Which of the following frictionless ramps (A, B, or C) will give the ball the greatest speed at the bottom of the ramp? Explain.

Which Of The Following Frictionless Ramps (A, B, Or C) Will Give The Ball The Greatest Speed At The Bottom

Answers

Answer 1
Let the ball is initially at point P1. Finally it reaches at point P2.( bottom most). Since only conservative force is acting on the ball throughout the motion, mechanical energy will be conserved. Therefore conserving energy from P1 to P2, Initially ball is at rest(P1). So initial kinetic energy is 0. Let ball is at height h1 initially, so initial potential energy = mgh ( m= mass of the ball). At bottom most point (P2), potential energy of ball changes into kinetic energy. So final kinetic energy =1/2 mv^2. Final potential energy = 0. Equating energies at P1 and P2, Mgh= 1/2 mv^2. Therefore, v= (2gh)^1/2. Since all the initial and final points are at same height, velocity will be same for all the paths(irrespective of the path taken by ball). So velocity will be same.
Answer 2

The frictionless ramp A will give the ball the greatest speed at the bottom of the ramp.

What is speed?

Speed is defined as the rate of change of the distance or the height attained. it is a time-based quantity. it is denoted by u for the initial speed while u for the final speed. its si unit is m/sec.

The potential energy is due to the virtue of the position and the height. The unit for the potential energy is the joule. Ball has the most potential energy due to her position at C.

The potential energy is mainly dependent upon the height of the object.

Potential energy = mgh

The potential energy gets converted into kinetic energy at the bottom. If the ramp is frictionless the potential energy completely gets converted into kinetic energy.

The kinetic energy results in the motion of the body.

Hence frictionless ramp A will give the ball the greatest speed at the bottom of the ramp.

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Related Questions

A 50.0-kg wolf is running at 10.0 m/sec. What is the wolfs kinetic energy

Answers

kinetic energy = mass time squared speed divided by 2 
W=mv^2/2 = 50*10*10/2 = 2500 J

Final answer:

The kinetic energy of the wolf is 2500J.

Explanation:

The kinetic energy of the wolf can be calculated using the formula: Kinetic Energy = 0.5 x mass x velocity^2. Plugging in the given values, we have: Kinetic Energy = 0.5 x 50.0 kg x (10.0 m/sec)^2. Solving this equation will give us the wolf's kinetic energy.

Given values:

- Mass (m) = 50.0 kg

- Velocity (v) = 10.0 m/s

Using the formula for kinetic energy:

Kinetic Energy (KE) = 0.5 x mass x velocity^2

Plugging in the values:

KE = 0.5 x 50.0 kg x (10.0 m/s)^2

Calculating the square of the velocity:

KE = 0.5 x 50.0 kg x 100.0 m^2/s^2

Now, calculate the product:

KE = 2500.0 kg m^2/s^2

The unit of kinetic energy is joules (J), so we can rewrite it as:

KE = 2500.0 J

Therefore, the wolf's kinetic energy is 2500.0 joules (J).

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what will be the acceleration due to gravity at up planet whose mass is 8 times the mass of the earth and whose radius is twice that of the earth? g=10

Answers

Hope it cleared your doubt.

Which statement is not true about electrons? Electrons have a negative charge. The orbit of electrons around the nucleus is like a cloud. The path an electron moves on is not very straight. The basic unit of matter is the electron.

Answers

 D) When there is a minimum number of electrons between atoms, there is a high probability of bonding.

Answer:

The basic unit of matter is the electron.

Explanation:

Electrons have a negative charge.

Above statement is true because electron is a negatively charged particle and its charge is given as e = [tex]-1.6 \times 10^{-19} C[/tex].

The orbit of electrons around the nucleus is like a cloud.

Above statement is true as electron forms a cloud around the nucleus and that cloud is known as orbit of electron.

The path an electron moves on is not very straight.

Above statement is true as Electron moves around the nucleus in closed loop and in this path centripetal force is given by electrostatic attraction force

The basic unit of matter is the electron.

