are physical quantities and fundamental quantities same
​

The proportionality constant of the moving object experiencing a drag force is 0.01875 Ns²/m².

The work-energy principle states that the work done on an object is equal to its change in kinetic energy. So, the work done by the drag force can be found as follows:

W = (1/8)mv² - (1/2)mv₀²

where m = mass of the object, v = final speed, and v₀ = initial speed.

The work done by the drag force is also given by the formula:

W = ∫F(x)dx

where F(x) = force function and x = position of the object.

In this case, the force function is F(x) = -Cv², since the drag force is in the opposite direction of motion. So:

W = ∫-Cv²dx

Since the force is proportional to v², rewrite this as:

W = -C∫v²dx

Integrating both sides with respect to x:

W = -(1/3)Cv³

So, equating the two expressions for W:

(1/8)mv² - (1/2)mv₀² = -(1/3)Cv³

Substituting m = 0.01 kg, v₀ = 10 m/s, and solving for C:

C = -(3/8) × (m/v₀³) × (v² - v₀²) = -(3/8) × (0.01/10³) × (1/8 × 10² - 10²) = 0.01875 Ns²/m²

Therefore, the proportionality constant is C = 0.01875 Ns²/m².

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The correct statement explaining how a megaphone amplifies sound is: "A megaphone amplifies sound by focusing sound energy into one specific direction."

By increasing the acoustic impedance perceived by the vocal chords and bringing them into closer proximity to the air, the loudhailer amplifies the sound and increases the amount of sound power that is emitted.

Many people are familiar with the distinctively distorted sound of a human voice amplified by a loudhailer thanks to its use in train and bus stations and sporting venues. It produces the sound of a vintage acoustic phonograph record player when used with music.

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Answer:

D. red shift

Explaination: if the spectral lines of galaxy are shifted towards the red end of spectrum (red shift) it means the galaxy is going away from earth!

The information about ultraviolet radiation supports or contradicts the safety of solar radiation exposure to astronauts on the international space station. They have wore suits that protects the astronaut from the UV light.

A space station is a sort of space habitat because it can sustain a human crew in orbit for a lengthy period of time. Major landing or propulsion systems are absent. An artificial satellite, also known as an orbital station or orbital space station, is a kind of orbital spaceflight. To allow other spacecraft to dock and transfer personnel and cargo, stations need to have docking ports. Depending on the programmed, a given orbiting outpost has a different role. Military launches have also taken place, although scientific launches of space stations have predominated. astronaut have wore suits that protects the astronaut from the UV light.  

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The orbital speed of the satellite orbiting around a planet of radius 34 Km is found to be 2.59 km/s.

To find the orbital speed (v) of the satellite, we can use the formula,

v = √(GM/r), gravitational constant (6.674 x 10⁻¹¹ N(m/kg)²) is G, mass of the planet is M, and orbital radius of the satellite is r. To calculate M, we can use the formula,

g = GM/r², rearranging this formula, we get,

M = gr²/G

Substituting the values, we get,

M = 3.3(34,000)²/(6.674 x 10⁻¹¹)

M = 6.06 x 10²⁰ kg

Now, substituting the values of G, M, and r into the formula for orbital speed, we get,

v = √((6.674 x 10⁻¹¹)(6.06 x 10²⁰)/(34,000))

v = 2.59 x 10³ m/s

Therefore, the satellite's orbital speed is approximately 2.59 km/s.

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Answer:

Sound waves cause particles to vibrate perpendicular to the direction of the wave.

The electric field at the center of the cube is approximately 5.12 × 10⁴ N/C.

The electric field at the center of a face of the cube is approximately 4.54 × 10⁴ N/C.

The electric field at the center of the cube if one of the corner charges is removed is approximately 4.54 × 10⁴ N/C.

(a) To find the electric field at the center of the cube, we can use the principle of superposition, which states that the total electric field at a point in space is the vector sum of the electric fields due to each individual charge. Since all eight charges are identical and have the same distance to the center of the cube, the electric field due to each charge has the same magnitude and direction.

Using Coulomb's law, we can calculate the magnitude of the electric field due to one charge at the center of the cube as:

E = (kQ) / r²

where k is the Coulomb constant, Q is the charge on each point charge, and r is the distance from the charge to the center of the cube. Since the charges are at the corners of a cube with sides of length 10 cm, the distance from each charge to the center is sqrt√/2 times the length of the side, or 5√(3) cm.

