A red cart is moving rightward with a momentum of 50 kg cm/s when it collides with a blue cart of equal mass that is initially at rest. The two carts stick together and move to the right with the same speed after the collision.

Since every action has an equal and opposite response according to Newton's third law of motion, the impulses that colliding objects exert on one another are equal and opposite.

This implies that whenever one item exerts force on another, the other object responds by exerting a force that is equal to and opposite to that exerted by the first object. A collision is a brief interaction between two bodies or more than two bodies at once that results in a change in the motion of the bodies involved due to the internal forces at play. force is involved in collisions (there is a change in velocity ). When two bodies collide, their combined kinetic energy stays constant, which is known as an elastic collision.

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Caffeine dosage and time to finish a maze are independent variables, meaning that a change in one does not cause a change in the other. It is possible that caffeine dosage may have an effect on the time it takes to finish a maze, but the time it takes to finish a maze would not cause a change in caffeine dosage.

Caffeine is a stimulant that can affect the central nervous system and can have a range of effects on the body, including increased alertness, focus, and energy. When it comes to completing a maze, the time it takes to finish it could be affected by the person's level of alertness, focus, and energy. Therefore, if a person ingests a certain dosage of caffeine, it could affect the time it takes for them to finish the maze because of the effect caffeine has on the body.

On the other hand, the time it takes to finish a maze does not affect the caffeine dosage, in other words, caffeine dosage is an independent variable, it does not depend on other variables, and does not change based on the time it takes to complete a maze. It is determined by the amount of caffeine consumed.

So, in short, caffeine dosage can have an effect on the time it takes to finish a maze, but the time it takes to finish a maze does not have an effect on caffeine dosage.

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Assuming a 6 kg block is coupled to a spring with a 350 N/m spring constant, and that there is 0.5 m between the two blocks.

Use the formula

U=1/2kx2

U=1/23500.52

U=43.75 J

Utilizing the law of conservation of energy, KE = U - f.d, where f is the frictional force acting on

1/2 mv2 = 43.75 - mgd

1/2 ×6×v²= 43.75-0.3×6×9.8×0.5\s

v= √11.643

The "spring constant," denoted by the letter "k," is a figure that effectively indicates how "stiff" a spring is. A significant value of k indicates that more power is needed to extend it a given distance than would be necessary to stretch a less stiff spring the same distance.

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A systematic error is one that constantly occurs in one direction, for as when a scale consistently overestimates everyone's weight by two pounds.

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We can find the torque of lever arm by the formula Torque(T)=Force * perpendicular distance.

A torque is an action that causes objects to rotate. A torque is required to rotate an object, just as a force is required to move an object in a line. Torque is created by force, but it also depends on where the force is applied and the point about which the object rotates.

Force and lever arm are not always perpendicular. When the force and lever arm are not perpendicular, trigonometry is required to calculate the length of the lever arm. The force applied is perpendicular to the surface of the object rotating. When this force is at an angle θ with the plane of the object, the perpendicular force requires the use of the sine function.

When an object is in rotational equilibrium, the net torque applied to it is zero. For example, if an object such as a see-saw is not rotating, you know the torque on each side is balanced Rotational equilibrium is often used to determine unknown forces. Any object that is not moving is in rotational equilibrium and in translational equilibrium.

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The required equation for torque used for lever arm r and F for force is given as τ = |r| |F| sinθ.

A simple way to calculate the magnitude of the torque is to first determine the lever arm and then multiply by the times of applied force.

The lever arm is described as the perpendicular distance from axis of rotation to the line of action of force.

The equation used to calculate torque is , τ = r × F = |r| |F| sinθ

where,

r is the magnitude of lever arm

F is the magnitude of force vector

θ is the angle between lever arm and force vectors

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Answer:

I dont know what you mena by road and the people

The statement that best defines climate is as follows: the average conditions of the atmosphere for a large region for the past 30 years or more (option D).

