A 2130 kg car, moving at 21.5 m/s, runs into a car that has a mass of 2240 kg
and is moving at 11.4 m/s in the same direction. The cars stick together after
the collision. Assuming momentum is conserved, what is their final velocity?
OA. 14.1 m/s
OB. 12.5 m/s
O C. 16.3 m/s
O D. 19.4 m/s

The tension in the cable while the elevator is moving at a constant velocity up is supposed to be 11000N.

What do you mean by velocity?

The direction of movement of the body or object is defined by velocity. Speed is fundamentally a scalar quantity. Velocity is, in essence, a vector quantity. It is the rate at which distance changes. It is the displacement rate of change.

So,

The tension in the cable is given,

T=m(g+a)

By substituting the values of mass and acceleration given in the question we get

T=1000×(10+1)

=11000N

Hence, the tension in the cable is 11000N.

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Complete question:

A person of mass 60kg is inside a lift of mass 940kg and present the button of control panel. The lift starts moving upwards with an acceleration [tex]1.0m/s^{2}[/tex]. If g=[tex]10ms^{-2}[/tex], the tension in the supporting cable is -

The speed is given as 12.34 m/s. It contains 4 number of significant figures or sig figs.

The speed sensor measures the speed as 12.34 m/s.

The initial uncertain or estimated digit and all the digits known with certainty are referred to as the important figures of a measured amount. The first unknown digit is the last digit recorded in a measurement since it makes no sense to report any additional digits after it. When necessary, zeros are utilised to position the important figures correctly.

From the rules for deciding which digits in a measurement are significant, it is said that all non-zero digits in a measurement are significant.

12.34 m/s - contains all non-zero digits

Thus, it contains 4 sig figs.

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The total of the electric flux out of a closed surface is equal to the charge enclosed divided by the permittivity.

The electric flux through an area is defined as the electric field multiplied by the area of the surface projected in a plane perpendicular to the field.

What is electric flux?

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9 times does the ball pass through the lowest point of its arc.

Pendulum: An object that is suspended from a fixed location by a string or rod and swings freely as a result of gravity and motion. frequently used to control electronics like clocks. Simple pendulum: A back-and-forth swinging pendulum.

Time period of pendulum is given by 2×π(L/g)^0.5  (where L is length of string)

T.P = 2.71 .(1.3/9.8)0.5

Numer of oscillations made in 9.8 s = 9.8/T.P

= 4.28 = 4 and 1 quarters

Ball passes through lowest point 2 times per oscillation, and 1 times in 1 quarter of the oscillation.

Therefore, Number of times Ball passes through lowest point = 4 x 2 + 1

= 9

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The 2nd lowest standing wave frequency possible when one side o the tube is sealed is 600 Hz.

In physics, frequency is the number of waves that pass a fixed point in a unit of time as well as the number of cycles or vibrations that a body in periodic motion experiences in a unit of time.

When a body in periodic motion goes through a series of events or positions before returning to its initial state, it is said to have experienced one cycle or one vibration.

Fundamental frequency of  tube open = 400 Hz.

Hence, the 2nd lowest standing wave frequency possible when one side o the tube is sealed is = 400 × (1 + 1/2) Hz

= 600 Hz.

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If they hold on to each other after they collide, their combined speed just after the collision will be 2.6m/s

Collision: What is it?

When two bodies come into close touch with one another, a collision occurs. In this instance, the two bodies quickly exert forces on one another. The collision changes the energy and momentum of the bodies that are interacting.

For a single pair of objects with equal masses. Each ball will leave the collision with the same speed (or less) as it arrived at if we see the collision of two masses in the frame where their centers of mass are at rest.

Final speed will be 3-2 i.e. 1m/s

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According to the solving Approximately - 2.72 × 10² excess electrons on the ignition system.

An electric spark is used to ignite the fuel-air mixture in a gasoline engine, and the combustion of this mixture in the cylinders generates the motive force. Related Articles: distributor reluctor breakers spark plug electric starter.

To ignite the mixture of gasoline and air in the engine's combustion chamber at precisely the appropriate moment, the ignition system's primary function is to produce an electric spark.

Given charge  =  –1.7 × 10⁻¹⁷ C

no. of electrons = (–1.7 × 10⁻¹⁷)/(1.6 × 10⁻¹⁹)

                           = - 2.72 × 10²

According to the solving Approximately - 2.72 × 10² excess electrons on the ignition system.

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The initial speed of the mug was 3.34 m/s. The answer is option E.

