Uranus' moon Ariel shows considerable surface activity, a surprise considering its small size.

a. True
b. False

Work done to accelerate from rest to speed of 8 m/s = 2496 Joules

According to the work-energy theorem, the net work performed by forces acting on an item equals the change in kinetic energy.

According to the given information

Using the work - energy theorem,

work done is defined as the change in the kinetic energy  \($\mathrm{W}=\frac{1}{2} \mathrm{mv}^2-\frac{1}{2} \mathrm{mu}^2\)= \(\frac{1}{2} \mathrm{~m}\left(\mathrm{v}^2-\mathrm{u}^2\right)$\)

given

\($\mathrm{m}\) =78 \(\mathrm{~kg}$\)

\($u=0 \mathrm{~m} / \mathrm{s}$\)

\($v=8 \mathrm{~m} / \mathrm{s}\)

Hence

\($\mathrm{W}=\frac{1}{2} 78\left(8^2-0^2\right)$\)

\($\Rightarrow \mathrm{W}=\frac{1}{2}(78)(64)$\)

\($\Rightarrow \mathrm{W}=2496 \mathrm{~J}$\)

Work done to accelerate from rest to speed of 8 m/s = 2496 Joules

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Temperature: Higher temperatures lead to more energy and, as a result, more molecular movement and diffusion.

Why do lighter particles go more quickly than heavier ones?

The particles gather kinetic energy and accelerate as the temperature rises. The actual average speed of the particles is influenced by both their mass and temperature; at a given temperature, larger particles travel more slowly than lighter ones.

In what system do molecules have the same mean kinetic energy?

There are no interactions between gas molecules (no attraction or repulsion). For all gases at a specific temperature, the average gas kinetic energy is the same.

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The main differences between Cepheids and RR Lyrae variables is their period-luminosity relationship. Cepheids have a longer period (typically a few days to a few weeks) and a stronger correlation between their period and luminosity, meaning that brighter Cepheids have longer periods.

RR Lyrae variables, on the other hand, have shorter periods (typically less than a day) and a weaker correlation between period and luminosity. Additionally, Cepheids are more massive and younger stars, found in spiral arms of galaxies, while RR Lyrae variables are typically found in globular clusters and are lower mass, older stars.

One of the differences between Cepheids and RR Lyrae variables is their period-luminosity relationship. Cepheids have longer periods (1 to 100 days) and higher luminosities, while RR Lyrae variables have shorter periods (0.2 to 1 day) and lower luminosities. This difference makes Cepheids useful for measuring greater distances in the universe, while RR Lyrae variables are more suitable for shorter distances.

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Answer:

a) KINETIC ENERGY   K = 0.045 J , b) POTENTIAL ENERGY  U = 0.196 J ,

c)  KINETIC ENERGY  K = 9.45 10⁵ J, d) POTENTIAL ENERGY ,    U = 41.16 J ,

e) POTENTIAL ENERGY  U = 154.84 J , f)  ENERGY IS POTENTIAL    U = 9.31 J

g) energy is POTENTIAL   U = 189.336 J

Explanation:

a) The ball is moving with a speed, so it has KINETIC ENERGY

          K = ½ m v²

          K = ½ 10 10⁻³ 3²

          K = 0.045 J

b) The ball is at a given height therefore it has POTENTIAL GRAVITATORY ENERGY

           U = m g y

           U = 10 10-3 9.8 2

           U = 0.196 J

c) The ball has speed so it has KINETIC ENERGY

           K = ½ m v²

           K = ½ 2,100 30²

           K = 9.45 10⁵ J

d) The baby carriage is at a height whereby the POTENTIAL ENERGY

           U = mg h

           U = 0.200 9.8 21

           U = 41.16 J

e) the concrete block is at a height that has POTENTIAL ENERGY

           U = m g h

           U = 0.790 9.8 20

           U = 154.84 J

f) the hood has height, the ENERGY IS POTENTIAL

           U = 0.190 9.8  5

           U = 9.31 J

g) The roller coaster has height and speed, therefore the mechanical energy has a scientific part and a potential part, in general the speed at the top of the mountain is very small, so we can consider that almost all the energy is POTENTIAL

