A ball of mass 0.440 kg moving with a speed of 3.70 [m / s] collides head-on with a 0.220 [kg] ball at rest. If the 0.440 [kg] ball moves at 1.23 [m / s] in its original direction, what is the speed of the 0.220 [kg] ball after the collision?

Energy is conserved as the block slides down because kinetic energy is converted to heat energy.

We are looking at the principle of the conservation of energy. We know that the principle of the conservation of energy states that energy can neither be created nor destroyed but it can be converted from one form to another.

Now we know that the energy of the block would remain constant. Given the fact that energy is not created or destroyed, we can see that as the block is sliding down, the block would be loosing energy thus it would become slower. This is because of the fact that friction is working against the movement of the block and the energy that is lost is converted to heat.

Thus we can say that the energy is converted to heat as the the block is slowing down thus energy is conserved.

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Answer:

Runner B

Explanation:

its just displacement over change in time

Answer:

C. Style

Explanation:

Because if your letters are slanted, it's not mechanical, is it? Neither is it emotional, since that's just not right. As for physical, how is your letters being slanted physical? Therefore, the best answer would be C. Style.

Answer:

F1 = ma = 5.5 kg * 10 m/s² = 55 N  (force acts downwards)

F2 = - 50 N (force acts upwards)

net force = 5 N (downwards)

F = ma

a = F/m

a = 5 / 5.5

a = 0.91 m/s²

Explanation:

Since the object is falling downwards, the air resistance acts upwards. We also have a force acting downwards since the rock experiences gravitational acceleration (the value of g above is 10 m/s² for the sake of easier calculation but you can also set it to be 9.81 m/s² which is the more accurate value). Since the air resistance and force due to gravity are acting in opposite directions and force is a vector, we have to put a minus in front of F1 or F2 (it doesn't matter which direction you chose to be the positive one) . Then we calculate the net force, aka the difference between F1 and F2. Finally, knowing the force and the mass, we can calculate the acceleration.

With shoes without slip-resistant bottoms, the coefficient of friction on ice, wet, and oily surfaces can be as low as 0.1. On brushed concrete, rubber-soled shoes can produce a coefficient of friction greater than 1.0.

The nature of both surfaces affects the coefficient of friction between two surfaces. For instance, a block of ice will have a different coefficient of friction on a surface made of copper than a block of wood will have on the same surface.

The friction coefficient is the ratio of the normal force pressing two surfaces together to the frictional force preventing motion between them. Typically, it is represented by the Greek letter mu (). In terms of math, is equal to F/N, where F stands for frictional force and N for normal force.

Motionless items frequently experience greater friction than moving ones, requiring more power to set them in motion than to keep them there. The coefficient of friction between moving and stationary objects is not always the same.

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Hello,

I hope you and your family are doing well!

To find the velocity of the dart and apple just after the dart is embedded, we can use the principle of conservation of momentum. According to this principle, the total momentum of a closed system (such as the dart and apple) is constant, meaning that the total momentum before and after an interaction (such as the dart being thrown) must be the same.

The momentum of an object is equal to its mass times its velocity, so the total momentum of the dart and apple before the dart is thrown is:

p1 = (0.6 kg)(10.8 m/s) + (1.9 kg)(0 m/s) = 6.48 kg*m/s

After the dart is thrown, the total momentum of the dart and apple is:

p2 = (0.6 kg)(v) + (1.9 kg)(v) = 2.5v kg*m/s

Since the total momentum before and after the interaction must be the same, we can set p1 equal to p2 and solve for v:

6.48 kgm/s = 2.5v kgm/s

v = 6.48 kgm/s / 2.5 kgm/s

v = 2.592 m/s

The answer is 2.592 m/s.

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Happy Holidays!

Answer: To find the velocity of the dart and apple after the dart is embedded, you can use the principle of conservation of momentum. This principle states that the total momentum of an isolated system remains constant, unless acted upon by an external force.

In this case, the dart and apple form an isolated system, so their total momentum must remain constant.

The momentum of the dart before it is embedded is given by the formula p = mv, where p is momentum, m is mass, and v is velocity. The momentum of the dart is therefore 0.6 kg * 10.8 m/s = 6.48 kg*m/s.

After the dart is embedded, the total momentum of the dart and apple is also 6.48 kg*m/s. We can find the velocity of the combined system using the same formula, p = mv. The mass of the combined system is the sum of the masses of the dart and apple, or 1.9 kg + 0.6 kg = 2.5 kg.

