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The ratio of time of flight for inelastic collision to elastic collision [tex](t_A :t_B)[/tex] is 1:2

The given parameters;

Considering inelastic collision, the final velocity of the system is calculated as;

[tex]m_1u_1 + m_2u_2 = v(m_1 + m_2)\\\\m_1u_1 + 0 = v(m_1 + m_2)\\\\v= \frac{m_1u_1}{m_1 + m_2} \ -- (1)\\\\[/tex]

The time of motion of the system form top of the table is calculated as;

[tex]v = u + gt\\\\v = 0 + gt\\\\v = gt\\\\t= \frac{v}{g} \\\\t_A = \frac{m_1u_1}{g(m_1 + m_2)} \ \ ---(2)[/tex]

Considering elastic collision, the final velocity of the system is calculated as;

[tex]m_1u_1 + m_2 u_2 = m_1v_1 + m_2v_2\\\\m_1u_1 + 0 = m_1v_1 + m_2v_2\\\\m_1 u_1 = m_1v_1 + m_2v_2[/tex]

Apply one-directional velocity

[tex]u_1 + (-v_1) = u_2 + v_2\\\\u_1 -v_1 = 0 + v_2\\\\v_1 = v_2 -u_1[/tex]

Substitute the value of [tex]v_1[/tex] into the above equation;

[tex]m_1u_1 = m_1(v_2 - u_1) + m_2 v_2\\\\m_1u_1 = m_1v_2 -m_1u_1 + m_2v_2\\\\2m_1u_1 = m_1v_2 + m_2v_2\\\\2m_1u_1= v_2(m_1 + m_2)\\\\v_2 = \frac{2m_1u_1}{m_1+ m_2} \ --(3)[/tex]

where;

[tex]v_2[/tex] is the final velocity of the block after collision

Since the bullet bounces off, we assume that only the block fell to the ground from the table.

The time of motion of the block is calculated as follows;

[tex]v_2 = v_0 + gt\\\\v_2 = 0 + gt\\\\t = \frac{v_2}{g} \\\\t_B = \frac{v_2}{g} \\\\ t_B = \frac{2m_1u_1}{g(m_1 + m_2)} \ \ ---(4)[/tex]

The ratio of time of flight for inelastic collision to elastic collision is calculated as follows;

[tex]\frac{t_A}{t_B} = \frac{m_1u_1}{g(m_1 + m_2)} \times \frac{g(m_1 + m_2)}{2m_1u_1} \\\\\frac{t_A}{t_B} = \frac{1}{2} \\\\t_A:t_B = 1: 2[/tex]

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The kinetic energy of the crate as it reaches the lower surface is 80 J

Kinetic energy is the energy possed by an object in motion. Mathematically, the kinetic energy can be expressed as follow:

KE = ½mv²

With the above formula, the kinetic energy of the crate can be obtained as follow:

KE = ½mv²

KE = ½ × 10 × 4²

KE = 5 × 16

KE = 80 J

Therefore, the kinetic energy of the crate is 80 J

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Answer:

2.1 seconds

Explanation:

let D represent the height in meters

let g represent gravity in meters per second squared

let t represent time in seconds

D= -42 meters (negative because it falls down)

g= -9.8m/s^2

t= [tex]\frac{-42 meters}{9.8 m/s^2}[/tex]

this gives t= 4.2857 s^2

the meter units cancel out in the division

now we must simplify the units to singular seconds so...

[tex]\sqrt{4.3 s^{2} }[/tex] which simplifies to [tex]\sqrt{4.3}[/tex] x [tex]\sqrt{s^{2} }[/tex]

this equals 2.1 seconds

(a) The angle the planks make with the ground in order for the lathe to slide down at constant velocity is 90⁰.

(b) Yes, at this angle the lathe will start sliding at constant velocity because of the sharp steepness.

The given parameters:

The net force on the wooden skids is calculated as follows;

[tex]\Sigma F = 0\\\\F - \mu mg cos\theta = 0\\\\ma - \mu mg cos\theta = 0\\\\ma = \mu mg cos \theta \\\\a = \mu g cos\theta\\\\at \ constant \ velocity , \ a = 0\\\\0 = \mu g cos \theta\\\\cos \theta = 0\\\\\theta = 90 ^0[/tex]

Yes, at this angle the lathe will start sliding at constant velocity because of the sharp steepness.