Thus, the magnitude of the electric field due to one charge at the center of the cube is:

E = (kQ) / (5√(3) cm)² = 1.24 × 10⁴ N/C

Since there are eight charges, the total electric field at the center of the cube is:

E_total = 8E = 9.95 × 10⁴ N/C

(b) To find the electric field at the center of a face of the cube, we can again use the principle of superposition. Since the face of the cube is equidistant from four of the charges, the electric field due to those charges has the same magnitude and direction, while the electric field due to the other four charges cancels out.

So, the magnitude of the electric field at the center of a face of the cube is:

E_face = 4E = 4.96 × 10⁴ N/C

(c) If one of the corner charges is removed, the electric field at the center of the cube is no longer spherically symmetric. However, we can still use the principle of superposition to calculate the electric field due to the remaining seven charges. The electric field due to these charges at the center of the cube has the same magnitude as the electric field due to one charge at the center of a face of the cube.

Since the distance from the center to each of the remaining charges is √(2) times the length of the side of the cube.

Thus, the magnitude of the electric field due to the remaining charges is:

E_remaining = 7E = 3.18 × 10⁴ N/C

Therefore, the electric field at the center of the cube if one of the corner charges is removed is approximately 4.54 × 10⁴ N/C, which is the average of the electric fields at the centers of adjacent faces of the cube.

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The ring will have the greater moment of inertia.

Acceleration of a body rolling down an inclined plane without slipping is given by,

α = gsinθ/(1 + K²/R²)

Acceleration of the ring,

α = gsinθ/(1 + R²/R²)

α = 1/2 gsinθ

Acceleration of the sphere,

α = gsinθ(1 + 5/2)

α = 2/7 gsinθ

Acceleration of the solid cylinder,

α = g sinθ(1 + 1/2)

α = 2/3 gsinθ

The ring has the highest acceleration. Therefore, the ring will reach the bottom of the slope first.

The ring will have the greater moment of inertia among the three.

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The given statement that Large speaker cones produce deeper frequencies than small speaker cones is true.

The frequency response of a speaker refers to its ability to reproduce sound across different frequencies. In general, larger speaker cones are capable of moving more air and producing lower frequencies than smaller cones. This is because the size of the speaker cone affects the amount of air it can displace and the amount of force it can generate.

Low-frequency sounds require more movement of air to be heard, and larger cones are better suited to move the necessary amount of air. However, it's worth noting that there are other factors that can affect a speaker's frequency response, such as the design of the speaker cabinet, the materials used in the speaker cone, and the quality of the electronics used to power the speaker.

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Gravity is the force responsible for the orbit of satellites. Gravity is an attractive force that acts between two objects with mass.

Satellites are man-made objects that are sent into space to orbit around a planet or other celestial body. They are used for a variety of purposes, including communication, navigation, scientific research, weather forecasting, and more. Satellites are equipped with advanced technology that allow them to transmit signals and data back to Earth, helping to make our lives easier in many ways. They are powered by solar panels and come in a variety of shapes and sizes. They can be stationary, meaning they stay in the same position as they orbit, or they can be geostationary, meaning they stay in the same point relative to the Earth's surface. They are also capable of providing real-time data and images to Earth-based observers. By using satellite technology, we can gain a better understanding of our planet, its climate, and its inhabitants.

This force is what causes satellites to orbit around a planet or star, as the gravitational pull of the planet or star causes them to move in a curved path.

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The mass to be hung at a point 40cm to the right of the pivot point such that the stick hangs level is 15 g.

To solve this problem, use the principle of moments which states that the sum of the clockwise moments about a pivot point is equal to the sum of the counterclockwise moments about the same pivot point. In this case, take the pivot point to be the suspension point of the meter stick.

Let x be the mass that needs to hang at a point 40cm to the right of the pivot point. Then, set up the following equation:

(clockwise moment) = (counterclockwise moment)

(0.2 kg) × (0.3 m) × (9.81 m/s²) = (x kg) × (0.4 m) × (9.81 m/s²) + (0.1 kg) × (0.1 m) × (9.81 m/s²)

Simplifying this equation:

0.05886 = 3.924x

x = 0.015 kg or 15 g

Therefore, we need to hang a 15 g mass at a point 40 cm to the right of the pivot point such that the stick hangs level.

