Consider a space pod somewhere between earth and the moon, at just the right distance so that the gravitational attractions to earth and the moon are equal. IS this location nearer earth or the moon?

Answers

Answer 1
look up   Lagrange points
there  are 5 of them
L1  is closer to the moon than earth
L3   and L4    are equal distance    from the earth to moon


Answer 2
Final answer:

The location in space where Earth's and the Moon's gravitational attractions are equal is closer to the Moon due to its significantly lesser mass compared to Earth. By applying Newton's law of universal gravitation, it can be deduced that this point must be nearer the Moon, as Earth's stronger gravitational force diminishes with increasing distance.

Explanation:

The gravitational attraction between two objects depends on both their masses and the distance between them, according to Newton's law of gravitation. The force of gravity is proportional to the product of the two masses and inversely proportional to the square of the distance between their centers of mass. Based on the data provided, the Earth's gravitational force is much stronger than that of the Moon due to its greater mass. However, as the distance from the Earth increases, its gravitational pull weakens.

Given that the mass of the Moon is about 1/81 of the Earth's mass and the distance from the Earth to the Moon is approximately 3.80×105 km, there exists a point where the gravitational forces exerted by Earth and the Moon on an object are equal, known as the Lagrange point L1. This point is closer to the Moon than to Earth because the Moon's weaker gravitational force requires a shorter distance to match the stronger gravitational force of the Earth. To find this exact point, one would use the formula from Newton's law of gravitation and set the forces equal to each other, solving for the distance from Earth at which this equilibrium occurs.

Considering the information provided about the distances and gravitational forces, we can infer that the space pod mentioned in the question, at the point where Earth's and the Moon's gravity cancel each other out, would indeed be closer to the Moon. This is a consequence of the vast difference in mass between the Earth and the Moon and the inverse-square law of gravity.


Related Questions

When sodium reacts with chlorine, sodium chloride is produced. Andrew represented this reaction with this equation:


Na + Cl2 → 2NaCl


The equation is (BLANK 1) because the number of (BLANK 2) atoms is (BLANK 3) on both sides of the arrow.


BLANK 1

A) Balanced

B) Not Balanced


BLANK 2

A) Chlorine

B) Sodium


BLANK 3

A) Equal

B) Not Equal

Answers

Answer:

The equation is (NOT BALANCED) because the number of (SODIUM) atoms is (NOT EQUAL) on both sides of the arrow.

Explanation:

1) As per the Dalton theory (or mass conservation law) in a chemical reaction the atoms do not dissapear or appear but are conserved.

2) So the number of atoms of the elements in the reactants must be equal to the atoms of the elements of the products.

3) Balancing a chemical reaction is the mathematical process of equalling the atoms of each element on both sides of the reaction.

4) In the given chemical equation, the coefficent in front Na on the left side is 1 meaning that there is 1 atom of Na, while in the right side (the side of the products) the coefficient in front of NaCl is 2, meaning that there are 2 atoms of Na. So, the equation is not balanced.

The balanced equation is:

2Na + Cl2 --> 2NaCl

How are stone tools or sharp sticks technology

Answers

Technology (most humans definition)-Must have wires, electronics, and other gizmos and ect.

Technology (real definition)-Make's life easier or solves practical problems. Life in the first years of humans was about primitive survival. Stone tools and sharp sticks made life easier.

Stone tools and sharp sticks are early technologies that required technical skills and knowledge for their creation and use.

Stone tools and sharp sticks are considered technology due to the technical skills and knowledge required for their creation and usage. The development of stone tools, such as the Oldowan tools, marked a significant advancement in human engineering abilities, enabling tasks like cutting, scraping, and butchering. Furthermore, innovations like hafting, attaching blades to shafts, showcase the early human understanding of materials and design.

After watching an advertisement for hand sanitizer on television, Ben decided to see just how effective the advertised hand sanitizer really was. Ben used warm water as his control. He compared the advertised sanitizer with two brands of hand soap. In all four trials he rubbed his hands together for two minutes. After using the three products and the control, he cultured the bacteria on his hands. He recorded the number of bacterial cultures that appeared on each culture plate. Ben's results can be seen in the data table. Ben concluded that both brands of soap were more effective in killing bacteria than the advertised hand sanitizer. What term BEST describes Ben's results for all four trials? A) biased B) inconclusive C) qualitative D) quantitative ASAPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

answer is quantitive this guy is wrong

Explanation:

did it on usatestprep

A uniform rod XY of weight 10.0N is freely hinged to a wall at X. It is held horizontal by a force F acting from Y at an angle 30° to the horizontal, as shown.