Above statement is not correct as we know that basic unit of matter is not electron but it consist of electron, neutron and proton

The process that occurs when physical forces break rock into smaller pieces without changing the rock's chemical composition is called ____.

Answers

Mechanical Weathering
The correct answer is physical weathering, also known as mechanical weathering. An example of this would be when water falls into the cracks of a rock. It freezes during cold times and expands in size, which causes the rock to crack even more. When it melts, the crack is bigger and new water goes inside and cracks it even more, and so on and so forth.

What is the mass of an object with a density of 13.5 g/cm3 and a volume of 5cm3?

Answers

density d=m/V

mass m=d.V=13.5×5=67.5g

m=67.5g

hope this helps you

What is depth perception?

Answers

Depth perception is the way in which some animals, such as humans, can tell if a object is close or far away from them.

Explanation:

Depth perception is the ability that humans have to perceive depth. With depth perception animals are able to see something in three dimensions. The configuration of the eyes allows animals to see depth.

Having two eyes that is having binocular vision gives animals an accurate sense of depth. Animals have evolved in such a way that gives us depth perception. In order for animals to survive in a three dimensional world depth perception is vital.

what social science involves studying legal policies?

political science

history

economics

law

Answers

I believe it's political science.

Answer: law

Explanation:

Social science can be define as the scientific study of human society and their  relationship among themselves.

A law can be define as rules which is enforced over the society to regulate it's functioning, restricting the ill-legitimate activities like crime, and safeguarding the rights of the human beings, and animals.

On the basis of the above description, the law is the social science which involves the studying of the legal policies.

Please help!
Find the tension in each cord in the figure if the weight of the suspended object is w = 210N

A) Find the tension in the cord A for system (b).
B) Find the tension in the cord B for system (b).

Answers

We have to solve the system of equations:
- T a * cos 60° + T b * sin 45° - 210 N = 0
- T a * sin 60° + Tb cos 45° =  0
------------------------------------------------------
- 1/2 T a + √2 / 2 T b = 210 N
- √3 / 2 T a + √ 2 / 2 T b = 0     / * ( - 1 )
---------------------------------------------------
- 1/2 T a + √2 / 2 T b = 210 N
√ 3 / 2 T a - √2 / 2 T b = 0
----------------------------------------
T a ( √3 / 2 - 1 / 2 ) = 210 N
0.366 T a = 210 N
T a = 210 N : 0.366
1 ) T a = 573.77 N
Ta * √3 / 2 = T b * √ 2 / 2
T b = ( 573.77 * 1.732 ) : 1.4142
2 ) T b = 702.7 N 

A) Tension in the cord A ≈ 570 Newton

B) Tension in the cord B ≈ 700 Newton

[tex]\texttt{ }[/tex]

Further explanation

Newton's second law of motion states that the resultant force applied to an object is directly proportional to the mass and acceleration of the object.

[tex]\large {\boxed {F = ma }[/tex]

F = Force ( Newton )

m = Object's Mass ( kg )

a = Acceleration ( m )

Let us now tackle the problem !

[tex]\texttt{ }[/tex]

Given:

weight of the suspended object = w = 210 N

Asked:

tension in the cord A = T_A = ?

tension in the cord B = T_B = ?

Solution:

Let:

γ = 360° - 60° - 45° - 90° = 165°

α = 90° + 45° = 135°

β = 60°

[tex]\texttt{ }[/tex]

We will use Lami's Theorem in this question.