Climate is the long-term manifestations of weather and other atmospheric conditions in a given area or country.

Climate is now usually represented by the statistical summary of its weather conditions during a period long enough to ensure that representative values are obtained (generally 30 years).

A description of a climate includes information on, e.g. the average temperature in different seasons, rainfall, and sunshine.

Therefore, option D correctly describes climate.

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Answer:

Potential Energy at the greatest point = 37.5 J

Explanation:

Given :

Mass is 750 g

In term of kg :

Mass is 0.75 kg .

Velocity ( v ) = 10 m / sec

We have formula for kinetic energy :

K.E. = 1 / 2 m v²

Putting values now :

K.E. = 1 / 2 × 0.75 × 10 × 10

K.E. = 1 / 2 × 75 J

K.E. = 37.5 J

Since K.E . = P.E.

Thus potential energy of stone is 37.5 J .

The value of the resistor of five parallel-connected resistors is R/5 ohm. Hence, 5 resistors of resistance R/25 ohm connected in series to give an equivalent resistance to five resistors connected in parallel

Modern resistors are often constructed from a carbon, metals, or metal-oxide layer. In these resistors, an insulating material is covered in a helix around a thin layer of conductive (but still resistant) material.

A resistor is a component of an electronic device that regulates or limits the amount of electrical current that can flow through a circuit. Resistors can also supply a certain amount of power to an electronic appliance like a transistor. A light bulb illuminates when power is applied to the resistor tungsten. The end results of the energy are heat and light.

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Nonsense mutations are those point mutations in the DNA where stop codons will appear before the time they should appear.

At the time of transcribing from DNA to RNA, the template needs to have both start and stop codons for the transcription to occur correctly, but sometimes mutations can occur that do not allow the protein to be produced correctly. This mutation can be permanent which causes damage to the formation of proteins.Sometimes mutations can be beneficial, allowing evolution and helping organisms to be better formed for a new environment.

It is the type of mutation in which a termination codon occurs before the time it should be, instead of giving a codon with a certain amino acid. Which gives a much shorter protein than it should be, giving a non-functional protein.

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The elasticity of the balloon's material keeps the 1particles from forcing it to expand. The material stretches as the gas particles bump against the sides, allowing the balloon to expand to a certain point before contracting again.

The elasticity of the balloon's material is an important factor in determining the balloon's shape and size. In general, the more elastic the material is, the more the balloon will be able to stretch and expand. When the material is not elastic enough, it will not be able to stretch and the balloon will remain in its original shape.

The elasticity of the material also affects the amount of air pressure within the balloon. A more elastic material will be able to hold more air pressure, while a less elastic material will not be able to hold as much pressure. This is why balloons with a higher pressure will usually be larger than balloons with a lower pressure.

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The seatback must be adjusted far enough for your wrist to rest on the top of the steering wheel when your arm is comfortably extended.

The majority of modern automobiles, compact trucks, and SUVs have a rack and pinion steering. This transforms the steering wheel's rotational action into the linear motion which rotates the wheels and directs your course. A steering pinion, a circular gear, is used in the system to lock teeth on a rod (the rack).

The basic device at work in steering, doorknobs, turbines, and bicycle wheels is a wheel and axle. An inclined plane wound around a cylinder is known as a screw.

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Most circuits contain more than one resistor, which restricts the passage of charge inside the circuit. Resistance is a unit of measurement for this charge flow restriction.

When a current, or flow of charge, must pass through a sequence of devices, resistors are used. For instance, if a person holding a screwdriver allows current to flow through them and into the Earth, then

Resistors are connected in series to a voltage source. Given that the current must flow sequentially through each resistor, it makes sense that the total resistance is equal to the sum of the individual resistances.

This fact would be helpful to someone trying to prevent an electrical shock since they could wear high-resistance rubber-soled shoes to lower the current.

Therefore, Most circuits contain more than one resistor, which restricts the passage of charge inside the circuit. Resistance is a unit of measurement for this charge flow restriction.