What is the value of F? 
A- 5.0 N B- 8.7cm C- 10.0cm D-20.0cm

Answers

I think the answer is A or B

Marta, Cato, and Juan plan a skit to illustrate one of the methods of charging.

Marta and Cato are walking together. Each has one flower and one box of candy.
Juan offers Cato a huge bouquet of flowers, but Cato can’t take it because his hands are full.
Cato hands his flower to Marta and then turns to Juan to take the bouquet.
Marta walks away in one direction with two flowers and one box of candy. Juan keeps the bouquet and walks away in the other direction. Cato looks sad standing alone with only a box of candy.
How does the skit model a method of charging?

a It models induction because an electron (a flower) transfers from Cato to Marta through direct contact.
b It models friction because an electron (a flower) transfers from Cato to Marta through direct contact.
c It models friction because the offer of flowers represents a charged object that causes an electron (a flower) to transfer from one object to another.
d It models induction because the offer of flowers represents a charged object that causes an electron (a flower) to transfer from one object to another.

Answers

The answer is C. Frictional charging is primarily involved. In the scenario, the bouquet of flowers represents a charged object that causes an electron (or the flower) to transfer from one object to another. Due to the bouquet of flowers, the other flower repelled and moved towards the object with a lesser charge.  As a result, the box becomes neutral or has no charge at all. 

The answer is D.

I just took the test and got it right




































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The period of a mechanical wave is 4 seconds. What is the frequency of the wave? 8.0 waves/second 4.0 waves/second 0.25 waves/second depends on the speed of the wave

Answers

The formula for finding the frequency of a wave is with the following formula:
F = 1/T, F being the variable for frequency and T substituting as time. Given we already have our time, let's plug it in for T.
F = 1/4. This means our answer is in some mathematical form that is equivalent to 1/4. We have the answer "0.25 waves/second", which is equivalent to our original fraction (0.25 x 4 = 1.00).

I hope this helps!

Hello!

Data:

T (period) = 4 s

f (frequency) = ? (waves/second)  

Formula:

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

Solving:

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

[tex]f = \dfrac{1}{4}[/tex]

[tex]\boxed{\boxed{f = 0.25\:waves/second}}\end{array}}\qquad\quad\checkmark[/tex]

___________________________

I Hope this helps, greetings ... Dexteright02! =)

An 80 N force has been applied to a block and move it 20m along the direction of the force.

Answers

w = F.D = 80N . 20m = 1600 J

Rank the following from smallest current to largest current.
A 1200W microwave connected to 110V outlet.
I=P/U=1200/110=10.9 A
A 1500W water heater connected to 220V outlet.
I=P/U=1500/220=6.8 A
A 100W light bulb connected to 110V outlet.
I=P/U=100/110=0.9 A
A 2000W oven connected to a 220V outlet.
I=P/U=2000/220=9.1 A
A 40W Light bulb connected to a 12V battery.
I=P/U=40/12=3.3 A

Answers

A 1200W microwave connected to 110V outlet.
I=P/U=1200/110=0.9 A
A 40W Light bulb connected to a 12V battery.
I=P/U=40/12=3.3 A 
A 1500W water heater connected to 220V outlet.
I=P/U=1500/220=6.8 A 
A 2000W oven connected to a 220V outlet.
I=P/U=2000/220=9.1 A 
A 1200W microwave connected to 110V outlet.
I=P/U=1200/110=10.9 A 

In short, it's:

0.9 A
3.3 A
6.8 A
9.1 A
10.9 A

Explanation:

The power of an electrical appliance is given by :

[tex]P=V\times I[/tex]

Where

V is the voltage source

I is the current flowing in the circuit

1. For 1200 W microwave, Current, I = 10.9 A

2. For 1500 W water heater, Current, I = 6.8 A    

3. For 100 W light bulb, Current, I = 0.9 A

4.  For 2000 W oven, Current, I = 9.1 A  

5. For 40 W light bulb, Current, I = 3.3 A      

Out of the above five appliances, the largest current is flowing in microwave and the smallest current is flowing in the light bulb.