Substituting these values into the formula, we get:

p = mv

6.48 kg*m/s = 2.5 kg * v

v = 2.592 m/s

This is the velocity of the dart and apple after the dart is embedded.

Two metal spheres with the same charge, q, are in contact and experience an electrostatic force of magnitude F. 2.3x10 N 66.

A mass-bearing item will pull toward another mass-bearing object. The strength of the force is directly proportional to the masses of the two objects and inversely proportional to the square of their distances from one another.

Consequently, the ratio of electric to gravitational force between two electrons is 4.17 1042.

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To solve this problem, we can use the principle of conservation of momentum, which states that the total momentum of a system remains constant unless acted on by an external force. In this case, the initial momentum of the car before the collision is 3,565 kg * 27.2 m/s = 97,068 kgm/s, and the initial momentum of the truck before the collision is 0 kgm/s, since it is stationary. After the collision, the two vehicles become stuck together and move away from the point of impact with a combined mass of 3,565 kg + 3,692 kg = 7,257 kg. Since the total momentum of the system must remain constant, the combined velocity of the two vehicles after the collision must be equal to the total initial momentum of the car and truck before the collision, or 97,068 kg*m/s.

Therefore, the combined velocity of the two vehicles after the collision is 97,068 kg*m/s / 7,257 kg = 13.4 m/s. This is the speed at which the two vehicles move away from the point of impact. Note that this is a bit less than half the initial speed of the car before the collision, which is expected since the combined mass of the car and truck is greater than the mass of the car alone, and the momentum of the system must be conserved.

The work done by friction in slowing down the ball from 4 m/s to 3 m/s is 7 J.

Work is said to be done whenever a body is moved by a force through a certain distance.

To calculate the work done by friction, in slowing down the ball, we use the formula below.

Formula:

Where:

From the question,

Given:

Substitute these values into equation 1

Hence, the work done by friction is 7 J.

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Distance between two waves' crests or troughs , λ = v/k

What is distance?

Distance is the sum of an object's movements, regardless of direction. Regardless of an object's beginning or finishing position, distance may be defined as the amount of ground it has traversed.

The speed at which a wave moves with particles oscillating about their mean location is known as its way velocity.

v = kλ is the formula for calculating wave velocity.

Where f represents the wave frequency or the number of waves passing through a place in a given amount of time.

The distance between two waves' crests or troughs that follow one another = λ

therefore distance, λ = v/ki

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Answer:yes

Explanation:

Given is the diagram to show that water conducts electricity.

Water is a good conductor of electricity. The ions in the water conduct electricity because of their positive and negative charges. When the electrolytes tend to dissolve in the water, they get split into cation or positively charged and anions or negatively charged particles.

Now remove water from beaker and then repeat the steps.

You will observe that bulb doesn't glow.

This experiment confirms that water is good conductor of electricity.

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The x component of the center of mass's velocity vector cannot change since the overall momentum is conserved. Consequently, the apple's and dart's velocity is 5 m/s.

Equation 1: According to the equation of conservation of momentum, mu+m'u' = V(m+m')

Where m is the dart's mass, m' is the apple's mass, u is the dart's initial velocity, u' is the apple's initial velocity, and V is the dart and apple's subsequent velocity after becoming embedded.

Making V the equation's object,

V = (mu + m'u ) / (m + m )

Given: u = 15 m/s, u' = 0 m/s, m = 50 g = 0.05 kg, m' = 100 g = 0.1 kg ( at rest)

Replace in equation 2

V = (0.05×15+0.1×0)/(0.05+0.1)

V = 0.75/0.15

V = 5 m/s.

Consequently, the apple's and dart's velocity is 5 m/s.

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A vacuum is an area devoid of matter, also referred to as "free-space." Practically speaking, only partial vacuums are feasible.

North Americans typically refer to this electrical device as a vacuum cleaner or just a vacuum, whereas Britons typically refer to it as a hoover.

Both terms can be inflected to become verbs such as vacuumed, vacuuming, hoovered, and hoovering. A vacuum is an area devoid of matter, also referred to as "free-space."

Practically speaking, only partial vacuums are feasible. A great bagless upright vacuum, a respectable cordless vacuum, and a simple (but effective!) robot vacuum are just a few of the several vacuums we suggest; they typically cost around $150. Since the middle of the 19th century, a British person has been referred to as a "Limey" (from lime or lemon) in slang.

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Similar to a head-on shot only with cue ball on a pool table, the projectile shall come to rest and the target will go off with an equal velocity for a head-on impact with a stationary vehicle of equal mass.