If the system is in equilibrium , then:

[tex]\large {\boxed{\frac{T_A}{\sin \alpha} = \frac{w}{\sin \gamma}}}[/tex]

[tex]T_A = w \times \frac{\sin \alpha}{sin \gamma}[/tex]

[tex]T_A = 210 \times \frac{\sin 135^o}{sin 165^o}[/tex]

[tex]T_A = 210 \times ( 1 + \sqrt{3} )[/tex]

[tex]T_A \approx 570 \texttt{ Newton}[/tex]

[tex]\texttt{ }[/tex]

[tex]\large {\boxed {\frac{T_B}{\sin \beta} = \frac{w}{\sin \gamma}}}[/tex]

[tex]T_B = w \times \frac{\sin \beta}{sin \gamma}[/tex]

[tex]T_B = 210 \times \frac{\sin 60^o}{sin 165^o}[/tex]

[tex]T_B = 210 \times \frac{1}{2}( 6 + 3\sqrt{2} )[/tex]

[tex]T_B \approx 700 \texttt{ Newton}[/tex]

[tex]\texttt{ }[/tex]

Learn moreImpacts of Gravity : https://brainly.com/question/5330244Effect of Earth’s Gravity on Objects : https://brainly.com/question/8844454The Acceleration Due To Gravity : https://brainly.com/question/4189441Newton's Law of Motion: https://brainly.com/question/10431582Example of Newton's Law: https://brainly.com/question/498822

[tex]\texttt{ }[/tex]

Answer details

Grade: High School

Subject: Physics

Chapter: Dynamics

[tex]\texttt{ }[/tex]

Keywords: Gravity , Unit , Magnitude , Attraction , Distance , Mass , Newton , Law , Gravitational , Constant

a stone is dropped into a deep well and is heard to hit the water 3.41 s after being dropped. determine the depth of the well. ...?

Answers

d = ut + 1/2 at^2

d = 0 x 3.41 + 1/2  x 9.8  x 3.14 ^2

d = 48.31

Hope this helps

A 1.4 kg block slides across a rough surface such that it slows down with an acceleration of 1.25 m/s(squared). What is the coefficient of kinetic friction between the block and the surface?
Help please. Show steps. ...?

Answers

The coefficient of kinetic friction for the block k slides across a rough surface is 0.128.

What is Newtons second law of motion?

Newtons second law of motion shows the relation between the force mass and acceleration of a body.

It says, that the force applied on the body is equal to the product of mass of the body and the acceleration of it.

It can be given as,

[tex]F=ma[/tex]

Here, (m) is the mass of the body and (a) is the acceleration.

Step 1) Find the friction force-

As the mass of the block is 1.4 kg and the acceleration of it is 1.25 m/s (squared). Therefore the friction force can be given as using the above formula as,

[tex]F_f=1.4\times1.25\\F_f=1.75\rm N[/tex]

Step 2) Find the normal force-

The normal force acting on it due to gravity force is,

[tex]F_n=1.4\times9.8\\F_n=13.72\rm N[/tex].

Step 3) Find the coefficient of kinetic friction[tex](\mu)[/tex]-

Now the friction force acting on a moving body is equal to the product of normal force acting on it and the coefficient of kinetic friction.

Thus, the coefficient of kinetic friction[tex](\mu)[/tex] can be given as,

[tex]F_f=F_N\times\mu\\1.75=13.72\times \mu\\\mu=0.128[/tex]

Hence, the coefficient of kinetic friction for the block k slides across a rough surface is 0.128.

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Which statement is true concerning the evidence for black holes?

Scientists can see black holes with powerful telescopes.

Scientists can see the effect of black holes on nearby stars.

Scientists can see trails left in space by black holes.

There is no evidence for black holes.

Answers

Scientists can see the effect of black holes on nearby stars is true concerning the evidence for black holes.

four identical charges (q = +3µC) are arranged in a form of a rectangle. what is are the magnitude and direction of the net electric force on the charge in the lower right corner attributable to the other three charges? distances are in meters. ...?

Answers

Final answer:

The net electric force on the charge in the lower right corner can be calculated using Coulomb's law. The magnitudes of the forces exerted by the other charges can be determined by considering the charges and distances involved. The direction of the net force can be determined by adding the individual forces vectorially.

