A cube with edge length L = 0.29 m and density ρc = 0.89×103 kg/m3 floats in equilibrium in a liquid of density ρl = 1.5×103 kg/m3, with the top of the cube a distance d above the liquid’s surface
A; Write an expression to find d using the image

For an RLC series circuit :
a. The average power dissipated in the resistor for the following values for the capacitance C = 76uF is 3.97W

b. The average power dissipated in the resistor for the following values for the capacitance C = 7.6uF is 4.2W

It is the ability of a component or circuit to collect and store energy in the form of an electrical charge. Capacitors are energy-storing devices available in many sizes and shapes.

a. How to calculate the average power for the capacitance C = 76uF?
V₀ = 100V

n = 500Hz

R = 550 Ω

L = 0.2H

XL = WL = 2 * π * F * L = 2 * 3.14 * 500 * 0.2 = 628 Ω

Xc = 1 / Wc

= 10^6 / 2 * 500 * π * 76

= 10^3 / 76 * 3.14

= 1000 / 238.64

= 4.19 Ω

Z = √R² + (XL - Xc)²

= √550² + (628 - 4.19)²

= √302,500 + 389,138.9

= 831.65Ω

peak current

Io = Vo / Z

= 100 / 831.65

= 0.12A

Irms = Io / √2

= 0.12 / 1.414

= 0.085A

Average power dissipated Pav = Irms^2 * R

= 0.085^2 * 550

= 3.97W

Therefore, the average power dissipated in the resistor for capacitance value 76uF is 3.97W.

b. How to calculate the average power for the capacitance C = 7.6uF?

Xc = 10^6 / 1000 * π * 7.6

= 1000 / 7.6 * 3.14= 41.9Ω

Z = √R² + (XL - Xc)²

= √550² + (628-41.9)²

= √302,500 + 343,513.21

= 803.75Ω

Io = Vo / Z

= 100 / 803.75

= 0.124 A

Irms = Io / √2

= 0.124 / 1.414

= 0.0877 A

Average power dissipated Pav = Irms^2 * R

= 0.0877² * 550

= 4.23W

Therefore, the average power dissipated in the resistor for the capacitance value 7.6uF is 4.23W.  

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Answer:

Below

Explanation:

Find out how long it takes to fall the 30 m ....then use this time and the horizontal velocity to find the answer

For vertical :   d = 1/2 a t^2

                      30 = 1/2 (10) t^2      so t = sqrt 6

Horizontal velocity * time = distance from cliff base

          20 m/s   *   sqrt 6 = 48.99 = ~ 49 meters

The speed of 1.25 ×10³ ft³/min of the airflow is equivalent to 0.56 m³/s.

The speed of a moving body can be defined as a measurement of how quickly the distance a body traveled changes with time. Speed is defined as a scalar parameter as it exhibits magnitude but no direction.

A body that travels faster and with high speed, can travel a lot of ground in a lesser time.

Given, the speed of the airflow of the fan = 1.25 ×10³ ft³/min

We have to express the  ft³/min  into  m³/s:

We know that 1 foot = 0.3 m  and 1 min = 60 s

1.25 ×10³ ft³/min  = 1.25 ×10³ (0.3 m)³/ 60 s

1.25 ×10³ ft³/min  = 0.56 × 10³ ×10⁻³ m³/s

1.25 ×10³ ft³/min  = 0.56 m³/s

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Refer to the attached photo. Would appreciate a rate :)

We can say some external things about body accelaration.

Acceleration of a body is the given as change in velocity is the per unit time of a body. That means it is the ratio of to the final velocity - initially the velocity. Accelaration = v - u t .

As per the given question -

We have to observe the value of horizontal accelaration for boy masses

And the dynamics model for the man and boy.

We can say about accelaration that is accelaration rate at which velocity change with time.in terms of both speed and direction.

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After 90 minutes, there is a 50% chance that the final nucleus will have decayed because element Q has a half-life of 30 minutes for its 4 nuclei. This phrase is frequently used in nuclear physics.

