What describes the speed of a planet traveling in an elliptical orbit around the sun? a. Constant b. Fastest when closest to the sun c. Slowest when closest to the sun d. Fastest when closest to the moon.

The impulse generated by the rocket is 15000 Ns

Solution:

Mass of the rocket = 465kg

Velocity of the rocket = 75m/s

Time taken = 30s

Impulse = [tex]I = F \Delta t[/tex]

[tex]I = \int F(t)dt[/tex]

Impulse so generated is equal to the area of triangle

I = [tex]\frac{1}{2} \times 30\times1000[/tex]

I = 15000 Ns

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A car driving up a hill at a constant speed experiences no change in its kinetic energy while it's potential energy increases with increasing height, thus none of the options are correct.

Understanding the concept

Consider a car moving up the hill at a constant speed as shown in the figure below. The following forces act on the car:

Here as the car is moving up the hill at a constant speed, the net force exerted on the car is zero. Also, the kinetic energy of the car will not change as its velocity is constant and the potential energy will change with increasing height. Thus, none of the given options are correct.

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The time taken by the metal balls of the same size but different weight, to reach the ground will be the same.

Reason behind:

Two metal balls are the same size, but one weighs twice as much as the other. The balls are dropped from the top of a two-story building at the same instant of time. It is required to find the time taken by the balls to reach the ground.

In free fall, all objects experience the same acceleration owing to gravity when they are close to the earth.

[tex]g=9.8 \text{ m/s}^2[/tex] is the measure of gravitational acceleration.

Because of this, the two metal balls are the same size but have different masses. The air resistance for both balls will be the same due to their similar sizes. Let, g' be the acceleration in the presence of air resistance. The balls are both discharged at once.

From a height of h, both balls descend due to gravity G'.

Therefore, the time taken by both balls is:

[tex]\begin{aligned}&s=u t+\frac{1}{2} g t^{2} \\&u=0, s=h \\&t=\sqrt{\frac{2 h}{g}}\end{aligned}[/tex]

Therefore, the time is independent of mass. Thus the time taken by both the balls, will be about the same.

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As the temperature of the lead and helium is the same. Thus the average kinetic energy is also the same for lead and helium.

Reason:

It is given that a 5.0-kg bar of lead is placed inside a 12-L chamber filled with helium gas. The temperature of the lead and helium is the same. It is required to compare the average kinetic energy of the lead atoms and helium atoms.

The average kinetic energy is calculated as, [tex]K=\frac{3}{2} \frac{R}{N} T[/tex].

Here K is the average kinetic energy,  R is the gas constant, N is the Avogadro's number, and T is the temperature.

As the temperature is the same for both lead and helium. As a result, the average kinetic energy is also the same for lead and helium.

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Answer:

Explanation:

Mercury, the first planet from the Sun, endures drastic temperature changes from day to night. During the day, the planet is incredibly near to the Sun, with temperatures reaching 430°C.

(a) The magnitude of the impulse delivered to your roof is 1.134 × 10⁻⁴ kg m/s.

(b) The magnitude of the force of the impact is 0.307 N.

Given that,

Mass of the rain drop is m = 0.014 g = 0.014 × 10⁻³ kg

Speed of the rain v = 8.1 m/s

Time of motion t = 0.37 ms = 0.37× 10⁻³ s

The following formula is used to determine the roof impulse,

J = ΔP = m× v

⇒ (0.014 × 10⁻³)× 8.1 = 1.134 × 10⁻⁴ kg m/s

Newton's second law of motion is used to compute the force of impact in the following ways,

F = m × a

F = [(0.014× 10⁻³) 8.1]/(0.37× 10⁻³) = 0.307 N

The given question is incomplete. The complete question is 'a. What is the magnitude of the impulse delivered to your roof?

b. If the raindrop comes to rest in 0. 37 ms, what is the magnitude of the

average force of the impact?'

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Answer:

4x + 3

Explanation:

The number of people who can go to the amusement park is 8.

The mathematical expressions with inequalities are those with unequal sides on both sides. Unlike equations, we compare two values when we work with inequality.

Here,

The total amount they have, z = $325

Amount of parking charge, x = $11

Amount for ticket cost, y = $39.25

Let the number of people who can go to the amusement park be p.

So, the expression for the inequality can be written as,

x + yp = z

Applying the values of x, y and z,

11 + 39.25p ≤ 325

39.25p ≤ 325 - 11

39.25p ≤ 314

Therefore, the number of people who can go to the amusement park,

p ≤ 314/39.25

p ≤ 8

Hence,

The number of people who can go to the amusement park is 8.

