a planet orbits a star along an elliptical path, with the star at a focus of the ellipse. the planet's path can be modeled by the ellipse shown below, centered at the origin, with a horizontal major axis. if the minimum distance from the planet to the star is 70 million km and the maximum distance is 280 million km, write the equation of the ellipse (in millions of km).

Answers

Answer 1

Equation of the ellipse is  x^2/a^2 + y^2/b^2 = 1

where an is the semi-major axis (the opposite half of the major axis) and b is the semi-minor axis (half of the minor axis).

The semi-major axis, which measures the distance from the planet's center to one of the foci, is the average of the minimum and maximum distances between the planet and the star:

(70 + 280)/2 = (175 million km)=a

The semi-major axis is equal to the square root of the product of the center-to-other-focus distance and the semi-major axis, divided by the difference between these two numbers:

105 million kilometers is equal to b = (a * 70 / (a - 70)) = 175 * 70.

Consequently, the orbital ellipse of the planet has the following equation:

x^2/175^2 + y^2/105^2 = 1

The ellipse describing the planet's orbit around the star has the following equation in millions of kilometers:

x^2/30,625 + y^2/11,025 = 1

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Related Questions

is the magnification of a lenses constant

Answers

Answer:

Explanation:

ddddddddddddddddddd

The magnification of the lens is not constant but the linear magnification of the lens is constant.

There are various factors independent of the magnification. The magnification of the lens is constant but the linear magnification of the lens is not constant. This statements means that if we are displacing the object from one location to the other then the height of the object is not changing at all. But the height's image will eventually change. It gives a different value of the magnification.

The magnification of a lens can be defined as the ratio of the height of an image to the height of an object. It is also given in terms of image distance and object distance. It is equal to the ratio of image distance to that of object distance.

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why does fraud seem to be increasing at such an alarming rate

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Due to a number of circumstances, such as the growing use of technology and the accessibility of personal information online, fraud is rising alarmingly quickly.

Fraud is increasing for a number of reasons, including:

Technology: Due to the widespread use of technology in daily life, it is now simpler for fraudsters to gain access to private data and engage in fraudulent activity. This covers social media sites, internet stores, and online banking.

Personal data: Due to the growing internet availability of personal data, it is now simpler for fraudsters to access the data they need to commit fraud. This contains names, residences, birthdates, and financial data.

Globalization: As the world has become more interconnected as a result of globalisation, fraudsters are now able to operate internationally.

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The density of oak wood is 0.75g/cm3. if we have a board of oak wood that has a length of 182 cm, a width of 15.2, and a height of 5.08cm, what is the mass of this board in grams?

Answers

The density of wood substance is about 1.5 grams per cc, and practically no differences in this value exist among species. *Based on specimens in air-dry condition (12-15% moisture content).

What is the mass in grams?

The gram (originally gramme; SI unit symbol g) is a unit of mass in the International System of Units (SI) equal to one one thousandth of a kilogram. The mass of this pen cap is about 1 gram.

Mass is always constant for a body. One way to calculate mass: Mass = volume × density. Weight is the measure of the gravitational force acting on a mass.

Here are common examples of objects that have about one gram of mass: A small paperclip. A thumbtack. A piece of chewing gum.

Weight of one mole of an element, ionic compound or molecular compound is the Gram formula mass. Avogadro number i.e. 6.023 x 1023 number of molecules or atoms (depending on the type of compound it is) is present in one mole of a substance.

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the faster your vehicle moves the less kinetic energy T/F

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The statement is false, the faster the vehicle moves the less the kinetic energy. As fast the thing in motion the highest is kinetic energy.

An object's mass and velocity both affect its kinetic energy. According to the formula for kinetic energy,

KE = 0.5 mv^2, where m is the mass of the object and v is its velocity. As the velocity of an object increases, so does its kinetic energy. This means that a faster-moving vehicle has more kinetic energy than a slower-moving vehicle with the same mass. Kinetic energy has a number of important applications in physics and engineering. For example, in mechanics, it is used to calculate the amount of work that can be done by a moving object and to analyze the behavior of objects in motion. In thermodynamics, kinetic energy is used to describe the thermal energy of particles in a substance, such as the random motion of gas molecules.

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what percentage of mass is electrons in carbon-12

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The percentage of mass is electrons in carbon-12 is 50, 02%.

What is an atomic mass unit?

Every  element's atomic mass is expressed in terms of the atomic mass unit (AMU or amu). The AMU expresses both the atomic masses and the molecular masses and is commonly  referred to as the dalton (Da) or unified atomic mass unit (u). AMU is explained  as being one-twelfth the mass of a carbon-12 atom (12C). A carbon-12 atom's mass is precisely 1/12 of an atomic mass unit. The nucleus of an atom of carbon-12 contains six neutrons and six protons. It's written as a.m.u or u. (unified). Atomic masses are expressed using this unit of mass. The average of the neutron rest mass and the proton rest mass is 1 a.m.u. The carbon-12 atom contains 6 protons, neutrons, and electrons. The mass proportion of neutrons is therefore equal to: 6x1.0087/(6x1.0087+6x1.0073+6x5.4858x10^-4)=0.50021110822=50,021110822%.

Solution: 50, 02%.

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determine the magnitude of the resultant force if f1 = 300 n and f2 = 460 n .

Answers

We must find the vector sum of f1 and f2 to calculate the magnitude of the resulting force. We may utilize the Pythagorean theorem to do this: Force produced = (f12 + f22) .

in the blanks: Resultant force = (548.47 N) = (3002 + 4602) = (90000 + 211600) = (301600) As a result, the resulting force is 548.47 N. To determine the size of the resulting force, compute the vector sum of the two forces f1 and f2. The Pythagorean theorem may be used to compute the magnitude of the resulting force: R = √(f1^2 + f2^2) R = √(300^2 + 460^2) R = √(90000 + 211600) R = √(301600) R = 550 N As a result, the magnitude of the resulting force is 550 N. We must find the vector sum of f1 and f2 to calculate the magnitude of the resulting force. We may utilize the Pythagorean theorem to do this: Force produced.

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What will the acceleration be if he pulls with the same force when the wagon contains a child whose mass is three times that of the wagon?.

Answers

The acceleration will be the same if he pulls with the same force, regardless of the mass of the child or the wagon.

Acceleration is defined as the change in velocity per unit of time and is determined by the net force acting on an object. The acceleration of an object is directly proportional to the net force acting on it and inversely proportional to its mass.

According to Newton's second law of motion, the force required to achieve a certain acceleration is equal to the mass of the object multiplied by the acceleration. So, if the force applied is constant, the acceleration will be inversely proportional to the mass of the object.

In this scenario, the child's mass is three times that of the wagon, but if the same force is applied to both, the acceleration will still be the same. This is because the net force remains constant, and since the acceleration is inversely proportional to the mass, the acceleration of the combined system (child and wagon) will remain the same.

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what percentage of the force along the finger is useful in pushing the button?

Answers

66.9% of the force along the finger is used to press the button.

In physics, a force is an influence that can change the motion of an object. A force can change the velocity of an object with mass, i.e. accelerate it. Forces can also be described intuitively by pushing or pulling. A force has both magnitude and direction and is a vector quantity.

To push button F cos 48 force is applied in vertical direction according to figure.

cos 48= 0.66913060635 which is 66.9% of force.

so this makes up 66.9% of force.

66.9% of the force along the finger is useful in pushing the button.

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which plot best represents the acceleration curve associated with the displacement and velocity curves shown above?

Answers

On this graph, a straight line with displacement a constant slope passes through the zero point (0, 0).

In physics, what is displacement?

The definition of displacement When an object moves in relation to a reference frame, for as when a passenger moves to the back of an airplane or a professor shifts to the left in relation to a whiteboard, the item's position changes. Displacement is the term for this positional alteration.

In plain English, what is displacement?

The definition of displacement is the modification of an object's position. It has a magnitude and a direction and is a vector quantity. It is shown as a arrow that travels from the initial location to the conclusion. An object might move from location A to position B, for instance.

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In processA 55J work done on the system an d85J of heat are added to the system. Find the change in the systems thermal energy

Answers

Change in thermal energy = Work done + Heat added

= 55 J + 85 J

= 140 J

So, the change in the thermal energy of the system is 140J.

What is the change in the thermal energy?

The change in the thermal energy refers to the difference in the thermal energy of a system before and after a process or a change occurs. Thermal energy is a measure of the total internal energy of a system due to its temperature, and it includes the kinetic energy of the particles and their potential energy due to their interactions.

The change in thermal energy can be positive or negative, depending on whether heat is added to or removed from the system. If heat is added to the system, the thermal energy increases, and if heat is removed from the system, the thermal energy decreases.

The change in thermal energy is a fundamental concept in thermodynamics and plays a key role in understanding the behavior of physical systems and the transfer of energy between them.

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A soccer player applies an average force of 180N during a kick. The kick accelerates a 45kg soccer
call from rest to a speed of 18 m/s. (a) What is the impulse exerted on the ball (b) What is the
collision time?​

Answers

Answer:

The impulse exerted on the ball is 180 N and the collision time is 0.15 seconds.

Explanation:

a) The impulse exerted on an object can be calculated by multiplying the force applied by the time over which it is applied:

Impulse = Force * time

We can use the equation of motion to find the time of collision:

v = u + at

where v is the final velocity, u is the initial velocity (0 m/s in this case), a is the acceleration and t is the time of collision.

Combining these equations, we have:

Impulse = m * (v - u)

= m * a * t

= m * (v - 0) / t

= m * v / t

Plugging in the values, we have:

Impulse = 45 kg * 18 m/s / t

Dividing both sides of the equation by t, we have:

180 N = 45 kg * 18 m/s / t

Solving for t, we have:

t = (45 kg * 18 m/s) / 180 N

b) The collision time can be calculated by rearranging the above equation:

t = (45 kg * 18 m/s) / 180 N

t = 0.15 seconds

So the impulse exerted on the ball is 180 N and the collision time is 0.15 seconds.

determine the maximum weight of the crate so that the tension developed in any cable does not exceed 600 lb

Answers

To determine the maximum weight of the crate so that the tension developed in any cable does not exceed 600 lb, you need to calculate the tension in each cable and make sure it does not exceed 600 lb.

This can be done by calculating the force between the crate and each cable, and then dividing by the total number of cables. For example, if the force between the crate and a single cable is 1200 lb, then the maximum weight of the crate should be 600 lb.

Therefore, if you are using multiple cables, you may be able to increase the maximum weight of the crate by distributing the weight among the cables. Additionally, the distance between the load and the attachment points of the cables affects the tension in each cable as well.

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what is the measurement of the wands' diameter in inches

Answers

The measurement of the wand's diameter in inches can vary, but typically ranges from 0.5 inches to 1 inch.

The diameter of a wand refers to the width of the wand at its widest point. In the world of magic, wands are often depicted as having different lengths and thicknesses. However, in real life, the diameter of a wand can vary based on the materials used, the intended use, and personal preferences.

For example, a wand made of lightweight materials, such as foam or plastic, may have a diameter of 0.5 inches, while a wand made of heavier materials, such as wood or metal, may have a diameter of 1 inch or more.

In terms of the intended use, a wand with a larger diameter may be easier to grip, making it suitable for stage performances, while a wand with a smaller diameter may be more suitable for close-up magic.

Ultimately, the measurement of the wand's diameter in inches is a personal preference and can vary depending on the individual's needs and desires.

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Of paper
Activity 1. 1. Spoon in and Spoon Out
In this experiment, you will be able to see how you look when you look at the
concave and convex sides of a spoon. Write your observations on a separate sheet
1. Stand in a well-lit room or outside. Hold the spoon by the handle just like
you would when you are eating but flip it over so that the back of the spoon
is facing you. Look at yourself in the curved end, what do you look like?
2. Now turn the spoon so that the back of the spoon is still facing you but the
curved part is pointing at the ceiling or sky. Have another look at yourself. ​

Answers

Basically, light waves hit different parts of the spoon at different angles, so they all bend a little differently. By the time they come back to you, they're all crooked, so you're looking upside down. It has a concave side.

A glossy spoon is like a mirror, only curved. Since the surface is perfectly smooth, it creates a mirror image, or specular reflection. However, since the spoon is curved, the direction of the reflected light depends on where it hits. This outwardly curved surface is called a convex surface. Basically, light waves hit different parts of the spoon at different angles, so they all bend a little differently. By the time they come back to you, they're all crooked, so you'll look upside down. It has a concave side.

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are 60 miles apart on reciprocal courses. if cdn 884 is traveling at 360 mph and cmm 448 is traveling at 240 mph, how long will it take until closure occurs

Answers

Time until close occurs on reciprocal courses will be 30 minutes, and we can calculate this by first finding out relative speed.

To determine the time it will take until closure occurs between two aircraft traveling on reciprocal courses, you must first calculate their relative speed. This can be done by subtracting the speed of one aircraft from the other. In this case:

The relative speed would be:

360 mph - 240 mph = 120 mph.

Next, you can use this relative speed and the distance between the two aircraft to calculate the time until closure using the formula:

Time until closure = Distance between aircraft / Relative speed

So, for the two aircraft traveling 60 miles apart and with a relative speed of 120 mph, the time until closure would be 60 miles / 120 mph = 0.5 hours or 30 minutes.

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what is the nature of the force between balls a and b?

Answers

The nature of the force between balls a and b from the diagram indicate strongly attractive.

Remember that the insulating material that makes up ball C can become polarised in the presence of an externally charged item like ball A. Because the positive and negative charges in ball C are located at slightly different average distances from ball A, there will be a weak attraction between the two balls once they are polarised. The test charge would exhibit the same response (weakly attracting), but it would interact weakly repulsively with ball A if ball C contained a very little negative charge. A smaller negative charge is not a possibility, though. Ball C must have zero net charge because the test charge T is neither powerfully attracted to nor repelled by it. There will be no force between the two balls because ball D also has no net charge.

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complete question: What is the nature of the force between balls

A and C?

a. strongly attractive

b. strongly repulsive

c. weakly attractive

d. neither attractive nor repulsive

Is there a right or wrong influence when it comes to people's own personal health?

Answers

Regarding physical health, there are definitely positive and negative influences that impact a person greatly

What is  positive and negative influences ?

"Positive affect" refers to a person's proclivity to experience positive emotions and interact positively with others and with life's challenges. In contrast, "negative affect" involves having a more negative experience of the world, feeling negative emotions, and having more negativity in relationships and surroundings.

Positive and negative numbers are given as examples. Above sea level is considered positive, while below sea level is considered negative. Temperatures below zero are considered negative. Savings are positive, while loans are negative.

Changes in the family can be unsettling and upsetting, making children feel insecure and self-conscious. They may be irritated, anxious, or depressed. These emotions can have an impact on other aspects of their lives, such as school and friendships.

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what is the value of the electric field .3 m from a square piece of metal which is 1.5 km x 2 km and has a net charge of 26 mc?

Answers

The electric field is 490 N/C.

Electric field can be considered as an electric property associated with each point in the space where a charge is present in any form. An electric field is also described as the electric force per unit charge.

The formula of the electric field of a charge sheet in terms of surface charge density σ and the formula of surface charge density are shown below:

          E = σ/2ε  and σ = q/A

Using these two, we get:

          E = q/2Aε

Where,

q = charge = 26mC = 26* 10^-3 C

A = Area of sheet = 1.5*2 = 3 km^2 = 3 * 10^3 m^2

ε = permeability = 8.85 * 10^-12

Putting these values in above equation we get: E = 490 N/C

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a 1500 kg satellite is in a stable orbit at an altitude of 4.0 × 10 5 m above earth's surface. what is the satellite's total energy in this orbit?

Answers

The satellite's total energy in its stable orbit at an altitude of 4.0 × 10⁵ m above Earth's surface is approximately -1.052 × 10¹¹ Joules, predominantly gravitational potential energy.

To calculate the satellite's total energy in this orbit.

Given:

m₁ (mass of satellite) = 1500 kg

m₂ (mass of Earth) = 5.972 × 10²⁴ kg

r (distance from center of Earth to satellite) = 4.0 × 10⁵m + 6.371 × 10⁶ m

First, let's calculate the gravitational potential energy (U):

U = -G * (m₁ * m₂) / r

U = -6.674 × 10⁻¹¹ m³ kg⁻¹ s⁻² * (1500 kg * 5.972 × 10²⁴ kg) / (4.0 × 10⁵ m + 6.371 × 10⁶ m)

Calculating this expression:

U ≈ -1.123 × 10¹¹ J

Next, let's calculate the velocity of the satellite (v):

v = sqrt(G * m₂ / r)

v = sqrt(6.674 × 10⁻¹¹ m³ kg⁻¹s⁻² * 5.972 × 10²⁴ kg / (4.0 × 10⁵ m + 6.371 × 10⁶ m))

Calculating this expression:

v ≈ 3077 m/s

Now, let's calculate the kinetic energy (K):

K = (1/2) * m1 * v²

K = (1/2) * 1500 kg * (3077 m/s)²

Calculating this expression:

K ≈ 7.096 × 10⁹ J

Finally, let's calculate the total energy (E):

E = U + K

E = -1.123 × 10¹¹J + 7.096 × 10⁹ J

Calculating this expression:

E ≈ -1.052 × 10¹¹J

Therefore, The satellite's total energy in this orbit is approximately -1.052 × 10¹¹ Joules. The negative sign indicates that the energy is gravitational potential energy dominated, as expected in a stable orbit.

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Sasha lifts a couch from the ground floor of her house to the attic. If the couch has a mass of 120 kg and is lifted 8. 2 m, then what is the energy gained by the couch?.

Answers

The change in gravitational potential energy of the couch with 120 kg mass is 9653 J.

The gravitational potential energy is defined as the energy possessed by an object due to its position above the ground. If an object is located near the surface of the earth then the change in gravitational potential energy is given by

ΔU - mgΔh

Where

m = the mass of the object

g = acceleration of gravity

g = 9.8 m / [tex]s^{2}[/tex]

Δh =  change in height of the object

For the couch in this problem, we have m = 120 kg which is its mass.

Δh = 8.2 cm

Now solving the equation, we get:

ΔU = 120 x 9.8 x 8.2 = 9653 J

The energy gained by the couch is 9653 J

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find the lagrange point between a 2×1024 kg planet and its 1×1022 kg moon. the planet and moon are 6×108 m away from each other.

Answers

The lagrange point between a 2×1024 kg planet and its 1×1022 kg moon can be calculated using formula

                        x = d (mE - [tex]\sqrt{mEmM}[/tex])

                             ________________   = 6×10⁸ ([tex]\sqrt{2×10²⁴ - 1×10²⁴}[/tex] ) / 2 * 10^24 - 1* 10 ^22

                               mE    -  mM

So, putting this formula together we get x = (3.844×108m)(0.9).

A line connecting two objects (often planets or stars) is said to have a Lagrange point when the gravitational pull of each object is equal to the other and there is no net gravitational force acting on the item in the middle. Find the Lagrange point between Earth and its moon to demonstrate this concept. Because Earth is so much heavier than the moon, we naturally anticipate that it will be closer to the moon.

Before inserting numbers, we'll complete the most of the work in algebra. We will then have a formula that we can use for other systems as a result.

Initially, the gravitational force between the Earth and a mass m object is calculated, along with the equivalent force owing to the moon.

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How much is 2 liters in cups?

Answers

The correct answer would be 8.45

In cups, 2 litres equals 8.45351 cups. To get an approximate answer, multiply the volume value by 4.227.

What is the conversion processof litres to cups?

The liter-to-cup conversion factor is 4.2267528198649, which means that 1 litre equals 4.2267528198649 cups:

1 L = 4.2267528198649 cup

To convert 2 litres to cups, multiply 2 by the conversion factor to get the volume amount from litres to cups. To calculate the result, we can also use a simple proportion:

1 L → 4.2267528198649 cup

2 L → V(cup)

To get the volume V in cups, solve the following proportion:

V(cup) = 2 L × 4.2267528198649 cup

V(cup) = 8.4535056397299 cup

As a final result of this,

2 L → 8.4535056397299 cup

We calculate that 2 litres equal 8.4535056397299 cups:

2 liters = 8.4535056397299 cups

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a coin is tossed into the air vertically upward with an initial speed of 18.5 m/s. how high does the coin go above its point of release? how long does it take for the coin to come back to its point of release?

Answers

The maximum height that the coin can reach is 17.46 meters and

The time taken to reach the coin to its initial position is 1.89 s

Given,

The coin is tossed into the air vertically upward with a speed of 18.5 m/s

Therefore, initial speed = 18.5 m/s.

acceleration acting on the coin is g m/s²

where g = 9.8 m/s²

we know,

v² - u² = 2aS          

final velocity (v) = 0      (when the coin reaches maximum height)

a = -9.8 m/s²          (g is acting opposite to the initial motion of the body)

S = the maximum height that the coin can reach

i) to find the maximum height

substitute the values in the equation

0² - (18.5)² = 2(-9.8) S

342.25 = 19.6 S

⇒ S = 342.25/19.6

S = 17.46 m

Therefore, the maximum height that the coin can reach is 17.46 meters

ii) to find the time taken for the coin to reach the initial position

we use v = u + at   where t = time taken to reach initial position

0 = 18.5 - 9.8 t

⇒ t = 18.5 / 9.8

∴ t = 1.89 s

Therefore, the time taken to reach the coin to its initial position is 1.89 s

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What are density-dependent factors?

Answers

Disease, competition, and predation are examples of factors that depend on density. Population size and density-dependent variables can be positively or negatively correlated.

What are factors independent of density?

In ecology, a density-independent factor, also known as a limiting factor, is any force that has an impact on the size of a community of living things independent of the population's density, or the number of people living in a given area.

What are factors that depend on density and those that don't?

Competition and predation are two examples of factors that can have an impact on the density-dependent regulation of birth and mortality rates. Abiotic and environmental factors, such as extreme weather and situations like fire, can have an impact on density-independent regulation. These events can also have an impact on birth and mortality rates.

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which of the following conditions represent(s) potential energy: (1) table sugar ready to be ingested, (2) a diver about to dive off the 10-meter platform at the olympics, or (3) a gerbil running on its exercise wheel in its cage?

Answers

Out of the following conditions  (2) a diver about to dive off the 10-meter platform at the Olympics represents (s) potential energy.Potential energy is energy due to the position or state of an object and is not yet released or used.

The diver has the potential to release energy when they jump off the platform. This energy can be released in the form of kinetic energy when the diver begins to move. The other two conditions do not represent potential energy. Table sugar ready to be ingested does not involve energy stored in the object itself.

The energy present must be released through the process of digestion for the energy to be used. Similarly, a gerbil running on its exercise wheel does not possess any potential energy. The energy is released in the form of kinetic energy as the gerbil moves.

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a solid cylinder with center-of-mass inertia 1 2 m r2 rolls without slipping on a horizontal surface at constant center-of-mass velocity what is the ratio between its rotational and center-of-mass kinetic energies?

Answers

The ratio of rotational kinetic energy to center-of-mass kinetic energy for a solid cylinder rolling without slipping can be found using the following equation:

K_rotational / K_cm = I_cm / mr^2 = 1 / 2

where I_cm is the rotational inertia about the center of mass, m is the mass, and r is the radius of the cylinder. So, the ratio of rotational to center-of-mass kinetic energy is 1/2.

About Kinetic Energy

Kinetic Energy or energy of motion is the energy possessed by an object due to its motion. The kinetic energy of an object is defined as the work required to move an object with a certain mass from rest to a certain speed.

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how much energy in joules does a 10-hp motor deliver in 20 minutes.

Answers

P = 10 hp = 7460 W

W = pt = 7460 × 30 × 60 J = 13.43\times { 10 }^{ 6 } J horsepower.

Just what does one horsepower mean?

horsepower, or the rate at which work is done, is the standard unit of power. According to the British Imperial System, a horsepower is equivalent to 33,000 foot-pounds of work per minute, or the force required to elevate a mass of 33,000 pounds one foot in a minute.

What makes it one horsepower?

In an effort to describe the strength of steam engines, inventor James Watt coined the term "horsepower" in the 1700s. He observed horses carefully and averaged their power output per minute.

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How far is 3,000 meters in miles?

Answers

The fundamental length unit and length in the World System of Units is the meter, or meter (symbol: m) (SI). The distance covered by light is measured in meters.

What in physics is light?

Light is the electromagnetic radiation that the human eye can perceive. From radio waves with wavelengths measured in meters to gamma rays with wavelengths shorter than around 1 10 11 meters, electromagnetic radiation occurs throughout a very broad range of wavelengths.

What is energy from light?

Light Energy Uses & Source   Its ability to make different types of sunlight visible to our sight makes light energy a type of kinetic energy. The electromagnetic radiation known as "light" is emitted by warm objects like laser, lamps

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nswer the following questions based on your observations in the lab only. explain and justify your answers to each. a. how many types of charge are there? b. could there be other type of charge?

Answers

a.There are two types of charge: positive and negative. This is based on the observation that when two objects are rubbed together, they can either become positively charged or negatively charged. Additionally, when objects with different charges are brought near each other, they experience a force that depends on their charges.

The direction of the force is attractive if the charges are opposite, and repulsive if the charges are the same. These observations have been repeatedly confirmed in many experiments and are widely accepted in the scientific community.

Charge is conserved, meaning the total charge in a closed system remains constant. When two objects are rubbed together, they can transfer electrons and become charged. Opposite charges are attracted to each other, while like charges are repelled.

b. Currently, there is no experimental evidence for the existence of a third type of charge. However, some theories beyond the standard model of particle physics propose the existence of new types of charge.

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(15 points)what is the ratio of the momentum of a particle with a rest mass mo and kinetic energy ekin to the momentum of a photon of eγ = hv (i.e. pp/pγ), for both

Answers

The momentum of a particle with rest mass mo and kinetic energy E_kin is given by the equation:

p = sqrt( (mo^2 * c^2) + (2 * mo * c^2 * E_kin / c^2) )

where c is the speed of light.

The momentum of a photon with energy E_γ is given by the equation:

p_γ = E_γ / c

The ratio of the two momenta is:

p / p_γ = sqrt( (mo^2 * c^2) + (2 * mo * c^2 * E_kin / c^2) ) / (E_γ / c)

= sqrt( (mo^2 * c^2) + (2 * mo * c^2 * E_kin / c^2) ) * c / E_γ

= sqrt( (mo^2 * c^4) + (2 * mo * c^2 * E_kin) ) / E_γ

Note that as the particle approaches the speed of light, its momentum approaches infinity, while the momentum of the photon remains constant.

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