The potential energy of the mug when it is on the counter is converted into kinetic energy as it slides across the counter and then into potential energy as it falls off the counter, and finally back into kinetic energy as it moves horizontally towards the base.

mgh = (1/2)mv^2 + mgh_max + (1/2)mv_x^2

where m is the mass of the mug, g is the acceleration due to gravity, h is the height of the counter, v is the initial speed of the mug, h_max is the maximum height reached by the mug, and v_x is the horizontal component of the mug's velocity just before it hits the base.

v = sqrt(2gh + 2gx)

where g = 9.8 m/s^2, h = 0.86 m, and x = 1.4 m.

Plugging in the values and evaluating the expression,

v = sqrt(29.80.86 + 29.81.4) = 3.34 m/s

Therefore, the initial speed of the mug was 3.34 m/s, which corresponds to option E.

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The change in gravitational potential energy from point A to point B is calculated to be 1.176 J.

Gravitational potential energy is given by the formula, ΔU = m g h

where,

m is mass of the pendulum

g is acceleration due to gravity

h is change in height

Here, in this problem, m is given as 1.5 kg

g is 9.8 m/s²

h is equal to yB - yA = 0.12 - 0.08 = 0.04 m

The change in gravitational potential energy from A to B is,

ΔU = (1.5 kg)(9.8 m/s²)(0.08 m) = 1.176 J

Thus, the change in gravitational potential energy from A to B is 1.176 Joules.

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The guitar player should shorten the string to a length of 1.036 m to create a 491 Hz note.

The guitar is a popular stringed instrument with a long neck, frets, and a flat soundboard. It has six strings which are typically made of nylon or steel. The strings are tuned to specific notes and plucked with the fingers or a pick. The guitar is used in many genres of music, from classical and jazz to rock and metal. It is also a great instrument for solo performances, as well as for accompanying singers. The guitar is a versatile instrument that can be used to create a range of sounds, from soft and mellow to loud and powerful.

The length of the string needed to create a note of 491 Hz is determined by the formula:

length = velocity/frequency.

Therefore, the length of the string needed to create a 491 Hz note is:

length = 509 m/s/491 Hz = 1.036 m.

Therefore, the guitar player should shorten the string to a length of 1.036 m to create a 491 Hz note.

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Over-HCl dissolves a piece of tin foil with the dimensions 10.25 cm 5.50 cm 0.600 mm.

A thin sheet of metal that is used to wrap and cover food.

Aluminum foil is frequently used in homes to wrap meals, such as meats, to stop moisture loss while cooking, cover baking surfaces, and store food. Additionally, while grilling more delicate meals like veggies, people would cover them in aluminium foil to protect them.

At normal temperature and pressure, chlorine HCl a gas composed of the elements h and chlorine, is a gas. Hydrochloric acid is a substance made of the elements water and chlorine, which is a gas, and a solution of a gas in water.

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According to mechanics, the claim that if you take one haltere off a fly, it will fly straight up until it runs out of energy is untrue.

What is meant by mechanics?

Physics' section of mechanics studies how objects move when subjected to forces or displacements and how those movements affect the surrounding environment. Quantum Fields and Classical Fields are the two subdisciplines.

What does engineering mechanics entail?

The study of mechanics focuses on how bodies or sections of bodies interact with one another due to applied forces. The area of mechanics known as dynamics focuses on the study of moving objects.

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The velocity of the kid is 5.6 m/s, v = w*r where r is the radius, and w is the frequency. We are aware that diameter is 18 m and that it is equivalent to twice the radius. So r = 18m/2 = 9m, v = 5.9*2pi*9m/min, v = (5.9*2pi*9/60) m/s = 5.56 m/s.

A huge disk positioned to allow it to freely rotate inside a horizontal plane makes up a merry-go-round, a playground ride.The merry-go-round has a mass of 216 kg, a radius of 1.4 meters, and is initially at rest.

A merry-go-round with such a moment of inertia of 1210 kg/m2 and a diameter of 2.5 m spins at 1.70 rad/s with very little friction.The platform slows to 1.35 rad/s when a child who is initially standing stationary next to the joyful hops onto its edge while facing the axis of rotation.

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Answer:

f=1.5MHz or f=1500Hz

Explanation:

f=v/λ

3×10⁸/2×10-⁵

f=1500Hz

f=1.5MHz

The maximum energy density of any battery cell is provided by lithium, an incredibly light metal. This means that they have a higher energy capacity than single-use batteries or alkaline batteries of a similar size.

Lithium batteries are constructed of this very light metal, which has the highest energy density of any battery cell. They are therefore more energy dense than alkaline batteries or any single-use battery of a comparable size.

They also perform well in both hot and cold conditions. A battery is a device that converts chemical energy contained in its active components directly into electric energy using an electrochemical oxidation-reduction (redox) cycle.

This type of reaction uses an electric circuit to transfer electrons from one material to another.

Therefore, The batteries are still linked to the capacitors, and capacitor C1's plates have a constant – dielectric slab put between them.

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(a) The initial speed as the armadillo leaves the ground is calculated to be 3.7 m/s.

(b) The speed of the armadillo at the height 0.544m is 1.74 m/s.

The height reached by the armadillo is 0.544 m.

The time taken is 0.2 s.

Let us use the equation of motion, s = u t + 1/2 g t²

Here, it is moving upward so, g is - 9.8 m/s².

Enter the values into the above equation, s = u t + 1/2 g t²

0.544 = u(0.2) - 1/2 (9.8) (0.2)²

0.2 u = 0.544 + 4.9(0.2)²

0.2 u = 0.74

Initial velocity u = 3.7 m/s

Initial speed with which it leaves the ground is 3.7 m/s.

(b) Let us find the speed at h = 0.544 m

v² - u² = 2 a s

v² = u² + 2 a s

v² = 3.7² + 2 (-9.8)(0.544)

v² = 13.69 - 10.66

v² = 3.03

v = √3.03 = 1.74 m/s

Thus, the speed of the armadillo at the height 0.544m is 1.74 m/s.

The given question is incomplete. The complete question is '(b) What is its speed at the height of 0.544 m?'

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Many men pulling on a rope to hoist a stone 1.00 m is required to build an electricity display energy in a hallway. The monitor displays 0.5 J of labor as having been finished.

What does the word "energy" mean?

The capacity to perform work is energy. Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one type to the other and use it to accomplish tasks, making modern civilization possible. Walking, bicycling, driving, rowing, and using stoves all require the usage of energy from people.

Why is energy necessary, and what is it?

Energy is the capacity to carry out work. Energy is referred to by scientists as the capacity for work. People have figured out how to transform energy from one type to the other and use it to accomplish tasks, making modern civilization possible.

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Answer:

it's c length of ramp and final speed

The position of third listener is y = 4m if the same wave front reaches her at the same instant it does the first two listeners.

A sound is a vibration that propagates through a medium in the form of a mechanical wave. The medium in which it propagates can either be a solid, a liquid or a gas. Sound travels fastest in solids, relatively slower in liquids and slowest in gases.

Source should be located midway x = −8m and x = 2m .

That is at x = −3m.

For the same wave front to reach at C , SC = SA = SB

[tex]5 = \sqrt{3^2+y^2}[/tex]

y = 4m

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--The complete question is, A point source of sound is located somewhere along the x-axis . Experiments show that the same wave front simultaneously reaches listeners at x=−8m and x=+2.0m . A third listener is positioned along the positive y-axis . What is her y-coordinate (in m) if the same wave front reaches her at same instant as it does the first two listeners? --

The largest charge amount in coulombs that may be stored is 7.10e-7 farad capacitor, which is charged using a volt battery.

An International System of Units' (ISO) common unit of electric charge is the coulomb (C) (SI). The amount of power a 1-ampere (One) current can carry in a second is known as the flux (s).

Subatomic particles have a characteristic known as "electric charge" that makes them experience force while in a magnetic and electric field.

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The fundamental frequency, or first harmonic, is the lowest frequency at which a string might vibrate and produce a standing wave pattern.

In the transverse situation, traveling waves have high points called crests and low points called troughs. In the longitudinal case, traveling waves have compressed points called compressions and stretched points called rarefactions.

Through the equation f = v, where v represents the speed of the waves along the string, wavelength and frequency are connected. The frequency increases with decreasing wavelength for a given value of v.

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The most commercial energy in the world is supplied by oil. Option B

Oil is a commercial energy source. Oil, also known as petroleum, is a fossil fuel that is extracted from underground reservoirs and refined into a variety of products, including gasoline, diesel fuel, jet fuel, and heating oil. These products are used to power vehicles, heat homes, generate electricity, and fuel industrial processes, making oil a major source of energy for many countries around the world.

Oil is one of the most widely used energy sources in the world, due to its high energy density, ease of transportation, and versatility in use. It is a non-renewable resource, meaning that it will eventually run out, and its extraction and use have a significant impact on the environment

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As battery is rated for 1.6 Ah, it delivers maximum current of 1.6 Ah / 14 hours = 0.114 A over 14 hours. Assume battery is fully charged.

An ampere-hour, or Ah, is a measure of the charge stored in a battery and can be used to calculate the maximum current that can be drawn from the battery over a certain time period.

The amount of current that can be delivered over 14 hours by a 1.6 Ah battery can be calculated by dividing the battery's capacity by the time period:

I = Q / t

where I is the current, Q is the charge stored in the battery (1.6 Ah), and t is the time period (14 hours).

Since the battery is rated for 1.6 Ah, it can deliver a maximum current of 1.6 Ah / 14 hours = 0.114 A over 14 hours. This assumes that the battery is fully charged and that no other losses, such as internal resistance or self-discharge, are taken into account.

It's important to note that the actual current that can be delivered may be lower than the calculated value, especially as the battery discharges. The actual current will depend on various factors, including the battery's internal resistance, the voltage drop across its terminals, and the load applied to the battery.

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The average velocity would be zero because the player is running from his own goal line to the opposing team's goal line and then returning to his forty-yard line. The displacement is zero.

The average is a measure of the central tendency of a set of numbers. It is calculated by adding all the numbers in the set and then dividing by the number of values in the set. The average can be used to compare sets of data and to draw conclusions about the data. It is often used to measure the overall performance of a group or to identify trends in the data.

Average Speed =

400 yd/20.0 s = 20 yd/s

Average Velocity =

The average velocity would be zero because the player is running from his own goal line to the opposing team's goal line and then returning to his forty-yard line. The displacement is zero since the net change in position is zero. Therefore, the average velocity would be zero.

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The electric field vector at one point  is the magnitude of the electrostatic force exerted per unit charge on a test charge at that point.The correct option is: (C) I and II only ,.

When charge is present in any form, a point in space has an electric field that is connected to it. The strength and direction of the electric field are expressed by the value of E, sometimes referred to as the electric field strength, electric field intensity, or simply the electric field. Without any precise information of what generated the field, simply knowing the magnitude of the electric field at a certain location is sufficient to predict what would happen to electric charges nearby.

E = [tex]\frac{F}{q}[/tex].  The vector nature of the equation allows one to find the direction of F and the equation itself allows one to find the ratio F/q, but not q specifically.

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The intricate energy balance of Earth is largely derived from solar radiation. Through the Earth's atmosphere, this radiation is absorbed, deflected, scattered, and transmitted.

The reflections of light, sound, and water waves are typical examples. In the lake, mirror, and store window, he caught a glimpse of himself. The water's surface reflected the light. More instances. His gold wristwatch gleamed in the candlelight.

As an apparent mechanical wave, noise is defined by vibrations that move thru the air or the other medium.

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Spending years working on a construction site can have a negative effect on a person's hearing. This is because construction sites are often loud environments, with the constant sound of heavy machinery and power tools. Over time, exposure to these loud noises can damage the delicate hairs in the inner ear that transmit sound to the brain. This damage can cause hearing loss, which may be temporary or permanent depending on the severity and duration of exposure. Additionally, the use of earplugs or other hearing protection devices may not always be possible, especially if workers need to communicate with each other or are unable to hear warning signals. This makes it even more important for workers to take steps to protect their hearing, such as wearing ear protection when possible and limiting exposure to loud noises.

Answer:

Displacement is the change in position of an object. To find displacement, we can subtract the initial position from the final position. In this case, the initial position is 0 m/s, since you start at rest, and the final position is 6.0 m/s south. So, the displacement is 6.0 m/s south.

The required value of distance the bug walks before it begins to slip is calculated to be 19.89 cm.

The normal force drops to half of the weight, F = 1/2 m g

where,

m is mass

g is acceleration due to gravity

The diameter of the spherical ball d = 38 cm

The value of the normal force is, F = m g cosθ

Equating both the equations of F, we have,

1/2 m g = m g cosθ

cosθ = 1/2

θ = π/3

The relation to find out distance is,

x = r θ = d/2 (θ)

Putting the values into the equation,

x = 38/2 (π/3) = 19.89 cm

Thus, the value of distance is calculated to be 19.89 cm.

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Speed = (497.15 - 497.21) x 2.9979 x 10^8 m/s = -7.41 x 10^7 m/s

The speed of a distant star relative to the Earth is determined by calculating the difference between the measured wavelength of a certain emission line and the normal wavelength of that emission line, then multiplying that difference by the speed of light. In this case, the measured wavelength is 497.15 nm, and the normal wavelength is 497.21 nm, so the difference is -0.06 nm. Multiplying this difference by the speed of light (2.9979 x 10^8 m/s) yields a negative speed of -7.41 x 10^7 m/s, indicating that the star is moving away from the Earth.

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