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Answer:

To calculate the minimum total speed required for the projectile to escape the Earth's gravitational pull, we can use the equation for escape velocity:

v_escape = sqrt(2GM/R)

where G is the gravitational constant, M is the mass of the Earth, and R is the radius of the Earth.

Plugging in the given values, we get:

v_escape = sqrt(26.67e-115.98e24/6370000)

v_escape = 11186.4 m/s

This is the minimum total speed required for the projectile to escape the Earth's gravitational pull. In order to achieve this speed, the projectile would need to be launched with a velocity of 11186.4 m/s relative to the Earth.

Explanation:

(a) The S-P difference (sec) is 40 sec.

(b) The amplitude (mm) is 10 mm

(c) The distance (km) is 380 km

(d) The magnitude (M) is 4.5

What is the S-P wave difference (sec)?

The S-P wave difference (sec) is a measure used in seismology to determine the distance between a seismic station and an earthquake source.

From the graph, the S-P difference, that is between S and P = 40 s - 0 s

= 40 s

The distance (km) corresponding to 40 sec is 380 km.

The amplitude of the wave is the maximum displacement of the wave and it is equal to 10 mm.

The corresponding magnitude of the wave is 4.5.

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Answer:

False.

Explanation:

Sonography uses high-frequency sound waves, not infrasonic waves, to create images of objects found inside other objects. These sound waves bounce off the internal structures of the body and are detected by a transducer, which converts them into images that can be visualized on a screen.

Infrasonic waves are sound waves with frequencies lower than the range of human hearing, typically below 20 Hz.

Answer:

U Can check it out

Explanation:

the wire wound in a form of loop forms a coil or solenoid .when an electric current is passed through a coil or solenoid the resultant magnetic field is similar to that of a bar magnet .One end of the solenoid is North N-pole and other is S-pole like bar magnet .Since the field lines cannot cross each other, the Field lines are packed closer together inside. Therefore the field is stronger and uniform inside and weaker outside the coil.

The recoil speed of the rifle is 0.5 m/s.

Weight of the rifle, W = 30 N

Mass of the rifle, M = W/g = 30/10 = 3 kg

Mass of the bullet, m = 5 g = 5 x 10⁻³kg

Speed of the bullet, v = 300 m/s

a) The expression for the recoil speed of the rifle is given by,

v(r) = mv/M

v(r) = 5 x 10⁻³ x 300/3

v(r) = 0.5 m/s

b) Weight of the man, W' = 700 N

Mass of the man, M' = W'/g = 700/10 = 70 kg

So, the combined mass of the man and the rifle,

M₁ = M + M'

M₁ = 3 + 70

M₁ = 73 kg

Therefore, the recoil speed of man and rifle,

v(r)' = mv/M₁

v(r)' = 5 x 10⁻³ x 300/73

v(r)' = 0.0205 m/s

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To solve this problem, we can use the conservation of momentum and the conservation of kinetic energy.First, let's find the velocity of the 0.530-kg cart after the collision. We can use the conservation of momentum:m1v1 + m2v2 = m1v1' + m2v2'where m1 and v1 are the mass and velocity of the 0.530-kg cart before the collision, m2 and v2 are the mass and velocity of the 0.25-kg cart before the collision, and v1' and v2' are the velocities of the carts after the collision.Plugging in the numbers, we get:(0.530 kg)(0.572 m/s) + (0.25 kg)(0 m/s) = (0.530 kg)v1' + (0.25 kg)v2'Solving for v1', we get:v1' = [(0.530 kg)(0.572 m/s) + (0.25 kg)(0 m/s)] / (0.530 kg + 0.25 kg) = 0.378 m/s to the rightSo the 0.530-kg cart moves off to the right at 0.378 m/s after the collision.Next, let's find the maximum compression of the spring. We can use the conservation of kinetic energy:(1/2)m2v2^2 = (1/2)kx^2where k is the spring constant and x is the maximum compression of the spring.We know the mass and velocity of the 0.25-kg cart before the collision (v2 = 0 m/s), so we can solve for k:k = 2(1/2)m2v2^2 / x^2 = m2v2^2 / x^2Plugging in the numbers, we get:k = (0.25 kg)(0 m/s)^2 / x^2 = 0This means that the spring constant is 0, which is not physically possible. Therefore, there must be an error in the problem statement or some missing information that would allow us to calculate the maximum compression of the spring.

The elongation of the rod beyond its original length would be 2.5 mm.

