when two carts with equal masses moving towards each other in an elastic collsion, which ones will have a negative velocity?

The velocity of the dodgeball is 705.6 m/s. This answer may seem extreme, but it is correct based on the assumption that no external forces acted on the system during the collision

Two items collide when they briefly come into contact with one another.

Before the collision, the momentum of the system is:

p_initial = m_child * v_child + m_dodgeball * v_dodgeball

After the collision, the momentum of the system is:

p_final = (m_child + m_dodgeball) * v_final

Since the momentum of the system is conserved, we can equate the two expressions:

m_child * v_child + m_dodgeball * v_dodgeball = (m_child + m_dodgeball) * v_final

0 + 0.25 kg * v_dodgeball = (52 kg + 0.25 kg) * 4.2 m/s\

v_dodgeball = [(52 kg + 0.25 kg) * 4.2 m/s] / 0.25 kg

v_dodgeball = 705.6 m/s

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Answer:

Substance 1 because it became a liquid faster

Explanation:

Answer:

1498962290

Explanation:

Answer:

0.645 kg

Explanation:

because 1 kg = 1000 g

so 1 g = 1/1000 kg = 0.001 kg

645 g = (645 x 0.001) kg = 0.645 kg

The rate of heat loss through a window covered with a 0.750 mm-thick layer of paper (thermal conductivity 0.0500 W/m⋅K) can be calculated using the formula:

q = kA (T1 - T2)/d

where q is the rate of heat loss, k is the thermal conductivity of paper (0.0500 W/m⋅K), A is the area of the window, T1 is the temperature inside the room, T2 is the temperature outside, and d is the thickness of paper (0.750 mm).

Assuming that the temperature inside the room is 20°C and outside temperature is 5°C, and that the area of the window is 1 m², we can calculate:

q = (0.0500 W/Mrk) × (1 m²) × (20°C - 5°C) / (0.750 mm)

q = 6.67 W

Therefore, if you cover your window with a 0.750 mm-thick layer of paper with thermal conductivity of 0.0500 W/m⋅K, you can expect to lose heat at a rate of approximately 6.67 W.

The air directly above is warmed by the ground, which is warmed by the Sun. Warm air near the surface enlarges and loses density relative to the ambient air. The lighter air expands at the reduced pressure at higher altitudes, which causes it to climb and cool. When it cools to the same temperature as the surrounding air and reaches that density, it stops rising.

A thermal is connected to a downward flow that surrounds the thermal column. At the top of the thermal, colder air is ejected, which causes the outside to move downward. The troposphere's (lower atmosphere's) characteristics have an impact on the size and power of thermals.

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Answer:

B

Explanation:

All the other ones are opinions or opinion based

The question that how many hours a day dolphins sleep requires the collection of data to answer it. Hence, option B is correct.

Dolphins are small-toothed cetaceans that are distinguished by their always open, curving mouths. Every ocean contains one of the 36 dolphin species. The majority of dolphins are marine mammals that inhabit the sea or coastal environments with brackish water. However, there are a few species that live in freshwater streams and rivers, including the South Asian river dolphin and the Amazon River dolphin, or boto.

The orca, the biggest dolphin, can reach lengths of more than 30 feet. The Maui dolphin, which is the smallest, is only five feet long.

Dolphins mostly consume fish and squid, which they can locate via echolocation, an inbuilt sonar system that reflects sound waves off prey to disclose details about its location, size, and shape. Up to a thousand clicking sounds can be heard every second from an echo locating bottlenose dolphin.

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If one rolls a bowling ball down the alley at 5 m/s, then it has a kinetic energy of 62.5 joules when rolled down the alley at 5 m/s, which is calculated by using the formula kinetic energy (KE) = (1/2) × mass × \(velocity^2\)

kinetic energy of an object is given by the formula,

Kinetic Energy (KE) = (1/2) × mass × \(velocity^2\)

 Here, given the mass of the bowling ball is 5 kilograms,

KE = (1/2) × mass × \(velocity^2\)

KE = (1/2) × 5 kg × \((5 m/s)^2\)

KE = 62.5 J

Hence,  it has a kinetic energy of 62.5 joules when rolled down the alley at 5 m/s.

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The question is incomplete, complete question is below

you roll a bowling ball down with mass 5Kg the alley at 5 m/s. How much kinetic energy does it have?

Answer:

It's 2–

Explanation:

Usually, in ionic bonds, these elements will receive 2 electrons, so its ion will carry a 2– charge

The ionic charge its ion will carry will be 2-

An element is required to have 8 electrons in its outermost shell to assume it's full octet configuration.

The statement above of course excludes Hydrogen and helium which have only 1 and 2 electrons respectively.

An element with 6 Valence electrons would require 2 electrons to assume the full octet configuration.

As such, it is liable to accept 2 electrons from an electropositive element or group of elements to complete it's octet.