Examining the interaction that now exists between chemists and philosophers of chemistry gives a very singular chance to consider the conceptual nature of the term "element." Robert Boyle, an English scientist, initially proposed the chemical element. A quantity (of substancehalf-life )'s (symbol t12) is the amount of time needed for it to decrease to half of its original value. The phrase is frequently used in nuclear physics to refer to how long stable atoms last or how quickly unstable atoms decay radioactively.

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A resistor is an electrical component that limits or regulates the flow of electrical current in an electronic circuit.

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The acceleration of the Lockheed is 9.38 × [tex]10^{2}[/tex], for the given force and the mass, and using the formula F = m × a, where m = mass, a = acceleration.

The rate at which an object's velocity with respect to time changes is called its acceleration. It is a vector quantity. The direction of the net force imposed on an object determines its acceleration in relation to that force.

A force is an influence that has the power to alter an object's motion. An object with mass can change its velocity, or accelerate, as a result of a force. An obvious way to describe force is as a push or a pull. A force is a vector quantity since it has both magnitude and direction.

F = m × a

7.23 × [tex]10^{5}[/tex]  = 7.7 × [tex]10^{4}[/tex] × a

9.38 × [tex]10^{2}[/tex] = a

Hence, the acceleration of the Lockheed is 9.38 × [tex]10^{2}[/tex], for the given force and the mass.

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With the use of second equation of motion, the magnitude of the initial velocity of the object is 17.72 m/s

Velocity is the distance travel in a specific direction per time taken. It is a vector quantity and it is measured in m/s

Given that a car travels east with an acceleration of 0.20 m/s². It takes 45.0s to travel from position xi at 250.0 m east of the origin, to position xf at 1250 m east of the origin. That is,

The initial velocity of the car at position xi can be found by using the formula

s = ut + 1/2at²

Substitute all the parameters

1000 = 45u + 1/2 × 0.2 × 45²

1000 = 45u + 202.5

45u = 1000 - 202.5

45u = 797.5

u = 797.5/45

u = 17.72 m/s

Therefore, the initial velocity of the car at position xi is 17.72 m/s

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To maintain constant body temperature, living organisms release heat radiation.

Life is dependent on homeostasis, which is the preservation of stable internal conditions, in warm-blooded animals. The consistent body temperature is one of homeostasis's signs. Depending on the species, this temperature for animals should range from 35 to 39.5 °C.

A portion of the heat generated in cells during breathing must be expelled in order to maintain a steady body temperature. Living things can lose heat through convection, conduction, radiation, and the loss of water through breathing and sweating (2260 KJ/Kg is the heat at which water vaporises). Imperceptible sweating and perceptible sweating are the two types of sweating that exist. The body naturally experiences unnoticeable sweating throughout the day.

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The spacing of galaxies inside the universe provides the strongest evidence for the big bang theory, hence choice A is the correct one.

Astronomers use the big bang theory to describe how the cosmos came into being. It is the hypothesis that the universe started out as a single point, then grew and stretched until it reached its current size—and is still growing. Jim Parsons has given an explanation for why he is leaving The Big Bang Theory. The American actor, who has been Sheldon Cooper in the critically acclaimed sitcom for 12 seasons, stated in an interview with The Hollywood Reporter that it was time for him to depart since it had "become increasingly challenging."

Although a hypothesis can never be proven, it must be "testable" through observation or experimentation. Despite these significant issues, the Big Bang Theory has so far mainly held up to observations and is widely regarded among the cosmology community.

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When the temperature of aluminium is increased, the metal expands and this is called thermal expansion.