To elongation of the rod can be deduced using the formula:

ΔL = FL / AE

where:

The cross-sectional area of the steel rod is given by:

The force applied to the rod:

Thus:

ΔL = (98.1 x 2) / ((7.85 x [tex]10^{-7[/tex]) x (200 x [tex]10^9[/tex] ))

ΔL = 0.0025 m = 2.5 mm

In other words, the elongation of the steel rod beyond its original length is 2.5 mm.

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The final velocity of the motorcycle is

the total distance traveled during the 15-second timeframe is

Convert the initial velocity from mph to m/s:

75 mph = 75 x 0.44704 m/s = 33.528 m/s

Using vf = vi + at

where

vf is the final velocity,

vi is the initial velocity

a is the acceleration, and

t is the time interval.

Plugging in the given values, we get:

vf = 33.528 m/s - (0.25 m/s^2)(15 s) = 32.59 m/s

convert the final velocity back to mph

32.59 m/s = 32.59 x 2.237 mph/m = 72.9 mph

distance traveled, d

d = vi*t + (1/2)at^2

d = 32.59 m/s * 15 s + (1/2)(-0.25 m/s^2)(15 s)^2

d = 516.98 m

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Engineers use electrical insulators to prevent electricity from flowing to the wrong place.

Insulators are materials that do not conduct electricity easily and are used to separate electrical conductors to prevent current leakage or short circuits. Common insulating materials include rubber, plastic, glass, and ceramic. By using insulators, engineers can ensure that electrical energy is directed along the intended path and that electrical equipment operates safely and efficiently.

. Insulators are commonly used in a variety of applications, including electrical wiring, power transmission and distribution systems, electronic devices, and high-voltage equipment. Common insulating materials include rubber, plastic, glass, ceramic, and air. The choice of insulating material depends on various factors such as the required level of insulation, the operating temperature, and the environment in which the insulator will be used.

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Answer:

Explanation:

Yes, an object can travel with a non-zero velocity even when the net external force on it is zero. The object in this case is moving to the right with constant velocity and will continue in its state of motion as long as there are no external unbalanced forces acting on it.  This is Newton's First Law of Motion (aka the Law of Inertia).

The acceleration of the racing camel is 1.38 m/s².

From Newton's second law, force is expressed as;

F = m × a

Where is mass of object and a is the acceleration

Given that:

To determine the acceleration of the camel, pug the given values into the abovr formula and solve for a.

F = m × a

897N = 650 kg × a

Note that: Newton N is the same as kg·m/s²

Hence;

897kg·m/s² = 650 kg × a

Divide both sides by 650 kg

a = (897kg·m/s²) / (650 kg)

a = 1.38 m/s²

Therefore, the acceleration is 1.38 meters per second sqaure.

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If we rank these magnets from the strongest to the weakest magnetic field the correct order is 4, 3, 2, 1.

The magnetic field and radius are related in the context of a charged particle moving in a circular path under the influence of a magnetic field. When a charged particle moves in a circular path under the influence of a magnetic field, the force on the particle is directed toward the center of the circle. In this force, the radius can be expressed as r = mv / Bq.

This equation shows that the radius of the circular path is directly proportional to the velocity of the particle, and inversely proportional to the magnetic field strength and the charge of the particle.

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Answer:

The answer is 13.5g/cm³

Explanation:

m1=20g

m3=70g

m2=695g

v=20cm³

m2-m1/m3-m1

R.d=695-20/70-20

R.d=675/50

R.d=13.5

R.d=density of liquid/density of water

density of liquid =R.d×density of water

D=13.5×1

D=13.5g/cm³

Answer:

a) The order in which the shapes reach the bottom of the slope will be the sphere, solid cylinder, and ring.

b) The time it takes for each shape to reach the bottom of the slope can be calculated using the following equation:

t = (2d / g)^(1/2)

Where t is the time, d is the height of the inclined plane (1m in this case), and g is the acceleration due to gravity (9.8 m/s^2).

For the sphere:

t = (2 x 1 / 9.8)^(1/2) = 0.45 seconds

For the solid cylinder:

t = (2 x 1 / 9.8)^(1/2) x (5/7) = 0.36 seconds

For the ring:

t = (2 x 1 / 9.8)^(1/2) x (2/5) = 0.28 seconds

c) The moment of inertia depends on the shape of the object and how the mass is distributed around its axis of rotation. For a solid sphere, the moment of inertia is given by I = (2/5)MR^2, for a solid cylinder it is I = (1/2)MR^2, and for a ring it is I = MR^2. Therefore, the order of increasing moment of inertia is the ring, the solid cylinder, and the sphere.

d) The linear acceleration of each shape can be calculated using the following equation:

a = gsinθ / (1 + I / MR^2)

Where a is the linear acceleration, g is the acceleration due to gravity (9.8 m/s^2), θ is the angle of the inclined plane (20° in this case), I is the moment of inertia, M is the mass, and R is the radius.

