in a series lrc circuit, the frequency at which the circuit is at resonance is f subscript 0 . if you double the resistance, the inductance, the capacitance, and the voltage amplitude of the ac source, what is the new resonance frequency?

The average velocity of the car is 0 km/h.

option D.

Average velocity is a measure of the displacement of an object over a specified time interval. It is calculated by dividing the change in position of an object by the time taken to achieve that change.

Average velocity is a vector quantity, which means that it has both magnitude and direction.

average velocity = total displacement / total time

Since the car moved from Lahore to Islamabad and returned back to Lahore, then the total displacement of the car = 0 km

Average velocity = 0 km / total time = 0 km/h

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Note that the correct times are t = 0, t = 1/4, t = 1/2. You can tell from the spaces between the two digits. i.e 1&4 and 1&2

Answer:

y(0) = 2.00 cm

y(1/4) = 1.56 cm

y(1/2) = 1.21 cm

Explanation:

This is a very simple exercise, the displacement of the oscillating weight from equilibrium has already been modeled by the equation:

\(y(t) = 2e^{-t} cos 4t\)

Where y = displacement ( in cm)

and t = time (in seconds)

The task is to find the displacement when t = 0, 1/4 and 1/2

When t = 0 s

\(y(0) = 2e^{0} cos 4(0)\\y(0) = 2* 1*1\\y(0) = 2.00 cm\)

When t = 1/4 s

\(y(1/4) = 2e^{-1/4} cos 4(1/4)\\y(14) = 2e^{-1/4} cos (1)\\y(1/4) = 1.56 cm\)

When t = 1/2

\(y(1/2) = 2e^{-1/2} cos 4(1/2)\\y(14) = 2e^{-1/2} cos (2)\\y(1/2) = 1.21 cm\)

Its value is 9.8 m/s2 on Earth. That is to say, the acceleration of gravity on the surface of the earth at sea level is 9.8 m/s2

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When one force is greater than another force, we can say that there is a change in motion. The correct answer is option C: "There is a change in motion."

According to Newton's second law of motion, the acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass. When one force is greater than another force, the net force acting on the object is not zero. If the net force acting on an object is not zero, it will cause the object to accelerate in the direction of the larger force. This acceleration leads to a change in motion. The object may speed up, slow down, change direction, or a combination of these.

Option A, "There is no net force," is incorrect because if one force is greater than another, there is a net force acting on the object.

Option B, "There is no change in motion," is incorrect because, as explained above, a greater force leads to a change in motion.

Option D, "The forces are in equilibrium," is incorrect because if one force is greater than another, the forces are not balanced, and the object is not in equilibrium.

Therefore, the correct statement is that there is a change in motion when one force is greater than another force.

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Answer:

Kinetic energy

Mechanical Energy is possed by an object due to its change in motion or position. In more generalized, a moving car possess a kinetic energy.

Answer:

Explanation:

Initial velocity (u) of the Bullet = 400 m/sec

Final velocity (v) of the Bullet = 100 m/sec

Bullet passed through the block in (t) = 0.0004 sec  

Using 1st Equation of motion :

400 m/s = 100 m/s - a (0.0004)

Deceleration of Bullet = 750,000 m/sec^2

(a) F (force exerted by the wooden block on the bullet) = F (force exerted by the bullet on the wooden block)

F = m * a = 0.008 * 750,000 = 6000 N

(b) Using 3rd Equation of motion :

\(v^{2} = u^{2} - 2aS\)

10000 = 160000 - 2 * 750,000 * S

Thickness of wood (S) = 0.1 m

Answer:

constant at the speed of light

1) Ions: H⁺ and OH⁻ ; 2) Ions: Na⁺ and Cl⁻ ; 3) Ions: K⁺ and Br- ;  4) Ions: Na+ and OH⁻ ; 5) Ions: Ca²⁺ and CO₃²⁻

1) H₂O
Ions: H⁺ and OH⁻
The hydrogen ion (H⁺) has a positive charge and the hydroxide ion (OH⁻) has a negative charge.

2) NaCl
Ions: Na⁺ and Cl⁻
The sodium ion (Na⁺) has a positive charge and the chloride ion (Cl⁻) has a negative charge.