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All of the following are true statements about phosphor storage plate (PSP) imaging system imaging plates except they: should be autoclave.

An autoclave is a device used in industrial and scientific procedures that call for higher temperature and pressure in comparison to ambient temperature. Before doing surgery, autoclaves are used to sterilize the area. In the chemical sector, autoclaves are used to vulcanize rubber, cure coatings, and perform hydrothermal synthesis. Industrial autoclaves are employed in a variety of industrial settings, particularly in the production of composite materials. Depending on the size of the load and the contents, many autoclaves sterilize equipment and supplies by exposing them to pressurized saturated steam at 121 °C (250 °F) for 30 to 60 minutes at a pressure of 15 psi.

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The new natural frequency would be ω/2.

we know that,

[tex]f = \frac{1}{2 pi \sqrt{LC} }[/tex] = ω.       -> equation 1

now, when capacitance is quadrupled,

[tex]f' = \frac{1}{2 pi \sqrt{L ( 4C )} }[/tex]

[tex]f' = \frac{1}{2 pi (2)\sqrt{LC} }[/tex].           -> equation 2

substituting value of equation 1 in equation 2 , we get,

[tex]f' = \frac{w}{2}[/tex]

Hence, the new natural frequency of the circuit is ω/2.

what do you mean by frequency ?

The resonant frequency for a particular circuit is the frequency at which this equality stands true. Where L is the inductance in henries and C is the capacitance in farads, this is the  LC circuit's resonant frequency.

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Having a flat tire is one of the predominant inconveniences of riding. A guide car jack is designed to raise the vehicle high sufficient to eliminate the flat tire.

Converting a tire is definitely an alternative bodily trauma. we need to place a few muscles in getting the lug nuts off and cranking the jack, after which you need to bend down and lift the tire. regularly, oldsters will try to do all of this in a rush to get on their way, however, it really is a mistake.

To change eliminate the flat tire. The following steps should be followed:-

Having a flat tire is one of the predominant inconveniences of riding. while a terrific spare is unavailable, you both have to call a tow truck or repair the tire ourselves. luckily, the process of fixing it yourself is noticeably sincere and requires only a few gears.

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Answer:

Electric field is defined as the electric force per unit charge. Light, X- rays, radio waves, microwaves etc. contains electric field component's in it.

Explanation:

Answered by :

[tex] \pink{ \star} \pmb{ \text{ \pink{seolleaphrodite }}} \pink\star[/tex]

Answer:

a region around a charged particle or object within which a force would be exerted on other charged particles or objects.

The minimum coefficient of friction which allow cars to take the turn without sliding off the road is 0.617

Friction is the force resisting the relative motion of the surface sliding against each other.

here, given that

m = mass of car

The velocity of the cars, v= 60 km/h = 17 m/s

The radius of the curve, R =200 m.

The velocity of the cars on the highway curve, v' = 40 km/h = 11 m/s

In order to allow the cars to take the turn without sliding off the road, the Centripetal Force must be equal to the frictional force between the tires  of the car and road.

Centripetal Force = Frictional Force

mv²/r = μR

here

R = Normal Reaction = Weight of Car = mg

Therefore,

mv²/r = μmg

μ = v²/gr

μ = (11)² / (9.8)(200)

μ = 0.0617

hence

The minimum coefficient of friction which allow cars to take the turn without sliding off the road is 0.617

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The voltage across the ends of the heating element is 125 volts.

Power = 500J/s = 500 Watts. I = 4A

V*I = 500

V = 500/I = 500/4 = 125 Volts.

The difference between two points' electric potentials, also known as electric potential difference, electric potential pressure, or electric tension, is what moves a test charge between the two points in a static electric field. The derived unit for voltage (potential difference) in the International System of Units is called volt. 166 Work per unit charge is stated in SI units as joules per coulomb, with 1 volt equaling 1 joule (of work) for 1 coulomb (of charge). The quantum Hall and Josephson effect was first used to define the volt in the old SI system in 1990. More recently, fundamental physical constants have been included to the definition of the volt in the new SI system.

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Answer: The weight of a hydraulic barber's chair with a client is 2000 N. When the barber steps on the input piston with a force of 40 N, the output plunger of a hydraulic system begins to lift the chair. Then the ratio of the radius of the output plunger to the radius of the input piston will be 7.07.

Explanation: To find the answer, we have to know more about the Pascal's law and the hydraulic lift.