Therefore, accepting 2 electrons adds 2 negative charges and consequently, the ionic form of the element carries a 2- ionic charge

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A small hot iron nail is put into a pot of cold water. The correct answer is (C) The quantity of heat lost by the iron equals the quantity of heat gained by the water.

When a hot iron nail is placed in a pot of cold water, heat transfer occurs between the iron and the water until thermal equilibrium is reached. According to the principle of conservation of energy, the total amount of heat lost by the iron must be equal to the total amount of heat gained by the water.

Heat transfer is governed by the equation Q = mcΔT, where Q represents the heat transferred, m is the mass, c is the specific heat capacity, and ΔT is the change in temperature. Since the initial temperature of the water is lower than that of the iron, heat will flow from the iron to the water.

Therefore, the decrease in iron temperature is equal to the increase in water temperature, and the quantity of heat lost by the iron is equal to the quantity of heat gained by the water. Option A and option B are not accurate in this scenario.

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Answer:

because it helps to neutralize acid in our body.

Answer:

&3?.&.)/&282/8//8338/.)9

Explanation:

The moment of inertia of the cylinder about the horizontal axis parallel and tangent to the cylinder is 3MR²/2.

The moment of inertia (Icm) of the cylinder about its symmetrical axis is calculated using the formula MR^2/2, where M represents the mass of the cylinder and R represents its radius.

To find the moment of inertia of the cylinder about the axis parallel and tangent to the cylinder, we can use the parallel axis theorem. According to the parallel axis theorem, the moment of inertia about an axis parallel to and at a distance 'd' from the axis passing through the center of mass is given by:

I = Icm + Md^2

In this case, the axis of rotation is parallel and tangent to the cylinder, so the distance 'd' from the axis passing through the center of mass is equal to the radius 'R'. Substituting the values into the equation:

I = Icm + MR^2

I = MR^2/2 + MR^2

I = (1/2 + 1)MR^2

I = (3/2)MR^2

Therefore, the moment of inertia of the cylinder about the given axis is (3/2)MR^2.

The correct answer is (D) 3MR^2/2.

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The particles or energy in a transverse wave travel up and down, perpendicular to the direction of the wave travel.

Electromagnetic waves are type of wave that do not require material medium for their propagation.

This type of waves travels in vacuum or in open medium.

Examples of electromagnetic waves include the follows;

Electromagnetic waves are known as transverse waves due to their mode of propagation.

In transverse wave, the particles of the medium travels perpendicular to their mode of vibration.

Thus, the particles or energy in a transverse wave travel up and down, perpendicular to the direction of the wave travel.

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Answer:

Covalent Bond is found between the atoms of a molecule.

The intensity of the second lamp can be calculated using the inverse square law, which states that the intensity of light decreases with the square of the distance from the source. The equation for the inverse square law is:

I2 = I1 * (d1/d2)^2

where I1 is the intensity of the first lamp, d1 is the distance from the first lamp to the screen, I2 is the intensity of the second lamp, and d2 is the distance from the second lamp to the screen.

Substituting the given values, we get:

I2 = 12.5 cd * (3.0 m/9.0 m)^2

I2 = 12.5 cd * (1/3)^2

I2 = 12.5 cd * 0.111

I2 = 1.39 cd

Therefore, the intensity of the second lamp is 1.39 cd.

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Answer:

λ=hc/E

Explanation:

E=hc/λ

Eλ=hc

λ=hc/E

Answer:

the girl is running faster because -2 is greater than -8

Explanation:

If you are moving into a wave, its frequency will appear to you to be higher, while if you are traveling in the same direction as the waves, their frequency will appear to be lower.

What is meant by frequency ?

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The dishwasher would need to transfer 480 kJ of energy for 400 seconds, or 6 minutes and 40 seconds.

Power is determined by the product of force, velocity, and distance traveled (in the force's direction). For those looking to enter the teaching profession in the state of Uttar Pradesh, this is a fantastic opportunity. Voltage and current together produce electrical power P=VXI.

time = energy / power

480 kJ = 480,000 J

time = energy / power

time = 480,000 J / 1200 W

time = 400 seconds

Hence, for the dishwasher to transfer 480 kJ of energy, it would take 400 seconds, or 6 minutes, 40 seconds.

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Carrying a load on one's head can indeed be considered as a form of work. Work, in physics, is defined as the transfer of energy from one object to another, resulting in the displacement of the second object in the direction of the applied force.

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The term "solar noon" refers to the point in the sky where the sun is at its apogee, and the number of days per year that it does so varies on the observer's position on Earth.

The equinoxes, which fall on March 20 and September 22 of each year, are when the sun is at its highest position at the equator. On these days, solar noon occurs with the sun straight overhead. Once a year, on the summer solstice, which takes place around June 20 or 21, the sun reaches its greatest position in regions north of the equator. The day with the most daylight and the highest solar angle is this one. Once the sun has reached its highest position south of the equator.

