenomenon in which an object changes its position with respect to time. Motion is mathematically described in terms of displacement, distance, velocity, acceleration, speed

Explanation:

I got this off internet. Hope it helps!

what is a rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down?

Answers

The rocket engine that fires against the direction a spacecraft is headed so the spacecraft slows down is called Retro engine.

Spacecraft are the space automobiles that might be capable of flying out of doors of the Earth’s ecosystem in the area. They offer us a method of transportation from the Earth to the area and objects in it. There may be numerous spacecraft that are familiar to most of people e.g. Apollo 11 which took Neil Armstrong and his group to the Moon.

Crewed Spacecraft – Crewed spacecraft are the ones that carry people to the area. There have been several crewed spacecraft to the area consisting of Vostok 1 – the first crewed spacecraft in records dispatched by way of the United States of America.

Earth-Orbit Satellites – all of the satellites, which orbit across the Earth, fall in this class. The maximum tremendous satellite in orbit on the Earth is Hubble Telescope.

Space Probe – these are unmanned spacecraft that might be fitted with medical instruments for exploring objects in space e.g. planets, Moon, and solar.

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consider a projectile fired vertically in a constant gravitational field. for the same initial velocities, find the times required for the projectile to reach its maximum height (a) with no resisting force and (b) for a resisting force proportional to the instantaneous velocity of the projectile. (c) show that the result in (a) can be recovered from the result in (b).

Answers

Compare the amount of time needed is for projectile to go from its initial velocity to its highest point. (A) for a resistive force of zero.

What types of things are velocities?

A number called velocity describes the speed and direction of a point's motion. Because it has both direction and magnitude, velocity is referred to as a linear momentum and cannot be fully expressed in numerical terms, unlike time or length, that are scalar numbers.

How is speed measured?

According to the equation v = s/t, velocity (v) is indeed a vector quantity which quantifies displacement (and change in position, s), over change in time (t).

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A coin released at rest from the top of a tower hits the ground after falling 1.5 s. What is the speed of the coin as it hits the ground? (Disregard air resistance. a = −g = −9.81 m/s 2 .)

Answers

Initial speed of the coin (u)= 0 (As the coin is released from rest)

Acceleration due to gravity (a) = g = 9.81 m/s²

Time of fall (t) = 1.5 s

From equation of motion we have:

\( \boxed{ \bf{v = u + at}}\)

By substituting values in the equation, we get:

\( \longrightarrow \) v = 0 + 9.81 × 1.5

\( \longrightarrow \) v = 14.715 m/s

\( \therefore \) Speed of the coin as it hits the ground/Final speed of the coin = 14.715 m/s

The speed of the coin as it hits the ground is 14.715 m/s.

We can solve the problem above using the equation of acceleration under gravity.

⇒ Equation:

v = u+gt................... Equation 1

⇒ Where:

The final velocity of the coinu = Initial velocity of the coing = acceleration due to gravityt = time

From the question,

⇒ Given:

u = 0 m/s (from rest)t = 1.5 sg = -9.81 m/s²

Substitute these values into equation 1

v = 0+1.5(-9.81)v = -14.715 m/s

Note the speed has a negative sign because it acts in the same direction as the acceleration due to gravity

Hence, the speed of the coin as it hits the ground is 14.715 m/s.

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does the area of contact affect the coefficient of friction

Answers

Yes, the area of contact between two surfaces does affect the coefficient of friction. A larger contact area generally results in a higher coefficient of friction.

The coefficient of friction is a dimensionless value that represents the relationship between the force of friction and the normal force pressing the surfaces together. It is influenced by various factors, and one of them is the area of contact.

When the area of contact is larger, there is generally more surface area available for friction to occur. This can result in increased frictional forces between the surfaces, leading to a higher coefficient of friction. Conversely, when the area of contact is smaller, there is less surface area available for friction, which can result in reduced frictional forces and a lower coefficient of friction.

However, it is important to note that the coefficient of friction also depends on other factors, such as the nature of the surfaces in contact and the presence of any lubricants or roughness on the surfaces.

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A 350 kg horse and 50.0 kg rider are riding together at a speed of 19.0 m/s. Keeping the kinetic energy the same, what would be the speed of a 100 kg rider on the same horse?

Answers

The speed of a 100 kg rider on the same horse, keeping the kinetic energy the same, would be approximately 15.8 m/s.

