A child and sled with combined mass m1​ begin to slide from rest at the top of an icy frictionless hill of height H. At the bottom of the hill the sled collides with a snowman of mass m2​ that falls onto the sled. What will be the final speed of the combined child, sled, and snowman system?

The tension connecting both boxes in terms of T1 can be explained as follows:Tension, T is defined as the force experienced by a string, rope, cable or wire, etc., when pulled from either end. For instance, if the string is connected to two boxes with masses m1 and m2 on a frictionless surface, the force acting on the string would be the tension, T.

Here, the string would connect both boxes, thus the tension, T, in the string would be the same for both boxes.If the two boxes are accelerating uniformly, then the tension, T1 acting on the smaller box m1 would be equal to the force that is causing its acceleration.

From the above equations, the tension, T1 can be determined as shown below:T1= m1a+m1g= (m1/2)g+m1g= (3m1/2)g, Therefore, Tension connecting both boxes, T= T1= (3m1/2)g.The above equation shows the tension connecting both boxes in terms of T1.

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A lunar eclipse is an astronomical event where the Earth's shadow is cast onto the moon.

During a lunar eclipse, observers on the Earth would see the moon becoming dimmer and turning a reddish color, while observers on the moon would witness the Earth casting a shadow onto its surface.

The Earth is between the moon and the sun during a lunar eclipse, blocking the direct sunlight that normally illuminates the moon. This causes the moon to become dimmer and take on a reddish hue as indirect sunlight is refracted off of the Earth's atmosphere.

On the moon, observers would be able to see the Earth's shadow slowly moving across its surface. As the Earth's shadow covers the moon, the entire lunar surface will become darkened and take on a reddish hue. This is because indirect sunlight from the sun is refracted off of the Earth's atmosphere, providing a soft, red illumination to the moon's surface.

During a lunar eclipse, therefore, observers on the Earth and on the moon will witness the same kind of astronomical event.

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When electrons are emitted from the cathode, they can have zero velocity, one velocity, or a range of velocities depending on the conditions under which they are emitted.

For example, in a vacuum tube, electrons are emitted from the cathode due to thermionic emission and they typically have a range of velocities.

However, in a photoelectric effect experiment, electrons are emitted from the cathode due to the absorption of photons and they typically have a well-defined velocity determined by the energy of the incident photons.

Similarly, in a field emission experiment, electrons are emitted from the cathode due to a high electric field and they typically have a high velocity.

Therefore, the velocity of the electrons emitted from the cathode depends on the mechanism of emission and the conditions under which they are emitted.

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Answer:

4.2 m/s2

Explanation:

By using Newton's second law, the cart's acceleration is 4.2 m/\(s^{2}\)

Given that a spring scale is used to exert a net force of 2.7 N on a cart.

If the cart's mass is 0.64 kg, then, we can use Newton's second law to solve the question.

F = ma

Force F = 2.7 N

Mass m = 0.64 kg

Acceleration a = ?

Substitute all the parameters into the formula

2.7 = 0.64a

a = 2.7/0.64

a = 4.2 m/\(s^{2}\)

Therefore, the cart's acceleration is 4.2 m/\(s^{2}\)

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Answer:

A.

Explanation:

Because you are working in the buisnes, you can make a good impression by paying the exact amount or more in taxes.

Answer:

Explanation:

The distance will be the total distannce covered during the journey.

If you move 3 meters East and move 4 meters north, then the distance will be calculated as;

Distance = distnace through East+distance through north

Distance = 3m + 4m

Distance = 7m

Displacement is the distance covered in a specified direction. It is the shortest distance covered by me. This can be gotten using the Pythagoras theorem.

d² = 3²+4²

d² = 9+16

d² = 25

d = √25

d = 5m

Hence the displacement of the object is 5metres

Explanation:

VT= 10 v

IT = V/R = 10/5= 2 A

RT= 5 ohm

PT = 20w

\( {i}^{2} \times r = {2}^{2} \times 5 = 20watts\)

a) The configuration factor between the inside of the sphere and itself is 1.

b) The configuration factor between the inside of the sphere and the inside of the bottom of the cylindrical shell is 2304.

