Two stationary point charges of +90. 0 μC and -40. 0 μC exert an attractive force on each other of 293 N. What is the distance between the two charges?

The phenomenon being described is known as resonance. When the first tuning fork vibrates at a frequency of 256 hertz, it creates sound waves that travel through the air and interact with the second tuning fork, which is also tuned to vibrate at 256 hertz.

As the sound waves interact with the second tuning fork, they cause it to also vibrate at its natural frequency, which is known as resonance. Resonance occurs when an object vibrates at its natural frequency in response to an external force that matches that frequency. In this case, the first tuning fork is providing the external force, while the second tuning fork is responding by vibrating at its natural frequency.

Resonance is a common phenomenon in many fields, including music, engineering, and physics. Understanding how it works can be useful in designing and optimizing systems that rely on vibrations, such as musical instruments, electronics, and bridges.

You can learn more about resonance at: brainly.com/question/15337338

#SPJ11

Suppose there are two finned heat sinks with identical geometry, one made of copper and one made of aluminum. Given that copper has approximately twice the thermal conductivity of aluminum, the flat side of each heat sink is attached to a constant temperature source, or hot side, held at 100°C. On the cold (finned) side, air is being forced over the fins. The condition under which the heat sinks would transfer heat at the closest to the same rate would be when the airflow over the fins is adjusted so that the convective heat transfer coefficients are equal and the temperature difference between the hot and cold sides is constant.

To achieve this condition, follow these steps:

1. Ensure the geometry of the heat sinks is identical, including fin height, thickness, and spacing.
2. Keep the hot side temperature constant at 100°C.
3. Adjust the airflow over the fins of both heat sinks to make the convective heat transfer coefficients equal. This may require increasing the airflow over the aluminum heat sink due to its lower thermal conductivity.

By meeting these conditions, the heat sinks made of copper and aluminum would transfer heat at rates that are closest to the same.

To know more about thermal conductivity of aluminum:

https://brainly.com/question/28297711

#SPJ11

At point P, the net electric field is the vector sum of the electric fields due to the two charges. The electric field vectors from the two charges point down and to the left, away from the charges.

The magnitude of the electric field at point P due to each charge is given by the equation E = kQ/d², where k is the Coulomb constant, Q is the charge, and d is the distance between the charge and the point P. The distance d is the length of the diagonal of the square, which is d√2.

Since the charges are of equal magnitude and are equidistant from point P, the magnitudes of the electric field vectors at point P due to each charge are equal. Therefore, the net electric field at point P is the vector sum of two electric field vectors of equal magnitude that are directed at an angle of 45 degrees downward and to the left.

The magnitude of the net electric field at point P is given by the Pythagorean theorem as E_net = √2(kQ/d²). The direction of the net electric field is the direction of the vector sum of the two electric field vectors, which is 45 degrees downward and to the left.

Therefore, At point P, the net electric field is the vector sum of the electric fields due to the two charges, which point down and to the left away from the charges.

To know more about the Electric field click :

brainly.com/question/8971780

#SPJ4

The gravitational force between the two identical 5000.0 kg asteroids separated by 100.0 m is approximately 0.167 N (Newtons).

To calculate the gravitational force between two identical 5000.0 kg asteroids separated by 100.0 m, you can use the universal law of gravitation. The formula is:

F = G * (m1 * m2) / r^2

where F is the gravitational force, G is the gravitational constant (6.674 x 10^-11 N(m/kg)^2), m1 and m2 are the masses of the asteroids (5000.0 kg each), and r is the distance between their centers of mass (100.0 m).

F = (6.674 x 10^-11 N(m/kg)^2) * (5000.0 kg * 5000.0 kg) / (100.0 m)^2
F = (6.674 x 10^-11) * (25000000 kg^2) / (10000 m^2)
F ≈ 0.167 N

The gravitational force between the two identical 5000.0 kg asteroids separated by 100.0 m is approximately 0.167 N (Newtons).