Answer:

PLS RATE AS BRAINIEST

Explanation:

Types of metals are:-

USES OF METALS

I HOPE THIS HELPED

The average force exerted on the probe from the moment the rockets fire at t = 0 s to the moment it is at rest on the planet is about b. 10000N

As is visible from the graph

the velocity of the space probe at t = 0 sec

v₁ = 5000 m/s

the velocity of the space probe at t = 100 sec

v₂ = 0 m/s

therefore, average negative acceleration = v₂ - v₁ / t

= 0 - 5000 / 100 m/s²

therefore average force exerted on the probe

F = ma = 200 × 50 N

= 10000N

hence the average force is 10000N

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(complete question)

A 200. kg space probe descends to the surface of a planet. the speed of the probe during the time of descent is graphed above. the average force exerted on the probe from the moment the rockets fire at t = 0 s to the moment it is at rest on the planet is about... A) 2 800 N B) 10 000 N C) 145 000 N D) 29 000 000 N

The potential of the athletes gravitational potential energy during running up a hill increases by 245000 Joules.

The energy that an object stores as a function of its height or vertical position is known as gravitational potential energy. Because of the Earth's gravitational pull on the object, the energy is stored.

The relationship between mass, gravity, and change in height is defined mathematically. The formula is used to calculate it is:

PE = m × g × h

Here, it is given that-

The mass of the athlete = 50 Kg

The Initial height, h1 = 400 m

The final height, h2 = 900 m

Firstly, gravitational potential energy is calculated when athlete is at a height of h1 that is 400 m. On the putting the given values in the formula-

PE1 = 50 × 9.8 × 400

PE1 = 196000 Joules

Next, we will calculate the gravitational potential energy when athlete is at a height of h2 that is 900 m. By putting the values in the formula, we get-

PE2 = 50 × 9.8 × 900

PE2 = 441000 Joules

Now, to calculate the increase in gravitational potential energy when athlete runs up a hill from a height of 400m to 900m we can subtract the potential energies-

Potential by which athlete's gravitational potential energy increases = PE2 - PE1 = 441000 - 196000 = 245000 Joules or 245 kilo joules

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The complete question is:

An athlete with a mass of 50 kg runs up a hill. The foot of the hill is 400 m above sea level and the summit is 900 m above sea level. Calculate by how much the athlete's gravitational potential energy increases.

While running up a hill, an athlete's gravitational potential energy increases by 245,000 joules.

How much energy does gravity potentially hold?

Gravitational potential energy is the amount of energy an object may hold depending on its height or vertical position. The energy is trapped by the gravitational pull of the Earth on the object.

Mathematical formulas are used to define the relationship between mass, gravity, and height change. It is calculated using the following formula:

PE = m × g × h

It is said here that-

The athlete weighs 50 kg.

Initial height, 400 m (h1)

H2 = 900 metres is the final height.

First, the athlete's gravitational potential energy is determined when they are 400 metres above the ground (h1). Upon entering the specified values into the formula:

PE1 = 50 × 9.8 × 400

196000 Joules for PE1.

The gravitational potential energy for an athlete at a height of h2 of 900 m will then be determined. When we enter the values into the formula, we obtain:

PE2 = 50 × 9.8 × 900

PE2 equals 441,000 Joules

Now, we can subtract the potential energies to determine the increase in gravitational potential energy that occurs when an athlete sprints up a hill from a height of 400 to 900 metres.

PE2 - PE1 = 441000 - 196000 = 245000 Joules, or 245 kilojoules, is the potential by which an athlete's gravitational potential energy increases.

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When the bus is fully loaded, the center of gravity rises to 1.73 m, and the critical angles are 35.3 degrees for the unloaded bus and 30.6 degrees for the loaded bus, respectively.

Theoretically, the body's total weight is concentrated at a location called the center of gravity.

The main distinction between the centers of mass and gravity is that the center of gravity refers to the location where the total weight of the body is balanced, whereas the center of mass refers to the location where the body's complete mass is directed.

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Answer:

Explanation:

Given:

m = 2 050 km

M = 5.98·10²⁴ kg

h = 4.89·10⁵ m

R = 6.37·10⁶ m

____________

F - ?