1. Calculate the total mass of the horse and the first rider: 350 kg (horse) + 50 kg (rider) = 400 kg

2. Calculate the initial kinetic energy (KE) using the formula \(KE = 0.5 * m * v^{2}\), where m is mass and v is velocity:

\(KE_{initial} = 0.5 * 400 kg * (19.0 m/s)^{2}\) = 72,200 J (joules)

3. Calculate the total mass of the horse and the second rider: 350 kg (horse) + 100 kg (rider) = 450 kg

4. Keeping the kinetic energy the same, use the KE formula to solve for the velocity of the second rider final v

\(KE_{initial} = 0.5 * 450 kg * v_{final}^{2}\)

\(72,200 J = 0.5 * 450 kg * v_{final}^{2}\)

5. Solve for \(v_{final}\):

\(v_{final}^{2} = 320\)

\(v_{final} = \sqrt{320} = 15.8 m/s\)

If a 100 kg rider were to ride the same horse with the same kinetic energy, their speed would be approximately 15.8 m/s.  

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While driving a car the air inside of the tires heats up and causes
the tires to expand. Which law of thermodynamics is this an
example of?
0th law
1st law
2nd law
3rd law

Answers

This is an example of the ideal gas law, which is a combination of the three laws of thermodynamics.

What is ideal gas law?

The ideal gas law relates the pressure, volume, temperature, and number of particles in a gas:

PV = nRT

where;

P is the pressure, V is the volume, n is the number of particles, R is the gas constant, and T is the temperature.

When the car is driven, the friction between the tires and the road causes the tires to heat up. As the temperature of the air inside the tires increases, the gas particles move faster and collide more frequently with the tire walls, causing the pressure inside the tires to increase.

According to the ideal gas law, an increase in temperature causes an increase in pressure, assuming that the volume and number of particles remain constant. Therefore, the expansion of the tires due to heating is an example of the ideal gas law.

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Carbon dioxide undergoes a phase change called sublimation, how does a single molecule of carbon dioxide change as a result of this process in terms of its energy and physical characteristics? a. There is a physical change from a gas to a liquid; energy is released into the environment reducing the molecular movement. b. There is a physical change from the solid state to a gas state where energy between the molecules increases. c. There is a chemical change between the carbona nd oxygen resulting int he formation of oxygen gas which has more energy d. There is a chemical change as the carbon dioxide is transferred from a liquid to a solid reducing the amount of energy

Answers

The correct answer is(b). There is a physical change from the solid state to a gas state where energy between the molecules increases.

What is the process of sublimation in carbon dioxide?

During sublimation, carbon dioxide transitions directly from the solid state (dry ice) to the gas state without passing through the liquid phase. In this process, individual molecules of carbon dioxide gain energy from the surroundings, leading to an increase in their kinetic energy and molecular movement.

As a result, the carbon dioxide molecules separate from each other and form a gas. This phase change is considered a physical change rather than a chemical change since the chemical composition of carbon dioxide remains the same throughout the process.

Therefore, the sublimation of carbon dioxide results in a physical change where the molecules transition from the solid state to the gas state, gaining energy and increasing their molecular movement.

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What is quantum tunneling

Answers

Quantum tunneling can be described as a quantum mechanical process where wavefunctions can penetrate through a potential barrier.

In which system Quantum tunneling can be observed?

The transmission via the potential barrier can be finite and also depend upon the barrier width as well as barrier height. The wave functions have the probability of disappearing on one side and reappear on the remaining side.

The 1st derivative of the wave functions is generally continuous. In the steady state, the probability flux is spatially uniform and no wave or particle is eliminated. Tunneling can occur with barriers of thickness about 1 to 3 nm and smaller.

Quantum tunneling plays a crucial role in phenomena such as nuclear fusion and α-radioactive decay of atomic nuclei. Quantum tunneling has applications in the tunnel diode, in scanning tunneling microscope, and in quantum computing.

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Quantum tunneling is a phenomenon in quantum mechanics where wavefunctions can pass through a potential barrier. It is a process that defies classical physics, where particles would be expected to bounce back when they encounter a barrier.

In quantum mechanics, particles are described by wavefunctions, which are mathematical representations of their quantum states. These wavefunctions can extend into regions that are classically forbidden, such as inside a potential barrier.

The probability of a particle "tunneling" through the barrier depends on various factors, including the width and height of the barrier. The wavefunctions have a certain probability of disappearing on one side of the barrier and reappearing on the other side.

One important characteristic of quantum tunneling is that the first derivative of the wavefunctions is generally continuous. This means that there is a smooth transition between the regions before and after the barrier. In the steady state, the probability flux is spatially uniform, meaning that no waves or particles are lost during the tunneling process.

