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How long will your trip take if you travel 890 km at an average speed of 92 km/hr?


81,880 hrs

9.67 s

9.67 hrs

81,880 s

Using the information depicted on the distance - time graph, the slope of the graph is could be used to infer the velocity of each cyclist. Hence, cyclist A and B do not have the same velocity at 3 seconds.

The steepness of slope on the distance - time graph gives the velocity of the cyclist. At time, t = 0 ; the cyclist A has a greater slope than cyclist B. Hence, the velocity of the cyclists is different.

Therefore, the cyclists do not have the same velocity at time, t = 3 seconds.

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Answer:

For example, an earthquake of magnitude 5.5 releases about 32 times as much energy as an earthquake measuring 4.5. Another way to look at this is that it takes about 900 magnitude 4.5 earthquakes to equal the energy released in a single 6.5 earthquake.

Explanation:

The acceleration we calculated is negative, it means the force applied is not enough to pull Block A upward. The 10 lb force is insufficient to overcome the 20 lb weight of Block A, and thus, it is impossible to pull the cord down 4 ft under the given conditions.

To determine the time needed to pull the cord at B down 4 ft starting from rest, we need to consider the forces acting on the system and use Newton's second law of motion. We'll assume that the pulleys and cords are frictionless and massless.

Given:
- Force applied to the cord, F = 10 lb
- Block A weight, W = 20 lb
- Distance to pull the cord down, d = 4 ft

1. Find the acceleration of the system.
Newton's second law states that F = ma, where F is the net force acting on an object, m is the mass, and a is the acceleration.

For this system, the net force acting on Block A is the difference between the applied force and the weight of Block A: F_net = F - W.
F_net = 10 lb - 20 lb = -10 lb (negative sign indicates the force is acting upward).

2. Calculate the mass of Block A.
To find the mass of Block A, use the formula W = mg, where W is the weight, m is the mass, and g is the acceleration due to gravity (approximately 32.2 ft/s²).
m = W / g
m = 20 lb / 32.2 ft/s² ≈ 0.621 lb·s²/ft

3. Calculate the acceleration of Block A.
Now, we can use F_net = ma to calculate the acceleration of Block A.
a = F_net / m
a ≈ -10 lb / 0.621 lb·s²/ft ≈ -16.1 ft/s²

4. Determine the time needed to pull the cord down 4 ft.
Use the equation of motion: d = 0.5 * a * t², where d is the distance, a is the acceleration, and t is the time.
4 ft = 0.5 * (-16.1 ft/s²) * t²
Solving for t:
t² ≈ 4 ft / (-8.05 ft/s²)
t² ≈ -0.4968 s²

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The required volume of the gas is 0.52 L.

Diminishing the volume of a contained gas will expand its tension, and expanding its volume will diminish its strain. As a matter of fact, on the off chance that the volume increments by a specific variable, the tension declines by a similar element, as well as the other way around.

V1 = 1.56 L, P1 = 1 atm, P2 = 3 atm,

To find: V2 of gas

So, P1V1 = P2V2

V2 = P1V1/P2

V2 = 1.56(1)/3 = 0.52 L

Thus, required volume of gas is 0.52L

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Correct question:

A gas occupies 1.56 l at 1.00 ATM what will be the volume of this gas if the pressure becomes 3.00 ATM

The particle temperature and the valency of the atom in the particles are the two parameters that decrease with the kinetic energy of the particles in an item.

Temperature directs to the hotness or coldness of a body. In clear terms, it is the method of finding the kinetic energy of particles within an entity. Faster the motion of particles more the temperature.

Because an item possesses kinetic energy when it is moving, anything that prevents that motion will reduce the kinetic energy of the object.

A valence electron is an electron in the outermost shell associated with an atom that can experience the innovation of a chemical bond if the outer shell is not closed. Both atoms contribute one valence electron to create a shared pair.

More the valence electron more the motion of atoms results in more kinetic energy,

Hence the two factors decrease as the kinetic energy of the particles in an object will be the particle temperature and the valency of the atom in the particles.

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Hence the complete statement will be, " Sensation " occurs in the body while perception occurs in the brain.

Option D

Generally, senses acquire facts from the surroundings using the sensory receptors which eventually feed into neural inputs.

These neural impulses are then dispatched to the brain there it is prepared and interpreted for in addition evaluation which is recognized as perception.

Therefore,we have the follow statements to be true

Sensation occurs in the body

Perception occurs in the brain

Option D

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The formula for the mass remaining after t years for a sample of radium-226 with an initial mass of 100mg is given by \($M(t) = 100 \times 0.5^{t/1590}$\). After 1000 years, the mass is approximately 87mg. The mass will be reduced to 30mg after approximately 2167 years.