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Destruction of property from lava flow, destruction from mud flows and lung problems from ash and toxic gases are all some of the dangers that volcanoes pose to human populations.

Volcanoes refer to an opening that appears on the earth's surface and serves as a vent for lava, volcanic ash, and gases. These could lead to a fire outbreak in mountains sometimes.

The following are dangers posed by volcanoes pose to human populations;

Hence, the correct answer to the question is "all of the above".

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Answer:

D

Explanation:

EDGE 2021

Answer:

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The characteristics of the thermal heating mechanisms allow to find the correct answer for how snow prevents soil heating is:

         b) Snow reflecting solar radiation.

The heating of the system occurs by absorption of energy by three basic mechanisms:

In this case, the snow receives electromagnetism waves from the sun, a large part of these waves are reflected by the snow, therefore they do not reach the ground and cannot be absorbed, thus decreasing its heating.

Let's analyze the claims:

a) False. Greenhouse gases do not interfere with snow on the ground.

b) True. This mechanism reduces radiation heating.

c) False. The heat that comes from the equator warms the air.

d) False. Heating by the Earth's core occurs everywhere and comes from the center of the earth, so it does not interact with snow.

In conclusion, with the characteristics of the thermal heating mechanisms, we can find the correct answer for how snow prevents soil heating is:

         b)  Snow reflecting solar radiation

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Answer:

it Give only one of them a positive or negative charge

Answer:

Rubbing the balloon against hair or wool causes electrons to move from the hair or wool to the balloon. The balloon's negative charges are attracted to the positive charges in the can, and so the can rolls toward the balloon.

Answer:

147 Joules

Explanation:

It would be potential energy because it is stored. Potential energy = gravity * mass * height. Gravity is 9.8 m/s² or more specific 9.807 m/s². Potential energy is written in Joules.

9.8 * 5 * 3 = 147 Joules

More specific:

9.807 * 5 * 3 = 147.105 Joules

Answer:

Velocity of the vehicle (v) = 6.5 m/s

Explanation:

Mass of automobile (m) = 1200 kg

Momentum of vehicle (p) = 7800 kg m/s

By using formula of momentum:

[tex] \rm p = mv \\ \rm 7800 = 1200 \times v \\ \rm v = \frac{7800}{1200} \\ \rm v = 6.5 \: m {s}^{ - 1} [/tex]

7777Answer:

Explanation:

Answer:

The term "solar collector" commonly refers to a device for solar hot water heating, but may refer to large power generating installations such as solar parabolic troughs and solar towers or non water heating devices such as solar air heaters. radiant energy is the energy of electromagnetic and gravitational radiation.Active solar heating systems use solar energy to heat a fluid;either liquid or air; and then transfer the solar heat directly to the interior space or to a storage system for later use. If the solar system cannot provide adequate space heating, an auxiliary or back-up system provides the additional heat.

[tex]\text{Given that,}\\\\\text{Force, F =200 N}\\\\\text{Mass, m = 20 kg}\\\\\text{Using Newton's second law,}\\\\F = ma \\\\\implies a = \dfrac{F}{m} = \dfrac{200}{20}= 10 ~ \text{ m s}^{-2}\\\\\text{The acceleration is 10 m s}^{-2}.[/tex]

Answer: decrease

Explanation: it does

Answer:

S = V t     where S is the horizontal distance traveled

1/2 g t^2 = H       where H is the vertical distance traveled

t^2 = 2 H / g

V^2 = S^2 / t^2 = S^2 g / (2 H) combining equations

tan theta = H / S

V^2 = S g / (2 tan theta)

Using S = L cos theta

V^2 = L g cos theta / (2 tan theta)

Giving V in terms of L and theta

[tex]\\ \sf\longmapsto GPE=mgh[/tex]

[tex]\\ \sf\longmapsto GPE=90(5)(9.8)[/tex]

[tex]\\ \sf\longmapsto G PE=4410J[/tex]

Now

It's converted to kinetic energy while reaching ground.