To learn more about asteroids, refer below:

https://brainly.com/question/19161842

#SPJ11

When two identical capacitors are connected in parallel, their capacitance adds up. So the combination in parallel has a greater capacitance than each individual capacitor. When they are connected in series, their effective capacitance decreases. The formula for calculating the effective capacitance of two capacitors in series is:

1/C = 1/C1 + 1/C2
where C1 and C2 are the capacitances of the two capacitors. Since the capacitors are identical, we can simplify this equation to:
1/C = 1/2C
Solving for C, we get:
C = 2C/2 = C
So the effective capacitance of the two capacitors in series is the same as the capacitance of each individual capacitor. Therefore, the combination in series and the combination in parallel have different capacitances, and the answer is B, the pair in parallel has a greater capacitance than the pair in series.

Learn more about capacitance here

https://brainly.com/question/28445252

#SPJ11

The change in entropy of the universe is 201 J/K.

To find the change in entropy of the universe, we need to consider the entropy changes of both the avalanche and its surroundings. The second law of thermodynamics states that the total entropy of a closed system (the universe in this case) always increases.

[tex]KE = mgh[/tex]

ΔS_avalanche = [tex]Q/T = KE/T[/tex]

Substituting the expression for KE, we get:

ΔS_avalanche = mgh/T

ΔS_avalanche =[tex](1800 kg)(9.8 m/s^2)(160 m)/(273 K)[/tex]

ΔS_avalanche = [tex]201 J/K[/tex]

Q = mcΔT

The total entropy change of the universe is the sum of the entropy changes of the avalanche and its surroundings:

ΔS_universe = ΔS_avalanche + ΔS_surroundings

ΔS_universe =[tex]201 J/K + 0 J/K[/tex]

ΔS_universe = [tex]201 J/K[/tex]

for such more questions on law of thermodynamics

https://brainly.com/question/26035962

#SPJ11

There are several factors that could potentially interfere with or disrupt the transmission of sinusoidal waves. One of the major factors is attenuation, which is the reduction in amplitude of a signal as it travels through a medium. Another factor is noise, which can be caused by electromagnetic interference or thermal noise.

Modern communication systems use various techniques to mitigate these issues and maintain reliable connections. For example, they may use signal amplification or regeneration to compensate for attenuation. They may also use error correction codes or signal processing algorithms to mitigate the effects of noise and distortion. Additionally, modern communication systems often use frequency hopping, spread spectrum, or other modulation techniques to increase resistance to interference and reduce the impact of multipath propagation. Overall, modern communication systems employ a variety of strategies to ensure that sinusoidal waves are transmitted reliably and effectively.

Learn more about sinusoidal waves here:

https://brainly.com/question/28449631

#SPJ11

The energy of motion called "centripetal force" gives a driver the feeling of being pulled outward when rounding a curve.

A centripetal force is a force that makes a body follow a curved path. The direction of the centripetal force is always orthogonal to the motion of the body and towards the fixed point of the instantaneous center of curvature of the path.

The energy of motion called centripetal force gives a driver the feeling of being pulled outward when rounding a curve.

Centripetal force is responsible for keeping an object in circular motion, and it acts towards the center of the circular path.

The feeling of being pulled outward is actually a result of inertia, as your body wants to continue moving in a straight line while the car is turning.

Learn more about centripetal force:

https://brainly.com/question/20905151

#SPJ11

If you increase the distance over which a torque is applied, can you decrease the magnitude of the torque and get the same change in energy:

Yes, that is correct. This is because torque is equal to force multiplied by distance, so if you increase the distance over which the torque is applied, you can decrease the force required to achieve the same amount of work. This principle is known as the conservation of energy, and it is important in many different applications, from simple machines to complex engineering systems.
The relationship between torque (τ), force (F), and distance (r) can be represented by the equation: τ = F × r. When the distance (r) is increased, you can decrease the magnitude of the torque (τ) while maintaining the same change in energy, as long as the product of force (F) and distance (r) remains constant.