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The inductance required for an oscillator to generate 490 nm electromagnetic waves is 2.66 * 10⁻⁹ H.

An electromagnetic wave is an oscillating wave of electric and magnetic energy, travelling through space at the speed of light. It is a form of energy that is created when electric and magnetic fields vibrate in unison. Electromagnetic waves are made up of oscillating electric and magnetic fields that travel through the air and other materials.

The inductance required for an oscillator to generate 490 nm electromagnetic waves depends on the type of oscillator being used. The equation for calculating the required inductance is L = 1 / (2 * π * f * C), where L is inductance, f is frequency,
and C is capacitance.
In this case, the frequency would be f = c / λ,
where c is the speed of light and λ is the wavelength (490 nm).
Plugging in the values, we get L = 1 / (2 * π * (3 * 10⁸ / 490 * 10⁻⁹) * 19 * 10⁻¹²) = 2.66 * 10⁻⁹ H.
So, the inductance required for an oscillator to generate 490 nm electromagnetic waves is 2.66 * 10⁻⁹ H.

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Answer: B

Explanation: it is perpendicular to a surface

Answer:

it is perpendicular to a surface

Explanation:

the force of gravity acting on the Phobos will be 5.169 * 10¹² N.

Gravitational force is the attractive force exerted by the earth on all the objects in the universe. An example of gravitational force is when a ball is thrown upwards, it falls back on the ground because of gravitational force.

Given,  A natural satellite of mass 1.07*10⁶ kg orbits Mars

Since the mass of mars is  6.4 x 10^23 kg

From the general formula of gravitational force

Gravitational force = m *m'*G/ r²

In our case,

m = 1.07*10⁶ kg

m' = mass of mars =  6.4 x 10^23 kg

r = distance between the centres = 9400 km

Thus,

Gravitational force = (6.67*10⁻¹¹* 6.4 x 10²³* 1.07*10⁶)/9400²

Gravitational force = 5.169 * 10¹² N

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Answer:

90 mAmps

Explanation:

V=IR

V/R = I

9 v / 100 ohm = .09 amps = 90 mAmps

The disk's final rotation rate (in rev/s) is  2.55 rev/s.

To calculate this, we must use the angular momentum of the disk. The angular momentum of the disk before the mass dropped onto it is equal to 2.3 rev/s x (3.5 kg x (80 cm)2). After the mass drops onto the disk, the angular momentum will be equal to (3.5 kg x (80 cm)2) x (2.55 rev/s). We can calculate the change in angular momentum by subtracting the two equations. The change in angular momentum is equal to 0.06 kg x (80 cm)2 x (2.55 rev/s - 2.3 rev/s). Thus, the final rotation rate is equal to 2.55 rev/s. This is the new angular momentum divided by the mass of the disk multiplied by the radius of the disk squared.

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This statement is generally true. When an atom absorbs a photon, it is usually because the photon has the exact amount of energy needed to move an electron from a lower energy level to a higher energy level. When the electron moves to an upper orbital, the atom gains energy. This is known as an "excited state".

On the other hand, when an atom emits a photon, it is usually because an electron moves from a higher energy level to a lower energy level. When the electron moves to a lower orbital, the atom loses energy. This is known as a "relaxed state".

However, it should be noted that in some cases, an atom can emit a photon even when an electron moves to a higher energy level. This occurs when the electron moves to a higher energy level but then quickly falls back down to its original level, releasing a photon in the process. This is known as "fluorescence" and is a common process in many materials.

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The ratio P(x) / P(0) is equal to 1, indicating that the power at position x is equal to the power at the reference position.

The given wave function is y = A₀e^(-bx) sin(kx - ωt), where A₀ is the amplitude factor.

To compute the ratio P(x) / P(0), we need to find the power at position x (P(x)) and divide it by the power at the reference position (P(0)).

The power in a wave is given by the equation P = ½μω²A², where μ is the linear mass density, ω is the angular frequency, and A is the amplitude.

Let's find P(x) first:
P(x) = ½μω²A²

From the given wave function, we can see that the angular frequency ω is related to the wave number k and the speed of the wave v by the equation ω = vk.

Let's substitute this into the power equation:
P(x) = ½μ(vk)²A²
     = ½μv²k²A²

Now, let's find P(0):
P(0) = ½μ(vk)²A₀²
     = ½μv²k²A₀²

Finally, let's compute the ratio P(x) / P(0):
P(x) / P(0) = (½μv²k²A²) / (½μv²k²A₀²)

Notice that the linear mass density μ, the wave speed v, and the wave number k are the same for both P(x) and P(0). Therefore, these terms cancel out in the ratio.

P(x) / P(0) = A² / A₀²

Since A₀ is the amplitude factor, we can rewrite it as A₀ = A. Thus,
P(x) / P(0) = A² / A₀²
            = A² / A²
            = 1

Therefore, the ratio P(x) / P(0) is equal to 1, indicating that the power at position x is equal to the power at the reference position.

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