To determine the configuration factors, we need to calculate the areas of the surfaces involved. Let's go through each part step by step:

a) Configuration factor between the inside of the sphere and itself:

The configuration factor between two surfaces represents the fraction of radiation leaving one surface that is intercepted by the other surface. When considering the inside of the sphere, we can assume it is a blackbody, radiating equally in all directions.

The configuration factor between the inside of the sphere and itself is denoted as F11. For a closed right circular cylindrical shell located at the center of a sphere, the configuration factor can be calculated using the formula:

F11 = (A1/A2) * (cosθ1/cosθ2),

where A1 is the area of the first surface, A2 is the area of the second surface, θ1 is the angle between the normal to the first surface and the line connecting the centers of the surfaces, and θ2 is the angle between the normal to the second surface and the line connecting the centers of the surfaces.

In this case, the inside of the sphere is a complete sphere, so A1 = A2 = 4πr^2, where r is the radius of the sphere (12 m). Since the cylindrical shell is located at the center of the sphere, θ1 = θ2 = 0 degrees.

Plugging these values into the formula, we have:

F11 = (4πr^2 / 4πr^2) * (cos(0) / cos(0))

F11 = 1.

Therefore, the configuration factor between the inside of the sphere and itself is 1.

b) Configuration factor between the inside of the sphere and the inside of the bottom of the cylindrical shell:

Now, if the top of the cylindrical shell is removed, we consider the inside surface of the bottom of the cylindrical shell. Let's denote this as surface A3.

The configuration factor between the inside of the sphere and the inside of the bottom of the cylindrical shell is denoted as F13. Using the same formula as before:

F13 = (A1/A3) * (cosθ1/cosθ3).

In this case, A1 = 4πr^2 (as before), and A3 is the area of the inside surface of the bottom of the cylindrical shell. The bottom of the cylindrical shell is a circular area with a diameter of 1 m, so A3 = π(0.5)^2 = π/4.

Again, since the cylindrical shell is located at the center of the sphere, θ1 = 0 degrees. As for θ3, it is the angle between the normal to the inside surface of the bottom of the cylindrical shell and the line connecting the centers of the sphere and the cylindrical shell. Since the cylindrical shell is at the center of the sphere, θ3 = 0 degrees as well.

Plugging in these values, we have:

F13 = (4πr^2 / (π/4)) * (cos(0) / cos(0))

F13 = 16r^2.

Given that r = 12 m, we can calculate F13:

F13 = 16(12)^2

F13 = 16 * 144

F13 = 2304.

Therefore, the configuration factor between the inside of the sphere and the inside of the bottom of the cylindrical shell is 2304.

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The values of load resistance that will the voltage source appear stiff is 1 ohm or larger

A voltage source is said to be "stiff" if its output voltage does not vary much with changes in the load resistance. In other words, the output voltage remains relatively constant even if the load resistance changes.

To determine the values of load resistance for which the voltage source appears stiff, we can use the following formula:

Vout = Voc × Rload / (Rload + Rint)

where Vout is the output voltage, Voc is the open circuit voltage (the voltage across the terminals when there is no load), Rload is the load resistance, and Rint is the internal resistance of the voltage source.

If we want the voltage source to appear stiff, we want the output voltage to remain relatively constant as the load resistance changes. This means that the denominator of the above formula (Rload + Rint) should be much larger than the numerator (Rload). In other words, Rint should be much smaller than Rload.

In this case, the internal resistance Rint is 0.1 ohms. So, for the voltage source to appear stiff, we want the load resistance Rload to be much larger than 0.1 ohms.

One way to quantify "much larger" is to use a rule of thumb that Rload should be at least 10 times larger than Rint. So, in this case, we want:

Rload >= 10 × Rint

Rload >= 1 ohm

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d = 10 m

Explanation:

Work = force × distance

or

distance = work/force

= (240 J)/(24 N)

= 10 m

Answer:

B i think is the answer

Explanation:

i feel like it is B because if you put them together and the answer is 1.5 so it is B

The average speed of the student for his entire walk is equal to 1.5 m/s. Therefore, option (b) is correct.