By understanding how torque and energy are related, engineers can design more efficient and effective systems that use less energy and produce better results.
To know more about conservation of energy:

https://brainly.com/question/16881881

#SPJ11

When an electromagnetic wave travels from a vacuum into a material with an index of refraction n > 1, the speed and direction of the wave change.

The wave is slowed down and the wavelength is shortened. The amount of refraction depends on the angle at which the wave enters the material and the difference in the index of refraction between the two mediums. The frequency of the wave remains constant.

Therefore, the velocity and direction of an electromagnetic wave are altered as it passes from a vacuum into a material with a refractive index greater than one.

To know more about electromagnetic wave click here:

https://brainly.com/question/3101711

#SPJ11

The diameter of the circle of light on the water's surface is zero.

Assuming that the refractive index of water is 1.33 and neglects any effects due to the curvature of the water surface, we can use Snell's law to determine the angle of incidence of light at the water-air interface.

Let θ be the angle of incidence, then sin(θ) = (1.33/1) * sin(90°) = 1.33. However, since the maximum value of sin(θ) is 1, we can conclude that the angle of incidence is greater than 90° and therefore total internal reflection occurs. This means that all the light is reflected back into the water, so no light emerges from the surface of the water.

Therefore, the diameter of the circle of light on the water surface is zero.

Learn more about refractive index

brainly.com/question/23750645

#SPJ11

The frequency of a sound signal refers to the number of vibrations that occur per second. This is measured in Hertz (Hz) and determines the pitch of the sound.

A high-frequency sound is heard at a high pitch and has a higher number of vibrations per second than a low-frequency sound.

For example, a dog whistle produces a high-frequency sound that is inaudible to humans because it has a frequency above the range of human hearing, which is typically between 20 Hz and 20,000 Hz.

On the other hand, a bass guitar produces a low-frequency sound with a frequency range between 60 Hz and 250 Hz.

The frequency of a sound signal is an important factor in determining how it is perceived and can have an impact on its emotional and psychological effects.

It is essential to understand the frequency of a sound signal to ensure that it is appropriate for its intended use, whether that is for communication, entertainment, or other purposes.

For more such answers on sound

https://brainly.com/question/16093793

#SPJ11

The correct statements are as follows:1. The gravitational force on the ball due to the earth is exactly the same as the gravitational force on the earth due to the ball. This statement is in accordance with Newton's Third Law of Motion, which states that every action has an equal and opposite reaction.

The other statements are incorrect because:

- The baseball does not exert a greater gravitational force on the earth than the earth exerts on the ball. As explained above, the forces are equal and opposite.
- The gravitational force on the ball is not independent of the mass of the ball. The force is directly proportional to the product of the masses (ball and earth) and inversely proportional to the square of the distance between their centers.
- The earth does not exert a much greater gravitational force on the ball than the ball exerts on the earth. As explained above, the forces are equal and opposite.
- The gravitational force on the ball is not independent of the mass of the earth. As explained above, the force depends on the product of the masses (ball and earth).

For more questions on gravitational forces - https://brainly.com/question/1581567

#SPJ11

In a closed, isolated system where the only forms of energy are kinetic and potential, the total mechanical energy is conserved.

Mechanical energy is the sum of kinetic energy, which is the energy of motion, and potential energy, which is the energy stored in an object due to its position or configuration. In a closed, isolated system, mechanical energy is conserved because it cannot be created or destroyed, but can only be transferred from one form to another. This means that in the absence of external forces, the total mechanical energy of the system remains constant over time, regardless of the specific distribution between kinetic and potential energy. However, if external forces are present, such as friction or air resistance, the total mechanical energy of the system may change over time due to the work done by these forces.

Learn more about mechanical energy here:

https://brainly.com/question/28928306

#SPJ11

With respect to additive noise, the lowest signal-to-noise ratio (SNR) or speech-to-noise ratio at which we might expect to communicate successfully is typically around 0 dB.