Explanation:

The net electric force on the charge in the lower right corner can be calculated by summing the individual forces exerted by the other three charges. Since all four charges are identical and arranged in a rectangle, the magnitudes of the forces will be the same. The magnitudes of the forces can be determined using Coulomb's law, which states that the force between two point charges is directly proportional to the product of their charges and inversely proportional to the square of the distance between them. The formula for Coulomb's law is:

F = k * (q1 * q2) / r^2

where F is the force, k is the electrostatic constant (9 x 10^9 Nm^2/C^2), q1 and q2 are the charges, and r is the distance between the charges. The direction of the force is determined by the charges involved. Charges with the same sign repel each other, while charges with different signs attract each other.

To calculate the magnitude and direction of the net electric force on the charge in the lower right corner, you can calculate the forces exerted by each of the other three charges individually and then add them vectorially. Since the four charges are arranged in a rectangle, the forces exerted by the top-left and top-right charges will point downwards and towards the left, while the force exerted by the bottom-left charge will point upwards and towards the right. By adding these forces vectorially, you can determine the net force.

Let me know if you need help with any specific calculations.

The light bulbs in an office building give off tremendous amounts of heat. Since heat is a form of energy, this heat could be trapped and used to offset our need for electricity, thus saving energy and money. True False

Answers

False, you can't use a light bulbs heat for energy. 

Answer:

False

Explanation:

The office area where night bulbs are used is very large and the light bulbs used do not produce this much amount of energy which can be trapped and used to offset our need for electricity.

This energy generated from these bulb is only a waste as it cannot be converted into reusable form. It can only be dissipated as heat.

how are the second law of thermodynamics and pollution related

Answers

Since the Second Law of Thermodynamics states that over time, differences in temperature, pressure, and chemical potential compensate for each other, energy is required for heating and cooling. The fuel used in non-renewable energy sources (coal, nuclear) creates pollution

Answer:

Explanation:

Thermodynamics is the study of heat and energy and the second law of thermodynamics describes the limit of and capabilities of the universe.

As per law " the total entropy of an isolated system can never increase in time".

This law flashes light on degeneration, inefficiency and decay. It describes the phenomena of what we produce waste and is irreversible process in the universe and thus is our desolate fate.

It describes that once waste has been created, it cannot disappear. It will be in existence. This creates pollution.

Hence in this way the second law of thermodynamics and pollution is related.

what connects neurons and what chemicals help neurons communicate

Answers

The neurons are connected, with a tiny gap between them called the synapse, by dendrites. Neurotransmitters are chemical compounds that carry signals across the synapse.

Answer:

synapses

The chemical that helps them to communicate is neurotransmitters

Explanation: synapses have a receiving end and a sending end that helps them receive signal transmitted through the neurotransmitters

A container of gas is at a pressure of 1.3x10^5 Pa and a volume of 6 m^3. How much work is done by the gas if it expands at a constant pressure to twice its initial volume.

Answers

Final answer:

The work done by the gas is 7.8x10^5 J.

Explanation:

To determine the work done by the gas as it expands at a constant pressure, we can use the formula:

Work = Pressure x Change in Volume

Given that the initial volume is 6 m^3 and the gas expands to twice its initial volume (12 m^3), the change in volume is 12 m^3 - 6 m^3 = 6 m^3. The given pressure is 1.3x10^5 Pa. Plugging these values into the formula:

Work = (1.3x10^5 Pa) x (6 m^3) = 7.8x10^5 J

Heat moves through liquid and circulates due to density A. radiation B. conduction C. Convection D. water cycle A.radiation When the electromagnetic radiation in a region of space is at equilibrium with its surroundings, it can be described by the Planck radiation formula. [ The total energy radiated from an area in this region of space is given by the Stefan-Boltzmann law and the energy density associated with the radiation can be related to that law. In the development of the expression for the

Answers

I believe the correct answer would be c

Heat transfer through the movement of fluid due to temperature-induced changes in density is known as convection.

Heat transfer by circulation of a fluid is known as convection. This process takes place when fluid, such as air or water, is heated and then moves due to changes in density. Hotter, less dense fluid rises, while cooler, denser fluid sinks, creating a circulation that effectively transfers heat within the fluid. For instance, when heating a pot of water, the heat is conducted to the water at the bottom of the pot. This heated water then expands, making it less dense than the surrounding cooler water, causing it to rise. As it rises, cooler water then moves down to replace it, and this cyclical process continues, resulting in the transport of heat throughout the pot by convection.