                            [tex]P_1=\frac{F_1}{A_1}[/tex]

                            [tex]P_2=\frac{F_2}{A_2}[/tex]

                          [tex]\frac{F_2}{A_2} =\frac{F_1}{A_1}[/tex]

                     [tex]\frac{A_{Plunger}}{A_{piston}} =\frac{F_{Plunger}}{F_{piston}}[/tex]

                    [tex]\frac{R_{Plunger}}{R_{piston}}=\sqrt{ \frac{F_{Plunger}}{F_{piston}}}=\sqrt{\frac{2000}{40} } =7.07[/tex]

Thus, we can conclude that, the ratio of the radius of the output plunger to the radius of the input piston will be 7.07.

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Answer:

B 85.8m/s

Explanation:

frequency(Hz) = 220

wavelength(m) = 0.39

formula for Speed of a wave

Speed = Wavelength x Frequency

speed = 0.39 × 220

speed = 85.8m/s

i hope this helped

Answer:  B. 85.8 m/s ✅

Explanation: The speed of a wave can be calculated using the equation:

Velocity = Frequency * Wavelength

Given that the frequency of the wave is 220 Hz and the wavelength is 0.39 m, we can plug these values into the equation:

Velocity = 220 Hz * 0.39 m

The speed of the wave is 85.8 m/s or approximately 309 km/h or 192 mi/h ✅

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The nuclear fusion of hydrogen atoms releases a huge amount of energy. So the correct choice is C. Conversion of mass to energy.

What is nuclear fusion?

When two small nuclei join to form a new nucleus, then this process is termed nuclear fusion. A huge amount of energy is released when there occurs nuclear fusion between the two nuclei. And a new element is formed.

It has been observed that the amount of energy released in nuclear fusion is equal to the mass difference between the mass of the formed nucleus and the total mass of old nuclei. Hence in the nuclear fusion of hydrogen nuclei to form a helium nucleus, the energy is released due to the conversion of mass into energy.

The pressure is increased to make the hydrogen atoms fuse but this change in pressure does not contribute to the energy released in the fusion of hydrogen.

The magnitude of the gravitational field is too low and it does not contribute to the energy released in the fusion of hydrogen.

The gravitational collapse does not occur between the two hydrogen atoms. This phenomenon occurs in celestial bodies so this also does not contribute to the energy released in the fusion of hydrogen.

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The planetary temperature energy balance is obtained by radiating back the absorbed radiation energy from outer-space, by the planet and thus acquiring thermal equilibrium.

What is the process of attaining thermal equilibrium by Earth?

The Stefan-Boltzmann law states that the more the temperature a planet has, the more it will radiate out to reach thermal equilibrium.

We know that outer space contains large masses of radiative energy freely distributed in its vast expanse. A small fraction of this energy is absorbed by the Earth through the atmosphere, surface land, clouds etc.

Now, radiative balance is achieved when a planet's surface continuously warms up until it reaches its peak at which point the same amount of absorbed energy can then be radiated back to space. The relative amount of energy radiated back by a planet is dependent upon the size of the planet.

A colder planet relatively absorbs lower amount of radiation energy from space. In some time, as the planet heats up enough, the energy is radiated back to the space attaining thermal equilibrium.

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The mechanical energy of the given flying object is 10,340 MJ. So the correct choice is 10,340 MJ.

Mechanical energy: The mechanical energy of an object is the sum of its potential energy and kinetic energy.

The formula for the mechanical energy E is:

E=K+U

where K is the kinetic energy and U is the potential energy.

Kinetic energy: The energy possessed by an object due to the motion.

The kinetic energy is given by the formula,

K=(1/2)*(mv^2)

where m is the mass of the object and v is the velocity of the object.

Potential energy: The energy possessed by an object due to its relative position from a given point.

The potential energy is given by the formula,

U=m*g*h

where g is the acceleration due to gravity and h is the height of the object from the ground.

Substitute K=(1/2)*(mv^2) and U=m*g*h in the formula of the mechanical energy to get the following formula,

E=(1/2)*(mv^2)+m*g*h

Given that m=80000 kg, h=10 km, and v=900 km/h, and the value of g is 9.8 m/s^(-2), the value of the total mechanical energy is,

E=(1/2)*(80,000 kg)(900 km/h )^2+(80,000 kg)*(9.8 m/s^(-2))*(10 km)

Note: 1 km= 1000 m and 1 km/h = 5/18 m/s. 1 MJ = 10^(6) J

E=(1/2)*(80,000 kg)*(900*(5/18) m/s )^2+(80000 kg)*(9.8 m/s^(-2))*(10000 m)

E=(1/2)*(80,000 kg)*(250 m/s)^2+7840*10^(6) J

E=2500*10^(6) J+7840*10^(6) J

E=10340*10^(6) J

E=10340 MJ

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Graviton

Graviton, postulated quantum that is thought to be the carrier of the gravitational field. It is analogous to the well-established photon of the electromagnetic field.