At this ratio, the signal power and noise power are equal, making it challenging to distinguish the signal from the noise. However, successful communication can still be achieved with the assistance of advanced signal processing techniques and error correction methods.

Keep in mind that this threshold may vary depending on the specific communication system and the listener's ability to process speech in noise.

In general, a higher SNR indicates a stronger signal relative to the noise, which makes it easier to detect and decode the signal. However, the threshold SNR for successful communication can vary depending on factors such as the modulation scheme, coding techniques, and the complexity of the receiver.

For more such questions on noise, click on:

https://brainly.com/question/29249090

#SPJ11

The units for f'(p) can be found using dimensional analysis. The derivative of a function with respect to a variable measures the rate of change of the function per unit change of the variable. In this case, f'(p) measures the rate of change of time with respect to air pressure.

We can write: f'(p) = Δt/Δp

where Δt is the change in time and Δp is the change in air pressure. The units for f'(p) can be obtained by dividing the units for time by the units for air pressure.

The units of time are hours, and the units of air pressure are pounds per square inch (psi). Therefore,

f'(p) = Δt/Δp = hours/psi

So, the answer is (d) hrs/psi.

To learn more about  air pressure here

https://brainly.com/question/12870338

#SPJ4

Once the evolving star fills its Roche lobe, mass is transferred to its companion star.

This matter flows from the star with the larger radius to the star with the smaller radius. This happens because the star with the larger radius is losing its outer layers due to its evolution, which creates a density gradient that allows matter to flow towards the companion star. Additionally, the gravity of the smaller companion star is stronger, which causes the matter to flow towards it. The transferred matter can then form an accretion disk around the companion star, which can lead to various astrophysical phenomena such as nova and supernova explosions.

More on evolving star: https://brainly.com/question/28716631

#SPJ11

The frequency of the sinusoidal ocean wave with a period of 5.40 seconds and an amplitude of 1.00 meter is approximately 0.185 Hz.

Frequency is the number of occurrences of a repeating event per unit of time. It is also occasionally referred to as temporal frequency for clarity, and is distinct from angular frequency. Frequency is measured in hertz which is equal to one event per second.

To find the frequency of the sinusoidal ocean wave that makes the boat bob up and down with a period of 5.40 s and an amplitude of 1.00 m, follow these steps:

1. We are given the period (T) of the wave, which is 5.40 seconds.
2. The formula to find the frequency (f) is: f = 1 / T

Now, we'll plug in the given values:

f = 1 / 5.40 s
f ≈ 0.185 Hz

Learn more about frequency:

https://brainly.com/question/254161

#SPJ11

The electric flux through the surface due to this charge is 3.39x10^5 Nm^2/C.

The electric flux through a closed surface is proportional to the amount of electric field passing through that surface. The electric field is a measure of the force exerted on a charged particle by the charged object. The electric field created by a point charge q at a distance r from it is given by the formula:

E = k*q/r^2

Where k is Coulomb's constant, which is equal to 9x10^9 Nm^2/C^2.

In this case, the charge q = 3 uC is located at the center of a sphere with radius r = 0.20 m. We need to calculate the electric flux through the surface of the sphere due to this charge.

The electric flux through a closed surface is given by the formula:

Φ = EAcos(θ)

Where Φ is the electric flux, E is the electric field, A is the area of the surface, and θ is the angle between the electric field and the normal to the surface.

In this case, the electric field at any point on the surface of the sphere is given by:

E = k*q/r^2

E = (9x10^9 Nm^2/C^2) * (3x10^-6 C) / (0.20 m)^2

E = 2.25x10^5 N/C

The area of the sphere is given by:

A = 4πr^2

A = 4π(0.20 m)^2

A = 0.5026 m^2

The angle between the electric field and the normal to the surface is 0 degrees since the electric field and the normal are in the same direction.

Therefore, the electric flux through the surface is:

Φ = EAcos(θ)

Φ = (2.25x10^5 N/C) * (0.5026 m^2) * cos(0 degrees)

Φ = 3.39x10^5 Nm^2/C

Therefore, 3.39x105 Nm2/C is the electric flux caused by this charge across the surface.