[tex]\\ \sf\longmapsto K.E=4410[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{2}mv^2=4410[/tex]

[tex]\\ \sf\longmapsto 90v^2=8820[/tex]

[tex]\\ \sf\longmapsto v^2=98[/tex]

[tex]\\ \sf\longmapsto v=9.9m/s[/tex]

Done

Answer:

Hope it will help you a lot.

If the wave velocity and frequency of a wave are both doubled, the wavelength will remain the same.

The wavelength of a wave shows the spatial orientation of distance between two successive crest in a wave medium.

The wavelength λ is expressed by using the relation:

[tex]\mathbf{\lambda = \dfrac{v}{f}}[/tex]

Now, if velocity and  frequency of wave is both doubled, the wavelength will   remain the same.

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Answer:

applications of density measurements. The densities of brass and aluminum will be calculated from mass and volume measurements.

Explanation:

The car's velocity is 2 m/s.

Hope you could get an idea from here.

Doubt clarification - use comment section.

Hi there!

Since the crate is being slid at a constant speed, the forces sum to 0 N. In this instance, the following forces occur in the axis of interest:

Wsinθ = downward acceleration along incline due to gravity (N)

Fκ = kinetic friction force along incline (N)

A = applied force (N)

The acceleration due to gravity and friction force act in the same direction, so:

Wsinθ + Fκ = A

Solve for sinθ using right triangle trigonometry:

sinθ = O/H = 3/6 = 0.5

Rearrange the equation for the force of kinetic friction and solve:

Fκ = A - 0.5W

Fκ = 30.4 - 20 = 10.4 N

Now, recall that:

Work = Force × displacement (W = F × d)

Since the box's displacement is in the same axis as the force but OPPOSITE direction, we must use:

W = Fdcosθ

Angle between displacement and friction force is 180°.

cos(180) = -1

Work done by friction = -Fd = -10.4(6) = -62.4 J

Answer:

volume :: is the level at which something is heard or the amount of space that something takes up.

Density :: is a measure of mass per volume. The average density of an object equals its total mass divided by its total volume.

Answer:

The density, of a substance is its mass per unit volume. The symbol most often used for density is ρ, although the Latin letter D can also be used. Mathematically, density is defined as mass divided by volume: {\displaystyle \rho ={\frac {m}{V}}} where ρ is the density, m is the mass, and V is the volume

Answer:

There are four types of orbitals that you should be familiar with s, p, d and f (sharp, principle, diffuse and fundamental). Within each shell of an atom there are some combinations of orbitals

Answer:

Answer 3: When a balloon goes up higher in the air, its size will increase. Since there's less air in the upper atmosphere, there's less stuff pushing back on the balloon, and hence the pressure is lower, which allows the balloon to expand

Answer: C

Explanation:

As the balloon rises, the gas inside the balloon expands because the atmospheric pressure surrounding the balloon drops. The atmosphere is 100 to 200 times less dense at the float altitudes than on the ground. and as the air is heated inside the balloon it causes it to rise upwards (because it is lighter than the cooler air on the outside). When the pilot needs to bring the balloon down again, he simply reduces the temperature of the air inside the balloon causing it to slowly descend.

Answer:

No. Water can be used in a hydroelectric dam to generate electricity, but this does not make us use more or less water in our homes.

Explanation:

Answer:We use more freshwater to provide us with electricity. Water is the only compound that can be found naturally as a liquid, gas, and solid.

Explanation:

Answer:

Hey Tyere!

Refer to the attachments....

Answer:

centripetal acceleration is when an object accelerates going in a circular motion.

Answer:

The answer is D

Explanation:

Gas is made when chemical change happens. The chemical change has made a new substance gas. It cannot be combustion unless it is hot or was on fire.

A chemical change has resulted in the production of a new substance, which is being given off.

The correct option is D.

A chemical change is any process that converts one material into another, produces new compounds with unique features, or combines any of these processes. When two compounds combine to generate a new material, it takes place (synthesis or either decomposes to form more substances).

Breaking covalent bond between reactant molecules (particles) and creating new bond between atoms in product particles are two aspects of chemical reactions (molecules). While there are the same number of atoms both before and after the biochemical transition, there will be a change in the number of molecules.

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