Using the loop rule and deriving the differential equation for an LC circuit find the current (sign included) through the inductor at the instant t = 1.2 s if L = 2.7 H, C = 3.3 F. The initial charge at the capacitor is Qo = 4.30 and the initial current through the inductor is lo=0. Number Units

The degree of motion of the air within a sound wave that determines a sound's loudness is called amplitude. The amplitude of a sound wave correlates with the pressure changes in the air, and higher amplitudes result in louder sounds.

Amplitude refers to the maximum displacement of air particles from their resting position as a sound wave passes through a medium, such as air. It represents the intensity or strength of a sound wave and is directly related to the perceived loudness of the sound. A higher amplitude corresponds to a louder sound, while a lower amplitude corresponds to a softer sound.

When a sound wave has a larger amplitude, it means that the air particles are vibrating more intensely, resulting in a higher pressure variation and a stronger sound. In contrast, a sound wave with a smaller amplitude has less pronounced vibrations, resulting in a lower pressure variation and a softer sound.

Therefore, the degree of motion of the air within a sound wave that determines a sound's loudness is known as its amplitude

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Answer:

(A)    conduction implies that the objects are in contact

Answer:

D. the universe began with an enormous explosion.

Explanation:

This theory states that the universe began as a single hot, dense, and small point. It then exploded, expanded, became less dense, and the temperature became cooler.

Hope this helps! :)

Answer:

A. Four times

Explanation:

Gravitational Potential Energy (PE) is given as PE=mass*gravity*height

setting the equations of potential energy equal to each other for each object you get

m1gh=m2gh

then you can cancel out the gravity and height and get

m1=m2

then we know the mass of the second object is 4 times the mass of the first object so

m2=4m1

Answer:

3433.4m

Explanation:

Volume_submerged = (Density_mantle / Density_mountain) * Volume_exposed

Volume_submerged_meters = Volume_submerged / 1000000

Weight_submerged = Density_mantle * Volume_submerged_meters * g

Weight_submerged = Weight_exposed

Density_mantle * Volume_submerged_meters * g = Density_mountain * Volume_exposed * g

Volume_submerged_meters = (Density_mountain / Density_mantle) * Volume_exposed

Volume_submerged_meters = (3.2 g/cm^3 / 4.1 g/cm^3) * 4400 meters

Volume_submerged_meters = (0.7805) * 4400 meters

Therefore, the total height of the mountain is 3433.4 meters.

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Given the mass of the car and the change in velocity, the impulse exerted on the car by the brakes is 45000kgm/s.

Impulse is simply the product of force and time.

Using the formula of impulse.

Ft  = m( v - u )

Given the data in the question;

We substitute our values into the expression above.

Ft  = m( v - u )

Ft  = 1800kg( 25m/s - 0m/s )

Ft  = 1800kg × 25m/s

Ft = 45000kgm/s

Therefore, Given the mass of the car and the change in velocity, the impulse exerted on the car by the brakes is 45000kgm/s.

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a)10 cos(2750000t) * cos(2π * ∫550 * 4 cos(271000τ) dτ), b)the bandwidth is approximately 2 * (550 + 271000) = 542100 Hz. c)1100 Hz, d) The spectrum will have sidebands centered around the carrier frequency.

a. To obtain the modulated signal SFM(t), we multiply the message signal m(t) by the carrier signal c(t):

SFM(t) = c(t) * cos(2π * ∫k * m(τ) dτ) = 10 cos(2750000t) * cos(2π * ∫550 * 4 cos(271000τ) dτ)

b. Carson's rule states that the bandwidth of a frequency-modulated signal is approximately equal to twice the sum of the maximum frequency deviation and the highest frequency component in the message signal. In this case, the maximum frequency deviation is 550 Hz/V and the highest frequency component in the message signal is 271000 Hz. Therefore, the bandwidth is approximately 2 * (550 + 271000) = 542100 Hz.

c. The bandwidth based on a 1% sideband can be calculated by multiplying the frequency deviation by 2. In this case, the frequency deviation is 550 Hz/V, so the bandwidth is approximately 2 * 550 = 1100 Hz.

d. SFM(f) represents the frequency spectrum of the modulated signal. To determine SFM(f), we can calculate the Fourier Transform of SFM(t), which involves converting the time-domain signal into the frequency-domain signal. The resulting spectrum will have sidebands centered around the carrier frequency.

e. The total average power in the bandwidth can be determined by integrating the power spectral density of the modulated signal over the bandwidth. The power spectral density can be obtained from SFM(f), and combining it over the bandwidth will give the total average power.