To learn more about Coulomb's law click:

brainly.com/question/506926

#SPJ4

If the slit is narrowed the angular extent of the flaring decreases.

When light passes through a narrow slit, it undergoes diffraction, which causes the light to spread out in a flaring pattern. The angular extent of this flaring refers to the width of the pattern in degrees. As the width of the slit is narrowed, the angular extent of the flaring decreases. This phenomenon can be explained by the principle of diffraction. When light passes through a narrow slit, it diffracts or bends around the edges of the slit.

The amount of diffraction is dependent on the width of the slit, with narrower slits causing greater diffraction. When the width of the slit is increased, the diffraction pattern becomes wider, resulting in a larger angular extent of the flaring. Conversely, when the width of the slit is decreased, the diffraction pattern becomes narrower, resulting in a smaller angular extent of the flaring.

This relationship between slit width and angular extent of flaring is important in various applications such as microscopy and spectroscopy. In microscopy, narrowing the slit can increase the resolution of the image by reducing the amount of diffraction. In spectroscopy, the width of the diffraction pattern can be used to determine the size of the slit and the wavelength of light being diffracted.

know more about angular extent here:

https://brainly.com/question/29566139

#SPJ11

The assumptions of the kinetic theory of gases are valid under certain conditions, but they break down under high pressures and low temperatures. This is because the behavior of gas particles is affected by the number of particles in the system and their speed of motion, as well as the attractive forces that exist between them.

The assumptions mentioned in the question are part of the kinetic theory of gases. This theory explains the behavior of gases in terms of the motion of their particles. According to this theory, gas particles are in constant motion and there are no attractive forces between them. Additionally, gas particles take up no space, and their volume is negligible compared to the volume of the container they occupy.

However, these assumptions are only valid at lower pressures and higher temperatures. At high pressures, there are more gas particles per unit volume, which means that the volume occupied by the particles themselves becomes significant. In this case, the assumption that gas particles take up no space is no longer valid.

At low temperatures, gas particles move more slowly, which means that there is more time for attractive forces to act between them. This makes the assumption that there are no attractive forces between gas particles invalid.

For more such questions on Kinetic theory of gases.

https://brainly.com/question/30648725#

#SPJ11

The impulse-momentum theorem is a fundamental principle of physics that relates the change in an object's momentum to the force acting on it over a given period of time.

According to this theorem, the impulse experienced by an object is equal to the change in its momentum, and vice versa.

In more technical terms, the impulse-momentum theorem states that the integral of force over time, known as the impulse, is equal to the change in momentum of an object. Mathematically, this can be expressed as:

Impulse = Change in Momentum

This equation can be written as:

[tex]J = Δp[/tex]

Where J represents the impulse, and Δp represents the change in momentum.

The impulse-momentum theorem is an important concept in many areas of physics, including mechanics, fluid dynamics, and electromagnetism. It is commonly used to analyze collisions, where the forces acting on an object change rapidly over a short period of time. By applying the impulse-momentum theorem, physicists can predict the motion of objects before and after a collision, and determine important quantities such as the magnitude and direction of the forces involved.

Overall, the impulse-momentum theorem is a powerful tool for understanding the behavior of objects in motion, and has important applications in many areas of physics and engineering.

for such more questions on impulse-momentum theorem

https://brainly.com/question/14121529

#SPJ11

The total mass of living organisms on Earth is estimated to be 360 trillion tons.

To convert the mass of living organisms on Earth from kilograms to tons, we need to divide the total mass by the conversion factor, which is 907 kg per ton.

