A gas is compressed by an isothermal process that decreases its volume by a factor of 2. In this process, the pressure:________

a. Does not change
b. Increases by a factor of less than 2.
c. Increases by a factor of 2.
d. Increases by a factor of more than 2.

The maximum width of the slit (in nm) for which no diffraction minima are observed is 569 nm.

The maximum width of the slit (in nm) for which no diffraction minima are observed is calculated by applying the following equation.

sinθ = mλ/a

where;

Substitute the given parameters and solve for the maximum width of the slit (in nm) for which no diffraction minima are observed.

sin(90) = (1 x 568.7 nm) / a

1 = (568.7 nm) / a

a = (568.7 nm) /1

a = 568.7 nm

to the closest integer = 569 nm

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The quantity of motion of a moving body, measured as a product of its mass and velocity.

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Answer:

The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals.

Explanation:

The importance of learning is that it helps the individual to acquire the necessary skills through learning and knowledge so that he can achieve his set goals. An important fact about learning is that it is a means to improve knowledge and gain skills that will help in reaching specific goals.

Explanation:

70 degrees North of west = 110 degrees

30 degrees southof east = - 30 degrees:

Vertical components added together =

  75 (sin -30)   +    55 sin 110  =  14.18  N

Horizontal components added together =

 75 cos (-30)   + 55  cos 110    = 46.14  N

Magnitude =  sqrt ( 14.18^2 + 46.14^2 ) = 48.3   N

   direction = arctan ( 14.18 / 46.14) =  ~ 17.1 North of East

The work done by air resistance during the descent from the height of the helicopter to the ground is 520.2 J.

The acceleration of the skydiver is calculated as follows;

v² = u² + 2as

v² = 0 + 2as

v² = 2as

a = (v²)/(2s

a = (3.5²)/(2 x 1200)

a = 0.0051 m/s²

W = Fd

W = (ma)d

W = (85 x 0.0051) x 1200

W = 520.2 J

Thus, the work done by air resistance during the descent from the height of the helicopter to the ground is 520.2 J.

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The temperature of a substance is determined by the average kinetic energy of its particles, so Substance X and Substance Y have higher temperatures because their particles have more kinetic energy. The number of particles does not affect temperature. The correct options are (A) and (C).

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Answer:

Should be 1.12N

Explanation:

Cause 6×2=12

Answer:

1.12 Newtons

Explanation:

F=ma, so if you convert the numbers, it's just 6 times 2.

Don't be distracted or intimidated by the units, they don't matter in this case. Force will always be in newtons, mass in grams, acceleration in m/s2 and velocity in m/s. They would only convert to their own smaller measurements.

Answer:

Explanation:

From the information:

\(F(x,y) = 2xy^3i+3x^2y^2j;P(-9,4), B(10,5)\)

\(W = \int ^{10,5}_{-9,4} f .dn \\ \\ W = \int ^{10,5}_{-9,4} (2xy^3i) + 3x^2y^2j) *(dxi+dyj) \\ \\ f = 2xy^3\ \ ,\ \ g = 3x^2y^2 \\ \\ \dfrac{\partial f}{\partial y} = \dfrac{\partial g}{\partial x} \\ \\ \text{We wil realize that f is conservative; as a result, there is a potential function } \phi ;\\\\ \dfrac{\partial \phi}{dx}= 2xy^3 \\ \\ \phi= \dfrac{2x^2}{2}y^3+f(y) \\ \\ \phi = x^2y^3 + f(y) \\ \\ \dfrac{\partial \phi}{\partial y } = 3x^2y^2 + f'(y) \\ \\\)

\(\dfrac{\partial \phi}{\partial y } = 3x^2y^2 + f'(y) = 3x^2y^2 \\ \\ f'(y) = 0 \\ \ f(y) = k \\ \\ \phi = x^2y^3 + k \\ \\ Recall: \int^{10,5}_{-9,4 } \ F* dn = W = \phi(10,5) - \phi (-9,4) \\ \\ = (10)^2(5)^3 + k - (-9)^2(4)^3 - k \\ \\ = (100*125) - (81*64) \\ \\ = 12500 - 5184 \\ \\ =7316\)

Answer:

Net force

Explanation:

The net force is the vector sum of all the forces that act upon an object. That is to say, the net force is the sum of all the forces, taking into account the fact that a force is a vector and two forces of equal magnitude and opposite direction will cancel each other out.

Answer:

compressions; rarefactions

Explanation:

Answer:

electricity

Explanation:

Answer:

This is called static electricity

Explanation:

The reasoning behind this is because the negative electrons in your hair are being transferred to the balloon, then when the balloon is removed it pulls on the hair with an attractive electric force.

Explanation:

The gravitational force between two objects when they are placed at some distance is given by :

\(F=G\dfrac{m_1m_2}{d^2}\)

Where

G is universal gravitational constant

m₁ and m₂ are masses

d is the distance between masses

The gravitational force is directly proportional to the product of masses and inversely to the square of the distance between them. It would mean that if the mass of the objects increases, the force will increase while if the distance is increased, the force between objects will decrease.

The owl started out at a height of about 3.2 metres.

Gravity is the force that draws objects toward the center of a planet or other object.

Gravitational potential energy (GPE) is calculated as follows:

GPE = mass x gravity x height. Since we are aware of the owl's mass (4 kg) and the change in GPE (-800 J) in this case, we can rewrite the formula to account for the height: tallness = GPE / (mass x gravity).

On Earth, the acceleration caused by gravity is roughly 9.8 m/s2.

By entering the known numbers, we obtain the height change as follows: -800 J / (4 kg x 9.8 m/s2) = -0.408 metres.

By combining the ultimate height (which is believed to be 0 metres) with the height change, we may get the initial height as follows: 0 m + (-0.408 m) = -0.408 m = 0.408 m = 3.2m.

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1) Since each bulb has a resistance of 3.00 Ω, we can calculate the number of bulbs: n = R/R_bulb = 96 Ω/3.00 Ω = 32 bulbs. There are 32 light bulbs in the circuit.

2) The total resistance is equal to the sum of individual resistances: R_C = 120 Ω - 6 Ω - 18 Ω = 96 Ω. The resistance of bulb C is 96 Ω.

In a series circuit, the total resistance is equal to the sum of individual resistances. Using Ohm's Law, we can find the total resistance:

R = V/I = 120.0 V/1.25 A = 96 Ω

Since each bulb has a resistance of 3.00 Ω, we can calculate the number of bulbs:

n = R/R_bulb = 96 Ω/3.00 Ω = 32 bulbs

Therefore, there are 32 light bulbs in the circuit.

In a series circuit, the total resistance is equal to the sum of individual resistances:

R_eq = R_A + R_B + R_C

Substituting the given values:

120 Ω = 6 Ω + 18 Ω + R_C

Solving for R_C:

R_C = 120 Ω - 6 Ω - 18 Ω = 96 Ω

Therefore, the resistance of bulb C is 96 Ω.

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Answer:

(a) The position-time equations for fishing boat is x = 3.4t + 40.8

(b) The time taken for the speedboat to catch up with the fishing boat is 7.1 seconds.

The position-time equations for fishing boat will be obtained by applying the principle of relative velocity as follows;

Let the time when the speedboat catches up = t

let the total time spent by fishing boat = t + 12

x = 3.4(t + 12)

x = 3.4t + 40.8

fishing boat is moving at a constant speed = 3.4 m/s

speed boat started moving 12 seconds later,

distance between the boats = 3.4 m/s  x 12 s = 40.8 m

v = u + at

v = 2.8 + 1.7t

set up the following equation to determine the time when the two boats meet.

vt - x = 40.8

t(2.8 + 1.7t) -  (3.4t + 40.8) = 40.8

2.8t + 1.7t² - 3.4t - 40.8 = 40.8

1.7t² - 0.6t  - 81.6 = 0

solve the quadratic equation using formula method as shown below;

a = 1.7, b = -0.6, c = -81.6

t = 7.1 seconds

Thus, the time taken for the speedboat to catch up with the fishing boat is 7.1 seconds.

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Answer:

Scientific thinking skills are very important for getting along in life. They allow you to analyse problems or situations you find yourself involved in that don't always have an easy or obvious answer. We all run into problems in relationships, at work, when learning new things, when seeking to advance our lives etc.

You must not be afraid to question authority, especially when they are wrong, you must think creatively, think out-of-the-box, overcome limits and most importantly accept criticism a part of life. These traits of a scientist will build a distinctive personality in an otherwise boring existence.

A miniature quadcopter is located at xi = −1.75 m and yi = 2.70 m at t = 0, so the x-coordinate of the quadcopter's position at t = 2.10 s is -0.185 m, and the y-coordinate is -3.175 m.

The equation that is used here is the kinematic equations to find the position of the quadcopter at time t,

x = xi + vav, x × t

y = yi + vav, y × t

Substituting the given values, one can get:

x = -1.75 m + 1.70 m/s × 2.10 s = -0.185 m

y = 2.70 m - 2.50 m/s × 2.10 s = -3.175 m

Hence, the x-coordinate of the quadcopter's position at t = 2.10 s is -0.185 m, and the y-coordinate is -3.175 m.

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Answer:

2 Pascal (Pa)

Explanation:

Pressure is defined as the force acting per unit area. Mathematically, it is expressed as:

Pressure (P) = Force (F) / Area (A)

Given:

Force exerted by the air inside the balloon (F) = 1 N

Area of the balloon (A) = 0.5 m^2

Plugging in the given values into the formula for pressure, we get:

P = F / A

P = 1 N / 0.5 m^2

Using basic arithmetic, we can calculate the pressure inside the balloon:

P = 2 N/m^2

So, the pressure inside the balloon is 2 N/m^2, which is also commonly referred to as 2 Pascal (Pa) since 1 Pascal is equal to 1 N/m^2.

Answer:

Explanation:

The time taken can be found by using the formula

\(t = \frac{d}{v} \\ \)

From the question we have

\(t = \frac{210}{36} \\ = 5.8333...\)

We have the final answer as

Hope this helps you

A power plant generator does easily generate alternating current and not direct

current simply because the AC current is far cheaper to produce.

The simple reason why a power plant generator generate an alternating current cheaply is because the plant loses a very few energy when electricity is being transmitted with it through a long distance. Whereas, the direct current usually, frequently and most of the time loses more energy.

So therefore, we can now deduce from above that it is easy to generate alternating current from a power plant.

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The car is moving at approximately 12.5 meters per second.

The kinetic energy (KE) of an object can be calculated using the formula:

KE = 1/2 * m * \(v^2\)

where

KE = kinetic energy,

m =Mass of the object, and

v = velocity.

In this case, we are given the mass (m) of the car as 1600 kg and the kinetic energy (KE) as 125,000 J. To find the velocity .

Substituting the  values , we have:

125,000 J = 1/2 * 1600 kg *\(v^2\)

Now, we can solve for v by rearranging the equation:

\(v^2\) = (2 * 125,000 J) / 1600 kg

\(v^2\) = 156.25 \(m^2/s^2\)

Taking the square root, we find:

v = √156.25\(m^2/s^2\)

v ≈ 12.5 m/s

Therefore, the car is moving at approximately 12.5 meters per second.

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The speed of the artillery shell when it hits its target is 100 m/s.

Given:

Initial vertical displacement (y) = 200 m

Vertical displacement at 100 m in the air (y') = 100 m

Final velocity in the vertical direction (vy') = 0 m/s (at the highest point of the trajectory)

Using the equation for vertical displacement in projectile motion:

y' = vy^2 / (2g),

where g is the acceleration due to gravity (approximately 9.8 m/s^2), we can solve for the initial vertical velocity (vy).

100 m = vy^2 / (2 * 9.8 m/s^2),

vy^2 = 100 m * 2 * 9.8 m/s^2,

vy^2 = 1960 m^2/s^2,

vy = sqrt(1960) m/s,

vy ≈ 44.27 m/s.

Now, since the horizontal motion is independent of the vertical motion, the horizontal speed of the shell remains constant throughout its trajectory. Therefore, the speed of the shell when it hits its target is 100 m/s.

Hence, the speed of the artillery shell when it hits its target is 100 m/s.

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The temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×10⁴ Pa is approximately 14.3°C.

Using the ideal gas law, we can write: PV = nRT, where P is the pressure, V is the volume, n is the number of moles of gas, R is the gas constant, and T is the absolute temperature. Since the mass of air is not changing, we can write: PV = constant.

Applying this to the situation where the air mass rises to a level where the pressure is 8.70×10⁴ Pa, we get:

Dividing the second equation by the first and using the fact that γ=Cp/Cv=1.40 for air, we get:

Solving for T2, we get:

Thus, the temperature of the air mass when it has risen to a level at which atmospheric pressure is only 8.70×10⁴ Pa is approximately 14.3°C.

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work done remain constant at zero is correct statement If you push twice as hard against a stationary brick wall.

amount of work done = force*displacement

if u increase the force but there is no displacement , then amount of work done will remain zero

The definition of work done includes both the forces applied to the body and the total displacement of the body.

Positive Work: A force does positive work when it moves an object in that direction. The motion of a ball falling toward the earth, where the displacement of the ball is in the direction of the force of gravity, serves as an illustration of this type of work.

Negative Work: The work is thought to be negative when the force and displacement are in the opposite directions.

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Givens.

• The initial velocity is 2.62 m/s.

It's important to notice that the velocity of the coin at its maximum height point is zero because the coin will stop instantaneously to then go down. Also, the acceleration due to gravity is g = 9.8 m/s^2.

Use a formula that relates, initial velocity, final velocity, gravity, and height.

Where v_0 = 2.62 m/s, v_f = 0, and g = 9.8 m/s^2.

Therefore, the height is 0.35 meters.

At the moment the coin is in Rex's hand again, the velocity is 2.62 m/s because the movement is symmetrical, which means the movement downwards develops the same magnitudes but in opposite direction.

(A)

Explanation:

There is no acceleration along the x-axis. Acceleration only occurs along the y-axis.

Answer:

Explanation:

The kinetic energy (KE) of an object can be found by using the formula

\(k = \frac{1}{2} m {v}^{2} \\ \)

m is the mass

v is the velocity

From the question we have

\(k = \frac{1}{2} \times 200 \times {30}^{2} \\ = 100 \times 900\)

We have the final answer as

Hope this helps you

Answer:

When it hits a wooden target, the ball exerts a force on the fibers in the wood, splintering. First, heavier objects that are moving have more kinetic energy than lighter ones: a In equation form: kinetic energy (joules) = 1/2 x mass (kg) x velocity2 (m/s)  Note that: 200 kg-m2/s2 = 200 (kg-m/s2) x m = 200 N x m = 200 joules.

Explanation:

The advantage that the runner nearest the gun in the 100-meter dash might have is known as  the "reaction time advantage."

A reaction time advantage is known to allow runners in a race  to be agile and efficient when it comes to responding to stimuli in situations like driving, playing sports, or even having a conversation.

It is believed that the runner closest to the gun has a shorter distance for the sound wave to travel which might result in a slightly quicker reaction time in comparison to the other runners.

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