It's easy to understand why. Velocity is the pace and orientation of an object's movement, whereas speed is really the time rate that an object is travelling along a path. In other words, velocity is a vector, whereas speed is just a scalar value.

The gradient of a line - of - sight graph is equal to the alteration in space divided by the difference in time. Thus, the grade of a graph of distance vs time is equal to the speed of a item whose motion is captured by the line that plots the changes in distance over time.

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Refer to the photo taken.

The statement that best identifies her speed at each second is as follows: the sky driver has the fastest speed at 4 seconds (option B).

Air resistance is the action of friction that slows something moving through air.

Air resistance is dependent on velocity, area, and shape of the object going through the air. Altitude, temperature, and humidity change air density and, consequently, its resistance.

The higher the speed and the bigger the area, the higher the resistance. As speed increases so too does the frequency of the collision of air molecules with the object. This results in an increase in air resistance.

Therefore, as the sky driver with a weight of 500N increases in air resistance, the speed also increases.

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The maximum horizontal force that can be applied to the lower block without the upper block slipping is 4.7 N.

We know that, F net = m * a

Given that, mass of the first block = 0.5 kg

Mass of the lower block = 1 kg

The coefficient of friction between the bigger block and the table is 0.2.

The two blocks have 0.35 coefficient of friction.

The force between the table and the blocks is

F k = 1.5 * 9.8 * 0.20 = 2.94 N

The force between the two blocks is

F s = 0.5 * 9.8 * 0.35 = 1.1715 N

So, the maximum horizontal force is

1.715 = Fa - 2.94

Fa = 1.715 + 2.94 = 4.655 N = 4.7 N

Thus, the maximum horizontal force that can be applied to the lower block without the upper block slipping is 4.7 N.

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The force of impact at 20 mph is two times that at 10 mph speeds.

An object can change its size or shape, begin moving, stop moving, accelerate, or decelerate as a result of a force acting on it. When two things contact, they exert pressures on one another that are identical in size but directed in the opposite direction.

The combined effect of all the forces acting on an object is known as the "resultant force," and it is the same as if only one force were to be operating on the object in that direction. To alter an object's velocity, the resulting force is necessary.

The force required for increasing speed 20 mph of an object of mass m at an interval of time t be = m×20/t.

The force required for increasing speed 10mph of an object of mass m at an interval of time t be = m×10/t.

Hence, the force of impact at 20 mph is two times that at 10 mph speeds.

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Nicolaus Copernicus constructed the heliocentric model of the solar system placing the sun at the center.

Heliocentric is the model we use today, where we all revolve around the sun. Geocentric was a model that was long ago discarded after the discovery of telescopes.

The heliocentric model opposes the geocentric model by placing the sun at the center of the solar system as opposed to the earth as it is with the geocentric model.

It is a model in which Nicolaus Copernicus believed that the sun was in the center of the solar system and other celestial bodies were revolving around this.

This was Nicolaus's unorthodox idea that he was having in his mind and constructed the model which was later supported by Galileo and was established  by Galileo that this model was correct.

Therefore, Nicolaus Copernicus constructed the heliocentric model of the solar system placing the sun at the center.

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A student walks 3 blocks south and 4 blocks west. The displacement of the student is 5 blocks SW.

Given that, the student walks 3 blocks south (AB) and then walks 4 blocks west (BC).

When we draw this on a paper, we find that we have drawn two sides of triangle. The displacement of the student would be the third side i.e, the hypotenuse of the triangle.

Applying Pythagoras theorem, we have

AB² + BC² = CA²

where, AB and BC are the two sides of the triangle

CA is the hypotenuse side of the triangle

From the above formula, CA = √(AB² + BC²)

Substituting in the formula, we have,

CA = √(3² + 4²) = √25 = 5

The hypotenuse side of the triangle is formed on the South-West side of the triangle.

Thus, the displacement is 5 blocks SW.

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These are the correct statements. 1) Most asteroids show no evidence of geological activity. 2) Most asteroids have been broken by impacts. 3) There are some asteroids found in Jupiter's orbit. 4) Kirkwood's gaps are caused by Jupiter.

Asteroids have no internal heat, so they are not geologically active.

The asteroids were formed in the early solar system from the gradual agglomeration of smaller particles. Their growth was restricted because of mutual collisions that impacted them to fragment.

The Jupiter trojans are found in the planet Jupiter's orbit.