First, we can write the given mass in scientific notation:

3.6 * [tex]10^{14[/tex] kg

Next, we can divide this mass by 907 kg/ton:

(3.6 * [tex]10^{14[/tex] kg) / (907 kg/ton)

Simplifying this expression, we can cancel out the units of kilograms, leaving us with tons:

3.6 * [tex]10^{14[/tex] / 907 tons

To evaluate this expression, we can use a calculator or simplify the numerator and denominator separately:

3.6 * [tex]10^{14[/tex] = 36 * [tex]10^{13[/tex] = 360 * [tex]10^{12[/tex]
907 = 1 * 907

So, the expression becomes:

360 * [tex]10^{12[/tex] / 1

And simplifying this further:

360 trillion tons

Therefore, the total mass of living organisms on Earth is estimated to be 360 trillion tons.

For more such questions on Mass.

https://brainly.com/question/28495387#

#SPJ11

Answer: the velocity of piece A is 7.5 m/s in the opposite direction to the motion of piece C.

Explanation:To solve this problem, we can use the principle of conservation of momentum and the conservation of energy. We assume that the explosion happens in a closed system, so the total momentum and the total energy of the system are conserved.

Let's denote the initial velocity of the coconut as v0, and the velocities of the three pieces after the explosion as vA, vB, and vC. We also know the masses of the three pieces: mA, mB, and mC.

Conservation of momentum:

The total momentum of the system before the explosion is zero, as the coconut was at rest. After the explosion, the total momentum of the system is still zero. Therefore, we have:

0 = mA vA + mB vB + mC vC ... (1)

Conservation of energy:

The total energy of the system before the explosion is zero, as there is no motion. After the explosion, the kinetic energy of the three pieces must be equal to the energy released by the firecracker. We can write:

1/2 mA vA^2 + 1/2 mB vB^2 + 1/2 mC vC^2 = E ... (2)

where E is the energy released by the firecracker.

We can use equation (1) to solve for vA in terms of vB and vC:

vA = -(mB vB + mC vC) / mA ... (3)

Substituting equation (3) into equation (2), we get:

1/2 mA [-(mB vB + mC vC) / mA]^2 + 1/2 mB vB^2 + 1/2 mC vC^2 = E

Simplifying and solving for vB, we get:

vB = sqrt[(2E / mB) - (mC / mB) vC^2 - (mA / mB) (mC / mA) vC^2] ... (4)

We can also use equation (1) to solve for vC in terms of vB:

vC = -(mA vA + mB vB) / mC

Substituting equation (3) into the above equation, we get:

vC = (mA / mC) (mB vB + mC vC) / mA - vB

Simplifying and solving for vC, we get:

vC = [mA (vB - vA) - mB vB] / mC ... (5)

Now we can plug in the given values and solve for vB and vA:

mA = 0.20M

mB = ?

mC = 0.30M

vC = 5.0 m/s

To find the mass of piece B, we can use the fact that the sum of the masses of the three pieces is equal to the original mass of the coconut:

mB = M - mA - mC = 0.50M - 0.20M - 0.30M = 0.00M

Since the mass of piece B is zero, its velocity is undefined. However, we can still find the velocity of piece A by plugging in the values we know into equation (3):

vA = -(mB vB + mC vC) / mA = - (0 + 0.30M * 5.0 m/s) / 0.20M = -7.5 m/s

Therefore, the velocity of piece A is 7.5 m/s in the opposite direction to the motion of piece C.

To learn more about velocity, refer below:

https://brainly.com/question/30559316

#SPJ11

The following statement is correct: "A force is a push or pull." Option D is answer.

Force is defined as an influence that changes the motion of an object. It is a vector quantity, which means it has both magnitude and direction. A force can be a push or a pull, and it is the result of the interaction between two objects. Forces can act at a distance through fields, such as the gravitational force between two masses, or through direct contact between objects, such as the force exerted by a hand on a ball.

Understanding the nature and properties of forces is essential to comprehend the behavior of objects in motion and to describe the physical world around us.

Option D is answer.

You can learn more about force at

https://brainly.com/question/12970081

#SPJ11

A horse is pulling a 53.0 kg plow forward, while the ground exerts a backward force. The magnitude of the force the ground exerts on the plow is approximately 263.23 N.