What is a wave that has all the crests and troughs in the same place at the same time?

coherent wave

wavelength

fiber optic wave

hologram

Answers

wavelength
is the answer



A coherent wave is one where all crests and troughs align in the same place at the same time, demonstrating a constant phase relationship. Coherent waves, such as the light from lasers, are essential for interference phenomena utilized in devices like interferometers.

A wave where all the crests and troughs align at the same place and at the same time is known as a coherent wave. These waves maintain a constant phase relationship relative to each other. When discussing waves in this context, a wavelength is the distance between two consecutive crests or troughs of a wave. Coherent waves are important in many applications, such as in interferometers, which rely on wave interference phenomena to make precise measurements.

By definition, coherent waves are temporally coherent, meaning that their wave crests are part of the same continuous wave or 'wave train.' Coherence is essential for creating the interference patterns that are characteristic of a wide range of optical phenomena. For instance, lasers produce a beam of monochromatic light that is both temporally and spatially coherent, allowing for a range of applications from medical surgery to telecommunications.

The height of a sinusoidal wave is called its
a. phase.
b. amplitude.
c. period.
d. frequency.

Answers

The height of a sinusoidal wave is called its "Amplitude"

So, option B is your answer.

Hope this helps!

Answer:

The height of a sinusoidal wave is called its amplitude.

Explanation:

The height of a sinusoidal wave is called its amplitude. It is also defined as the maximum displacement of the particles of the waves. It the distance between the rest position to the crest or the rest position to the trough of the wave. The amplitude of a wave measures its intensity.

The intensity of a wave is directly proportional to the square of its amplitude.

So, the height of a sinusoidal wave is called wave's amplitude. So, the correct option is (b) "amplitude".

What do telescopes detect that assists astronomers making discoveries in space

Answers

Telescopes help astronomers to view the stars in a closer view than the naked eye can see.
Final answer:

Telescopes assist astronomers by detecting and analyzing light from celestial objects in great detail, enabling scientists to view distant objects and investigate their properties, including the chemistry of their atmospheres. They provide insight into the deep time and space of the universe.

Explanation:

Telescopes play an integral role in astronomical discoveries as they allow us to detect and analyze light and other forms of electromagnetic radiation from celestial objects. The key components in telescopes that make this possible are their light-gathering power and high-resolution imaging capabilities.

Telescopes gather more light than the human eye, allowing them to observe dim and distant objects in more detail. They can detect images and spectra of planets and galaxies, some of which are so distant that their light has traveled for billions of years to reach us. This provides profound insight into the structure of the universe and the life cycles of celestial bodies.

Moreover, by observing the chemistry of these planets' atmospheres, telescopes enable astronomers to search for signs of extraterrestrial life. Advanced telescopes such as the Hubble Space Telescope and the Very Large Telescope in Chile provide views of deep space and deep time – periods of time deep in the past – at an unrivaled resolution.

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A bird flies from the South Pole to the North Pole. Part of the journey is 1000 miles that takes 2 weeks. What is the bird’s velocity in that time?

Answers

We Know, Velocity = Distance / Time
Here, Distance = 1000 miles
Time = 2 weeks = 14*24 Hours  [ 1 week = 7 days & 1 day = 24 hours ] 
Time = 336 Hours

Now, substitute the values,
Velocity = 1000/336 = 2.976 miles/hour

So, your final answer is 2.976 miles/hour 

Hope this helps! Happy studying :)

W
Which statement best describes how the period and frequency of electromagnetic waves change between gamma rays and microwaves?
A) The period and the frequency stay the same.
B) The period increases and the frequency decreases.
C) The period decreases and the frequency increases.
D) The period increases and the frequency increases.

Answers

B) The period increases and the frequency decreases.

Hope this helps!

Answer:

B) The period increases and the frequency decreases.