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When a ferromagnetic material is placed in an electromagnetic coil and a magnetic field is applied, the magnetic induction (B) is increased.

Therefore, the correct answer is:

(a) There is a large increase in the magnetic induction (B)

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The correct option is D, Then determine if filtration or reabsorption occurs. NFP =15 mm Hg and results in a fluid filtration.

Reabsorption refers to the process by which substances that were initially filtered out of the blood by the kidneys are returned to the bloodstream. In the kidneys, blood is filtered through tiny blood vessels called glomeruli, and the resulting filtrate is passed through tubules where various substances are reabsorbed and others are secreted .

Reabsorption is a critical process for maintaining proper fluid and electrolyte balance in the body. It allows important nutrients, such as glucose, amino acids, and electrolytes, to be reabsorbed and returned to the bloodstream, while excess water and waste products are eliminated through urine. Reabsorption occurs primarily in the proximal tubule of the nephron, a functional unit of the kidney.

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To find the center of mass of the system, we need to consider the masses and positions of the two stars.

Given:

Distance between stars x and y = 5 AU

Mass of star x = 1.5 times the mass of star y

Let's assume the distance of the center of mass from star x is d1, and the distance of the center of mass from star y is d2.

According to the principle of the center of mass, the center of mass of a system can be calculated using the formula:

d1 = (m1 * x1 + m2 * x2) / (m1 + m2)

d2 = (m1 * y1 + m2 * y2) / (m1 + m2)

where m1 and m2 are the masses of stars x and y, and x1, x2, y1, and y2 are their respective positions.

In this case, since star x is 1.5 times as massive as star y, we have:

m1 = 1.5m2

Therefore, the center of mass of this system is 3 AU away from star x and -3 AU away from star y.

The correct answer is:

3; -3

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The kinetic energy and angular momentum both grow. Planets orbit the Sun in an elliptical orbit. This implies that planets in their orbits occasionally move further away from the Sun.

How planet revolves around the sun?

The Solar System evolved from a swirling cloud of gas and dust that revolved around a freshly emerging star, our Sun, at its core.

Jupiter is the fastest spinning planet in our Solar System, revolving once every ten hours on average.

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The force exerted on the cord is equal to the force acting on the weight, which is 25 N.

To solve this problem, we'll apply Newton's second law of motion (F = ma) and work through each part step by step.

We know the force acting on the box (F_box) is 47 N. Using Newton's second law, we can find the mass of the box:

F_box = m_box * a

m_box = F_box / a

However, we don't know the acceleration yet. To find that, we'll first need to analyze the forces acting on the system.

We know the force acting on the weight (F_weight) is 25 N. The force is equal to the gravitational force acting on the weight:

F_weight = m_weight * g

m_weight = F_weight / g

where g is the acceleration due to gravity (approximately 9.81 m/s^2). Plugging in the values, we get:

m_weight = 25 N / 9.81 m/s^2 ≈ 2.55 kg

Now let's analyze the forces acting on the system. The net force acting on the box is the force exerted by the cord (F_cord), which is equal to the force acting on the weight (F_weight):

F_cord = F_weight

The net force acting on the box is also equal to the product of its mass and acceleration:

F_box = m_box * a

Since F_cord = F_weight = F_box, we can set up the following equation:

m_box * a = m_weight * g

We already know m_weight and g, so we can solve for the acceleration (a):

a = (m_weight * g) / m_box

We still need to find m_box. We can do this by rearranging the equation from part A:

m_box = F_box / a

Now, we have:

a = (m_weight * g) / (F_box / a)

Solving for a, we get:

a^2 = (m_weight * g) / F_box

a = sqrt((m_weight * g) / F_box)

Plugging in the values, we get:

a = sqrt((2.55 kg * 9.81 m/s^2) / 47 N) ≈ 0.86 m/s^2

Now that we have the acceleration, we can find the box's mass:

m_box = F_box / a ≈ 47 N / 0.86 m/s^2 ≈ 54.65 kg

The force exerted on the cord is equal to the force acting on the weight, which is 25 N.

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In a stable ecosystem, the number of predators increases if the number of prey increases.

Predators are the species that are dependent upon prey for their foods. predators actually hunt the prey for their food.

predators are the species that depend upon other living species like deer fish goats etc for example lions depend upon deer, zebras, etc.

while the preys are the species who depend upon the plants for their food so if the number of preys will be higher then the number of the predators will also be higher.

Thus In a stable ecosystem, the number of predators increases if the number of prey increases.