The average speed of a body is calculated as the total distance traveled in a fixed interval of time. The average speed can be determined by dividing the total distance traveled by a body by the total time.

The average velocity is a single value if the object moves uniformly. Speed is a scalar quantity, it has no specified direction. The average speed has the S.I. unit the same as velocity i.e. m/s.

Given the distance covered by a student in first 80 sec = 100m

After stooping for 30sec again cover a distance of 200m in 90sec.

The total distance traveled by the student = 100 + 200 = 300m

The time taken by student to cover distance =  80 + 30 +90 = 200 sec

The average speed of the student = total distance/ total time taken

                                                         = 300/200 = 1.5 m/s

Therefore, the average speed of the student is equal to 1.5m/s.

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Answer:

The amount of heat energy received at any location on the globe is a direct effect of Sun angle on climate, as the angle at which sunlight strikes Earth varies by location, time of day, and season due to Earth's orbit around the Sun and Earth's rotation around its tilted axis.

Answer:

The earth's climate system depends entirely on the sun for its energy. Solar radiation warms the atmosphere and is fundamental to atmospheric composition.

Explanation:

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The net force acting on the falling object is 15.6 N (Fnet = 15.6 N), and its acceleration is 7.8 m/s².

The net force (Fnet) acting on a falling object can be calculated by subtracting the resistance force (Fres) from the weight force (Fweight). The weight force is equal to the product of the object's mass (m) and acceleration due to gravity (g = 9.8 m/s²). Once the net force is determined, we can calculate the object's acceleration (a) using Newton's second law of motion, which states that the net force acting on an object is equal to the product of its mass and acceleration.

1. Weight force (Fweight) = mass (m) * acceleration due to gravity (g) = 2 kg * 9.8 m/s² = 19.6 N

2. Net force (Fnet) = Weight force (Fweight) - Resistance force (Fres) = 19.6 N - 4 N = 15.6 N

Therefore, the net force acting on the falling object is 15.6 N (Fnet = 15.6 N).

3. Using Newton's second law of motion: Fnet = m * a

  Rearranging the equation to solve for acceleration: a = Fnet / m

  Acceleration (a) = 15.6 N / 2 kg = 7.8 m/s²

Hence, the acceleration of the falling object is 7.8 m/s².

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Coal is extracted from mountain top by removal of top soil and the use of explosives.

A coal is definitely as the solid substance that is made up of mainly carbon and other constituent elements such as hydrogen, sulfur, oxygen, and nitrogen.

The uses of coal include the following:

To extract coal from the mountain top the following is carried out:

The top soil of the area involved us being removed and

Explosives are then used to expose the underlying coal seams.

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The answer is D. distance between trough and crest. Wavelength is the distance between two consecutive points of the same phase on a wave, such as two adjacent crests, troughs, or zero crossings.

Wavelength is the distance between two consecutive points of the same phase on a wave, such as two adjacent crests, troughs, or zero crossings. So the answer is the distance between the trough and crest.

The other options are incorrect. Option A is the length of time the wave has been in motion, which is not the same as wavelength. Option B is the distance between the trough and the trough, which is half of the wavelength. Option C is the distance between the quiet water level and the crest, which is not a physical measurement of the wave.

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To calculate the resistance of the computer, we can use Ohm's law:

V = IR

where V is the voltage, I is the current, and R is the resistance.

In this case, the voltage is 110V and the current is 3.5A. Substituting these values into the equation gives:

110V = 3.5A * R

Solving for R, we get:

R = 110V / 3.5A

R ≈ 31.43 Ω

Therefore, the resistance of the computer is approximately 31.43 ohms (Ω).

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Answer: Hello!

The greater the density of a medium, the slower the speed of sound. This observation is analogous to the fact that the frequency of a simple harmonic motion is inversely proportional to m, the mass of the oscillating object. The speed of sound in air is low, because air is easily compressible.

Explanation:

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The three examples of situations in which mass is the main factor determining an object's momentum are, a moving truck, a moving trailer and a rolling block.

P = mv

where;

The three examples of situations in which mass is the main factor determining an object's momentum is below;

The three examples given above shows three objects with heavy mass.