So, the sequence from smallest current to the largest current is :

100 W light bulb ( 0.9 A) < 40 W light bulb (3.3 A) < 1500 W water heater (6.8 A) < 2000 W oven (9.1 A) < 1200 W microwave (10.9 A)

what type of simple machine is a catapult?( incline plane , lever , pulley , screw , wedge, or a wheel and axle) How do you know ?

Answers

Answer: Lever

Explanation:

A catapult as a machine is a lever (1st class) because the fulcrum is between the Effort applied and the load(object) to be launched. A first class lever machine is a machine that has the fulcrum in between the effort and the load which makes a catapult a first class lever.

The handle of the catapult is where the effort is applied, the fulcrum is the point of contact between the rubber tied to the stick and the stick itself and the load is the object to be launched.

A catapult is a type of lever because it uses a rigid arm that pivots around a fixed point to launch a projectile.

A simple machine known as a lever is made up of a rigid bar or board that pivots around a fixed point, also known as a fulcrum. The fulcrum of a catapult is the location where the weapon's arm is joined to the base.

Potential energy is stored in the system when the catapult's arm is retracted. Potential energy is transformed into kinetic energy when the arm is released, which causes the arm to swing forward and fire the projectile.

Seesaws, scissors, and crowbars are a few examples of machines that utilize the lever concept. The lever enables the application of a little force over a longer distance to produce a bigger force over a shorter distance.

Therefore, a catapult is a type of lever. The correct answer is lever. An example of a lever is a catapult.

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Calculate the momentum of a 953kg elephant running at a rate of 3.85 m/s.

Answers

Hi!
So we got 953kg = mass
And we also got 3.85 = speed
M/S = 953/3.85
953/3.85= 247.532468
ANSWER: 247.532468
Hope I helped! :D

What does the Energy Independence and Security Act of 2007 mandate? A. more use of fossil fuels
B. more use of heavy cars
C. more fuel efficient cars

Answers

Answer: C

 

The Energy Independence and Security Act of 2007 mandates the use of more fuel efficient cars where car manufacturers are required to boost fleet wide gas mileage to 35 mp (14.8 km/l) by 2020 in order to help reduce petroleum consumption. It encourages the increase in fuel economy standards for passenger cars. Thus, promote production of fuel-efficient vehicles.  Additionally, the act also support the use of electric transportation technology. 

The answer is C. more fuel efficient car.s

Sugar mixed in water is an example of a _______________ .


A colloid
B suspension
C pure substance
D solution
E heterogeneous mixture

Answers

Sugar water is a solution and not a colloid. Solutions are homogeneous mixtures of two or more components. In a solution, the substance is dissolved in the solute. Sugar water is a solution and not a colloid. Solutions are homogeneous mixtures of two or more components.

Answer:

option D is correct. It is a solution.

Explanation:

A physical change occurs when sugar dissolves in water. It is due to the fact that no new substance is formed.the process is reversible.as sugar is solute.water is solvent.What is solute?

A solute is a substance that dissolves in a solution. A solvent and one or more solutes make up every solution.

hence, option D is correct. It is a solution.

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what is the definition of work when net force is parallel to the distance?

Answers

Work in general is given by W=F·d where F is the force vector and d is the displacement vector.  The dot symbol is the dot product which is a measure of how parallel two vectors are.  It can be replaced by the cosine of the angle between the two vectors and the vectors replaced by their magnitudes.  If F and d are parallel then the angle is zero and the cosine is unity.  So in this case work can be defined as the product of the magnitudes of the force and distance:
W=Fd

A tennis ball is thrown from ground level with velocity directed 30° above the horizontal. if it takes the ball 0.5 s to reach the top of its trajectory, what is the magnitude of the initial velocity?

Answers

The motion of the tennis ball on the vertical axis is an uniformly accelerated motion, with deceleration of [tex]g=-9.81 m/s^2[/tex] (gravitational acceleration).