Explanation:

Gamma rays are high energy rays which means these rays have high frequency. Microwaves have low energy and low frequency. For electromagnetic wave change between gamma rays to microwaves, the frequency decreases and period increases.

[tex]T= \frac{1}{f}[/tex]

Thus, option B is correct.

If a molecule has an unequal distribution of charge in its internal structure, it is said to be _____.

A: saturated
B: unsaturated
C: polar
D: nonpolar

Answers

The answer would have to C

When baking soda and vineager react, the surface bubbles. what does this most likely indicate?

Answers

A chemical change because a gas is being formed

Answer:

Chemical

Explanation:

its bubbling

This part of the electromagnetic spectrum can be used to generate power.
a. gamma rays
b. radio waves
c. microwaves
d. infrared rays

Answers

A.) Gamma Rays are your answer.

Hope this helps!

Answer

a. gamma rays


Explanation

Gamma rays are the electromagnetic waves with the highest frequency. They are the waves with the smallest wavelength.

Due to their high frequency they can produce more energy. They are the most energetic waves or the most powerful.

How is position, time, and motion related?

Answers

Motion is equivalent to the change in position per unit time.

A football is kicked into the air from an initial height of 4 feet. The height, in feet, of the football above the ground is given by s (t)=-16^2+50t+4, where t is time, in seconds, and t>=0. At what time will the football be 25 feet above the ground?
3.625 seconds
3.20 seconds
0.5 seconds or 3.625 seconds
0.5 seconds or 2.625 seconds

Answers

s(t) = -16t^2 + 50t + 4

This equation gives us relation between time and traveled distance. That means that if we put some time we can see how much distance ball will travel or oposite from that if we have some distance to travel we can calculate how much time will it require to do so.
Second case is actually what we need for our task.

25 = -16t^2 + 50t + 4
-16t^2 +50t - 21 = 0

Now we get 2 times which is obvious because ball will reach 25 feet when it is ascending and when it is descending.

t1 = 1/2
t2 = 2,625

Both are the answers.

Answer: 0.5 seconds or 2.625 seconds

Explanation:

At t = 0, The ball is 4 ft above the ground.

The height of the football varies with time in the following way:

s(t) = -16 t² + 50 t + 4

we need to find the time in which the height would of the football would be 25 ft:

⇒25 = -16 t² + 50 t + 4

we need to solve the quadratic equation:

⇒ 16 t² - 50 t + 21 = 0

[tex]t = \frac{50 \pm \sqrt{50^2-4\times 16\times 21}}{2\times16}[/tex]

⇒ t = 0.5 s or 2.625 s

Therefore, at t = 0.5 s or 2.625 s, the football would be 25 ft above the ground.

Describe the circumstances for which the output work would equal the input work in a machine

Answers

The output work circumstances would be the fact that the machine could do a good amount of time at a good pace, and distance. where the machine doesn't need any help to be controlled. the input work would be you being able to use the machine with no difficulty. you are the client the machine is your server, you command, and the machine obeys.

a particle moving along the x axis has the position x(t) at time t with the velocity of the particle given by v(t)=5sin(t^2). At time t=6, the particles position is (4,0). Find the position of the particle when t=7...

please and thank you :) ...?

Answers

Final answer:

To find the position of the particle when t=7, integrate the velocity function to obtain the position function. Substitute a given position value to determine the constant of integration. Finally, plug in t=7 into the position function and evaluate to find the position of the particle.

Explanation:

To find the position of the particle when t=7, we need to integrate the velocity function from t=6 to t=7. The velocity function v(t) = 5sin(t^2) represents the rate of change of position with respect to time. Integrating this function gives us the position function x(t) = -5cos(t^2) + C, where C is a constant of integration.

We can find the value of C by substituting the given position x(6) = 4.0 into the position function. Plugging in t=6 and x=4.0, we get 4.0 = -5cos(6^2) + C. Solving for C, we find C = 4.0 + 5cos(6^2).