(a) The decay of radium-226 follows an exponential decay model, where the amount of radium remaining decreases by half every 1590 years. The formula for the mass remaining after t years can be derived using the half-life concept. Let M(t) represent the mass remaining after t years, then the equation can be written as \($M(t) = 100 \times 0.5^{t/1590}$\). Here, 100 represents the initial mass of the sample, and 0.5 is the decay constant derived from the half-life.

(b) To find the mass after 1000 years, we substitute t = 1000 into the formula: \($M(1000) = 100 \times 0.5^{1000/1590}$\). Evaluating this expression gives us approximately 87mg.

(c) To determine when the mass will be reduced to 30mg, we need to solve the equation \($M(t) = 30$\) for t. Substituting M(t) and rearranging the equation gives us \($100 \times 0.5^{t/1590} = 30$\). Solving this equation, we find t ≈ 2167 years. Therefore, it will take approximately 2167 years for the mass of the radium-226 sample to be reduced to 30mg.

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It would approximately take 200,000 years at Light Speed in order to cross the Milky Way.

The Milky way may be defined as a broad band of light that can be frequently observed in the night sky and that is caused by the light of a very large number of faint stars.

It is found that the diameter of the milky way galaxy is 80,000 light-years. So, according to the speed of light, it is calculated that it would approximately take 200,000 years at Light Speed in order to cross the Milky Way. It is a large spiral system consisting of several hundred billion stars, one of which is the Sun.

Therefore, it would approximately take 200,000 years at Light Speed order to cross the Milky Way.

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You are approximately 1170.96 meters away from the location of the firework.

We know that the time difference between seeing the light and hearing the sound is 3.50 seconds. The speed of sound in air depends on the temperature, so we need to use the temperature information to calculate the speed of sound. The formula for the speed of sound in air at a given temperature is:

v = 331.3 + 0.606T

where v is the speed of sound in meters per second, and T is the temperature in degrees Celsius.

Substituting T = 5.00 degrees Celsius, we get:

v = 331.3 + 0.606 × 5.00

v = 334.56 m/s

Now we can calculate the distance to the firework using the formula:

d = v × t

where d is the distance, v is the speed of sound, and t is the time difference between seeing the light and hearing the sound.

Substituting v = 334.56 m/s and t = 3.50 s, we get:

d = 334.56 × 3.50

d = 1170.96 m

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Answer:

He is wrong!

Explanation:

Frequency refers to how many wave lengths pass in a second and speed is how fast the wave is traveling for example the speed of light goes really fast but has a mid-level frequency.

Hope this helps! ;-)

Answer:

A force pump can be used to raise water by a height of more than 10m, the maximum height allowed by atmospheric pressure using a common lift pump.

In a force pump, the upstroke of the piston draws water, through an inlet valve, into the cylinder. On the downstroke, the water is discharged, through an outlet valve, into the outlet pipe.

Answer:

An object moving in certain direction with an acceleration in the perpendicular direction. The above condition is possible . Example of such situation in life would be when stone tied to a string whirling in a circular path

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The device that involves the use of plasma in technology is an arc welder. Plasma is used in a variety of technological applications. The correct option is A.

Arc welder involves the use of plasma in technology.

An arc welder is a welding tool that employs electricity to create an electrical discharge between an electrode and a base metal to generate heat. The heat generated by the arc is capable of melting and fusing metal parts.

The electrode is a metal wire that melts as the current passes through it, producing an arc that fuses the metal parts together.

Arc welding is widely used in the metalworking and construction industries due to its ability to create permanent and robust connections between metal parts.

The most common type of arc welding is stick welding, which employs a flux-covered electrode and an arc welder power source to generate an electrical arc that fuses metal parts together.

Other types of arc welding include TIG (Tungsten Inert Gas) welding and MIG (Metal Inert Gas) welding, which employ different types of electrodes and gas shields to generate an electrical arc that fuses metal parts together.

Plasma cutting is another technique that employs plasma in technology. Plasma cutting involves the use of a plasma torch to cut metal parts. The torch generates a plasma jet that melts and cuts the metal parts, leaving a clean and smooth cut.

Plasma cutting is widely used in the metalworking and construction industries due to its ability to cut metal parts quickly and accurately. Therefore, the correct option is arc welder.

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10.

An array with 4,096 elements can be cut into two equal pieces 10 times. Each time we cut the array in half, we divide the number of elements by 2. Starting with 4,096, we have:

1st cut: 4,096 / 2 = 2,048

2nd cut: 2,048 / 2 = 1,024

3rd cut: 1,024 / 2 = 512

4th cut: 512 / 2 = 256

5th cut: 256 / 2 = 128

6th cut: 128 / 2 = 64

7th cut: 64 / 2 = 32

8th cut: 32 / 2 = 16

9th cut: 16 / 2 = 8

10th cut: 8 / 2 = 4

After the 10th cut, we are left with two equal pieces of 4 elements each. Therefore, the array can be cut into two equal pieces 10 times.

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To find the speed of the planet in a perfectly circular orbit around the star, we can use the equation v = sqrt(Gm2 / r). Plugging in the given values, we get v = 1843.3 m/s. Therefore, the planet must have a speed of approximately 1843.3 m/s.

Answer:

His third law states that for every action or force in nature there is an equal and opposite reaction.

Explanation:

The heavier the books get, the harder it is for Molly to exert enough force to move the cart.

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Answer:

Stress does not cause illness, but restrains the immune system's ability to fight foreign invaders

Explanation:

It's correct :)

(a)the angular acceleration of the flywheel is 16.7 rad/s^2.

(b)the linear velocity of a point on the rim of the wheel after 15.0 s is 50 m/s.

(c)the wheel makes approximately 29.8 revolutions during the 15.0 s.

(a) The initial angular velocity of the flywheel, ω0 = 0. The final angular velocity, ω = 250 rad/s. The time, t = 15.0 s. Using the formula,

ω = ω0 + αt

where α is the angular acceleration, we can solve for α:

α = (ω - ω0)/t = 250 rad/s / 15.0 s = 16.7 rad/s^2

Therefore, the angular acceleration of the flywheel is 16.7 rad/s^2.

(b) The linear velocity, v, of a point on the rim of the wheel is given by:

v = rω. where r is the radius of the wheel. Substituting r = 0.2 m and ω = 250 rad/s, we get:

v = (0.2 m)(250 rad/s) = 50 m/s

Therefore, the linear velocity of a point on the rim of the wheel after 15.0 s is 50 m/s.

(c) The number of revolutions made by the wheel during the 15.0 s can be calculated using the formula: θ = ω0t + (1/2)αt^2

where θ is the angular displacement of the wheel. Since the wheel starts from rest, ω0 = 0. Also, the final angular velocity, ω, is given by:

ω^2 = ω0^2 + 2αθ

Solving for θ, we get: \(θ = (ω^2 - ω0^2) / 2α = (250^2 - 0^2) / (2 x 16.7) = 187.1 rad\)

The number of revolutions, N, made by the wheel can be calculated as:

N = θ / 2π = 187.1 rad / (2π) = 29.8 revolutions (approx)

Therefore, the wheel makes approximately 29.8 revolutions during the 15.0 s.

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At an atomic level, electrostatics is responsible for most of the physical phenomena that we encounter in our everyday life. Every object we see around us, such as chairs, buildings, and people, are made up of atoms, and every atom has electrons that are negatively charged, protons that are positively charged, and neutrons that have no charge.

Electrostatics is the study of electric charges at rest and of the forces and fields associated with these charges. Electrons are held in atoms by the attraction of the positive nucleus for the negative charge of the electrons. This attraction is known as electrostatic force. The protons in the nucleus are also held together by electrostatic forces, which are much stronger than those that bind electrons to the nucleus.
The forces between charged objects are governed by Coulomb's Law. This law states that the force between two charged objects is proportional to the product of their charges and inversely proportional to the square of the distance between them. If the charges have the same sign, the force is repulsive; if they have opposite signs, the force is attractive.
Electrostatic forces play an important role in many physical phenomena, such as the attraction of dust particles to a TV screen, and the Van de Graaff generator, which uses electrostatic forces to build up very high voltages.

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To find the number of regular (statute) miles in 1 nautical mile, we need to determine the length of the arc on the surface of the earth that corresponds to 1 nautical mile.

We are given that the central angle formed at the center of the earth has a measure of 1'. We know that the circumference of a circle is given by 2πr, where r is the radius of the circle. In this case, the radius of the earth is given as 4,000 miles.To find the length of the arc corresponding to 1', we can use the formula for the circumference of a circle and convert the angle measure from minutes to radians:C = 2πr
Arc Length = C * (θ/360) (where θ is the angle measure in degrees)In this case, the angle measure is given as 1', which is equal to 1/60 degrees or (1/60) * (π/180) radians.
Arc Length = 2π * 4,000 miles * [(1/60) * (π/180)]
Simplifying the expression:Arc Length = (2 * π * 4,000 * 1 * π) / (60 * 180) miles
Arc Length = (8 * π² * 4,000) / (60 * 180) miles
Arc Length ≈ 110.6 miles
Therefore, the length of the arc on the surface of the earth that corresponds to 1 nautical mile is approximately 110.6 miles.To find the number of regular (statute) miles in 1 nautical mile, we can divide 1 nautical mile by the length of the arc:Number of regular miles in 1 nautical mile = 1 nautical mile / 110.6 miles
Number of regular miles in 1 nautical mile ≈ 0.00904 miles
Rounded to the nearest hundredth of a mile, the number of regular miles in 1 nautical mile is approximately 0.01 miles.

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Answer:

\(g'=10.78\ m/s^2\)

Explanation:

The time period of a simple pendulum is given by :

\(T=2\pi \sqrt{\dfrac{L}{g}}\)

L is length of the pendulum and g is acceleration due to gravity

At the bottom of Death valley, g = 9.8 m/s²

We need to find the value of g if the period of the pendulum is decreased by 5.00%.

T'=(T-0.05T)= 0.95 T

\(T\propto \dfrac{1}{\sqrt{g} }\\\\\dfrac{T}{T'}=\sqrt{\dfrac{g'}{g}}\\\\\dfrac{T}{0.95T}=\sqrt{\dfrac{g'}{9.8}}\\\\\dfrac{1}{0.95}=\sqrt{\dfrac{g'}{9.8}}\\\\1.1=\dfrac{g'}{9.8}\\\\g'=10.78\ m/s^2\)

So, the new value of acceleration due to gravity is \(10.78\ m/s^2\).

Answer:

The average speed is \(v = 1260 \ km/s\)

The average speed is different from the average velocity in this question

Explanation:

From the question we are told that

   The equatorial  radius of Jupiter is  \(R_j = 7.1*10^{4} \ km\)

   The period of oscillation of Jupiter is \(T_J = 9 \ hours , 50 \ min = 35400 \ seconds\)

Generally the average speed is mathematically represented as

      \(v = \frac{2 \pi * R_j }{T_J}\)

=>   \(v = \frac{2 *3.142 * 7.1*10^{4} }{35400}\)

=>   \(v = 1260 \ km/s\)

Generally in average speed the direction is not considered while in average velocity the direction is considered for the  case of this question the movement equitorial point has no direction in that it start from one point and after its periodic motion it still remains at that point

The average velocity of April, knowing that she runs leftward 100 m to her horse then she rides 500 m to her truck then she drives 1000 m in a total time of 120 s is 13.33 m/s

We know that average velocity is the total displacement travelled divided by the total time. This can be written as:

Average velocity = Total displacement / total time

With the above information, we'll begin our calculation by obtaining the total displacement. This is illustrated below:

Total displacement = 100 + 500 + 1000

Total displacement = 1600 m

Finally, we shall determin the average velocity. This is shown below:

Average velocity = Total displacement / total time

Average velocity = 1600 / 120

Average velocity = 13.33 m/s

Thus, the average velocity is 13.33 m/s

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The composition of the solution in terms of mole fraction will simply be equal to the mole fraction of the volatile liquid.

It is given that the liquid a is volatile and b is non-volatile. Since the solute a is not volatile, the mole fraction of the solute is not to be taken into account for. Being non-volatile, the liquid aa will not be contributing to the partial pressure. Hence, the partial pressure will only depend on the mole fraction of b which is given to be volatile.

Therefore, here we will only have to consider the mole fraction of the volatile liquid b and not the involatile liquid a.

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Answer:

Force and Change in velocity

Explanation:

The contact time is the exact same, as they have hit eachother, rather than something.

The force is how hard they hit eachother, and due to the weight of each object, and the size, the mosquito has much less force.

The change in velocity is also unequal. While the mosquito gets squished, and is now getting thrown in the other direction, the truck is almost completely uneffected, and it's movement stays the same.

To determine the experimental error, we need to compare the experimental value with the expected or theoretical value.

At STP (Standard Temperature and Pressure), 1 mole of gas occupies a volume of 22.4 L.

Experimental error can be calculated using the following formula:

Experimental error = |(experimental value - theoretical value) / theoretical value| x 100%

Substituting the values given:

Experimental error = |(21.4 L - 22.4 L) / 22.4 L| x 100%

Experimental error = |-0.0446| x 100%

Experimental error = 4.46%

Therefore, the experimental error is 4.46%.

Standard Temperature and Pressure (STP) is a standard set of conditions for experimental measurements of gases. The standard temperature is 0°C (273.15 K or 32°F), and the standard pressure is 1 atmosphere (atm) or 101.325 kilopascals (kPa).

At STP, 1 mole of an ideal gas occupies a volume of 22.4 liters (L). This is known as the molar volume of a gas at STP and is derived from the ideal gas law, which relates the pressure (P), volume (V), number of moles (n), and temperature (T) of a gas:

PV = nRT

Where R is the gas constant. At STP, the values of P, V, and T are fixed, allowing us to calculate the number of moles of gas present (1 mole) and the volume occupied by that amount of gas (22.4 L).

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