3) KBr
Ions: K⁺ and Br-
The potassium ion (K⁺) has a positive charge and the bromide ion (Br⁻) has a negative charge.

4) NaOH
Ions: Na+ and OH⁻
The sodium ion (Na⁺) has a positive charge and the hydroxide ion (OH⁻) has a negative charge.

5) CaCO₃
Ions: Ca²⁺ and CO₃²⁻
The calcium ion (Ca²⁺) has a positive charge and the carbonate ion (CO₃⁻) has a negative charge.

In summary, the different compounds have different ions that make them up, each with their own specific charge. Understanding the ions present in a compound is important in many areas of chemistry and can help us understand the properties and behavior of substances.

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Answer:

It takes 3 seconds to reach its high point

Explanation:

Projectile Motion

In a projectile motion (or 2D motion), the object is launched with an initial angle θ and an initial velocity vo.

The components of the velocity are

\(v_{ox}=v_o\cos\theta\)

\(v_{oy}=v_o\sin\theta\)

The speed in the horizontal direction at any time t is:

\(v_y=v_o\sin\theta-g.t\)

The time taken to reach the maximum height is when vy=0, or:

\(\displaystyle t_m=\frac{v_o\sin\theta}{g}\)

We are given the y-component of the velocity, thus:

\(\displaystyle t_m=\frac{30~m/s}{10~m/s^2}\)

\(t_m=3~s\)

It takes 3 seconds to reach its high point

The horizontal distance travelled by the football is 3.1 m.

The angle of projection of the football is calculated as follows;

tan ( θ ) = Vy / Vx

where;

tan ( θ ) = 5 / 3

tan ( θ ) = 1.667

θ = arc tan (1.667)

θ = 59⁰

The resultant velocity of the ball is calculated as follows;

v = √ (Vx² + Vy²)

v = √ (3² + 5²)

v = 5.83 m/s

The horizontal distance travelled by the football is calculated as follows;

x = v² sin(2θ) /g

where;

x = [ (5.83)² sin(2 x 59) /9.8 ]

x = 3.1 m

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Wetlands are defined by presence of water either or near the surface of soil which floods it for extended period of time. It can come from rainfall, rivers, and other sources.

Wetlands are areas where water is the primary factor controlling the environment and the associated plant and animal life.

Wetlands can take many forms and can be found in almost every region of the world, including marshes, swamps, bogs, and fens.

Wetland water can come from a variety of sources, including rainfall, rivers, lakes, and groundwater. The water in wetlands can be either fresh, brackish (a mix of salt and fresh water), or saltwater.

Wetlands play a crucial role in the ecosystem, providing habitat for a variety of wildlife, improving water quality by filtering pollutants, and reducing the impact of floods by absorbing excess water. Additionally, wetlands store vast amounts of carbon, making them important in mitigating the effects of climate change.

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So, the vehicle's acceleration approximately 6.03 m/s².

Hi ! I will help you to solve a problem about "acceleration in a straight line movement". When an object experiences an acceleration, the object will experience a change in the value of the velocity in a certain time interval. When experiencing a change in speed, of course, objects will move. This movement will be written as "s" (shift or displacement).

The formula that you can use to solve this question is:

\( \boxed{\sf{\bold{(v_t)^2= (v_0)^2 + 2 \times a \times s}}} \)

With the following condition :

We know that :

What was asked ?

Step by step :

\( \sf{(v_t)^2= (v_0)^2 + 2 \times a \times s} \)

\( \sf{(17.36)^2= (0)^2 + 2 \times a \times 24.99} \)

\( \sf{301.37 \approx 49.98 \times a} \)

\( \sf{a \approx \frac{301.37}{49.98}} \)

\( \boxed{\sf{a \approx 6.03 \: m/s^2}} \)

So, the vehicle's acceleration approximately 6.03 m/s².

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The capacitance of the given capacitor is 10 μF. The correct answer is option B).

A capacitor is an electronic component that stores electrical energy in an electric field between two conductive plates separated by a dielectric material. It is a passive component, which means that it does not require a source of energy to operate.

The capacitance of a capacitor is a measure of its ability to store electrical energy, and it is determined by several factors, including the size of the plates, the distance between them, and the type of dielectric material used.

