the orbital speed of the material in the solar nebula at pluto's average distance from the sun is about 5 km/s .what was the orbital speed of this material when it was 28,000 au from the sun (before it fell inward with the collapse of the nebula)? use the law of conservation of angular momentum. express your answer to two significant figures and include the appropriate units.

Answer:

Given,

Object distance, u=25cm

Focal length, f=20cm

From mirror formula

f

1

​

=

v

1

​

+

u

1

​

−20

1

​

=

v

1

​

−

25

1

​

⇒

v

1

​

=−

20

1

​

+

25

1

​

v=100cm

The image will be real, inverted magnified

Explanation:

Given,

Object distance, u=25cm

Focal length, f=20cm

From mirror formula

f

1

​

=

v

1

​

+

u

1

​

−20

1

​

=

v

1

​

−

25

1

​

⇒

v

1

​

=−

20

1

​

+

25

1

​

v=100cm

The image will be real, inverted magnified

The condition for the first dark fringe through a single slit of width w is when the path difference between the rays passing through the top and bottom edges of the slit is half a wavelength, which causes destructive interference and results in a dark band on the screen.

This can be expressed mathematically as sin θ = λ/w, where θ is the angle between the direction of the incoming light and the direction of the diffracted light, λ is the wavelength of the light, and w is the width of the slit.

The condition for the first dark fringe in a single-slit diffraction pattern occurs when the path difference between adjacent rays is equal to half the wavelength (λ/2). This can be represented by the equation:

sin(θ) = λ/(2w)

where θ is the angle of the first dark fringe, λ is the wavelength of the light, and w is the width of the slit.

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Answer:

12 kg m/s.

Explanation:

The momentum of an object is equal to its mass times its velocity. In this case, the mass of the golf ball is 0.05 kg and its velocity is 240 m/s, so the momentum of the golf ball is:

0.05 kg * 240 m/s = 12 kg m/s

So, the momentum of the golf ball moving at 240 m/s is 12 kg m/s.

Answer:

Cell theory is the scientific theory that states that all living things are composed of cells and that cells are the basic unit of life. The three principles of cell theory are the cell is the smallest unit of life, all cells come from preexisting cells, and cells are the basic unit of function in living things.

Explanation:

Please mark me brainliest

Answer:

Temporary? You have two options

If you have a positively charged object, bring it close to the LEFT side of the ball (not touching it!).

If you have a negatively charged object, bring it close to the RIGHT side of the ball (again, not in contact).

Either way, the electron cloud will migrate towards the right side of the of your sphere.

Another option is to have a capacitor large enough to house the sphere inside it, and polarize it by attaching it to a DC source making sure that the negative plate of it is to the right of the sphere.

Answer:

Explanation:

Answer:

d=75 m

Explanation:

The horizontal launching speed is, v = 30 m/s

The vertical distance above the ground is= h m

The time of flight t= 2.5 s

The formula for free fall to apply here is:

h=1/2 *g * t²  where g is acceleration due to gravity = -9.8 m/s² and t=2.5 s

Finding h, as ;

h= 1/2 * -9.8 * 2.5² = 30.63 m

Applying the formula for range (distance d)

R= v * t

R= 30 *2.5 =75 m

The range is 75 meters.

The functioning of a radio obeys the energy conservation principle, the energy is conserved throughout the process of transmitting sound waves.

Radio is a device that receives and broadcasts electromagnetic waves in the radio frequency (RF) range. The energy conservation principle states that energy can neither be created nor destroyed, but it can be converted from one form to another. This principle applies to the functioning of a radio, where the energy is conserved throughout the process.

When a radio receives a signal, it converts the electromagnetic wave energy into an electrical signal using an antenna. The electrical signal is then amplified and demodulated to extract the original audio signal. The audio signal is then amplified again and played through a speaker, where the electrical energy is converted into sound energy. The energy that was originally present in the electromagnetic wave is conserved throughout this process and is not lost.

Similarly, when a radio broadcasts a signal, the audio signal is first converted into an electrical signal, which is then amplified and used to modulate an RF carrier wave. The modulated RF wave is then transmitted through an antenna as electromagnetic waves. The electrical energy from the audio signal is conserved and transformed into electromagnetic energy in the transmitted signal.

In both cases, the energy conservation principle is applied, and the energy is conserved throughout the process. Therefore, the functioning of a radio obeys the energy conservation principle.

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You have a cart that has a mass of 400 kg and a KE of 500 J, you remove some of the things on the cart to make it lighter. If it is moving at the same speed as before, and the KE is now 125 J, what is the new mass?

kinetic energy : the energy which a body possesses by the virtue of motion

velocity : it is the rate at which a body covers displacement.

The mass of the cart given initially is : 400kg

The kinetic energy given initially is : 500J

now we know the kinetic energy formula : KE = \(\frac{1}{2}mv^{2}\)

in the first case lets apply this formula and get the velocity first.