F = G·m·M / R²

F = 6.67·10⁻¹¹·2050·5.98·10²⁴ / (6.37·10⁶)² = 18 400 N

Route poising, as opposed to merely discontinuing to display the route, refers to promoting the unsuccessful route with a "infinite" metric. Poison reversal is the practice of poisoning a route by publicizing it.

In physics, the term "time reversal" refers to the mathematical process of substituting the word for time in equations or equations with its opposite in order to depict a situation in which time moves backwards or the motion are inverted. The cosmos cannot be "unmixed." This eventually suggests the time only exists as a result of the Big Bang.

In physics, the term "time reversal" refers to the mathematical process of substituting the word for time in formulas for equations with its opposite in order to represent a situation in which time moves backward or all motions are inverted.

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At points h and k, the normal linear shearing strains are 0.423 in.3 and 0.16536 in.3, or 1982.3 psi and 156.1 psi, respectively.

The word "force" has a specific meaning in science. At this level, calling a force a push or indeed a pull is entirely appropriate. A energy is not something an object "has in it" or that it "contains." One thing experiences a force from another. There are both living things and non-living objects in the concept of a force.

Briefing:

To replace all forces on a pipe by the equivalent force

T= 8× 50 = 400lb.in

M = 16.30 = 480lb.in

F₂ = 50lb

To calculate the polar moment of inertia of shaft is

J = π/π²×(R⁴-r⁴)

= π²/2×(0.875⁴ - 0.750⁴)

= 0.423in.³

To calculate the moment of inertia

J= 1/2(J)

=1/2 (0.423)

=0.21188in.³

To calculate shear flow

Qy= 2/3(R³-r³)

= 2/3(0.875³- 0.750³)

= 0.16536in.³

To calculate the thickness of the shaft

t= R-r = 0.875 - 0.750 = 0.125 in.

The stress due to torsions is.

Tx = TR/J = 400 × 0.875/0.42376

=825. 9psi.

The stress due to bending

Qx =My/T = 480 × 0.875/0.2118

=1982.3psi

The stress due to transverse shear

Qx = VQ/I(2t)

=50 × 0.16536/0.2118× 0.250

=156.1psi

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Answer:6.897m/s

Explanation: velocity is the change of distance with time in a specified direction.

therefore to find velocity divide distance given by Time

V=distance/time

  =400m/58s

  =6.897m/s

29 m/sec fast it will be travelling when it reaches the ground, 43 m below.

Energy conservation, a  basic rule of physics and chemistry states that despite internal changes, the overall energy of an isolated system remains constant. It is the underlying principle of the first rule of thermodynamics, which is most frequently stated as "energy cannot be generated or destroyed."

As an illustration, a radio converts electrical energy into sound energy.

Given that,

height (h) = 43 m

g = 9.8 m/sec

Using the conservation of energy,

mgh = 1/2 m v²

or, v = [tex]\sqrt{2gh}[/tex]

or, v = [tex]\sqrt{2 * 9.8 * 43}[/tex]

or, v = 29 m/sec.

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When a net force of 140 Newton's is applied to a wagon for 10 seconds, this causes the wagon to undergo a change of momentum of  1400 Newton-second.

momentum is the product of a particle's mass and velocity. Being a vector quantity, momentum possesses both magnitude and direction. According to Isaac Newton's second equation of motion, the force applied on a particle is equal to the time rate of change of momentum.

Given that:

Net force acting on the wagon: F = 140 Newton.

Time duration: t = 10 seconds.

According to Isaac Newton's second equation of motion:

Force acting on the wagon = change in momentum/time duration

⇒ Change in momentum =  Force acting on the wagon × time duration

= 140 × 10 Newton-second.

= 1400 Newton-second.

Hence, The wagon  undergoes a change of momentum of 1400 Newton-second.

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If we rearrange the circuit so that the inductor and capacitor were connected in series,the impedance would be  Decreased and the resonant frequency would be unchanged.