The Kirkwood gaps are created by the orbital resonances between Jupiter and the asteroid belt. Orbital resonances is defined as the simple integer ratios of the distances between bodies in the case the overlapping gravitational forces create a pattern of strong and weak gravitational fields.

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Momentum is force * time. Momentum is also a change of momentum. that's why,

power * time

=

change in dynamics

For constant force, doubling the collision time doubles the momentum, resulting in a doubling of the momentum change.

The change in momentum is equal to the product of the change in mass and velocity. The mass remains the same because it is a constant value. It is the change in velocity that causes the change in momentum. The change in momentum is denoted by the symbol Δp.

What is the formula for momentum change?

1) The change in momentum is equal to the product of the change in mass and velocity. ⇒ΔP=m.

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Answer:

Explanation:

Momentum is force * time. Momentum is also a change of momentum. that's why,

power * time

=

change in dynamics

When the length of a simple pendulum, which oscillates with minimal amplitude, is doubled, the frequency of the oscillation stays the same.

In physics, amplitude refers to the greatest displacement or distance that a spot on a vibration or wave can move relative to its equilibrium location. It is equal to the half-length of the vibration path.

The amplitude, which is measured in metric units (m), is the largest displacement that a medium's particles can experience from their average positions during the propagation of a wave. Meters are the SI unit of displacement. So, the amplitude unit in SI is the meter.

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The acceleration of the skater is: 1.97 m/s²

Any procedure where the velocity varies is referred to as acceleration. There are only two ways to accelerate: changing your speed or changing your direction, or changing both. This is because velocity is both a speed and a direction.

Time, (t) = 10 sec

Frequency (F) = 1/t = 0.1 Hz.

Velocity, (V) = r × ω

V = 10 x (2 Π/10)

V = 6.28 m/s

Now, Centripetal acceleration,

a = v²/r

or, a = (6.28)²/20

or, a = 1.97 m/s².

Now, the acceleration of the skater is: 1.97 m/s².

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Answer:

a)

Explanation:

work done = Fscosθ

=(10)(5)(cos0⁰)

=50J

The energy of one photon of the light is 1.19 x [tex]10^{-11}[/tex] J.

What is Planck's equation?

According to this, electromagnetic radiation from heated bodies emits in discrete energy units or quanta, the size of which depends on a fundamental physical constant (Planck's constant).

We know that,

E = hν

Where,

E = Energy

h = Planck's constant

ν = Frequency

Note: Planck's constant has value of 6.63 × [tex]10^{-3}[/tex][tex]\frac{J}{s}[/tex]

Putting values in the given formula

E = 6.63 × [tex]10^{-3}[/tex] [tex]\frac{J}{s}[/tex] × 1.8 × [tex]10^{13}[/tex] [tex]s^{-1}[/tex]

E = 1.19 x [tex]10^{-11}[/tex] J.

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The entropy change of the environment is an increase in entropy. So, it must be +8 J/k or more.

The second law of thermodynamics says that any spontaneously occurring process always affects escalation in the entropy (S) of the universe. In simple words, according to this law, an isolated system's entropy never decreases over time.

The law itself mentions that the entropy of an isolated system can't decrease. This is because isolated systems spontaneously evolve towards thermodynamic equilibrium. So, the entropy of the environment will increase.

In some cases the system may be in thermodynamic equilibrium or may go through a reversible process, then the total entropy of a system and its surroundings will remains constant.

The correct answer is option (g) it must be +8J/k or more.

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The reference point at which vehicle appear to intersect the curb is 2.22km.

To ensure that every parallel park is successfully completed, it is crucial to employ a structured technique and to practice it until a level of proficiency is attained. However, contrary to popular belief, it need not be completed in a single seamless maneuver.

During the maneuver, it is acceptable to advance and make adjustments as long as you do so safely and keep an eye on your surroundings at all times.

Utilizing reference points, a structured technique is applied. Whatever method is used to parallel park, using reference points will help new drivers complete this maneuver.

You should slightly pass the car you plan to park behind. The front of this car is aligned with the center of your passenger-side front window in reference point.

[tex]Reference=\frac{\pi }{\sqrt{2} }[/tex]

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This is the magnitude of the momentum of the billiard ball is 0.6kgm/s.

The magnitude of the momentum of an object is given by the formula

where m is the mass of the object and v is its velocity. Substituting the given values, we find that

Momentum is a measure of an object's tendency to continue moving in a straight line at a constant velocity. It is defined as the product of the object's mass and its velocity. The magnitude of an object's momentum is a measure of its strength or force and is directly proportional to the object's mass and velocity.

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