500 = (1/2)x(400)x\(v^{2}\)

500x2 = 400x\(v^{2}\)

\(v^{2}\) = 1000/400

\(v^{2}\) = 10/4

therefore \(v^{2}\) = 10/4 \(m^{2}/s^{2}\)

now that we found the velocity of the body, lets use this to find the new mass.

now in the second case, we have
new kinetic energy : 125J

let the new mass be m.

lets substitute the given info in the formula , we get

125 = (1/2)x(m)x\(v^{2}\)

but we know \(v^{2}\) = 10/4

so we have,

125 = (1/2)x(m)x(10/4)

125x2 = (10m/4)

150x4 = 10m

60=m

therefore the new mass of the body is 60kg

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Answer:

Explanation:

acceleration is the change in velocity of a body with respect to time

a = v-u/t

v is the final velocity

u is the initial velocity = 10m/s

t is the time taken = 10s

a is the acceleration = 2m/s²

substitute the values into the formula

2 = v-10/10

cross multiply

20 = v-10

v = 20+10

v = 30m/s

Hence the velocity of the body after 10s is 30m/s

Answer:

The observer will say that galaxy 2 is moving away from galaxy 3 where he stands.

Explanation:

Since the galaxies are expanding, each one would move away from the others. Observers on all three galaxies have their frame of reference fixed on their own galaxies. Judging from their own galaxies, each observer will perceive the other galaxies moving away from his/or galaxy.

The observer at galaxy 3 will talk about galaxy 2 by doing is; he will say that galaxy 2 is moving far from him.

We are told that the universe is expanding and as such, the galaxies would be expanding and moving away from each other.

Since the galaxies are expanding, it means that they will be moving away from each other.

From time dilation principle, an observer at galaxy 3 will say that galaxy 2 is moving far from him.

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For an 85 kg man walking on a treadmill at a speed of 2.8 mph with a 6% grade, we can calculate both the relative and absolute VO2 values. Similarly, for a 65 kg woman running on a treadmill at a speed of 6.0 mph with a 2% grade.

1. For an 85 kg man walking on a treadmill at a speed of 2.8 mph with a 6% grade:

Relative VO2:

\(\[\text{{VO}}2_{\text{{relative}}} = 3.5 + 0.1 \times \text{{speed}} + 1.8 \times \text{{speed}} \times \text{{grade}}\]\[\text{{VO}}2_{\text{{relative}}} = 3.5 + 0.1 \times 2.8 + 1.8 \times 2.8 \times 0.06\]\[\text{{VO}}2_{\text{{relative}}} \approx 7.33 \, \text{{ml/kg/min}}\]\)

Absolute VO2:

\(\[\text{{VO}}2_{\text{{absolute}}} = \text{{VO}}2_{\text{{relative}}} \times \text{{body weight}}\]\[\text{{VO}}2_{\text{{absolute}}} = 7.33 \times 85\]\[\text{{VO}}2_{\text{{absolute}}} \approx 622.05 \, \text{{ml/min}}\)

2. For a 65 kg woman running on a treadmill at a speed of 6.0 mph with a 2% grade:

Relative VO2:

\(\[\text{{VO}}2_{\text{{relative}}} = 3.5 + 0.1 \times \text{{speed}} + 1.8 \times \text{{speed}} \times \text{{grade}}\]\[\text{{VO}}2_{\text{{relative}}} = 3.5 + 0.1 \times 6.0 + 1.8 \times 6.0 \times 0.02\]\[\text{{VO}}2_{\text{{relative}}} \approx 12.37 \, \text{{ml/kg/min}}\]\)

Absolute VO2:

\(\[\text{{VO}}2_{\text{{absolute}}} = \text{{VO}}2_{\text{{relative}}} \times \text{{body weight}}\]\[\text{{VO}}2_{\text{{absolute}}} = 12.37 \times 65\]\[\text{{VO}}2_{\text{{absolute}}} \approx 803.05 \, \text{{ml/min}}\]\)

These calculations provide the values for both the relative and absolute VO2 for the given scenarios. The relative VO2 is expressed in milliliters per kilogram per minute (ml/kg/min), and the absolute VO2 is given in milliliters per minute (ml/min).

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Answer:

31.6

Explanation:

velocity÷ time

212 ÷ 6.7 = 31.6m/s

Answer:

Topaz

Explanation:

It's harder than garnet and comes in various colors

Answer:

garnet

Explanation:

False. The strong force, also known as the strong nuclear force, is responsible for binding protons and neutrons together in the nucleus of an atom.