Frequency is the rate at which something occurs over a particular period of time or in a given sample.

Sol-An LC circuit is made up of an inductor (L) and a capacitor (C). At the resonance condition of the LC circuit, the inductive reactance XL. becomes equal to the capacitive reactance Xc.

It is defined as-

XL= 2πfL

Xc= 1/2πfC

So when reactances are equal we have-

XL=Xc

2πfL= 1/2πfC

f^2=1/4π^2LC

f=1/2π√LC

The resonance condition is the same for both the parallel and series LC circuit, so the resonance frequency will not change.

The impedance of a parallel LC circuit is:

Z(w)= jL w^2-w^2•/w

In a series LC circuit, when w

, the impedance becomes equal to 0.

Therefore the impedance of a series LC circuit will decrease and the resonant frequency will remain the same.

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Amplitude is one of these qualities. The largest movement of a particle on the medium from its rest position is referred to as a wave's amplitude.

Wavelength:

The wavelength of the wave is the distance covered by it throughout a whole oscillation.

A metre is the wavelength's SI unit (m).

Frequency:

The frequency of a wave is the number of oscillations it performs in a second.

It's calibrated in hertz (Hz).

time frame

The amplitude of the wave is the length of time it takes for one oscillation to complete.

Time is measured in S amplitude:

The wave's amplitude is defined as its largest departure from its mean or equilibrium position.

A measure of amplitude

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According to Ampere Maxwell's law, the first half, the magnetic field can be created by the changing electric field. So, the electric field strength is changing.

In a static electric field, according to Ampere maxwell law, the divergence at one point is equal to the electric charge volume density ρ at that point divided by ε0. The physical meaning of this statement is that a circulating magnetic field is created by an electric current and also may be by an electric field that changes with time.

An electric current, or we can say a changing electric flux through a surface, has the ability to produce a circulating magnetic field around a path that bounds the given surface. The direction of the current and the induced magnetic field is known by the right-hand rule, as shown below.

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The magnitude and units of the earth's gravitational acceleration are 9.8 m/s2 downward. The motion of an object is altered by a net force.

What causes acceleration?

Acceleration is the rate at which the speed and direction of a moving object shift over time. Anything is said to be speeding when it starts to move either faster or slower. Even if the speed is constant, motion on a circle accelerates because the direction is constantly shifting.

What three forms of acceleration are there?

Mainly, The three different types of accelerated motions are uniform acceleration, non-uniform acceleration, and average acceleration. A motion in which an object moves in a straight line while accelerating is referred to as uniform acceleration.

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The heart's power output , based on an assumption of 70 beats per minute, is 0.93W. An average of 105 mm-Hg of pressure is used to push out 73 cm3 of blood throughout each heartbeat.

Power is the quantity of energy that is transported or transformed per unit of time in physics. The average blood pressure is 105 mm Hg, or 70 beats per minute, or 1.16 beats per second (1 mm Hg = 133 N/m2), depending on the number of heartbeats per minute.

Power output is given by the formula P =nW,

where n =heart rate work done is given by the formula

W = =pAd =pV,

therefore W =pV.

derived from equations (1) and (2), P =nPV = ((70/60)beats/s)(105133 N/m2)(7310-6m3)

P = 0.93 W for power output

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Answer:

Time=Distance÷Speed

Time=250m(50m×5)÷5m/s

Time=50s

Answer:

The frequency and wavelength of electromagnetic radiation are inversely related.

Explanation:

Frequency and wavelength are inversely proportional. Theoretically, they are governed by [tex]\lambda * f = v[/tex], where lambda represents the wavelength, f represents the frequency, and v represents the speed of a wave. In this case, we can empirically notice from model 3 that as the wavelength increases(i.e., we move to the right of the electromagnetic radiation spectrum), the frequency decreases and vice versa. For example, long radio waves have a very high wavelength and a low frequency, whereas gamma rays(on left) have very high frequencies and low wavelengths. Thus, we can conclude that they are inversely related.