The component of the velocity on the y-axis is given by the following law:
[tex]v_y(t) = v_{y0}+gt[/tex]
At the time t=0.5 s, the ball reaches its maximum height, and when this happens, the vertical velocity is zero (because it is a parabolic motion): [tex]v_y(0.5 s)=0[/tex]. Substituing into the previous equation, we find the initial value of the vertical component of the velocity:
[tex]v_{y0}=-gt=-(-9.81 m/s^2)(0.5 s)=4.9 m/s[/tex]

However, this is not the final answer. In fact, the ball starts its trajectory with an angle of [tex]30^{\circ}[/tex]. This means that the vertical component of the initial velocity is
[tex]v_{y0}=v_0 sin 30^{\circ}[/tex]
We found before [tex]v_{0y}=4.9 m/s[/tex], so we can substitute to find [tex]v_0[/tex], the initial speed of the ball:
[tex]v_0 = \frac{v_{y0}}{sin 30^{\circ}}=9.81 m/s [/tex]
Final answer:

Using the equation of motion v = u + gt and knowing that at the top of its trajectory the final velocity of the ball is 0, the time it takes to reach there is 0.5 seconds and the acceleration due to gravity is -9.8 m/s², we can determine the magnitude of the initial vertical component of the velocity to be 4.9 m/s. As the ball was thrown at a 30° angle, this means the magnitude of the initial velocity is 9.8 m/s.

Explanation:

In order to find the initial velocity of a projectile, we can use a foundational equation from Physics. Specifically, the formula v = u + gt where v is the final velocity, u is the initial velocity, g is acceleration due to gravity, and t is time. We're told that the ball takes 0.5 seconds to reach the top of its trajectory. At the top of its trajectory, the ball's final velocity will be 0 m/s (because it momentarily stops before falling back down). Also, the acceleration due to gravity is -9.8 m/s². Re-arranging the formula to solve for u gives us u = v - gt. Replacing v with 0, g with -9.8 m/s², and t with 0.5 s gives u = 0 - (-9.8 m/s² * 0.5s) = 4.9 m/s. However, this 4.9 m/s is just the vertical component of the initial velocity, because gravity acts vertically. Since the balls is thrown at an angle of 30°, to get the magnitude of the initial velocity, we have to divide 4.9 m/s by sin(30°) which gives us roughly 9.8 m/s. Therefore, the magnitude of the initial velocity is approximately 9.8 m/s.

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How much work does the electric field do in moving a proton from a point with a potential of +125 v to a point where it is -55 v? express your answer both in joules and electron volts?

Answers

The work done by the electric field in moving a proton from +125V to -55V is -expressed as -180 electron volts (eV).

Using the relationship between work (W), charge (q), and electric potential difference (V).

The charge of a proton is +1.602 × 10^-19 coulombs (elementary charge, e), and the potential difference
V is the final potential minus the initial potential.

So, we compute the potential difference first:

V = V_final - V_initial = (-55V) - (+125V) = -180V

Then, we calculate the work done:

W = q
V = (1.602
10^-19 C)
(-180 V) = -2.8836
10^-17 joules

The negative sign indicates that the electric field is doing work against the electric potential. To express the work in electron volts, remember that 1 eV = 1.602
10^-19 joules:

W (in eV) = W (in joules) / (1.602
10^-19 joules/eV)
= (-2.8836
10^-17 joules) / (1.602
10^-19 joules/eV) = -180 eV

Match the cloud type with its description.




1.
cumulus
resembles an overcast sky; layers of gray or white clouds

2.
altostratus
clouds nearest Earth's surface

3.
cirrus
look like wispy feathers high in the sky

4.
nimbostratus
dark, thick-layered clouds; rain's coming

5.
fog
look like pieces of cotton in the sky

Answers

Cumulus clouds are easy to distinguish because they look like piles of cotton. They have rounded edges. The Latin word 'cumulus," is loosely translated as "heap," in English. 

Altostratus are mid-level clouds that resemble an overcast sky. Predominantly grey, they spread out widely and is usually associated with light rain. It can morph into a nimbostratus, which are clouds that carry heavy rain.

Cirrus clouds are thin and wispy. They are high-level clouds that often appear bright yellow just as the sun rises and red after the sun sets. 

Nimbostratus clouds are dark thick-layered clouds. "Nimbus," is Latin  which means rain and "stratus," means spread-out. 

Fog are clouds nearest to the surface. They are also called stratocumulus clouds. These are stratus clouds that form near the ground. 

Consider the vector b⃗ with magnitude 4.00 m at an angle 23.5∘ north of east. what is the x component bx of this vector? express your answer in meters to three significant figures.