String theory states that everything in our Universe is made up of tiny vibrating strings. These strings are one dimensional objects and are identical to one another.

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The number of turns in the secondary coil of the transformer is 50.

What is a Transformer?

The transformer is a device used to increase or decrease the input voltage.

The ratio of the output voltage to the input voltage gives the turn ratio of the secondary coil and the primary coil. The ratio is given by the formula,

V2/V1=n2/n1

where V2 is the output voltage, V1 is the input voltage, n2 is the number of turns on the secondary coil and n1 is the number of turns on the primary coil.

Given V1=120 V, V2= 6 V, and n1=1000 turns, substitute these values in the above formula and solve it to get the value of n2.

6/120 = n2/1000

n2=6*1000/120

n2=50

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Inspiratory reserve volume is the additional amount of air that can be inhaled at the end of quiet inspiration.

Inhalation : The act of drawing air into the lungs during inspiration, also known as inhalation.

By establishing a pressure differential between the lungs and the atmosphere, it is accomplished.

The diaphragm contracts toward the abdominal cavity as air enters the lungs, creating more room in the thoracic cavity for the air to fit.

Inspiratory reserve volume is the additional volume of air that can be maximally inspired after finishing a typical, quiet inspiration.

Or the volume of air that can be inhaled following a regular breath is known as the inspiratory reserve volume.

It is denoted by IRV.

In men average IRV is 3.3 L whereas in women it is about 1.9 L

Hence, Inspiratory reserve volume is the additional amount of air that can be inhaled at the end of quiet inspiration.

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If I hold a positive charge in my hand and there are positive charges of equal magnitude 1 mm to your north and 1 mm to your east then the direction of the force on the charge I am holding is towards the north-east direction.

Reasoning:

It is given that there is a positive charge in my hand. There are two more positive charges with the same magnitude. One is 1 mm far towards the east, and the other one is 1 mm far towards the north. It is required to find the direction of the force acting on the charge in my hand.

Let the magnitude of the charge in my hand is Q, and the magnitude of the other charges is q.

Thus the electric force applied on the charge in my hand due to each other is,

[tex]F=\frac{kQq}{r^2}[/tex]

Here k is the Coulomb constant, and r is the distance between the charges.

It is also known that the force on a positive charge due to another positive charge is acted outwards.

Thus, the force on the charge due to the charge on the east is,

[tex]\vec{F_1}=\frac{kQq}{( 10^{-3}\text{ m})^2}\hat{i}[/tex]

And the force on the charge due to the charge on the north is,

[tex]\vec{F_2}=\frac{kQq}{( 10^{-3}\text{ m})^2}\hat{j}[/tex]

As the forces are equal in magnitude and one is perpendicular to the other, thus the net force will be acted at an angle of [tex]45^\circ[/tex] from the north or from the north direction.

Thus the net force is acting in the north-east direction.

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The thicker wire has one-fourth the resistance of the thinner wire.

The characteristic of a substance that prevents the flow of current is known as resistance. The free electrons begin to move in a specific direction when a voltage is applied across the conductor. These electrons collide with atoms or molecules as they move, creating heat in the process. These atoms or molecules prevent free electrons from moving through a substance. Resistance is represented by the symbol R.

Specific resistance is another name for resistivity. A substance with certain dimensions, such as one meter in length and a cross-sectional area of one square meter, has a resistance that is represented by its resistivity. Resistivity or specific resistance is represented by ρ.

The relation between resistance R and resistivity ρ is given as:

                                                R = ρL/A

where,

R = resistance of the conductor

ρ =  resistivity of the material

L = length of the conductor

A = cross-sectional area of the conductor

Given,

r₁ = 2r₂

L₁ = L₂

where

r₁ = radius of the first conductor

r₂ = radius of the second conductor

L₁ = length of the first conductor

L₂ = length of the second conductor

To find

R₁/R₂ =?  (the ratio of R₁ and R₂)

If the radius is twice the other then the area will become,

A₁ = π r₁²

A₂ = π r₂²

A₁ = π (2r₂)²

    = 4π r₂²

Therefore,

A₁ = 4 A₂

Now put the values in formula,

R = ρL/A

R₁/R₂ = ρ L₁ A₂/  ρ L₂ A₁

R₁/R₂ = L A₂/ L (4A₂)

R₁/R₂ = 1/4

R₁ = R₂/4

Hence, the thicker wire with twice the radius of thin wire has one-fourth the resistance of the thinner wire.