The capacitance of a capacitor can be calculated using the formula:
Capacitance (C) = Charge (Q) / Potential Difference (V)
Given the values in the question, we have:
Charge (Q) = 1 mC = 0.001 C (converting to coulombs)
Potential Difference (V) = 100 V

Now, plug the values into the formula:
C = 0.001 C / 100 V = 0.00001 F = 10 μF
So, the capacitance is 10 μF,

Therefore option B) is the correct answer.

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The correct statement that explains the observation using Newton's laws is objects at rest tend to remain in their current state of motion unless acted upon by an unbalanced force, but objects in motion require a continual application of force to stay in motion. Here option A is correct.

According to Newton's first law of motion, an object will continue moving at a constant velocity in a straight line unless acted upon by an external force. In this case, when the cannonball is shot horizontally from the cannon, it initially possesses a forward velocity due to the force applied by the cannon. However, once the cannonball is in motion, the only forces acting on it are gravity and friction.

Gravity acts vertically downward, causing the cannonball to accelerate downward. Friction acts horizontally in the opposite direction to the motion of the cannonball. As the cannonball moves forward, friction opposes its motion and gradually slows it down.

Since there is no force continuously propelling the cannonball forward, and the forces of friction and gravity act on it, the cannonball eventually comes to a stop and falls to the ground. Hence option A is correct.

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Answer:

The correct answer is - C) Jackie may maintain healthy body fat levels.

Explanation:

Jackie has a very active daily and on weekends routine that includes riding the bike, playing volleyball, pushing weeds, and sweeping the porch. The activities that Jackie is performing daily as well as the time that she spends on exercise may help her to maintain body fat levels.

Being physically active helps in maintaining fat levels in the body of an individual, and it is healthy for the individual.

Thus, the correct answer is - C) Jackie may maintain healthy body fat levels.

A transverse wave is one in which the movie's particle vibrations are parallel to the wave's direction of propagation. A transverse beam's crests and troughs are its high and low points, respectively.

Because the materials pass in a plane that is opposite to the wave's direction, this sort of wave is known as a transverse wave. Electromagnetic or mechanical waves are both examples of transverse waves. Any disturbance that moves through a medium, like a string, is referred to as a mechanical wave.

A wave that oscillates perpendicular of the wave or its line of propagation is referred to as a wave propagation. When a motion is caused in the molecules that form the medium, longitudinal waves are produced that are perpendicular to the wave's propagation direction.

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The magnitude of the second charge needed to propel the first charge is 6,250 C.

The magnitude of the second charge is calculated by applying Coulomb's law as follows;

F = kq₁q₂/r²

where;

Fr² =  kq₁q₂

q₂ = Fr²/kq₁

q₂ = (100 x 750,000²)/(9 x 10⁹ x 1)

q₂ = 6,250 C

Thus, the magnitude of the second charge needed to propel the first charge is 6,250 C.

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Answer:

Efficiency can be increase by using rollers in conjunction with the inclined plane. Wedge. The wedge is an adaptation of the inclined plane. It can be used to raise a heavy load over a short distance or to split a log.

Explanation:

Hope it helps

Answer:

d)60cm​

Explanation:

When an object is placed in front of a plane mirror, its image is formed behind the mirror at the same distance as the object is in front of the mirror. This means that the image distance (d_i) is equal to the object distance (d_o):

d_i = d_o

Initially, the object is placed 30 cm in front of the mirror, so the image distance is also 30 cm.

When the mirror is moved a distance of 6 cm towards the object, the new object distance becomes:

d_o' = d_o - 6 cm = 30 cm - 6 cm = 24 cm

Using the mirror formula, we can find the image distance for the new object distance:

1/d_o' + 1/d_i' = 1/f

where f is the focal length of the mirror, which is infinity for a plane mirror. Therefore, we can simplify the equation to:

1/d_o' + 1/d_i' = 0

Solving for d_i', we get:

1/d_i' = -1/d_o'

d_i' = - d_o'

Substituting the given values, we get:

d_i' = -24 cm

Since the image distance is negative, this means that the image is formed behind the mirror and is virtual (i.e., it cannot be projected onto a screen).