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If the index of refraction of a refractive medium slows the light to 1.88 x 10^8 m/s. The index of the second medium is: 1.60.

Using this formula to find the index of the second medium

n = c/v

Where:

n = refractive index of the medium
c = velocity of light in vacuum

v = velocity of light in the medium.2

Let plug in the formula

n = (3 x 10^8 m/s)/ 1.88 x 10^8 m/s

n = 300,000,000/188,000,000

n = 1.595

n = 1.60 (Approximately)

Therefore we can conclude that the  refractive index of the medium is 1.60.

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Answer:

kgm/s(-1)

Explanation:

the units of momentum will be the product of the units of mass and velocity. Mass is measured in kg and velocity in ms-1, therefore, the SI unit of momentum will be kgm/s(-1).

Answer:

Velocity of ball = 2.90 meter per second (Approx.)

Explanation:

Given:

Distance travel by ball = 1.3 meters

Time taken by ball = 0.45 seconds

Find:

Velocity of ball

Computation:

Velocity = Total displacement / Total time taken

Velocity of ball = Distance travel by ball /Time taken by ball

Velocity of ball = 1.3 / 0.45

Velocity of ball = 2.889

Velocity of ball = 2.90 meter per second (Approx.)

The point at which we lose awareness of the intervals and begin to see apparent motion seems to kick in at around 8 - 12 frames per second.

The frequency (rate) at which consecutive images (frames) are captured or displayed is known as frame rate and is expressed in frames per second (FPS). The phrase is equally applicable to motion capture devices, computer graphics, and film and video cameras.

Frame frequency, also known as frame rate, is measured in hertz. Frame rate in electronic camera specifications may refer to the highest possible rate, whereas in practise, other settings (like exposure time), may reduce the frequency to a lower number.

Individual differences exist in both the type and properties of the visual stimulus as well as the temporal sensitivity and resolution of human vision. The human visual system can process 10–12 images per second, each of which is perceived individually; higher rates are interpreted as motion.

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Answer:

5 grams

Explanation:

15 hours = one half-life

a half-life is the time taken for the radioactive substance to reduce to half of its original value

thus in 15 hours, there will be 5 grams remaining

Answer:

1254 J

Explanation:

Applying,

Q = mcpΔT................... Equation 1

Where Q = heat, m = mass of water, cp = specific heat capacity of water, ΔT = Change in temperature.

From the question,

Given: m = 15 g, cp = 4.18 J/(g.°C), ΔT = 20°C

Substitute these values into equation 1

Q = 15×4.18×20

Q = 1254 J

Hence the amount of energy required is 1254 J

When two objects are separated by a distance then gravitational attraction between them is 1.36 × 10^-9 N.

Given,

m = 1.5 × 10^5 kg

M = 8.5 × 10^2 kg

r = 2500 m

F=GmM/r^2

Here G = 6.67 × 10^-11 N.m^2/kg^2 is the value of the gravitational constant

F = 1.36 × 10^-9 N

Every body in the universe attracts every other body with a gravitational force that decreases with distance as 1/r2. But actually he knew more about the gravitational force: from the fact that bodies of different masses near the earth’s surface accelerate downwards at the same rate, using F = ma (Second Law).

If two bodies of different masses have the same acceleration they must be feeling forces in the same ratio as their masses (so a body twice as massive feels twice the gravitational force), that is, the gravitational force of attraction a body feels must be proportional to its mass.

Newton’s first clue that gravitation between bodies fell as the inverse-square of the distance may have come from comparing a falling apple to the falling moon, but important support for his idea was provided by a detailed description of planetary orbits constructed half a century earlier by Johannes Kepler.

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Bill James came up with the Pythagorean Theorem of Baseball, which connects the amount of runs a club has scored and given up to its actual winning %.

The Pythagorean Theorem is the idea that a baseball team's record may be roughly estimated by taking the square of team runs scored and dividing it by the square of team runs scored plus the square of team runs allowed. Bill James, a baseball analyst, made this idea famous.