I understand the question you are looking for is this:

How do the resistances of two conducting wires compare if they have the same length, but one is twice the radius of the other?

(a) The thicker wire has half the resistance of the thinner wire

(b) The resistance is the same in both wires

(c) The thicker wire has one-fourth the resistance of the thinner wire

(d) The thicker wire has twice the resistance of the thinner wire.

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The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.

What is the deflection angle?

A deflection angle is an angle between the onward extension of the previous leg and the line ahead.

Here,

deflection angle as laser enters the beam, B = 22.6º

refraction index of glass, n1= 1.52

refraction index of polystyrene plastic, n2 = 1.59

for the second surface,

B  = 45º - 22.6º

B  = 22.40º

According to Snell's law:

n1 sinФ1 = n2 sinФ2

sin B / sinФ = n1 / n2

sinФ = (sin 22.40º) * ( 1/ 1.59)

Ф = 37.29º

Thus,

The deflection angle would have been 37.29º if the prism had been made of polystyrene plastic.

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White lights can sometimes be found on red buoys.

Hence, Option C is correct answer.

Thus from the above conclusion we can say that White lights can sometimes be found on red buoys.

Hence, Option C is correct answer.

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While the skin has the ability to block UV light which may cause damage, it also has the ability to absorb Drugs.

Skin is the largest organ of the body. It is usually soft, and flexible outer tissue. It is involved in Protection, Sensation and Regulation. It has the ability to Block UV light through Melanin and it has ability to absorb drugs through the Dermal Absorption through the skin. It is porous and hence has the ability to absorb:

Hair follicles and the pores absorbs the best present all over the body.

Substances can enter the skin through openings, getting absorbed into the dermis where blood vessels nourish the skin.

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An example of a solid that sunlines is a billboard.

A billboard simply refers to a very large board which is usually, frequently and most of the time used for displaying advertisements

So therefore, an example of a solid that sunlines is a billboard

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At 0 frequency (0Hz) or DC, the capacitor acts like an open circuit due to its reactance for this reason blocking off any output voltage feedback. As a result, little or no negative feedback is furnished from the output again to the input of the amplifier.

Therefore at low frequencies, the LPF has finite output and at high frequencies the output is nil, that's identical to an integrator circuit. for this reason, a low skip filter can be said to be worked as an integrator. Then the voltage variant in C may be very small.

A common op-amp circuit uses a remarks capacitor to limit the bandwidth. proscribing op-amp bandwidth will reduce noise, so a remarks capacitor is not an unusual way to reduce noise. To apprehend how the comments capacitor works, remember that a capacitor acts as a brief to “high frequency” AC indicators.

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You need the atomic mass of calcium, oxygen and carbo, the balanced chemical equation and the molar ratio between Calcium carbonate and calcium oxide.

1. If you know the atomic mass of the elements, you can calculate the molar mass of Calcium Carbonate (CaCO3) and the mass of Calcium Oxide (CaO).

2. The balanced equation is CaCO3 -> CaO + CO2

3. The molar ratio between CaCO3 and CaO is 1:1, which means that the descomposing of one mole of calcium carbonate produce one mole of calcium oxide.

4- The last thing you should do is to conver the 4.7 kg of CaCO3 to moles and with the molar ratio calculate the mass of CaO

Explanation:

Any confusions you may ask!

When you double capacitance and inductance, the new resonance frequency becomes f/2.

The resonance frequency of RLC series circuit, is the frequency at which the capacity reactance is equal to inductive reactance.

It can also be defined as the natural frequency of an object where it tends to vibrate at a higher amplitude.

Xc = Xl

which gives the value for resonance frequency:

[tex]f = \frac{1}{2\pi \sqrt{LC} }[/tex]

where;

f is the resonance frequency

L is the inductance

C is the capacitance

When you double capacitance and inductance, the new resonance frequency becomes;

[tex]f' = \frac{1}{2\pi \sqrt{2L2C} }[/tex]

[tex]f' = \frac{1}{2\pi \sqrt{4LC} }[/tex]

[tex]f' = \frac{1}{\pi \sqrt{LC} }\frac{1}{2}[/tex]

[tex]f' = \frac{1}{2} f[/tex]

Thus from above,

When you double capacitance and inductance, the new resonance frequency becomes f/2.

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