Quantum tunneling has significant implications in various areas of physics. It plays a crucial role in phenomena such as nuclear fusion and alpha-radioactive decay of atomic nuclei. It also has practical applications, such as in tunnel diodes, scanning tunneling microscopes, and quantum computing.

Quantum tunneling is a fascinating phenomenon in quantum mechanics where particles can pass through potential barriers that classical physics would consider impossible to overcome.

In classical physics, particles are confined to their energy levels and cannot pass through energy barriers unless they have enough energy to overcome them. However, in quantum mechanics, particles can exhibit wave-like behavior and their wavefunctions can extend beyond the physical boundaries we would expect them to be confined to.

When a particle encounters a potential barrier, there is a probability that its wavefunction can penetrate through the barrier and appear on the other side. This means that even if the particle does not have enough energy to overcome the barrier classically, there is still a chance that it can "tunnel" through the barrier and continue its motion on the other side.

The probability of tunneling depends on factors such as the width and height of the potential barrier. In some cases, the wavefunction can completely disappear on one side of the barrier and reappear on the other side.

Quantum tunneling is not limited to any specific system but can occur in a wide range of phenomena. It has been observed in nuclear fusion, where particles overcome the Coulomb repulsion barrier and fuse together. It also plays a role in the alpha decay of atomic nuclei. Additionally, quantum tunneling has practical applications in devices like tunnel diodes, which exploit this phenomenon to create unique electrical behavior.

Overall, quantum tunneling is a fundamental concept in quantum mechanics that allows particles to defy classical limitations and pass through barriers that would be impossible to overcome classically.

3. A runner has constant acceleration for 6.4 seconds over a 20 m distance starting from rest.
What is the acceleration of the runner?
a.
b. If it takes the runner 6.4 s to run the 20 m distance, what is the runner's final velocity?

Answers

Answer:

You need to use the equations of motion which I wrote down in the image. Since the runner starts from rest, the initial velocity(v0) is 0 and initial position(x0) is also 0. The solution is in the image attached below.

3. A runner has constant acceleration for 6.4 seconds over a 20 m distance starting from rest.What is

when a 0.106 kg mass is suspended at rest from a certain spring, the spring stretches 3.80 cm. find the instantaneous acceleration of the mass when it is raised 6.30 cm, compressing the spring 2.50 cm.

Answers

The instantaneous acceleration of the mass when it is raised 6.30 cm and compresses the spring 2.50 cm is 16.26 m/s^2.

To solve this problem, we can use the equation for the force exerted by a spring:

F = -kx

When the mass is suspended at rest from the spring, the force exerted by the spring balances the weight of the mass, so we can write:

kx = mg

Solving for the spring constant, we get:

k = mg / x

Substituting the given values, we have:

k = (0.106 kg)(9.81 m/s^2) / 0.0380 m = 27.36 N/m

When the mass is raised 6.30 cm, the displacement of the spring is x = -0.0250 m (since the spring is compressed by 2.50 cm). The force exerted by the spring is:

F = -kx = -(27.36 N/m)(-0.0250 m) = 0.684 N

By Newton's second law, the net force on the object is:

Fnet = ma

where a is the instantaneous acceleration of the object.

The net force is the sum of the force exerted by the spring and the weight of the object:

Fnet = F + mg = 0.6875 N + (0.106 kg)(9.81 m/s^2) = 1.7239 N

Solving for the acceleration, we get:

a = Fnet / m = 1.7239 N / 0.106 kg = 16.2632 m/s^2

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Will a magnetic compass work properly near an automobile or train?
o No
o Yes
o Not enough information

Answers

No, a magnetic compass will not work properly near an automobile or train and is therefore denoted as option A.

What is a Magnetic compass?

This is referred to as an instrument which is used for determining the direction on the surface of Earth by means of a magnetic pointer that aligns itself with Earth’s magnetic field.

A magnetic compass will not work properly near an automobile or train because the magnetic lines of force are unaffected by paper, glass, or plastic and we are ware that this vehicles have parts such as the windows, engine etc which are made from these type of materials. They will however work properly if these parts are avoided by the user of the compass.

This is therefore the reason why No was chosen as the correct choice in this type of scenario.

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What tool is used to determine the mass of an object?

Answers

A Beam balance (or Beam scale) is a device to measure weight or mass. These are also known as mass scales, weight scales, mass balances, weight balances, or simply scales, balances, or balance scales. You can also use a graduated cylinder and determine the water displaced and figure out the mass of an object this way!

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