The distance between the object and its image is the difference between their positions:

distance = d_i' - d_o = (-24 cm) - (30 cm) = -54 cm

Since the image is virtual, we can take the absolute value of the distance to get the magnitude:

|distance| = |-54 cm| = 54 cm

Therefore, the distance between the object and its image is 54 cm. The answer is (d) 60 cm, which is the closest option to 54 cm.

The net force acting on the bicyclist is 11.022 Newton.

Given the following data:

To find the net force acting on the bicyclist, we would apply Newton's Second Law of Motion:

Mathematically, Newton's Second Law of Motion is given by this formula;

\(Force = mass\) × \(acceleration\)

First of all, we would determine the acceleration by using the third equation of motion;

\(V^2 = U^2 + 2aS\\\\1.5^2 = 0.5^2 + 2a(6)\\\\2.25 = 0.25 + 12a\\\\12a = 2.25 - 0.25\\\\12a = 2\\\\a = \frac{2}{12}\)

Acceleration, a = 0.167 \(m/s^2\)

Now, we can find the net force acting on the bicyclist:

\(Force = 66\) × \(0.167\)

Force = 11.022 Newton

Therefore, the net force acting on the bicyclist is 11.022 Newton.

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Answer:

48 m

Explanation:

Two trains traveling towards one another on a straight track are 300m apart when the engineers on both trains become aware of the impending Collision and hit their brakes. The eastbound train, initially moving at 97.0 km/h Slows down at 3.50ms^2. The westbound train, initially moving at 127 km/h slows down at 4.20 m/s^2.

The eastbound train

First convert km/h to m/s

(97 × 1000)/3600

97000/3600

26.944444 m/s

As the train is decelerating, final velocity V = 0 and acceleration a will be negative. Using third equation of motion

V^2 = U^2 - 2as

O = 26.944^2 - 2 × 3.5 S

726 = 7S

S = 726/7

S1 = 103.7 m

The westbound train

Convert km/h to m/s

(127×1000)/3600

127000/3600

35.2778 m/s

Using third equation of motion

V^2 = U^2 - 2as

0 = 35.2778^2 - 2 × 4.2 × S

1244.52 = 8.4S

S = 1244.52/8.4

S2 = 148.2 m

S1 + S2 = 103.7 + 148.2 = 251.86

The distance between them once they stop will be

300 - 251.86 = 48.14 m

Therefore, the distance between them once they stop is 48 metres approximately.

Answer:

Frictional force increases with the increase in the roughness of the surface.

Explanation:

You will see that the rougher the surface, the greater the wear and tear.

Answer:

an elevator stopping on the third floor

Explanation:

The example that best represent balanced force as regards this question is an elevator stopped on the third floor.

Examples of balanced forces are;

Therefore option A is correct, because balanced force exist as the elevator stopped.

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The simple machines that are used in the tool or device include all of the following:

In Science, a simple machine can be defined as a type of machine that is designed and developed with no moving parts, but can be used to perform a specific work.

Additionally, there are six (6) simple machines and these include the following;

Generally speaking, a simple machine allows for the transformation of energy into work.

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The force with which the planet is attracted to the 10 kg object is calculated to be 4 N.

Given that,

Mass of object = 10 kg

Gravitational field strength = 4 N/kg

Now, let us determine with what force the planet is attracted to the 10 kg object,

Mathematically, the force with respect to the gravitational field strength is given by the formula,

Force = mass × gravitational field strength

Force = 10 × 4

Force = 40 newton

We can conclude that the force with which the planet is attracted to the 10 kg object is 4 Newton.

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The value of gravitational force between the two spheres is 5.04 × 10⁻⁶N.

Given information:

Mass of sphere 1 (m₁) = 550 kg

Mass of sphere 2 (m₂) = 550 kg

Distance between the centers (r) = 2.00 m

Gravitational force is the force of attraction between two objects due to their masses. It is one of the fundamental forces in nature and is described by Newton's law of universal gravitation.

The gravitational force between two objects can be calculated using the formula: Gravitational force (F) = \(\frac{(G \times m_1 \times m_2)}{r^2}\)

Substituting the values:

Gravitational force (F) =

\(\frac{6.67 \times 10^{-11} \times 550 \times 550}{2^2} \\\frac{2017675\times 10^{-11}}4\\\)

F = 504418 × 10⁻¹¹

F = 5.04 × 10⁻⁶N

Therefore, the value of gravitational force between the two spheres is 5.04 × 10⁻⁶N.