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The chemical energy of petrol is converted to heat energy on combustion. The heat energy is converted to kinetic energy by the use of internal combustion engines in vehicles. The law of conservation of energy is maintained in each process.

The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as

K.E = 1/2 mv²

Given is a diagram of energy conversion due to combustion.

The chemical energy of petrol is converted to heat energy on combustion. The heat energy is converted to kinetic energy by the use of internal combustion engines in vehicles.

The law of conservation of energy states that the energy can neither be created nor destroyed. It can be only converted to one form to the other.

In the given process, the mass decreases but energy remains the same in all forms of energy.

Hence, the law of conservation of energy is maintained in each process

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Given the following information:Mass of the system, m = 20 kg.Damping coefficient, b = 6 Ns/m.Force, F = 90 N.Frequency of applied force, f = ?Applied force angular frequency, w = 6 rad/s.Forced vibration equation:F(t) = F0 sin(wt)where F0 = 90 N and w = 6 rad/s.Under the action of the force F, the mass m will oscillate.The equation of motion for the mass-spring-damper system is given by:$$\mathrm{m\frac{d^{2}x}{dt^{2}}} + \mathrm{b\frac{dx}{dt}} + \mathrm{kx = F_{0}sin(\omega t)}$$where k is the spring constant.x(0) = 0 and x'(0) = 0.As we have the damping coefficient (b), we can calculate the damping ratio (ζ) and natural frequency (ωn) of the system.Damping ratio:$$\mathrm{\zeta = \frac{b}{2\sqrt{km}}}$$where k is the spring constant and m is the mass of the system.Natural frequency:$$\mathrm{\omega_{n} = \sqrt{\frac{k}{m}}}$$where k is the spring constant and m is the mass of the system.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$At resonance, the amplitude of the system will be maximum when forced by a sinusoidal force of frequency equal to the resonant frequency.Resonant frequency:$$\mathrm{\omega_{d} = \sqrt{\omega_{n}^{2}-\zeta^{2}\omega_{n}^{2}}}$$$$\mathrm{\omega_{d} = \sqrt{(6.57)^{2}-(-2.88)^{2}} = 6.98 rad/s}$$Hence, the frequency of applied force at which resonance will occur is 6.98 rad/s.

The frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.

To determine the frequency of the applied force at which resonance will occur, resonance happens when the frequency of the applied force matches the natural frequency of the system. The natural frequency can be determined using the formula:

ωn = √(K / M),

where ωn is the natural frequency, K is the spring constant, and M is the mass of the system.

Substituting the given values of K = 400 N/m and M = 20 kg into the equation, we can calculate the natural frequency ωn.

ωn = √(400 N/m / 20 kg) = √(20 rad/s²) = 2√5 rad/s.

Therefore, the frequency of the applied force at which resonance will occur is ω = 2√5 rad/s.

The correct question is given as,

M= 20kg

Fo = 90 N

ω = 6 rad/s

K = 400 N/m

C = 125 Ns/m

Determine the frequency of applied force at which resonance will occur?

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The electromagnet used in a junkyard can be improved by increasing the amount of current running through its coil.

A greater magnetic field will result from this, making it possible to lift bigger things like trucks and other huge vehicles.

The electromagnet can be made more potent by enlarging the coils and using core steel that is of higher grade.

The electromagnet's form can also be changed to increase lifting capacity. For instance, increasing the lifting area and making it simpler to raise huge cars can be accomplished by adopting a curved coil design.

The electromagnet can become more strong and adequate for lifting trucks and other heavy vehicles thanks to all these upgrades.

Complete Questions:

An electromagnet used in a junkyard can only pick up cars. How could the electromagnet be improved so that it could lift trucks and other large vehicles?

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The forest gives the characters an intellectual relaxation and an escape from the falsehood of the sector.

Forests are complex ecological machines in which wood is the dominant organism. Forests are nature's most pristine environments, with an overburden of photosynthesis that affects all plant and animal systems in a complex chain of plant relationships. , provides water, food and fuel security. Many of these sporting activities may or may not directly involve forests. Some are clearly recognizable, such as earnings, paper, and wood from trees.