Answers

Decomposing the vector b on the x-axis and the y-axis, we get a rectangle triangle where the two sides are bx (x-axis) and by (y-axis), and b is the hypothenuse.
The component in x, bx, is equal to the product between the hypothenuse and the cosine of the angle between b and the x-axis, which is [tex]23.5 ^{\circ}[/tex]:
[tex]b_x = b \cos (23^{\circ})=(4.00 m)(\cos (23^{\circ}))=3.68 m[/tex]

Sally and Maria were running around the track during PE. They were not happy and decided to stop and rest once they got to the bleachers. After a 10 minute rest, they started running again, but Sally tripped and fell. At what time during their run did Sally fall for a minute? A) at 4 minutes B) at 14 minutes C) at 15 minutes D) at 20 minutes

Answers

Answer:

The answer is A.) 4 minutes

Explanation:

If you look at the graph they started at 15  and when they took a rest it was at 4 mins.

Answer:

B)15 Minutes

The line becomes straight for one min at the fifteen min marker.

Hope this helps

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You exert a horizontal force on a heavy piano that rests on a carpeted floor. the piano doesn't budge. if the force you exert on the piano is the "action", what force is its reaction?

Answers

the force the piano exerts on you!

Answer:

it will cruch you so the piano exerts on you

Explanation:

After walking across a carpeted floor in socks, Jim brings his finger near a metal doorknob and receives a shock. what does that demonstrate

Answers

static electricity, And a human completing a circuit. 

Electric forces can act at a distance


A circuit contains a single 270-pf capacitor hooked across a battery. it is desired to store four times as much energy in a combination of two capacitors by adding a single capacitor to this one. what would this value be

Answers

The energy stored by a system of capacitors is given by
[tex]U= \frac{1}{2}C_{eq} V^2 [/tex]
where Ceq is the equivalent capacitance of the system, and V is the voltage applied.

In the formula, we can see there is a direct proportionality between U and C. This means that if we want to increase the energy stored by 4 times, we have to increase C by 4 times, if we keep the same voltage.

Calling [tex]C_1 = 270 pF[/tex] the capacitance of the original capacitor, we can solve the problem by asking that, adding a new capacitor with [tex]C_x[/tex], the new equivalent capacitance of the system [tex]C_{eq}[/tex] must be equal to [tex]4C_1[/tex]. If we add the new capacitance X in parallel, the equivalent capacitance of the new system is the sum of the two capacitance
[tex]C_{eq} = C_1 + C_x[/tex]
and since Ceq must be equal to 4 C1, we can write
[tex]C_1+C_x = 4C_1[/tex]
from which we find
[tex]C_x=3C_1=3 \cdot 270 pF=810 pF[/tex]

Which type of simple machine is pictured here?
1. wedge
2. inclined plane
3. lever
4. wheel and axel

THANK YOU I NEED THIS DONE BY 10:30 2/23/2018

Answers

Answer: This thing is a lever

Explanation: There isn't a picture, but I took the K12 class, so yeah

Final answer:

The simple machine with a rod fixed to the center of a wheel is a wheel and axle, which is a type of lever used to multiply applied force.

Explanation:

The simple machine pictured that consists of a rod fixed to the center of a wheel is known as a wheel and axle. This device is actually a form of lever where the force applied to the wheel results in a greater force being applied to the axle. It exemplifies how simple machines can be used to multiply or augment a force that we apply. The mechanical advantage is calculated by dividing the radius of the wheel by the radius of the axle.

I need help with this asap please

A water wave vibrates up and down four times each second, the distance between two successive crests is 5 meters, and the height from the lowest part to the highest part of the wave is 2 meters.
a. What is the frequency of the wave in hertz?
b. What is the period of the wave in seconds?
c. What is the speed of the wave in meters per seconds?
d. What is the amplitude of the wave in meters?

Answers

ITs c because its looking for how fast it goes or how far it goes 
Final answer:

The frequency of the wave is 4 Hz, the period is 1/4 seconds, the speed is 20 m/s, and the amplitude is 2 meters.

Explanation:

a. The frequency of the wave can be calculated by counting the number of complete vibrations in one second. In this case, the wave vibrates up and down four times each second, so the frequency is 4 Hz.

b. The period of the wave is the time it takes for one complete vibration. It can be calculated by taking the reciprocal of the frequency. In this case, the period is 1/4 seconds.

c. The speed of the wave can be determined by multiplying the frequency by the wavelength. Since the distance between two successive crests is 5 meters, the speed of the wave is 20 m/s.

d. The amplitude of the wave is the height from the lowest part to the highest part of the wave. In this case, the amplitude is 2 meters.