Now we can find the position of the particle when t=7 by plugging in t=7 into the position function x(t) = -5cos(t^2) + C, where C is the value we obtained earlier. Evaluating the expression, we find x(7) = -5cos(7^2) + (4.0 + 5cos(6^2)). Therefore, the position of the particle when t=7 is approximately (0.609, 0).

Final answer:

The position of the particle at t=7 can be determined by integrating the given velocity function v(t) = 5sin(t^2) from t=6 to t=7 and adding the result to the known position at t=6. The integral does not have an elementary antiderivative, so numerical methods are needed for evaluation.

Explanation:

The position of the particle, while it moves along the x-axis, can be found by integrating the velocity function. Since the velocity is given by v(t) = 5sin([tex]t^2[/tex]), we will integrate this with respect to time to find the position function x(t). Given that the particle's position at time t=6 is (4,0), we can use this information to find the constant of integration after integrating the velocity function.

To find the position x(t) at any time t after t=6, we would calculate the integral of the velocity function from 6 to t, and add this to the initial position at t=6:

∫6t 5sin(τ2)dτ + 4

To find the position at t=7, we would evaluate this integral from 6 to 7, which requires a numerical method since the integral of sin(t2) is not an elementary function. Once the integral is evaluated, this value is added to 4 (the position at t=6) to determine the final position of the particle at t=7.

The pull of the moon on Earth's tidal bulge is causing

Answers

The pull of the moon on Earth's tidal bulge is causing The moon to slowly move farther away from the Earth. Hope that helps.
The gravitational attraction of the moon causes the oceans to bulge out in the direction of the moon. Another bulge occurs on the opposite side, since the Earth is also being pulled toward the moon (and away from the water on the far side). Ocean levels fluctuate daily as the sun, moon and earth interact.
Other Questions
The sum of three consecutive odd integers is -27. What are the numbers? Find f(-7) if f(x) = 2x 8. -6 2 3 22 A CD usually sells for $18.00. If the CD is 20% off, and sales tax is 5%, what is the total price of the CD, including tax? A. $15.12 B. $16.06 C. $14.18 D. $15.30 Translate the percent word problem in a equation: If 5 is increased to 8, the increase is what percent of the original number? A transversal must intersect two or more parallel linestrue or false two crates, of mass 75kg and 110 kg are in contact and at rest on a horizontal surface. a 730 N force is exerted on a 75kg crate. if the coefficient of kinetic friction is 0.15, calculate (a) the acceleration of the system and (b) the force that each crate exerts on the other. ...? Using the graph below, calculate the average rate of change for f(x) from x = 0 to x = 2. x = 4 x = 2 x = 2 x = 4 A bacterium engulfed by a white blood cell through phagocytosis will be digested by enzymes contained in _____. 1. Why did Japan conquer other countries and territories in the 1930s? It wanted access to resources and materials.It believed other countries should become democracies, too.It wanted a stepping-off point for invading the United States. 1. What is the sum of the polynomials?(m + n + 3) + (m + n + 4)2. Find the difference of the polynomials(10m 6) (7m 4)3. Find the difference of the polynomials(4m 5) (6m 7 + 2n) A fold where the youngest rock layer is in the center is called a(n) _____. monoclinedeclinesynclineanticline Which of the following people did NOT contribute to the field of sociology? (1 point)Tennessee WilliamsEmile BurkheimKarl MarxMax Weber Make the following sentence more active : five books is the series have been writing by the author how does the author contrast zeus from cronus? How does the cell membrane help cells maintain homeostasis The pineapple is seven times as heavy as an orange pineapple awesome where is 870 g more than orange what is the total weight in grams for the pineapple and which of the following is not a unit of heat energy: newtons, calories, btu's, or joules Help?Identify three major problems faced by farmers after the Civil War. Explain how farmers organized to address these problems. Shafiq measured a piece of construction paper to be 6.75 inches wide by 8.25 inches long. What is the area of the piece of construction paper in square inches. Show your work. The total cost of gasoline varies directly with the number of gallons purchased. Gas costs $1.89 per gallon. Write a direct variation to model the total cost c for g gallons of gas.