The Pythagorean Winning % approach uses the relationship between a team's victories and losses and the number of points scored and allowed to calculate the predicted winning percentage. To follow Pythagorean winning percentages for the seasons, consult the team statistics.

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Answer:

The acceleration becomes zero as it stops. It no longer moves

Answer:

I think

C- It's a greenhouse gas

The amplitude of the pulse is 3 m, the equation of the pulse as a function of position and time is y(x) = 6/{(x - 3t)² + 2} m and the pulse is 15 m centred at time t = 5. 00s.

y(x) = 6/(x² + 2)

v = 3 m/s

The amplitude(A) of the pulse:

When x= 0, Then y = A

Put x= 0  

y(x) = 6/(x² + 2)

y(0) = 6/(0² + 2)

y = A = 3 m

Distance travel in time t  

x = vt

x = 3 t

y(x) = 6/{(x - 3t)² + 2}

The distance covered by the pulse in the time 5 s

D = v t

D = 3 x 5  

D = 15 m

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At the instant when a mass is at its equilibrium position when undergoing simple harmonic motion, its instantaneous velocity is its maximum.

Therefore the answer is C. At equilibrium, its instantaneous velocity is at maximum

The simple harmonic motion is periodic motion that oscillates around an equilibrium position. At the equilibrium position, the net force on the mass is zero. Therefore, the mass is not accelerating, so its instantaneous acceleration is zero.

The motion is periodic, meaning it repeats itself at regular intervals of time. In the case of a mass on the end of a spring, the spring exerts a force on the mass that acts to bring it back to its equilibrium position. When the mass is at the equilibrium position, the spring force is zero, and the mass is not accelerating. Therefore, the acceleration is maximum at it ends and decreases to zero at equilibrium position.

The instantaneous velocity is zero at the end as it changes direction of motion, though the acceleration is decreasing from end position to equilibrium, velocity is increasing. The instant after equilibrium position, the acceleration is in opposite direction decreasing the velocity till it is zero at the end position.

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The potential at the fourth point will be [tex]\frac{k^3Q}{\sqrt{L}}[/tex]

Let q1= -2Q and q2 = 6Q. ( k.)

What does charge number three's value, q3, equal?

To remedy the issue, the charges' orientation is also necessary.

You might try using the formula (kQ/r) to get the potential at the fourth corner.

Electric potential is a scalor, therefore adding the values from the three sites is as simple as adding them all together.

The effort required to transfer a unit charge against an electric field from a reference point to a specified spot. Earth is typically chosen as the reference point, however, any location beyond the range of the electric field charge can be utilized. potential electricity.

for instance, q1=-Q, L from the 4th point

q2=3Q and the fourth point's root is L.

The solution to q3= Q L from the fourth point is just [tex]-\frac{kQ}{L} + \frac{k^3Q}{\sqrt{L}} +\frac{kQ}{L} = \frac{k^3Q}{\sqrt{L}}[/tex]  (at the fourth point)

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The missing diagram is attached below:

The size of smallest object that a detect wing is 22°C bat can echolocation when air temperature is 31 mm.

Bat need to use because as high frequencies for echolocation compared to lower frequencies, higher. frequencies gives them more regarding size of the object in speed and frequency the prey direction of its waver are not early detailed information their path, range, pray. Also high detected by the prey.

For care the Jame of bat, dolphin frequency as explained in alio  high radiation. Thus despite poor visibility under water, dolphin can high frequency and avoid to catch its wave it Predator. we there to find its path and to catch its prey and also to avoid its peredetor.

Bat sounds are emitted only during wing upbeat to minimize physiological costs. Air pressure in calls is just below blood pressure in lungs physiological maximum. FM is best for determining target distance Measure time delay between pulse and echo return FM sweep labels each part of pulse with a frequency value.

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Answer:

A

Explanation:

may i be marked as brnliest?