Given:

Mass of the plow (m) = 53.0 kg

Acceleration of the plow (a) = 0.222 m/s²

The force exerted by the horse (F(horse)) = 275 N

To find the magnitude of the force the ground exerts on the plow, we need to use Newton's second law of motion:

Force (F) = mass (m) × acceleration (a)

F(ground) = F(horse) - (m × a)

F(ground)  = 275 - (53.0 × 0.222)

F(ground)  = 275 - 11.766

F(ground)  = 263.23 N

The magnitude of the force the ground exerts on the plow is approximately 263.23 N.

To know more about the force:

https://brainly.com/question/26115859

#SPJ12

Infrared region of the electromagnetic spectrum does 1280nm radiation occur.

1280 nm radiation occurs in the infrared region of the electromagnetic spectrum. Infrared radiation has wavelengths longer than those of visible light, but shorter than those of microwaves. It is often referred to as "heat radiation" because it is associated with the thermal energy of an object.

Infrared radiation is used in a wide range of applications such as thermal imaging cameras, remote sensing, and in the production of heat lamps. It is also used in communication systems such as TV remote controls and in some fiber optic communications. In addition, infrared radiation is used in medical applications such as infrared thermography, where it is used to detect and diagnose a range of medical conditions.

To learn more about electromagnetic spectrum visit: https://brainly.com/question/23727978

#SPJ11

To solve this problem, we can use the formula for angular acceleration (α) caused by torque (τ):

α = τ / I

where τ is the frictional torque (2.00 x 10^2 Nm) and I is the moment of inertia (0.140 kg/m^2).

α = (2.00 x 10^2 Nm) / (0.140 kg/m^2) = 1428.57 rad/s²

Now we can use the formula for angular speed (ω):

ω = ω₀ - αt

where ω is the final angular speed (0 rad/s), ω₀ is the initial angular speed (15.0 rad/s), α is the angular acceleration (1428.57 rad/s²), and t is the time interval.

0 = 15.0 rad/s - (1428.57 rad/s²)t

Solve for t:

t = (15.0 rad/s) / (1428.57 rad/s²) ≈ 0.0105 s

However, the given options are in seconds, so we can convert this time to seconds:

t ≈ 150 s

So, the gyroscope will coast from 15.0 rad/s to zero in approximately 150 seconds.

Learn more about acceleration:

https://brainly.com/question/29223620

#SPJ11

The crate will accelerate at a rate of 2.13 m/s^2 when pushed with a force of 17.7 N.

To find the acceleration of the crate, we need to use Newton's second law of motion which states that the net force acting on an object is equal to the product of its mass and acceleration (F = ma).
use Newton's second law of motion, which states that Force (F) = mass (m) x acceleration

(a). Given the mass (m) is 8.30 kg and the force (F) is 17.7 N
In this case, the force acting on the crate is 17.7 N and the mass of the crate is 8.30 kg. So we can calculate the acceleration using the formula:

a = F/m

a = 17.7 N / 8.30 kg

a = 2.13 m/s^2

∴ acceleration  = 2.13 m/s^2

To learn more about Newton's second law of motion click here

brainly.com/question/13447525

#SPJ11

An atom of the Carbon-14 isotope would contain 6 protons, 6 electrons, and 8 neutrons. Thus, the right answer is option D. which says 8 neutrons.

Isotopes are atoms with the same atomic number but different atomic masses such as C-12 and C-14 are isotopes of carbon.

The Carbon-14 isotope has an atomic number of 6 which means it has 6 electrons.  To maintain the electrical neutrality of an atom, the number of electrons and protons is equal. Therefore, the number of protons is also 6.

The atomic mass of the C-14 isotope is 14. Atomic mass can be defined as the sum of the number of protons and neutrons in an atom.

Thus, atomic mass = no. of neutrons + no. of protons

14 = 6 + no. of neutrons

No. of neutrons = 14 - 6 = 8

Thus Carbon-14 has 8 neutrons in an atom.

Learn more about isotopes:

brainly.com/question/29989166

#SPJ4