It is one of the four fundamental forces of nature, alongside electromagnetism, weak nuclear force, and gravity. However, the strong force does not produce most of the mass of an object. The mass of an object comes mainly from the energy of the interactions between its subatomic particles, such as quarks and gluons, which are constituents of protons and neutrons.The equation you are referring to is E=mc², which is part of Einstein's theory of special relativity. In this equation, E represents energy, m represents mass, and c represents the speed of light in a vacuum. The equation demonstrates the relationship between energy and mass, showing that they are interchangeable and that a small amount of mass can be converted into a significant amount of energy.In summary, the statement is false because the strong force is involved in binding protons and neutrons in the nucleus, but it does not produce most of the mass of an object. The mass of an object is primarily derived from the energy of interactions between its subatomic particles, which is related to the speed of light squared in the equation E=mc².

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Answer:

Explanation:

right

Answer:

125 J

Explanation:

Work done = force * distance

work = 25 * 5

work = 125 J

Available options are:

A. –4500 N

B. –2500 N

C. 2500 N

D. 4500 N

Answer:

-4500 N

Explanation:

Given that we have F₁ = 3000N? (force of the barge)

the force of the tugboat is F '

To pull the barge, the force of the tugboat must be greater than or equal to the force of the barge.

Hence, according to Newton's third law which states that for every action or force in nature, there is an opposite reaction.

Therefore considering the available option the correct answer is "- 4500N, " this is because it is greater than the force of the barge and it's in opposition to the force exerted.

Answer:

The answer is -4500 N

Explanation:

The force on the proton in the same field moving with velocity →v = -vi(i) is 2.4 x 10^-17 Newtons.

The force on a proton in an electric field can be determined using the equation F = qE, where F is the force, q is the charge of the proton, and E is the electric field.

In this case, the electric field is not explicitly given, but we can assume it is the same as in the previous question where the magnitude of the electric field is 150 N/C. Therefore, we can assume that E = 150 N/C.

The charge of a proton is q = 1.6 x 10^-19 C.

To calculate the force on the proton, we can substitute these values into the equation:

F = (1.6 x 10^-19 C) * (150 N/C)

Multiplying these values together gives us:
F = 2.4 x 10^-17 N

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The molecular field for bend distortion is h_bend = -K_bend ∇² n and the molecular field for twist distortion is h_twist = -K_twist ∇² n + K_twist q₀ (∇ × n).

In the case of bend distortion, the director (the preferred orientation of the liquid crystal molecules) deviates from the local normal direction. The bend energy density is given by:

E_bend = (K_bend/2) × (∇ · n)²

where K_bend is the bend elastic constant and ∇ · n represents the divergence of the director field.

To determine the molecular field h associated with the bend distortion, we can take the functional derivative of the bend energy with respect to the director field n:

h_bend = δE_bend/δn

Using the Euler-Lagrange equation, this can be written as:

h_bend = -K_bend ∇² n

So, the molecular field for bend distortion is h_bend = -K_bend ∇² n.

Twist distortion:

In the case of twist distortion, the director rotates in a helical manner. The twist energy density is given by:

E_twist = (K_twist/2) × (∇ × n - q₀)²

where K_twist is the twist elastic constant and q₀ represents the pitch of the helix.

Similarly, to determine the molecular field h associated with the twist distortion, we take the functional derivative of the twist energy with respect to the director field n:

h_twist = δE_twist/δn

Using the Euler-Lagrange equation, this can be written as:

h_twist = -K_twist ∇² n + K_twist q₀ (∇ × n)

So, the molecular field for twist distortion is h_twist = -K_twist ∇² n + K_twist q₀ (∇ × n).

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If the core of a star remaining after a supernova explosion has a mass between 1.4 and 3 solar masses, it collapses to form a neutron star. A neutron star is an incredibly dense object, with a mass greater than that of the sun, but a radius of only a few kilometers. It is composed almost entirely of neutrons, which are densely packed together.

The gravitational force on a neutron star is so strong that even light cannot escape, making it one of the most extreme objects in the universe.


If the core of a star remaining after a supernova explosion has a mass between 1.4 and 3 solar masses, it collapses to form a neutron star. A neutron star is a celestial object composed primarily of neutrons, which are subatomic particles found in atomic nuclei. When a star undergoes a supernova, the core contracts due to gravitational forces.

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The maximum potential difference between the disks is 6.25 V when they are separated by a distance of 0.010 m and connected to a 12-V battery.

When two disks of radius 0.10 m are separated by a distance of 0.010 m and are connected to a 12-V battery, the maximum possible voltage between the disks is given by Vmax = (Qmax / (2 * ε0 * A)) * d where Vmax is the maximum possible voltage between the disks

Qmax is the maximum possible charge on the disksε0 is the permittivity of free space

A is the area of the disks d is the distance between the disks.