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Answer:

the correct statement is: "There is only one force acting on the satellite."

The true statement is There are two forces acting on the satellite, and their resultant is not zero.(C)

In a circular orbit with negligible air resistance, there are two forces acting on the satellite: gravitational force and centripetal force.

Gravitational force pulls the satellite towards the Earth, while centripetal force keeps it moving in a circular path. These forces are not equal and opposite, so their resultant is not zero.

The gravitational force provides the necessary centripetal force for the satellite to remain in orbit, maintaining a balance between these forces.(C)

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Answer:

The moment of inertia of disk B is 0.446 kilogram-square meters.

Explanation:

In this case, the moment of inertia of the disk B can be determined by means of the Principle of Conservation of Angular Momentum, whose model is:

\(I_{A}\cdot \omega_{A} + I_{B}\cdot \omega_{B} = (I_{A} + I_{B})\cdot \omega\) (1)

Where:

\(I_{A}\), \(I_{B}\) - Moments of inertia of disks A and B, in kilogram-square meters.

\(\omega_{A}\), \(\omega_{B}\) - Initial angular velocities of disks A and B, in radians per second.

\(\omega\) - Final angular velocity of the resulting system, in radians per second.

Let suppose that disk A rotates counterclockwise, whereas disk B rotates clockwise and that resulting system rotates counterclockwise. If we know that \(I_{A} = 3.44\,kg\cdot m^{2}\), \(\omega_{A} = 5.69\,\frac{rad}{s}\), \(\omega_{B} = -7.03\,\frac{rad}{s}\) and \(\omega = 4.23\,\frac{rad}{s}\), then the moment of inertia of the disk B is:

\(I_{A} \cdot (\omega_{A} - \omega) = I_{B}\cdot (\omega - \omega_{B})\)

\(I_{B} = I_{A}\cdot \left(\frac{\omega_{A}-\omega}{\omega - \omega_{B}} \right)\)

\(I_{B} = (3.44\,kg\cdot m^{2})\cdot \left(\frac{5.69\,\frac{rad}{s} - 4.23\,\frac{rad}{s} }{4.23\,\frac{rad}{s} + 7.03\,\frac{rad}{s} } \right)\)

\(I_{B} = 0.446\,kg\cdot m^{2}\)

The moment of inertia of disk B is 0.446 kilogram-square meters.

For a rotating molecule with J = 3 and mJ = 2, the magnitude of the angular momentum is approximately 3.464 units, and the projection of the angular momentum onto the z-axis is 2 units.

Angular momentum is a physical quantity that describes the rotational motion of an object or system. It is a vector quantity, meaning it has both magnitude and direction. Angular momentum is defined as the product of the moment of inertia and the angular velocity of an object.

The magnitude of the angular momentum (|L|) for a rotating molecule with J = 3 is given by the formula:

|L| = √(J * (J + 1)) = √(3 * (3 + 1)) = √(3 * 4) = √12 ≈ 3.464

The projection of the angular momentum onto the z-axis (Lz) is given by the formula:

Lz = mJ = 2

Therefore, for a rotating molecule with J = 3 and mJ = 2, the magnitude of the angular momentum is approximately 3.464 units, and the projection of the angular momentum onto the z-axis is 2 units.

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the volume of this rectangular crystal is 3.354 × 10⁻⁴ m³.

Option b) 3.354 × 10⁻⁴ m³ is the correct answer.

Given the data in the question;

Length of the rectangular box \(=8.6 * 10^{-2} m\)

Width of the rectangular box \(=5.0 * 10^{-2} m\)

Depth of the rectangular box \(=7.8 * 10^{-2} m\)

Now, we know that formula for calculating the volume of a rectangular box or prism is;

Volume = Length × Width × Height or depth

So, we simply input our given values into this formula

\(Volume = ( 8.6 * 10^{-2}) ( 5.0 * 10^{-2}) ( 7.8 * 10^{-2})\)

\(Volume = 0.0003354 m\)

\(Volume = 3.354 * 10^{-4} m^3\)

Therefore, the volume of this rectangular crystal is 3.354 × 10⁻⁴ m³

Option b) 3.354 × 10⁻⁴ m³ is the correct answer.

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