The value they give allows calculating the potential energy

            U = 9.660 9.8 2

            U = 189.336 J

The answer to all the questions on potential energy and kinetic energy have been done below;

A) We are told that the ball is rolling. An object in motion has kinetic energy. Formula for kinetic energy is;

K =  ½mv²

We have; m = 10 g = 0.01 kg and v = 3 m/s

K = ½ × 0.01 × 3²

K = 0.045 J

B) We are told that the ball is held at a height. This means it is at rest and any object at rest has Potential Energy. Formula for potential energy is;

PE = mgh

We have; m = 10g = 0.01 kg and h = 2 m

PE = 0.01 × 9.8 × 2

PE = 0.196 J

C) Like in A above, the ball is in motion. Thus, it has kinetic energy.

K = ½ × 2.1 × 30²

K = 945 J

D) The baby carriage is sitting at rest and therefore has potential energy.

PE = 0.2 × 9.8 × 21

PE = 41.16 J

E) The toy car is in motion and has kinetic energy. Thus;

K = ½ × 1.12 × 4²

K = 8.96 J

F) The cinder block is sitting at rest and has potential energy. Thus;

PE = 0.79 × 9.8 × 20

PE = 154.84 J

G) The bell is at the top of the tower and is at rest and thus has potential energy.

PE = 0.19 × 9.8 × 5

PE = 9.31 J

g) The rollercoaster is at the top at rest and so has potential energy.

PE = 9.66 × 9.8 × 2

PE = 189.336 J

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Answer:

2

1

2

1

3

1

Explanation:

I'm pretty sure these are right. you might want to go back and check the first and third, but the other 4 are right

The greater mass will have greater acceleration is a fact from second law of motion. Thus, first situation is an example of second law. Spilling of water from the glass indicates the first law , that is law of inertia.

Newton' s first law of motion states that, every body tends to continue on the state of motion or rest until an external force acts upon it. This law is called law of inertia.

Second law states that the force applied on a body is directly proportional to the mass and acceleration.

Newton's third law states that, for every action there is an equal and opposite reaction. The first statement indicates the second law of motion and water spilling indicates the law of inertia.

As the mass increases, more force to be applied and acceleration decreases with mass. Thus third situation indicates second law. The magician pulling the cloth from stationary, hence it is first law.

A rocket launches by a force applied on the space and an opposing force from the fuel make it move indicating the third law. The last situation indicates the first law. Hence, the labeling is as 2,1,2,1,3,1.

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To explain the tangent plane to the surface, `z = 53 − x² − 2y²` at the point `(3, 2, 6)`, let us first determine the partial derivatives of `z` with respect to `x` and `y`.

Partial derivative of `z` with respect to `x`, `∂z/∂x = -2x`Partial derivative of `z` with respect to `y`, `∂z/∂y = -4y`Now, let's find the gradient vector `grad z` at `(3, 2, 6)` and the value of `z` at `(3, 2)`.gradient vector `grad z = (-2x, -4y, 1)`gradient vector `grad z = (-6, -8, 1)` at `(3, 2, 6)`.Value of `z` at `(3, 2)` is given by `z = 53 - 3² - 2(2)² = 39`.

Therefore, the equation of the tangent plane to the surface `

z = 53 − x² − 2y²` at `(3, 2, 6)` is:

`z - 6 = -6(x - 3) - 8(y - 2)`

which can be written as:`6x + 8y + z = 50`Thus, the equation of the tangent plane to the surface `z = 53 − x² − 2y²` at the point `(3, 2, 6)` is `6x + 8y + z = 50`.

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Answer:

The magnitude of acceleration is 2m/s² .

Explanation:

First, you have to find the velocity as it starts to travel 200m in 10s. The formula of velocity is V = Distance/Time, then you have to substitute the values into the formula :

\(v = d \div t\)

\(let \: d = 200 \\ let \: t = 10\)

\(v = 200 \div 10\)

\(v = 20m/s\)

Next, you have to substitute the values into the acceleration formula, a = (v-u)/t where v represents final velocity, u is initial velocity and t is time taken :

\(a = \frac{v - u}{t} \)

\(let \: v = 20 \\ let \: u = 0 \\ let \: t = 10\)

\(a = \frac{20 - 0}{10} \)

\(a = \frac{20}{10} \)

\(a = 2m/ {s}^{2} \)

Answer:

Explanation:

Mass = 50kg +7kg +4kg =61 kg

Velocity = 3m/s

Momentum = mass × velocity

\(p =61\times 3\\\\p =183MLT^-^1\)

Answer:

Mass= 61 kg. Success to The homework.

Answer:

it is It will maintain its state of motion. because of newtons law states that any object in morion will stay in motion unless acted upon another force pushing against it

Explanation:

Answer:

It will maintain its state of motion.

Explanation:

Answer: C. Radio wave

Explanation:

The order of energy of electromagnetic waves from least to greatest is

Radio waves, microwaves, infrared, red, ultraviolet, x ray and gamma waves. Thus, the type of electromagnetic wave has less energy than a microwave is

C. Radio wave

The characteristics of the thermistors allow to design an experiment to analyze the dependence of resistance with temperature;

      1) We set up the circuit

      2) We look for the current of the circuit and we keep it fixed.

      3) We look for the thermistor resistances for each temperature.

      4) Plot Resistance versus Temperature.

A Thermitor is an element whose resistance changes with temperature, for example a platinum resistance.

An experiment that we can carry out to measure is to set up the attached circuit where we have:

Let's start by looking for the current in the circuit.

In thermistors, the resistance for room temperature is given, so if we measure the voltage across the fixed resistor, we can shrink the voltage across the thermistor.

           \(V_{source} = V_R + V_{therm} \\V_{therm} = V_{source} - V_R \\ i = \frac{V_{therm} }{R_{therm}}\)

This current remains fixed, since the fixed resistance is greater than the resistance of the thermistor throughout the range.

Second step.

Now we can change the temperature that is measured in the thermometer, for each temperature the voltage in the fixed resistance is measured, the resistance in the thermistor is calculated.

        \(R_{therm} = \frac{V_{source} - V_R}{i}\)  

Third step.

We end with a graph of resistance versus temperature of the curve obtained, it is possible to understand the behavior of the resistance of the thermistor with temperature.

In conclusion with the characteristics of thermistors we can design an experiment to analyze the dependence of resistance with temperature:

      1) We set up the circuit

      2) We look for the current of the circuit and we keep it fixed.

      3) We look for the thermistor resistances for each temperature.

      4) Plot Resistance versus Temperature.

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There are several objects that move in space.

There are many scenarios that demonstrate the motion of objects in space. Here are some examples:

Planetary motion: The motion of planets in the solar system is a classic example of objects in space in motion. The planets orbit around the sun in elliptical paths, with their motion governed by the gravitational pull of the sun.

Satellites: Satellites are artificial objects that are launched into space to perform various tasks, such as communication, navigation, and weather monitoring. The motion of satellites is determined by the gravitational forces of the Earth and other celestial bodies.

Asteroids and comets: Asteroids and comets are small, rocky or icy objects that orbit the sun. Their motion is also governed by the gravitational forces of the sun and other celestial bodies, and their orbits can be highly elliptical.

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Answer: is  13

Explanation:

Answer:

18m

Explanation:

The student should be 18m away from the teacher

Answer:

When a car stops suddenly, we fall forwards. This is because the upper part of our body tends to continue to be in motion due to inertia. Newton's first law of motion, sometimes referred to as the law of inertia, states that an object at rest stays at rest and an object in motion stays in motion with the same speed and in the same direction unless acted upon by an unbalanced force. When the car stops slowly, its force is lesser than when the car stops harshly. This act of unbalanced force makes the mangoes fly forward.

Explanation:

I hope this helps!

They will accelerate the same amount but in opposite directions. In physics, a collision is any event wherein or greater our bodies exert forces on each other in a pretty brief time.

The mean loose time for a molecule in a fluid is the common time between collisions. The imply unfastened path of the molecule is made of the average velocity and the mean unfastened time. these principles are used inside the kinetic concept of gases to compute shipping coefficients including viscosity.

Collision, also known as an effect, in physics, is the surprising, forceful coming collectively in direct touch of two bodies, along with, as an example,  billiard balls, a golf membership, and a ball, a hammer, and a nail head, two railroad vehicles while being coupled collectively, or a falling item and a ground.

The verb collide has roots in the Latin word collider, which comes from col- or collectively and leader, to strike or harm, like planes that collide in midair.

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The speed of a sound wave will increase if the temperature of the medium rises. (A)

Temperature affects the density of the medium through which a sound wave travels, which modifies the speed of sound. Put simply, the speed of sound in a given medium will increase as its temperature increases. Since temperature affects the speed of sound, the wavelength also varies. The wave's frequency doesn't change when it moves from one place to another. Since the speed of sound is proportional to the product of the wavelength and the frequency, a change in temperature will cause a shift in the wavelength of sound waves even if the frequency stays the same.

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The magnitude of the net force exerted by the three astronauts is 84.5 N and the rate at which the asteroid's velocity changes is 0.845 m/s².

The given parameters;

The resultant horizontal force applied by the three astronauts on the asteroid is calculated as;

Fₓ = 35cos(45) + 35cos(45) + 35cos(0)

Fₓ = 84.5 N

The rate at which the asteroid's velocity changes is calculated as;

\(F = ma = m\frac{\Delta v}{\Delta t} \\\\\frac{\Delta v}{\Delta t} = \frac{F}{m} \\\\\frac{\Delta v}{\Delta t} = \frac{84.5}{100} \\\\\frac{\Delta v}{\Delta t} = 0.845 \ m/s^2\)

Thus, the magnitude of the net force exerted by the three astronauts is 84.5 N and the rate at which the asteroid's velocity changes is 0.845 m/s².

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Here are the two claims: Because of the moon's weaker gravity, the ball has a higher inertia and moves farther. As the moon has no atmosphere, there is no air resistance to cause the ball to slow down.

The ball would fly six times further and land about 2 km (or 1.25 miles) further on the moon, where the gravity acceleration is six times smaller. A professional golfer could hit a drive on the moon this far if they had the right equipment.

On the moon, Alan Shepard of Apollo 14 played golf. He held a contingency sample extension handle with a no. 6 iron head in his hand as his "club." For personal things, each astronaut was given a set amount of weight. Shepard took the club head and three golf balls with his.

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Answer:

3149.181 N

Explanation:

the force exerted by the atmosphere can be calculated as

F = PA

Where P is the atmospheric pressure and A is the area of the sheet of paper.

The atmospheric pressure is P = 101325 Pa

And the area is equal to

A = Length x Width

A = 0.148 m x 0.210 m

A = 0.03108 m²

Because 14.8 cm = 0.148 m and 21.0 cm = 0.210 m

Now, we can calculate the force as

F = (101325 Pa)(0.03108 m²)

F = 3149.181 N

So, the force exerted is 3149.181 N

To use all the energy from consuming a small order of french fries, the person would need to climb the 11.0 m stairway approximately 17.0 times.

The energy content of the small order of french fries is given as 241.0 Cal. We can convert this value to joules since the unit of energy in the metric system is the joule (J). 1 calorie (Cal) is equal to 4.184 joules (J). To use all the energy from consuming a small order of french fries, the person would need to climb the 11.0 m stairway approximately 57 times.

Energy content of the small order of french fries:

241.0 Cal × 4.184 J/Cal = 1007.144 J

Work done to climb the stairway:

(55.0 kg) × (11.0 m) × (9.8 m/s²) = 59294 J

Number of climbs needed to use all the energy:

1007.144 J ÷ 59294 J ≈ 17.0

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Answer:

Explanation:

If dropped from a position of rest, the object will be traveling 9.8 m/s (approximately 10 m/s) at the end of the first second, 19.6 m/s (approximately 20 m/s) at the end of the second second, 29.4 m/s (approximately 30 m/s) at the end of the third second

Answer:

The graphs represent position vs time

When the graphs intersect, both students are at the same place and at the same time.  Their x and y coordinates are the same,

If two equations represent the paths of the two students, then when the lines intersect, both equations have the same solutions for x and y at that point.

Radiation that is invisible to the human eye and has low energy is typically found in the region of the electromagnetic spectrum is the infrared (IR) spectrum.

The electromagnetic spectrum encompasses a wide range of wavelengths and frequencies, with different regions corresponding to different types of radiation. The infrared spectrum lies just beyond the visible spectrum, with longer wavelengths and lower energy than visible light.

Infrared radiation is not detectable by the human eye, as it falls outside the range of wavelengths that our eyes are sensitive to. However, many devices, such as thermal cameras and infrared sensors, can detect and measure infrared radiation.

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Answer:

The constriction in the thermometer is to prevent the mercury from dropping back to the bulb when the reading is being taken. It is easier for us to take reading. It prevents the thermometric substance (Mercury or Alcohol) from running back into the bulb.

Explanation:

Hope it is helpful....

Answer:

constriction is made in a clinical thermometer because it prevents the thermometric liquid from running back into the bulb.

Ahmed should use Dish A because it has greater exposed surface area than Dish B, hence the hot water vapour from the jelly will evaporate faster and the jelly will cool faster.

Evaporation is the process through which water gains heat and escape from the liquid surface in form of vapour.

There are three basic factors that affects the rate of evaporation, and they include;

The greater the exposed surface area of the container, the greater the rate of evaporation.

The exposed surface area of Dish A is calculated as;

A = 30 cm x 45 cm

A = 1,350 cm²

The exposed surface area of Dish B is calculated as;

B = 15 cm x 40 cm

B = 600 cm²

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Answer:

C. Light does not need a medium to travel through, but since sound waves must have a medium to vibrate, sound is not created where no air is present.

Explanation:

The reason the bell is seen to vibrate but not heard is that unlike light, which does not require a medium to pass through, sound waves require an air-filled space in order to vibrate. Option C is correct.

A sound wave is produced when a medium begins to vibrate. When an entity vibrates, a pressure wave is formed, which causes sound.

Light does not need a medium to travel through, but since sound waves must have a medium to vibrate, the sound is not created where no air is present best describes why the bell is seen vibrating but not heard.

The complete question is attached.

Hence option C is correct.

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The cycle time of the entire line is 30.00528 minutes per part.

To calculate the cycle time of the entire line, we need to consider the processing times, failures, and repairs of both the milling machine and the turning machine.

For the milling machine:

Mean processing time (t0) = 15 mins

Standard deviation of processing time (sigma0) = 3 mins

Mean time to failure (MTTF) = 750 mins

Mean time to repair (MTTR) = 200 mins

For the turning machine:

Mean processing time (t0) = 15 mins

Standard deviation of processing time (sigma0) = 3 mins

Mean time to failure (MTTF) = 110 mins

Mean time to repair (MTTR) = 38 mins

We also know that the arrival rate to the milling machine is 1.2 parts/hr, with a coefficient of variation (CV) of 1.

To calculate the cycle time, we can use the following formula:

Cycle time = Processing time + Failure time + Repair time

Processing time:

The processing time is the sum of the mean processing times of the milling machine and the turning machine:

Processing time = t0 (milling machine) + t0 (turning machine) = 15 mins + 15 mins = 30 mins

Failure time:

The failure time is the inverse of the MTTF, considering the arrival rate:

Failure time = 1 / (MTTF * Arrival rate) = 1 / (750 mins * (1.2 parts/60 mins)) = 0.00111 parts/min

Repair time:

The repair time is the inverse of the MTTR, considering the coefficient of variation (CV):

Repair time = 1 / (MTTR * CV) = 1 / (200 mins * 1.2) = 0.00417 parts/min

Cycle time:

Cycle time = Processing time + Failure time + Repair time = 30 mins + 0.00111 parts/min + 0.00417 parts/min

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Answer:

d

Explanation:

Answer:

Earth absorbs heat from the sun.

Explanation:

This radiation is absorbed by greenhouse gases which then radiate energy into all directions including downwards and thereby trapping heat in the atmosphere.

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