For the sphere:

a = (9.8 x sin20) / (1 + (2/5)) = 2.34 m/s^2

For the solid cylinder:

a = (9.8 x sin20) / (1 + (1/2)) = 3.29 m/s^2

For the ring:

a = (9.8 x sin20) / (1 + 1) = 4.16 m/s^2

e) The tangential (linear) velocity of each shape at the bottom of the slope can be calculated using the following equation:

v = ωR

Where v is the tangential velocity, ω is the angular velocity, and R is the radius.

The angular velocity can be calculated using the following equation:

ω = (2a / R)^(1/2)

For the sphere:

ω = (2 x 2.34 / 0.05)^(1/2) = 21.8 rad/s

v = 21.8 x 0.05 = 1.09 m/s

For the solid cylinder:

ω = (2 x 3.29 / 0.05)^(1/2) = 30.7 rad/s

v = 30.7 x 0.05 = 1.53 m/s

For the ring:

ω = (2 x 4.16 / 0.05)^(1/2) = 36.4 rad/s

v = 36.4 x 0.05 = 1.82 m/s

mark me brilliant

Answer:

c

Explanation:

The heel of shoe D applies the greatest force to the carpet because it has the largest surface area in contact with it, and thus the largest force is distributed over that larger area.

In the 1600s, a scientist by the name of Robert Boyle made the first known demonstration of the fact that a sound cannot pass through void space. Boyle placed the clock in a glass jar with a tight lid.

Pump out the air from the sealed bell jar while putting an electrical bell inside. Set the electric bell to ringing. We cannot hear the sound that the bell makes with our ears. This indicates that sound waves require a material environment for propagation because they cannot move through a vacuum.

Since sound waves are carried from one location to another by the molecules of solids, liquids, and gases, sound requires a physical medium for propagation, such as a solid, liquid, or gas. Since there are no molecules in the vacuum that can vibrate and convey sound waves, sound cannot travel through it.

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The breaking rate refers to the rate at which an object slows down due to braking or deceleration. In other words, it is the rate of change of velocity in the opposite direction of the object's motion.

Looking at the data provided, we can see that the velocity decreases from 50 m/s to 0 m/s over a period of 10 seconds, which means the object is decelerating at a constant rate. To calculate the breaking rate, we can use the formula:

breaking rate = (final velocity - initial velocity) / time taken

In this case, the breaking rate is:

breaking rate = (0 - 50) / 10 = -5 m/s^2

So, the object is decelerating at a rate of 5 m/s^2.

To compare this to the acceleration, we need to know the acceleration of the object before it starts breaking. If we assume that the object was accelerating at a constant rate of 5 m/s^2 before it started breaking, then the acceleration and breaking rates are equal in magnitude but opposite in direction. In other words, the acceleration and breaking rates are both 5 m/s^2, but the acceleration is positive while the breaking rate is negative.

It's worth noting that the breaking rate can vary depending on various factors such as the mass of the object, the friction between the object and the surface it is moving on, and the force applied to the brakes.

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The magnitude of the acceleration of the ball  applied at the bottom of the circle can be expressed in the form  of FTension-FGravity/M.

Option D is correct.

Along the string's circular and vertical paths, the tension changes. As long as the total quantity of kinetic and potential energy is constant throughout, the ball's speed can change.

Centripetal force varies as a result of motion variations.

We can determine how tight a string that is traveling in a vertical circle is using the expression below:

FC = mv2 /r.

A moving item attached to a string experiences centripetal force, which is determined by the product of the object's mass (mg) and the string tension. (T).

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Complete question:  

A student swings ball of mass M on the end of a string in vertical circle of radius R,as shown in the figure below. Also shown is diagram representing all the forces exerted on the ball at the bottom of the circle where its speed is What is the magnitude of the acceleration of the ball at the bottom of the circle? FTension FGravity

A)Fi /M

B)Fc /M

C)Fr+Fg/M

D) Ft- Fg/M

Answer: She passed at 19 years old.

Explanation: