An adventurer pulls a loaded sled with a mass of 56kg along a horizontal meadow at a constant speed. The coefficient of kinetic friction between the sled and the grass is 0.45 and the angle of the rope between the sled and the adventurer is 55 degrees. What is the tension in the rope?

Answers

Answer 1

Final answer:

To find the tension in the rope, we first calculate the force of friction as 246.96N, and then using the angle of the rope, we find the tension required to move the sled at a constant speed to be approximately 431.79N.

Explanation:

An adventurer pulls a loaded sled with a mass of 56kg along a horizontal meadow at a constant speed. The coefficient of kinetic friction between the sled and the grass is 0.45 and the angle of the rope between the sled and the adventurer is 55 degrees. To find the tension in the rope, we first calculate the force of friction, which opposes the motion of the sled, and then use this to find the tension in the rope taking the angle into account.

The force of friction (Ffriction) is calculated using the formula: Ffriction = μ * N, where μ is the coefficient of kinetic friction and N is the normal force. In this scenario, since the sled is on a horizontal surface, the normal force is equal to the weight of the sled (mass × gravity), which is 56kg × 9.8m/s2 = 548.8N. Therefore, Ffriction = 0.45 × 548.8N = 246.96N.

Because the sled moves at a constant speed, the tension's horizontal component (Tx) offsets the force of friction. The tension in the rope also has a vertical component (Ty) affecting the normal force, but it doesn't affect the calculation for the force needed to maintain constant speed on a horizontal surface. The tension T can be found using the component form: Tx = T × cos(θ). Rearranging this for T, we get T = Tx / cos(θ) = 246.96N / cos(55°), which calculates to approximately 431.79N.


Related Questions

How much electrical potential energy is stored in a capacitor that has 8.0 × 10-10 C of charge on each plate and a potential difference across the plates of 20.0 V?

A. 1.0 × 10-11 J
B. 8.0 × 10-9 J
C. 4.0 × 10-9 J
D. 2.0 × 10-11 J

Answers

THere is a standard relationship that gives this result where the capacity of the capacitor is used:
[tex]E=1/2* \frac{Q^2}{C}[/tex].
We know though that Q/c=V and thus we can use the relationship:
E=Q*V/2 where we have just substituted in. If we also take into account that Q=VC, we can also get that E=V^2*C/2.
We are given the charge and the potential, so the best expression to use is the middle one.
Substituting, we get that E=1/2*8*10^(-10)*20=8*10^(-9).

The answer is B

The electrical potential energy stored in a capacitor is found using the formula U = QV / 2. For a charge of 8.0 × 10⁻¹⁰ C and a potential difference of 20.0 V, the energy stored is 8.0 × 10⁻⁹ J, which corresponds to option B.

To find the electrical potential energy (U) stored in a capacitor, we use the formula:
U = QV / 2
where
Q is the charge on one plate and
V is the potential difference across the plates.

Given a charge (Q) of 8.0 × 10⁻¹⁰ C (coulombs) and a potential difference (V) of 20.0 V (volts), we can calculate the energy stored as follows:

U = (8.0 × 10⁻¹⁰ C)
× (20.0 V) / 2
= 160 × 10⁻¹⁰ J / 2
= 80 × 10⁻¹⁰ J
= 8.0 × 10⁻⁹ J

Therefore, the correct option for the energy stored in the capacitor is B. 8.0 × 10⁻⁹ J.

If the density of the full can is 1.1 g/cc, what is its mass? Show work

Answers

[tex] V_{can} = A_{base} * h[/tex]
[tex] V_{can} = 40 cm^{2} * 12 cm = 480 cm^{3}[/tex]

[tex]mass = D * V[/tex]
[tex]mass = 480 * 1.1 = 528 cc[/tex]

Which of the following is true about semi-conductors: A. Exposing a crystal of a semiconductor to heat or light starts displacing valence electrons which then move throughout the crystal B. A material is classified as a semiconductor if its resistance to the flow of electric current is too low to permit it to be called a conductor C. Neither free electrons nor holes are considered charge carriers in a semi-conductor D. Gold and silver are important semiconductors

Answers

B. A material is classified as a semiconductor if its resistance to the flow of electric current is too low to permit it to be called a conductor.

Semiconductors contain a forbidden gap between the valence band and the conduction band, in which electrons energy levels are not allowed. The resistance of semiconductors decreases as their temperatures increases, which is opposite to how metals or other conductors behave.

Semi-conductors: option (A), Exposing a crystal of a semiconductor to heat or light starts displacing valence electrons which then move throughout the crystal.

What are semi-conductors?

Semiconductors are materials that have a conductivity between that of an insulator and a conductor. This means that they can conduct electricity, but not as well as conductors like copper or gold. Semiconductors are important for many electronic devices, including computers, cell phones, and solar cells.

When a semiconductor is exposed to heat or light, it can cause valence electrons to be displaced from their atoms. These electrons are then free to move throughout the crystal, which allows the semiconductor to conduct electricity. This process is called semiconductor doping.

Therefore the correct answer is option A.

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Question: You have an apple tree that produces high-quality apples in large numbers. The tree is also resistant to a number of harmful conditions and pests. Which is the best way to grow more such trees in your orchard?
Options:

A. grafting
B. greenhouse technology
C. layering
D. tissue culture

Answers

Final answer:

The best method for growing more trees with identical traits to an original apple tree would be grafting. This technique allows the same desirable traits, such as pest-resistance and high-quality fruit production, to be replicated in new trees.

Explanation:

To produce more apple trees with the same high-quality fruit as your original tree, the best method would be A. grafting. Grafting is a horticultural technique where tissues of one plant are joined to those of another so that the two sets of vascular tissues may join together. This is commonly used in asexual propagation of apple trees and other commercially grown crops to replicate desired qualities. The grafted new apple trees would share the same genetic makeup and hence, inherit the desirable traits like pest-resistance, large amounts of high-quality fruit production as the original apple tree.

Methods like greenhouse technology, layering, and tissue culture can also be used to grow more trees, but grafting is most efficient and commonly used when you want to replicate the exact traits of a particular tree such as your high-yielding apple tree.

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Which statements can be supported by using a position-time graph? Check all that apply.

A negative slope results when an individual is moving toward the origin.
A straight line on the graph means the individual is moving at the same velocity.
A positive slope results when an individual is moving away from the origin.
The slope of the line gives the velocity of the individual.
The speed of an individual cannot be determined from this type of graph

Answers

A negative slope results when an individual is moving toward the origin.

This statement is correct because slope of position time graph always represents velocity and since slope is negative then it shows the velocity is towards negative direction here.

Negative direction velocity is always towards origin as it is towards negative X axis.

A straight line on the graph means the individual is moving at the same velocity.

This statement is correct because when graph is a straight line then it shows that slope of the graph will remain constant and since the slope of the graph means velocity so it means velocity will always remain constant in this case.

A positive slope results when an individual is moving away from the origin.

This statement is correct because slope of position time graph always represents velocity and since slope is positive then it shows the velocity is towards positive direction here.

Positive direction velocity is always away from origin as it is towards positive X axis.

The slope of the line gives the velocity of the individual.

This statement is correct because slope of position time graph always represents velocity.

A cart moves along a track at a velocity of 3.5 cm/s. When a force is applied to the cart, its velocity increases to 8.2 cm/s. If it takes the cart 1.5 seconds to reach 8.2 cm/s, what is the acceleration of the cart? Round your answer to the nearest tenth. cm/s2

Answers

The first thing we are going to do for this case is write the equations of movement of the car.
 We have then:
 vf = a * t + vo
 Substituting values:
 8.2 = a * (1.5) + (3.5)
 Clearing the acceleration we have:
 a = (8.2-3.5) / (1.5)
 a = 3.1 m / s ^ 2
 Answer: 
 the acceleration of the cart is: 
 a = 3.1 m / s ^ 2
Final answer:

The acceleration of the cart, given an initial velocity of 3.5 cm/s and a final velocity of 8.2 cm/s over a time period of 1.5 seconds, is approximately 3.1 cm/s².

Explanation:

The question is looking for the acceleration of a cart when a force is applied to it. Acceleration is the rate at which an object changes its velocity. In this case, the initial velocity of the cart is 3.5 cm/s and the final velocity is 8.2 cm/s. This gives a change in velocity (Δv) of 8.2 cm/s - 3.5 cm/s = 4.7 cm/s. The time it takes for this change (Δt) is provided as 1.5 seconds. So, the acceleration (a) can be calculated using the formula a = Δv / Δt. Substituting the values we get, a = 4.7 cm/s / 1.5 s = 3.13 cm/s². After rounding to the nearest tenth, the acceleration of the cart is 3.1 cm/s².

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In the following diagram, the clockwise torque is equal to _____.




10 Nm

80 Nm

400 Nm

500 Nm

Answers

The answer to this question is 80m.

In the following diagram, the clockwise torque is equal to 80 N-m.

What is torque?

The force that can cause an object to rotate along an axis is measured as torque. Similar to how force accelerates an item in linear kinematics, torque accelerates an object in an angular direction. A vector quantity is a torque.

Torque is defined as Γ=r×F=rFsin(θ). In other words, torque is the cross product of the force vector, where 'a' is the angle between r and F, and the distance vector (the distance between the pivot point and the place where force is applied).

In the following diagram, the clockwise torque is equal to 80 N-m.

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If you push for an hour against a stationary wall, you do no work

Answers

Final answer:

No work is done when pushing against a stationary wall because in physics, work requires force and displacement, and the wall does not move. The incorrect idea concerning the tennis ball involves a misunderstanding of force and energy transfer upon impact with the wall. Therefore, the correct option is B.

Explanation:

If you push for an hour against a stationary wall, you do no work at all (Option B). This might seem counterintuitive because pushing against a wall requires effort and you can feel tired as a result. However, in physics, work is defined as the transfer of energy, and it requires both a force and displacement in the direction of the force. Since the wall does not move, there is no displacement, and therefore, no work is done on it. Even though energy is consumed by the person pushing the wall, it is not transferred to the wall, thus fulfilling the requirements of the definition.

In the scenario of hitting a tennis ball against a wall, the incorrect idea is that the ball loses part of the force when it hits the wall and hence doesn't bounce back as fast. However, it's not the force that is being transferred and lost, it's the energy of the ball that is converted into other forms, like sound or heat, upon collision. The muscles in your arm do initiate the force that propels the ball, but forces in this context are a result of the interactions between objects and not just from muscles.

How does the sun's energy most directly influence precipitation in an area?

Answers

Final answer:

The Sun's energy directly influences precipitation by driving the water cycle, where solar warmth causes evaporation, and cooled water vapor in the atmosphere condenses into clouds leading to precipitation. Warmer air holds more moisture, making regions like the tropics receive more rainfall, while areas around 30 degrees latitude are drier.

Explanation:

How the Sun's Energy Influences Precipitation

The Sun's energy directly affects precipitation by driving the water cycle on Earth. Solar energy heats water in oceans, rivers, and lakes causing it to evaporate into water vapor. This evaporated water rises and cools in the atmosphere, where it condenses into clouds. The temperature of the air plays a crucial role in the capacity to hold water vapor; warmer air can hold more moisture. Consequently, areas such as the tropics, which experience high temperatures, usually have higher amounts of precipitation because the warm air rises and cools, leading to frequent rainstorms.

Conversely, regions around 30 degrees north and south latitude, such as the major deserts, receive less precipitation partly due to descending air conditions that produce warmer, drier air. The sun's energy not only influences evaporation rates but also impacts wind and air mass movements, which in turn affect precipitation patterns globally.

Overall, changes in atmospheric water vapor content, evaporation rates, and wind patterns all interplay to determine specific precipitation events, and the Sun's energy is a fundamental driver of these processes.

Radiation, conduction, and convection are methods of energy transfer. Of these methods, radiation is the only one in which energy can be transferred through _______.
also explain im not so sure about this stuff ^-^
A. matter.
B. liquids.
C. solids.
D. space.,

Answers

Space.Energy can pass through the space only by radiation. In space there is no matter, liquids or solids to pass energy. The sunlight passes through space and reach earth and other planets in the form of radiation. Radiation is the transmission of energy in the form of electromagnetic waves which needs no medium.

Answer:

D. space.

Explanation:

How many planets are there?

Answers

Hi there!

Assuming you're asking about the solar system, there are nine planets. But, if you're wanting to know about the universe, there are trillions and trillions of planets (most of which we haven't yet discovered). 

Hope this helps!
It would be 8 (in our solar system)
Mercury, Venus, Earth :D, Mars, Jupiter, Saturn, Uranus, and Neptune.

Many people believe Pluto is a planet, but it's been made official in 2006 that it should be dubbed a dwarf planet

It is typical for people in hypnotic trances to temporarily __________.

Answers

It is typical for people in hypnotic trances to temporarily __________.A.begin speaking languages they do not knowB.lose track of their immediate surroundingsC.become aware of past lives and buried memoriesD.feel completely paralyzed and unable to act 
 The Answer is B


Answer:

The correct answer is "lose track of their immediate surroundings".

Explanation:

I had to look up the options on this question. When people enter into hypnotic trances they often temporarily lose track of their immediate environment. This happens because the hypnotic trance is a psychological mechanism in which the person abandons himself to certain external or internal conditions and experiences an altered state of consciousness, in which he cannot discern his environment.

Have a nice day!

Can you help me with a Chemistry question? I will give a medal and become a fan of the person with the BEST answer

Which of the following elements is most likely to form an ion that will then form an ionic bond with an ion of a Group 1A element?
A) Pt
B) I
C) Fr
D)Be,

Answers

The answer is I (Iodine). As Iodine is a halogen (Group VII), it really wants to complete its orbital shell, and a group 1A element provides a single free electron that would form a very strong bond (as they are on opposite sides of the periodic table). The other answers are two metals, which doesn't fit, and the other is another Group 1A element which is strongly reactive by nature of its higher period.

What particles exist within plasma that do not exist in other states?

A. molecules

B. atoms

C. free electrons

D. free neutrons

**what do you think? thank you!:),

Answers

C. free electrons. Plasma is made up of atoms. The atoms have had some or all of the electrons stripped away. The nuclei are positively charged and are called ions. The ions roam freely. Gases are made up of both molecules and atoms.

A charge of 50 µC is pushed by a force of 25 µN a distance of 15 m in an electric field. What is the electric potential difference? Recall that Fe = qE.

Answers

Electric potential differnce is defined as:
[tex]\Delta V=\int_{a}^{b}E\cdot dl[/tex]
If we asume the electric field is constant we get:
[tex]\Delta V=\int_{a}^{b}E\cdot dl=E\Delta L[/tex]
We need to calculate the electic field strenght:
[tex]F=qE\\ [/tex]
[tex]E= F/q\\ E=\frac{25\cdot 10^{-6}}{50 \cdot 10^{-6}}=0.5 \frac{V}{m}[/tex]
We can now calculate the potential difference:
[tex]\Delta V=E\Delta L=0.5 \frac{V}{m}\cdot15m=7.5V[/tex]

Answer:

ΔV = 7.5 V

Explanation:

How does refraction support the particle theory of light? Particles bounce off surfaces similar to the way in which a ball bounces off a wall. Light slows down and bends when it moves from a less dense to a more dense medium. Forces act on the particles to push or pull them from one medium to another. As light passes through an opening, it spreads out in all directions.

Answers

Answer: The correct answer is "Forces act on the particles to push or pull them from one medium to another".

Explanation:

Refraction: It is the phenomenon in which light gets bend while travelling from one medium to the another due to change in the speed of light.

In this phenomenon, the light gets bend towards the normal when the light rays is travelling from rarer medium to denser medium. The light gets bend away from the normal when the light rays is travelling from denser medium to rarer medium.

Reflection: It is the phenomenon in which the light rays bounce back from the surface without getting absorbed.

Therefore, the correct option is "Forces act on the particles to push or pull them from one medium to another".

The refraction supports the particle theory of light by the statement as  Forces act on the particles to push or pull them from one medium to another.

What is the definition of refraction?

The phenomenon bending of a wave as it crosses from one medium to another is said to be refraction. The difference in density is the cause of the bending.

Refraction is a term that is used to describe the phenomenon of refraction. The change in direction of a wave traveling from one medium to another is known as refraction.

The refraction supports the particle theory of light by the statement as  Forces act on the particles to push or pull them from one medium to another.

Hence the third statement is correct.

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A 250-m-wide river flows due east at a uniform speed of 2.8m/s. a boat with a speed of 8.6m/s relative to the water leaves the south bank pointed in a direction 30o west of north. what is the (a) magnitude and (b) direction of the boat's velocity relative to the ground? give the direction as the angle of the velocity from due north, positive if to the east and negative if to the west. (c) how long does it take for the boat to cross the river?

Answers

1050 hopes this helps

The scientific method includes _____. experimentation analysis of data research all of the above

Answers

The scientific method includes _____. experimentation analysis of data research all of the above

D.

Answer: Fourth option is correct i.e. all of the above.

Explanation:

Scientific method is a procedure  of research where firstly problem is identified for which essential data is collected and then relevant hypothesis is formed and it is further tested.

So, It includes research, experimentation and observation, then analysis of data and formed hypothesis and tested it.

Hence, Fourth option is correct i.e. all of the above.

How long will it take to travel 200 km traveling 100 m/s?

Answers

Convert: 1km = 1000 m 200000 m * 0.01 s/m = 2000 s or 33 minutes and 20 seconds.
Final answer:

In physics, the speed = distance/time formula allows us to calculate that a distance of 200,000 meters (or 200 km) at a speed of 100 m/s will take 2000 seconds to travel.

Explanation:

The question you're asking is rooted in the physics concept of speed, distance, and time. The relation between these three is often represented by the formula: speed = distance/time. Here, you're given the speed (100 m/s) and the distance (200 km) and are asked to find the time.

First off, we need to convert the units so they match. Converting 200 kilometers into meters gives us 200,000 meters. Now, we simply rearrange the formula to solve for time, so we have time = distance/speed. Plugging in the values, we have time = 200,000m / 100 m/s.

The m (for meters) cancels out in the numerator and denominator, leaving us with: time = 2000 seconds. Therefore, it will take 2000 seconds to travel a distance of 200 km at a speed of 100 m/s.

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What method of separation would work best on a homogeneous mixture salt water?

Select all that apply.
A) filtration
B) distillation
C) evaporation
D) screening

Answers

The appropriate answer is c. evaporation. Evaporation is the process by which a liquid changes to a gas and in this case is the best way to remove the water from the homogenous mixture. The reaction can be sped up by heating the mixture. All the water will eventually evaporate leaving behind the sodium chloride crystals as a precipitate.
Filtration works best on mixtures that have precipitates and distillation is for separating liquids with different boiling points.

A raft with the area A , thickness= h and the mass 600 kg, Floats in still water with 7 cm
under the water surface. When Bubba stands on the raft it sinks down further in the water so
the raft is 8.4 cm under the water surface. What is Bubba's mass?,

Answers

In this problem, we need to solve for Bubba’s mass. To do this, we let A be the area of the raft and set the weight of the displaced fluid with the raft alone as ρwAd1g and ρwAd2g with the person on the raft, where ρw is the density of water, d1 = 7cm, and d2= 8.4 cm. Set the weight of displaced fluid equal to the weight of the floating objects to eliminate A and ρw then solve for m.

ρwAd1g = Mg

ρwAd2g = (M + m) g

d2∕d1 = (M + m)/g

m = [(d2∕d1)-1] M = [(8.4 cm/7.0 cm) - 1] (600 kg) =120 kg

This means that Bubba’s mass is 120 kg.

A grapefruit falls from a tree and hits the ground 0.89 s later. how far did the grapefruit drop? what was its speed when it hit the ground?

Answers

1) The free fall motion of the grapefruit is an uniformly accelerated motion, with constant acceleration equal to [tex]g=9.81 m/s^2[/tex], therefore the distance covered by the grapefruit in a time t is equal to
[tex]S= \frac{1}{2}gt^2 [/tex]
Substituting [tex]t=0.89 s[/tex], we get how far the grapefruit dropped:
[tex]S= \frac{1}{2}(9.81 m/s^2)(0.89s)^2=3.89 m [/tex]

2) The speed at time t in an uniformly accelerated motion of free fall is given by
[tex]v(t)=v_0 + gt[/tex]
where [tex]v_0[/tex] is the initial speed, that in this case was zero. Therefore, using t=0.89 s we can find the speed just before the grapefruit hits the ground:
[tex]v(0.89 s)=gt=(9.81 m/s^2)(0.89s)=8.7 m/s[/tex]

What is a lack of physical, social, or economic access to safe and nutritious foods called? A) famine B) food security C) food shortage D) food insecurity

Answers

food insecurity, because you are only lacking safe and nutritious food. It would be famine if you had no food whatsoever, and it would be a food shortage if you were lacking a small amount of ALL food

The  lack of physical, social, or economic access to safe and nutritious foods called food insecurity. The lack of food by a small amount is called food shortage.

What is food insecurity ?

The lack of physical, social, or economic access to safe and nutritious foods is what is called food insecurity. Long-term or transient food insecurity are both possible.

A variety of variables, such as income, employment, race/ethnicity, and handicap, may have an impact. When there is little or no money to buy food, there is a greater chance of food insecurity.

In 2020, 28.6% of low-income households experienced food insecurity, compared to 10.5 % nationally. 2 The level of food security within a household might suffer as a result of unemployment.

Among low-income communities, high unemployment rates make it more challenging to cover basic food demands for households. 10 Additionally, compared to kids with working parents, kids with unemployed parents had greater rates of food insecurity.

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18. Which properties of light define light as a wave? (Points:5)

Answers

Light is part of the electromagnetic spectrum, in which electrical particles vibrate up and down.

Answer:

Light is an electromagnetic radiation. It has both particle and wave nature. As a wave, light has amplitude, wavelength and frequency. These factors define a wave. Also, light undergoes interference and diffraction which are wave phenomena. On the other hand, light some times behaves as a particle. It is composed of photons. Each photon is a quanta of energy. Photoelectric effect can be explained on the basis of particle behavior of light.

A source vibrating at constant frequency generates a sinusoidal wave on a string under constant tension. If the power delivered to the string is doubled, by what factor does the amplitude change?
a. a factor of 4
b. a factor of 2
c. a factor of √2
d. a factor of 0.707
e. cannot be predicted

Answers

The amplitude of a sinusoidal wave on a string increases by a factor of \\u221A2 when the power delivered to the string is doubled, because power is proportional to the square of the amplitude. The correct option is c.

The student asked about the change in amplitude of a sinusoidal wave on a string when the power delivered to the string is doubled. According to the relationship between power and amplitude, power in a sinusoidal wave is proportional to the square of the amplitude. Therefore, if power is doubled, the amplitude of the wave would increase by the square root of 2, because power is the square of the amplitude. Hence, if the amplitude were to be increased so that the power doubles, it means amplitude must increase by a factor that, when squared, gives 2. This is the square root of 2.

Therefore, the correct answer to the question is:
c. a factor of \\(\sqrt{2}\\).

Which of the following statements is true of planetary movement in our solar system?
A. Only the first three planets revolve around the Sun.
B. The Earth and planets all revolve around the Earth's moon.
C. The Sun revolves around the Earth and other planets.
D. The Earth and other planets revolve around the Sun.

Answers

The Earth and all the other planets in the solar system, as
well as the asteroids, comets, and all the other Kuiper Belt
objects and Oort Cloud objects, all revolve around the sun. 
(choice-D)
Final answer:

The correct statement about planetary movement is that the Earth and other planets revolve around the Sun. This follows Kepler's first law, which states that planets move in elliptical orbits with the Sun at one focus. The geocentric model has been debunked in favor of the heliocentric model.

Explanation:

The true statement about planetary movement in our solar system is D. The Earth and other planets revolve around the Sun. The solar system consists of eight planets, including Earth, all of which orbit the Sun. Moreover, these planets follow Kepler's first law of planetary motion, which states that each planet moves around the Sun in an orbit that is an ellipse, with the Sun at one focus of the ellipse. These orbits are not centered directly on the Sun, but the Sun occupies one of the foci of the orbital ellipses.

Contrary to historical belief, we now understand through the work of Nicolaus Copernicus and the further confirmation by Johannes Kepler's laws that the geocentric model (Earth-centered universe) is incorrect, and that the heliocentric model (Sun-centered universe) accurately describes our solar system. This heliocentric model is supported by extensive observations and laws, such as those formulated by Kepler, and has been a fundamental concept in astronomy for centuries.

The closeness of measured values to an accepted value is the BLANK of the data ?

Answers

When you refer to how close a measured value is to a standard, accepted or known value, you are talking about the ACCURACY of the data. This is the definition of accuracy when it comes to engineering and other fields of science. 

Accuracy is usually associated or with the term precision, as their definitions are often interchanged.

A planet (or comet) will speed up as it approaches the sun

a. True

b. False

Answers

a. True

The sun's gravity pulls the comet closer faster and faster, making it gain speed.

Hope this helps!

If a planet is closer to the sun, the gravitational force of the sun will get stronger on it and the planet will speed up. Therefore, the given statement is correct.

How sun have gravitational force?

Planets revolve around the Sun the way the Moon revolves around the Earth in a solar system. Gravitational force can be described as a force that pulls objects. Therefore, Sun's gravity pulls on the planets the same as the Earth's gravity pulls down things that are not held up by some other force.

Heavier objects form a bigger gravitational pull than lighter ones thus the Sun acts with the strongest gravitational pull.

The gravitational field of a body is determined by two things: the mass of the body and the distance. Thus, the gravity of the Sun holds up to 9 planets and some dwarf planets.

The gravitational pull of the Sun is approximately 25 times greater than the Earth. The gravity of the sun pulls the planet toward itself changing the direction of the orbit into a curve.

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energy transformation occurs as energy changes from one form to another. as these transformation occurs, which of the following happens?

Answers

Energy transformations occur all the time. Because energy is always conserved during reactions, it transforms from one type of energy to another. Energy usually produces another type of energy like how chemical energy transforms into electrical energy in a battery. And when that battery is connected to a circuit, it powers an appliance like a light bulb which then turns that energy into light energy. All these transformations have also one thing in common when they are transformed, heat is given off. 

A guitar string has a linear density of 8.30 ✕ 10−4 kg/m and a length of 0.660 m. the tension in the string is 56.7 n. when the fundamental frequency of the string is sounded with a 196.0-hz tuning fork, what beat frequency is heard?

Answers

First of all, we need to find the fundamental frequency of the string.

The fundamental frequency of a string is given by:
[tex]f_1 = \frac{1}{2L} \sqrt{ \frac{T}{\mu} } [/tex]
where L is the length of the string, T the tension and [tex]\mu [/tex] the linear density.
Using the information given in the exercise: L=0.660 m, T=56.7 N and [tex]\mu =8.30 \cdot 10^{-4} kg/m[/tex], we find
[tex]f_1 = \frac{1}{2\cdot 0.660 m} \sqrt{ \frac{56.7 N}{8.30 \cdot 10^{-4}kg/m} }=198 Hz [/tex]

The beat frequency is given by the difference in frequency between the fundamental frequency of the string and the tuning fork (196 Hz), so it is:
[tex]f_b = 198 Hz - 196 Hz = 2 Hz[/tex]
Ans: Beat Frequency = 1.97Hz

Explanation:
The fundamental frequency on a vibrating string is 

[tex]f = \sqrt{ \frac{T}{4mL} } [/tex]  -- (A)

here, T=Tension in the string=56.7N,
L=Length of the string=0.66m,
m= mass = 8.3x10^-4kg/m * 0.66m = 5.48x10^-4kg 


Plug in the values in Equation (A)

so [tex]f = \sqrt{ \frac{56.7}{4*5.48*10^{-4}*0.66} }[/tex] = 197.97Hz 

the beat frequency is the difference between these two frequencies, therefore:
Beat frequency = 197.97 - 196.0 = 1.97Hz
-i
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