Substituting the given values, we have

\(A = \pi$ * r^{2} = \pi$ * 0.10^{2} = 0.0314 m^{2} \epsilon0 = 8.85 \times 10^{-12} F/m\) and d = 0.010 m

Thus, we get, \(Qmax = CV = (A * \epsilon0 * Vmax) / d= (0.0314 * 8.85 \times 10^{-12} * 12) / 0.010= 3.51 \times 10^{-12} C\)

The maximum potential difference between the disks is given by,

\(Vmax = (Qmax / (2 * \epsilon0 * A)) * d= (3.51 \times 10^{-12} / (2 * 8.85 \times 10^{-12} * 0.0314)) * 0.010\approx 6.25 V\)

Therefore, the maximum potential difference between the disks is 6.25 V when they are separated by a distance of 0.010 m and connected to a 12-V battery.

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The pressure exerted by the concrete cylinder is 2.60 pound/in².

We need to know about the pressure to solve this problem. Pressure is a unit that describes how much force is applied to a surface area. It can be determined as

P = F / A

where P is pressure, F is force and A is area.

From the question above, we know that

F = 375 pound

A = 144 in²

By substituting the given parameters, we can calculate the pressure

P = F / A

P = 375 / 144

P = 2.60 pound/in²

Thus, the pressure should be 2.60 pound/in².

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Answer:

5kg

Explanation:

p = mv

m = p/v

m = 35/7

m = 5kg

Answer:

5 kilograms

Explanation:

Mass can be found using the following formula.

\(m=\frac{p}{v}\)

where p is the momentum and v is the velocity.

The object has a momentum of 35 kg m/s and a velocity of 7 m/s. Therefore,

p= 35 kg m/s

v= 7 m/s

Substitute these values into the formula.

\(m= \frac{35 kg- m/s}{ 7 m/s}\)

Divide 35 kg m/s  by 7 m/s. (35/7=5)

The m/s in the numerator and denominator cancel each other out.

\(m= 5 kg\)

The mass of the object is 5 kilograms.

The extra cost of fuel for driving 83 mph instead of 73 mph is $3.7671.

The speed of your automobile has a huge effect on fuel consumption. Traveling at 65 miles per hour (mph) instead of 55mph can consume almost 20% more fuel. As a general rule, for every mile per hour over 55 , you lose 2% in fuel economy.

If you take a 400-mile trip and your average speed is 83mph rather than the posted speed limit of 73mph, then the extra cost of the fuel is calculated as:

* **Fuel consumption at 83 mph:** 30 mpg * (1 - 2% * (83 - 55)) = 27.6 mpg

* **Fuel consumption at 73 mph:** 30 mpg * (1 - 2% * (73 - 55)) = 29 mpg

* **Extra fuel used:** 400 miles / 27.6 mpg - 400 miles / 29 mpg = 2.4 gallons

* **Extra cost of fuel:** $3.26/gallon * 2.4 gallons = $3.7671

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The potential difference across the capacitor is 5 × 10∧4 volts and the energy stored in it is 1. 25 Joules

The energy stored in a capacitor is an electrostatic potential energy.

It is related to the charge(Q) and voltage (V) between the capacitor plates.

It is represented as 'U'.

Formula:

Potential difference, V is the ratio of the charge to the capacitance of a capacitor.

It is calculated using:

V = Q ÷ C

Where Q = charge 5 × 10∧-5C and C = capacitance 10∧-9

Substitute the values into the equation

Potential difference, V = 5 × 10∧-5 ÷  10∧-9 = 5 × 10∧4 volts

Formula:

Energy, U = 1 ÷ 2 (QV)

Where Q= charge and V = potential difference across the capacitor

Energy, U = 1 ÷ 2 ( 5 × 10∧-5 × 5 × 10∧4)

= 0.5 × 25 × 10∧-1

= 0.5 × 2.5

= 1. 25 Joules

Therefore, the potential difference across the capacitor is 5 × 10∧4 volts and the energy stored in it is 1. 25 Joules

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When a student squeezes an unopened plastic bottle filled with carbonated soft drink, the bubbles clinging to the inside of the bottle are expected to shrink, and some may vanish. Option A is correct.

The carbonated soft drink contains dissolved carbon dioxide gas, which is responsible for the formation of bubbles. When the bottle is unopened, the carbon dioxide is in equilibrium with the liquid, and some of it is present as gas bubbles adhering to the inner surface of the bottle.

When the student squeezes the bottle, the pressure inside increases. As a result, the dissolved carbon dioxide gas in the liquid becomes more soluble, causing the bubbles to shrink in size. Additionally, the increased pressure may cause some of the bubbles to merge or burst, leading to the disappearance of some bubbles.

Therefore, the predicted observation is that the bubbles will shrink, and some may vanish when the student squeezes the bottle. This is due to the increased solubility of carbon dioxide gas under higher pressure, causing the bubbles carbonated soft drink to decrease in size or dissolve back into the liquid.

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Answer:

heat engine

Explanation: