A 58kg soccer player, moving at 3.75m/s north hits another 56kg moving at 4.90m/s collide west and
stick together. what is their speed and direction after collision

Generally, as molecular weight increases, the average speed of molecules will decrease. This is because heavier molecules, due to their greater mass, require more energy to move around and so they move more slowly than lighter molecules.

What is the molecules ?

Molecules are the smallest units of matter which have the properties of a particular substance. They are made up of two or more atoms held together by chemical bonds. Molecules can exist in different shapes and sizes, depending on the number and types of atoms they are composed of. They are essential building blocks of all matter, from the smallest to the largest. Molecules can be naturally occurring or created synthetically in a laboratory. Examples of molecules include water molecules, carbon dioxide molecules, proteins, and carbohydrates.

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Answer:

Explanation:

Assuming that the woman is moving the basket of grapes at a constant speed, we can calculate the time it will take her by using the equation t = F/P, where t is the time in seconds, F is the force in newtons, and P is the power in watts. Plugging in the given values, we get t = 14/2 = 7 seconds. Therefore, it will take the woman 7 seconds to move the basket of grapes 10 m using 14 N of force and 2 W of power.

If you plug in a 220v appliance into a 120v outlet then whatever that would happen would depend upon the kind of load.

If one is have a passive load that is without power electronics. For example- a basic heater, then the  current in the device would be reduced to the half of the actual and its power will reduce to a quarter according to the Ohm´s law. But if one is having an active load where its power is kept constant, it will consume double the amount of current in order to compensate for the reduction of voltage that has occurred. This could eventually lead to the device getting damaged.

Voltage is defined as the pressure from an electrical circuit's power source which eventually pushes charged electrons (current) through a conducting loop, and enables them to do work such as illuminating a light.

Voltage = pressure, and it is measured in volts (V).

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15650 revs min & seconds = 260.833 revs a sec. If r = 15.7 mm, c=2(3.14)r ≈ 98.646 cm A rate of 0.98646 m/s. A max gravity force so a vial set as in centrifuge leg will life is eq(v2)/r = (0.986462)/0.157=6.19811 m/s2.

The process of centrifugation involves rapidly spinning molecules in solution around in an axle (in a centrifugal rotor) to separate them based on their densities. It is one of the more practical and widely used procedures in molecular biology labs.

To sort fluids, gasses, or liquids depending on density, centrifuges are employed in a variety of laboratories. The purification of cells, organelles, viruses, proteins, and nucleic acids is a common task for centrifuges in both research and clinical facilities.

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The shortest time between flashes of light that will make a three-bladed propeller is 0.02 sec

A potent, swift-moving light source called a stroboscope is utilised for high-speed photography and the visual analysis of periodic motion. The stroboscope can be used to analyse things in rapid periodic motion by giving the appearance of paused or slowed motion.

revolution of the propeller

=> 1s/1.67 rev

T=> 0.059 s/rev

If all three blades of a three-bladed propeller are the same, the stroboscope can flash once every third revolution as follows:

T1/3 => 1/3 x 0.059

=> 0.02 sec.

A device that periodically emits quick, powerful flashes of light is known as a stroboscope. When a fast-rotating object (like the cooling fan inside a computer) is illuminated by a stroboscope's flashing light, the object appears to be stationary.

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An unbalanced force cannot overcome an objects inertia.

Define inertia?

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Inside an inelastic collision, a bullet that embeds into a block transfers its momentum to a bullet-block system. Using the principle of momentum conservation, we monitor the subsystems' speeds.

As momentum depends on both velocity and the direction of a body's motion, it is quantified by "mass velocity". Since motion is a vector and mass is a scalar, force and motion. Mass times speed equals momentum.

whenever you throw a ball at a person and it hits him in the face. It shows how challenging it would be to put a halt to the situation. In the air, a baseball is swooping. There is a big truck moving. a gun of this type shot a bullet.

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The mass of a bowling ball whose diameter is 22 cm and has a terminal speed of 77 m/s is 6.62 kg.

The maximum speed (terminal velocity) that an object can reach while falling throughout a liquid. The speed wherein the drag force equivalent to the gravitational force is known as the terminal velocity. The object's mass, cross-sectional area, drag coefficient, the density of the fluid it is falling through, and gravitational acceleration will all affect its terminal velocity.

By using the equation of terminal speed-

Vt = √2mg/ρADc

77 = √2(9.8)m / (1.225) (π(0.11)∧2 (0.47)

m = 77∧2[(1.225)(π(0.11)∧2(0.47)] / 2(9.8)

m = 6.62 kg

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There are several types of chest braces that can be used to support a heavy camera. The include a camera harness, camera chest mount and stabilizing rig

One option is a camera harness, which distributes the weight of the camera across the shoulders and upper chest. Another option is a camera chest mount, which attaches the camera directly to the chest using straps. A third option is a stabilizing rig, which attaches to the camera and uses counterweights to balance the camera and reduce the strain on the user's arms. It is important to use the chest brace that best fits your needs and also consult with a professional if you have any doubts.

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The initial acceleration is negative that is -3 m/s² and the final acceleration of the object is 77m/s². The final position is 4843meters. Thus, the correct option is A.

Acceleration is the change in the initial velocity and final velocity of an object. Acceleration is a vector quantity because it has both the magnitude and direction. The SI unit of acceleration is meter per second square (m/s²).

Velocity (v)  = 2t² - 3t + 5

Initial velocity = 5m/s

Initial Position = 10m

v = ds/ dt

Sf - Si = [tex]\int\limits^t_t{v} \, dt[/tex]

where, upper t = final time and lower t = initial time

Sf - Si = [tex]\int\limits^20_0 {(2t^{2} - 3t + 5)} dx[/tex]

Sf - Si = (2t³/3 - 3t²/ 2 +5t)²⁰₀

Sf - 10 = 4833.3meters

Sf = 4833.3 + 10

Sf = 4843.3 meters

Acceleration = dv/dt

Acceleration = d/ dt (2t² - 3t + 5)

Acceleration = 4t - 3

Initial acceleration (ai at t = 0sec) = 4(0) - 3 = -3 m/s²

Final acceleration (at at t = 20sec) = 4(20) - 3 = 80 - 3 = 77m/s²

Therefore, the correct option is A.

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E1=E4>E5>E2=E3 is the correct order of magnitudes induced in the loop. Region I has a magnetic field that is neither uniform nor steady and points out of the page. Disregard any communication between loops.

In terms of physics, magnitude is just "distance or quantity." In terms of motion, it shows the absolute or relative size, direction, or movement of an object. It is used to describe something's size or scope .In physics, the term "magnitude" often refers to a size or amount.

The definition of magnitude is "how much of a quantity." The magnitude, for instance, can be utilized to explain the contrast between the speeds of a car and a bicycle.

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A 37 g plastic ball is travelling to the left at 14 m/s, hence 3.6j of effort must be done on the ball to make it move to the right. The definition of work done includes both the application of force.

Concerning the body and its movement. Consider a block placed on a horizontal, frictionless surface. A fixed force F exerts its influence on this block. This force acts to move the body through a distance d in a straight line and in the force's direction.

Work done to stop the ball is equal to 1/2m(v1^2 - v2^2) = 1/2(0.037)(0 - 14^2) = -3.6j.

Work performed to accelerate the ball equals 1/2m(v1^2 - v2^2) = 1/2(0.037)(14^2 - 0) = 3.6j.

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Time to take until there is only 1 pound left is half life,t  =  218,407 years.

The amount of time needed for the reactant concentration to drop to half its initial value is known as the half-life of a reaction. A constant that is connected to the reaction's rate constant is the half-life of a first-order reaction. First-order reactions include those in radioactive decay. The reduction in radioactive nuclei per unit of time is the rate of decay, or activity, of a sample of a radioactive substance.

Since y' = ky, we can infer that

y = C[tex]e^{kt}[/tex]

Since 500 pounds are initially present

C = 500

Because the half life is 24,360 years, y equals 250 when t equals 24,360. Connecting provides

250 = 500C[tex]e^{24,360k}[/tex]

1/2 = [tex]e^{24,360k}[/tex]

ln(0.5) = 24,360k

k=[tex]\frac{ln(0.5)}{24,360\\}[/tex]=[tex]-2.95 \times 10^{-5}[/tex]

 y = C[tex]500e^{2.95\times 10^{-5t} }[/tex]

 1 = C[tex]500e^{2.95\times 10^{-5t} }[/tex]

t  =  218,407 years.

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Given that the distance between the crest and the trough is 3 meters, the amplitude should be half of that, which is 1.5 meters.

Here are a few illustrations of amplitude:The distance between a wave's peak and the still water's surface is how large of a wave it is.The concentration of air molecules at the core of a compression and pulse of sound would determine the amplitude of the a sound wave.

The maximum displacement of a wave propagating medium particle from its mean location to its extreme position is the amplitude.

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The wavelength of an electromagnetic wave in a vacuum is equal to the speed of light (c) divided by the frequency (f): 2.5 x 10^2 m

An electromagnetic wave is a type of energy wave that consists of oscillating electric and magnetic fields. These waves are generated by the vibration of electric charges and travel at the speed of light. Electromagnetic waves can be used to transmit information over long distances, such as in radio and television transmissions. They can also be used to transfer energy, such as in microwave ovens and solar cells. Electromagnetic waves come in many different forms, such as visible light, X-rays, and gamma rays.

λ = c/f
λ = 3.0 x 10^8 m/s / 12 x 10^6 Hz
λ = 2.5 x 10^2 m

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At a distance of four times the radius of the earth the gravity drops to g/16.

Acceleration due to gravity means the acceleration obtained by an object due to the gravitational force. Value is found out to be 9.8m/s²

The equation for acceleration due to gravity, g = GM/R²

G is the Gravitational constant

M is the mass of earth

R is the radius of the earth.

When the acceleration due to gravity is g/16,

    g/16 = GM/r², r is the distance from the earth.

    Substituting the value of g,

         GM/R²/16 = GM/r²

 Cancelling GM on both sides

      1/R² = 16/ r²

     r² = 16× R²

     r = √(16×R²)

        = 4R

So the acceleration due to gravity falls to g/16 when the distance from the earth is four times its radius.

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The two items are located at a distance of 0.404 m, which results in an approximate electric force between them of 2.48 x 10-6 N for repelling two point charges with charges of 6.98 x 10-9 and 6.44 x 10-9 c.

How much of an electric force exists between two objects?

F= kq1 q2/r2 F= 9x10-9, 6.98x10-9, 6.44x10-9/0.404x2, and 2.48x10-6 N ( repulsive)

The electric force is the force that draws electrons and nuclei together. The results of experiments have demonstrated that the electrical force exerted on two objects is inversely proportional to their distance.The negative cube of the distance that separates two things determines the force between them.

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The final volume of the gas is 4.5 x 10-3 m3.

Final volume is the measure of the volume of a substance or object after all changes to it have taken place. It is the measure of the amount of space taken up by an object or substance at a specific point in time.

We can use the work-energy theorem to solve this problem. Work (W) is equal to the change in energy (E). Since the expansion is isobaric, the change in internal energy is zero. Therefore, W = E = PΔV, where P is the pressure and ΔV is the change in volume.
We know that W = 480 J and P = ?. To solve for ΔV, we can rearrange the equation to ΔV = W/P. Plugging in the given values, we have ΔV = 480 J / P.
We also know the initial volume (V1) of the gas, so we can calculate the final volume (V2) by adding the change in volume to the initial volume: V2 = V1 + ΔV. Plugging in the given values, we have V2 = 4.5 x 10-3 m3 + (480 J / P).
Therefore, the final volume of the gas is 4.5 x 10-3 m3.

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When trying to detect extraterrestrial civilizations with radio telescopes, we do not have to worry about the power source of the telescope. Thus option D is the correct answer.

When trying to detect extraterrestrial civilizations with radio telescopes, we do not have to worry about the power source of the telescope. The power source is used to operate the telescope and its various components, but it does not affect the ability to detect radio signals from extraterrestrial civilizations.

However, we have to worry about other factors such as channel size, time to detect, the polarization of radio waves, radio frequency, and direction in the sky. The channel size of the telescope is important as it determines the range of frequencies that can be detected. The time to detect refers to how long the telescope must observe in order to detect a signal.

Radiofrequency is also important as it determines the range of frequencies that can be detected. And the direction in the sky is important as the telescope must be pointed in the right direction to detect a signal.

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Energies of infrared photons are the same as the energies of chemical bonds. Molecules absorb infrared photons of characteristic wavelengths, revealing the types & strengths of different bonds in the molecules.

There are several uses for infrared technology. Heat sensors, thermal imaging, and night vision gear are some of the most well-known types. Infrared light is employed in wired and wireless activities in communications and networking.

The human eye cannot sense infrared light because it has different range and less energy than visible light. However, several snake and scorpion species, bed bugs, vampire bats, and mosquito species can see by using parts of the infrared spectrum. Infrared energy can occasionally be "seen" by people as heat.

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The description of the motion and the gravitational potential energy of the particles are as follows;

26. (2) Energy

27. (4) Work

28. (3) Energy kg·m²/s²

29. (2) Joule

30. (4) a 6.0-kg mass 5.0 m above the floor

31. (3) Gravitational potential energy remain the same and speed decreases

32. (2) B

33. About 9.81 Joules

34. Option (1)

35. (4) The gain is the same along all paths

36. (2) Speed decreases and the gravitational potential energy increases

Gravitational potential energy is the energy a body posses due to its relative posirtion.

26. A scalar quantity is a quantity that has only magnitude but no direction.

The quantity that has only magnitude is energy.

The correct option is (2) Energy

27. Energy is the ability to do work, therefore, work has the same unit as energy. The correct option is therefore;

(4) Work

28. Energy = Force × Distance

Force = Mass × Acceleration

The unit of force is therefore; kg·m/s²

The unit of energy is therefore; m × kg·m/s² = kg·m²/s²

29. Gravitational potential energy, is a form of energy due to elevation, therefore, the unit is the Joule

The correct option is; (2) Joule

30. Gravitational potential energy can be found using the formula;

P.E. = m·g·h

Where;

m = The mass

g = The acceleration due to gravity

h = The height

The greatest gravitational potential is therefore;

6.0 kg × 9.81 m/s² × 5.0 m

The correct option is therefore;

31. The rough horizontal surface decreases the speed. The elevation of the horizontal surface is constant, therefore, the gravitational potential energy remains the same.

The correct option is therefore;

(3) Gravitational potential energy remains the same and speed decreases

32. The gravitational potential energy of the cart is least at the lowest point.

The correct option is; (2) B

33. The gravitational energy with respect to Earth is found as follows;

5.00 kg × 2.00 m × 9.81 ² = 98.1 Joules

34. The equation for the gravitational potential energy is; P.E. = m·g·h

Therefore, P.E. is directly proportional to the distance above the Earth and graph is a straight line passing through the origin

Option (1) is correct

35. The change in elevation is the same for all 5. The correct option therefore is option (4)

(4) The gain is the same along all paths.

36. The speed of the ball decreases when it is thrown upwards, while the gravitational potential energy increases as the height increases, therefore;

(2) Speed decreases and the gravitational potemntial energy increases

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Both before and after the explosion, the rocket's centre of mass will continue to move along its original parabolic trajectory. Regardless of whether the rocket's trajectory was parabolic or not.

A location established in relation to an object or set of objects is the centre of mass. It represents the system's average location as weighted by each component's mass. The center of mass for straightforward stiff objects with homogeneous density is found at the centroid.

The center of mass of the pieces will continue to move along the same parabolic direction that the rocket would have taken if it hadn't detonated, just as it did immediately before it did.

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According to the query, the strain in the string would be 29.60N if the yo-yo rotated at a rate of 150 minutes per revolution.

Physicist tension illustration

Why is there tension? Any physical thing that is in contact with another item can apply pressures to that item. Depending on the sorts of objects in touch, we label these friction coefficient differently. We refer to the tension as tension if a rope, thread, chain, or cable is one of the things applying the force.

M= 0.20kg

r= 0.60m

Angular velocity = 150rev/min

ω= 150rev/min[2π rad/1rev][1 min/60 sec]

 ω= 15.70 rad/sec

As it revolve in a circle path, the centripetal force is equal to tension in string .

T = mω2r

  = (0.20)(15.70)(0.60)

  = 29.60N

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The impulse of the golf ball is 1.7 kg.m/s. The average force that the club exerts on the golf ball is 855 N and the average force that the golf ball exerts on the club is -855 N.

A vector quantity is force. Its amplitude and the way it acts are two characteristics that might be used to characterize it.

The mass of the ball  m = 45 g = 45 · 10⁻³ kg

Initial velocity V = 38 m/s

Contact time t = 2 · 10⁻³ s

The impulse is calculated according to the formula:

I = m · V = 45 · 10⁻³ · 38 = 1,710 · 10⁻³ = 1.71 kg m/s

I = 1.71 kg m/s

The average force is calculated according to the formula:

F = ΔI / Δt = 1.71 / (2 · 10⁻³) = 855 N

F = ΔI / Δt = 1.71 / (2 · 10⁻³) = 855 N

F = 855 N

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If a 10 m/s velocity is used to force the pupil off the board. To reach the water will take 1.28 seconds.

The speed when something that moves in a specific direction is known as its velocity. as even the speed of something like a car driving north on something like a highway or the pace at which a rocket takes off.

It only contains magnitude since it is a scale parameter. Since a negative sign indicates a direction and rate does not indicate direction, the value can only be positive or zero.

Δy = vi t+1/2 at^2

v_ i = 0

a = 9.8 m/s^2

8 = 0 + 1/2(9.8)t^2

t^2 = 1.63

t = 1.28 s

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A spring has a spring constant;Work = 1/2 * k * (Δx)^2,

Work = 1/2 * 10.0N/m * (0.065m - 0.04m)^2,Work = 0.009825 J

What is the constant ?

The constant in mathematics is a number that has a fixed value. A constant can be a single number, such as pi or e, or it can represent a set of numbers, such as the set of prime numbers. Constants are often used in equations and formulas to represent values that do not change. For example, the equation for the area of a circle is A = πr2, where π is a constant with a value of 3.14159.

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Answer:

Explanation:

2'75·10∧-4

Answer:

Explanation:

The work that must be done to lift the mass is W = F x d = 1000 kg x 9.8 m/s2 x 150 m = 1,470,000 Joules (1.47 x 106 J).

The time it will take to lift the mass at a constant speed is t = W/P = 1.47 x 106 J/7500 W = 196 seconds (3 minutes 16 seconds).

Explanation:

Power = 7500 watts

mass = 1000kg

height/distance= 150m

work= ?

time = ?

second equation for motion

2nd law of newton

F = ma

for free fall motion a = g= 9.8

force = 9800Newton

now for work done

w = force into displacement

workdone = 1470000 Joules

now finally by power formula

p = workdone upon time

time = workdone upon power

time = 196 second

I hope this would help you!

The block and table have a sliding friction coefficient of 0.083.

Although friction is assumed to be created by the interaction between the microscopic bumps on surfaces when they brush against each other, scientists are not entirely sure what causes it. It is challenging for the surface to slide over one another because the spikes on each surface flex and exert stress on one another.

The friction between both the edges can be decreased by using lubricants like oil or grease. Friction can be decreased by cleaning the surface, which makes it smooth.

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