It purifies the air we breathe, purifies the water we drink, prevents erosion and acts as an important buffer against climate change. Forests are home to many of the world's plants and animals, providing important botanical properties ranging fromwood and food to medicinal plants.

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Answer:

Would it be starting point?

Explanation:

When you start a sport or something, you may not be good or bad at it. However, as time goes on you are going to improve.

Idk if this helps or not buh yeah

Answer:

When covalent compounds dissolve in water, they break apart into molecules, but not individual atoms. Water is a polar solvent, but covalent compounds are usually nonpolar. This means covalent compounds typically don't dissolve in water, instead, it makes a separate layer on the water's surface.

Explanation:

I don't understand the second part but hope this helps.

Answer:

the electrostatic force between the two protons is 5.775 x 10⁻²⁹ N.

Explanation:

Given;

charge of protons, q = 1.602 x 10⁻¹⁹ C

distance between the two charges, r = 2.0 m

The electrostatic force between the two protons is calculated as;

\(F = \frac{kq^2}{r^2}\)

where;

k is coulomb's constant, = 9 x 10⁹ Nm²/C²

\(F = \frac{(9\times 10^9)(1.602 \times 10^{-19})^2}{(2)^2} \\\\F = 5.775 \times 10^{-29} \ N\)

Therefore, the electrostatic force between the two protons is 5.775 x 10⁻²⁹ N.

The force between the two protons separated by the distance of 2 m will be \(F=5.775\times 10^{-29}\ N\)

The coulomb's force is defined as when two charged particles are separated by the distance r and having charge q then the force will be directly proportional to the product of the charges and inverse to the distance between them.

The coulomb's force will be given by

\(F=\dfrac{kq_1q_2}{r^2}\)

Here it is given that

Charge on the proton=\(q=1.602\times 10^{-19}\ C\)

The distance between protons = 2 m

The value of constant  \(k=9\times 10^{-29}\ \dfrac{Nm^2}{C^2}\)

Putting the values in the formula

\(F=\dfrac{(9\times 10^9) (1.602\timeds 10^{-19}^)^2}{2^2}\)

\(F=5.775\times 10^{-29}\ N\)

Hence the force between the two protons separated by the distance of 2 m will be \(F=5.775\times 10^{-29}\ N\)

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Answer:

Explanation:

1, i, π, e, and φ

dozen, gross, googol, and Avogadro's number etc, are pure numbers

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In a typical cluster of galaxies, there can be hundreds to thousands of galaxies. Clusters of galaxies are large-scale structures that consist of multiple galaxies gravitationally bound together.

The exact number of galaxies in a cluster can vary widely depending on the size and density of the cluster. Some smaller clusters may contain a few hundred galaxies, while larger and more massive clusters can contain thousands of galaxies.

These galaxies within a cluster are held together by their mutual gravitational attraction and are typically spread out over a relatively large volume of space. They can vary in size, shape, and brightness, ranging from massive elliptical galaxies to smaller spiral galaxies and irregular galaxies.

It's important to note that galaxy clusters are dynamic and evolve over time through mergers and interactions, which can impact the number and arrangement of galaxies within them. Therefore, the exact count of galaxies in a given cluster may vary, but typically, a typical cluster of galaxies can contain hundreds to thousands of galaxies.

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the radius of the plane's path should be 1612.24 m.

Velocity of the plane = 400 mph

Gravity = 9.8 m/s2

In 0.1g, the acceleration is 0.98 m/s2

Centripetal acceleration= Velocity2/Radius

0.98 = (400)2/Radius

Radius = 4002/0.98 = 1612.24m

the radius of the plane's path should be 1612.24 m.

What is radius?

Radius is a measure of distance from the center of a circle or sphere to its circumference or surface. It is equal to half the diameter of a circle or sphere. It is also the length of a line segment connecting the center of a circle to any point on its circumference. Radius is used to calculate the area and circumference of a circle or sphere. It is also used to calculate the volume of a sphere.

Therefore, the radius of the plane's path should be 1612.24 m.

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