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The height of the building using second equation of motion is 35.721 m

What is the second equation of motion?

In kinematics, equations of motion are referred to as the fundamental principles of an object's motion, including velocity, location, and acceleration that occur at variable time intervals. These three motion equations control motion in all three dimensions of an item.

Second equation of motion: s = ut +  a(t^2)/2

where,

s = displacement

u = initial velocity

v = final velocity

a = acceleration

t = time of motion

Given, a = 9.8 m/s/s

           t = 2.7 s

Using this equation we find the height of the building,

s = ut +  a(t^2)/2

  = 0 + 9.8 x 2.7 x 2.7/2

  = 71.442/2

  = 35.721 m

Hence, the height of the building is 35.721 m

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Based on the law of conservation of energy the transformation of energy in a diesel engine is described by Chemical energy to kinetic energy and heat

In a diesel engine, energy is converted from chemical energy (the fuel) to kinetic energy and heat works based on law of conservation of energy.

Energy cannot be generated or destroyed; it can only be changed from one form of energy to another, according to the rule of conservation of energy. This implies that a system always possesses the same amount of energy, barring external energy addition. This is especially perplexing in the situation of non-conservative forces, when energy is changed from mechanical energy to thermal energy while the total amount of energy is kept constant. Energy can only be used by changing forms, which is the only method to do it.

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Yes. The paint can take in energy from the light, causing it to be damaged.

the answer is

A , Yes. The paint can take in energy from the light, causing it to be damaged

Answer:

divide the number of times the event occurs by the length of time.

Explanation:

A ball is thrown vertically upward with a velocity of 20m/s from the top of a multistory building. The height of the point where the ball is thrown is 25 m from the ground. The height will the ball rise is 20m. 5s long will it be before the ball hip the ground.

The direction of a body or object's movement is defined by its velocity. In its basic form, speed is a scalar quantity. In essence, velocity is a vector quantity. It is the speed at which distance changes. It is the displacement change rate.

A. for solving how high will ball go , velocity at the top point will be 0 this gives ,

s = v² - u² / 2a

= 0 - 20² / -2 × 10

= 20m

B. Time to reach maximum height can be obtained from v = u + at

0 = 20 + ( − 10 ) t

t = 2s

s = ut + 0.5at²

= 20 ( 2 ) + 0.5 ( −10 ) ( 2 )²

= 20m

Therefore, the total distance for maximum height is 45 m

s = ut + 0.5at²

45 = 0 + 0.5 ( 10 ) ( t )²

t = 3s

Then,

Total time = 3+2

= 5s

Thus, A ball is thrown vertically upward with a velocity of 20m/s from the top of a multistory building.The height will the ball rise is 20m. 5s long will it be before the ball hip the ground.

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The group of words in bold, "Although poisonous and potentially deadly," is a clause.

In this context, "Although" serves as a subordinating conjunction, introducing a subordinate clause that provides contrasting information. The clause "Although poisonous and potentially deadly" modifies the main clause and adds additional information about the nature of puffer fish. Therefore, it functions as a clause rather than a phrase.The group of words "Although poisonous and potentially deadly" is a clause. It functions as an adverbial clause, modifying the verb "are" in the main clause of the sentence. It provides additional information about the puffer fish being poisonous and potentially deadly.

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Answer:

NO

Explanation:

if it has no acceleration then it's not moving

Answer:

Yes when the velocity is constant then the acceleration is said to be zero. Thus an object with 0 acceleration can be in motion.

Let me give you an example to make you more clear

Example:

When  a car is  traveling at a constant 90 km/h in a straight line has nonzero velocity and zero acceleration.

Answer:

if you like it please do appreciate

To calculate the approximate thermal energy in kilojoules per mole (kJ/mol) of molecules at a given temperature, you can use the Boltzmann constant (k) and the ideal gas law.

The Boltzmann constant (k) is approximately equal to 8.314 J/(mol·K). To convert this to kilojoules per mole, we divide by 1000:

k = 8.314 J/(mol·K) = 0.008314 kJ/(mol·K)

Now, we need to convert the temperature to Kelvin (K) since the Boltzmann constant is defined in Kelvin. To convert from Celsius to Kelvin, we add 273.15 to the temperature:

T(K) = 75°C + 273.15 = 348.15 K

Finally, we can calculate the thermal energy using the formula:

Thermal energy = k * T

Thermal energy = 0.008314 kJ/(mol·K) * 348.15 K

Thermal energy ≈ 2.894 kJ/mol

Therefore, at 75°C, the approximate thermal energy of molecules is approximately 2.894 kilojoules per mole (kJ/mol).

The heat capacity of one mole of water is approximately 75.29/1000 = 0.07529 kj/mol. This value represents the approximate thermal energy in kj/mol of water molecules at 75 ° C.

Thermal energy refers to the energy present in a system that arises from the random movements of its atoms and molecules. When a body has a temperature of 75 ° C, it has a thermal energy that depends on the type of molecules in it and their specific heat capacity.

In this context, we will consider the thermal energy in kj/mol of molecules at 75 ° C.Let's use water as an example to calculate the approximate thermal energy in kj/mol of molecules at 75 ° C. The specific heat capacity of water is 4.18 J/g °C, and the molar mass of water is 18.01528 g/mol. Therefore, the thermal energy in kj/mol of water molecules at 75 ° C can be calculated as follows:ΔH = mcΔt, whereΔH = thermal energy,m = mass of the sample,c = specific heat capacity of the sample,Δt = change in temperature

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Force = mass × acceleration

80 = M × 195

M = 80/195

M ≈ 0,4 kilograms

Answer:

F=ma

a=F/m

so kickball having less mass will result to more acceleration

Explanation: i said so andddd when i put this it said it was right hehe

Answer:

Mass

Explanation:

The mass of an object expresses the amount of matter it comprises. Which implies that objects with higher mass contains higher matter compared to objects with lesser masses. Thereby it determines the measure of inertia experienced by an object when a force is applied to change its direction of motion, or to set it in motion when at rest, or bring it to rest when in motion.

The mass of an object the same no matter its location, and it is measured in kilograms.

Answer:

True

Explanation:

Formula for speed is;

Speed = distance/time

Now, if an object covers an equal distance in equal time intervals, it means the speed will remain the same.

For example if an object covers 3 m every 1 second it means speed will always be; 3/1 = 3 m/s.

Thus the statement is correct.

The magnetic field amplitude of the electromagnetic wave from the 15W point source is 0.60 μT at a distance of 2.10 m.

To solve this problem, we can use the equation for the magnetic field amplitude (B) of an electromagnetic wave at a certain distance (r) from the source:

B = (μ0/4π) * (2πf) * (r^-1) * E

where μ0 is the permeability of free space (4π x 10^-7 T·m/A), f is the frequency of the wave, E is the electric field amplitude, and r is the distance from the source.

We are given that the source has a power output of 15W, but we do not know the frequency of the wave or the electric field amplitude. However, we do know that the magnetic field amplitude at a certain distance is 0.60 μT. So we can rearrange the equation to solve for r:

r = (μ0/4π) * (2πf) * (E/B)

We can assume that the frequency of the wave is constant, so we can combine the constants in the equation and substitute the values:

r = (1.26 x 10^-6 m) * (E/B)

We need to find the value of r that makes B = 0.60 μT. Let's assume that E is also constant and solve for r:

r = (1.26 x 10^-6 m) * (E/0.60 x 10^-6 T)

r = 2.10 m.

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A 75 kg satellite is in a stable circular orbit around Earth at an altitude of 340 km. Then, the speed of the satellite is 7.66 km/s.

The speed of a satellite in a circular orbit around Earth is given by;

v = √(GM/r)

where G is gravitational constant, M is mass of Earth, and r is radius of the orbit (which is the sum of the radius of Earth and the altitude of the satellite).

The mass of Earth is approximately 5.97 x 10²⁴ kg, and the radius of Earth is approximately 6.37 x 10⁶ m. To calculate the radius of the orbit, we need to add the altitude of the satellite (340 km) to the radius of Earth, and convert it to meters;

r = (6.37 x 10⁶ + 340 x 10³) m = 6.71 x 10⁶ m

Plugging in the values, we get;

v = √[(6.67 x 10⁻¹¹ N·m²/kg²) x (5.97 x 10²⁴ kg) / (6.71 x 10⁶ m)]

Simplifying the expression gives;

v = 7.66 x 10³ m/s

Therefore, the speed of the satellite is approximately 7.66 km/s.

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A reference point would be something not on the ship which could be used to calculate distance traveled.

Answer: C.) A lighthouse on a nearby Island

Answer:

C.) A lighthouse on a nearby Island

Answer: Neap tides

Explanation: Neap tides are tides that have the smallest tidal range, and they occur when the Earth the Moon, and the Sun form a 90o angle. They occur exactly halfway between the spring tides when the Moon is at first or last quarter.