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give an example of a situation in which you would describe an object's position in

Answers

Incomplete question.  Full text is:

"Give an example of a situation in which you would describe an object's position in (a) one-dimension coordinates (b) two-dimension coordinates (c) three-dimension coordinates"

Solution
(a) One dimension example: a man walking along a metal plank. We just need to specify one coordinate, the distance from the beginning of the plank.

(b) Two-dimension example: a ball moving on a circle. In this case, we need two coordinates: (x,y) to specify the position of the ball at every instant, since it is moving on a 2-D plane.

(c) The position of an airplane in the air: in this case we need 3 coordinates, the height, the latitude and the longitude of the airplane.

A rotating fan completes 1100 revolutions every minute. consider a point on the tip of a blade, at a radius of 0.18 m. through what distance does the point move in one revolution?

Answers

We don't need the angular speed to solve this exercise. In fact, the distance covered by the point in one revolution corresponds to one circumference of radius r, with r being the radius at which the point is located. Therefore, the distance covered by the point in one revolution is
[tex]d=2 \pi r = 2 \pi (0.18 m)=1.13 m[/tex]

The water cycle is a biogeochemical cycle that is a closed system. Which of these sentences describes a viable stage that occurs in the water cycle?
(A)Water enters and exits the system boundaries of the cycle.
(B)Water can change from solid to liquid at certain points in the cycle.
(C)Ice forms anew, adding matter to the cycle.
(D)Water vapor condenses, subtracting energy from the cycle.

Answers

Answer:

b

Explanation:

The water cycle is a biogeochemical cycle that is a closed system. the statement describes a viable stage that occur in water cycle is that water can change from solid to liquid at certain points in the cycle. therefore the correct answer is option B.

What is hydropower?

A dam or other construction that alters the natural flow of a river or other body of water is used to generate hydropower, often known as hydroelectric power.

Hydropower utilizes the endless water cycle, which uses water as fuel and produces no waste products, to produce electricity. Hydropower plants come in a variety of shapes and sizes, but they are always constantly pushed by the kinetic energy of water going downstream.

In a closed system, the water cycle is a biogeochemical cycle. The fact that water can transform from solid to liquid at specific periods during the cycle is described in the phrase as a possible stage that occurs in the water cycle.

Thus, the correct answer is option B.

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which theory of plate movements involves magma rising all the way from the lower mantle to spread apart plates

Answers

Hot plumes is the answer

Answer:

hot plumes

Explanation:

Bob is studying waves in science and learns that the energy of a wave is directly proportional to the square of the waves amplitude. If the amplitude of a wave changes from 2m to 1m, what should he predict as the effect on energy of the wave? A) The energy is halved. B) The energy is doubled. C) The energy is quartered. D) The energy is quadrupled.

Answers

For a simple harmonic motion energy is given with:
[tex]E=\frac{1}{2}kA^2[/tex]
Where k is a constant that depends on the type of the wave you are looking at and A is amplitude.
Let's calculate the energy of the wave using two different amplitudes given in the problem:
[tex]E_1=\frac{1}{2}k(1)^2=\frac{1}{2}k\\E_2=\frac{1}{2}k(2)^2=\frac{4}{2}k=2k\\[/tex]
We can see that energy associated with the wave is 4 times smaller when we decrease its amplitude by half. So the answer should be C.


Answer:

It's C

Explanation:

Since E ∝ amplitude2 then as the amplitude is halved the energy is quartered.

Plugging in to check

amplitude2=E

22=4

12=1

A 616 g block is released from rest at height h0 above a vertical spring with spring constant k = 540 n/m and negligible mass. the block sticks to the spring and momentarily stops after compressing the spring 23.3 cm. how much work is done (a) by the block on the spring and (b) by the spring on the block? (c) what is the value of h0? (d) if the block were released from height 2h0 above the spring, what would be the maximum compression of the spring?

Answers

A boiling pot of water (the water travels in a current throughout the pot), a hot air balloon (hot air rises, making the balloon rise) , and cup of a steaming, hot liquid (hot air rises, creating steam) are all situations where convection occurs. 
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A completely ionized beryllium atom (net charge = +4e) is accelerated through a potential difference of 6.0 v. what is the increase in kinetic energy of the atom?

Answers

For the principle of conservation of energy, the increase in kinetic energy of the atom is equal to the energy lost when moving through the potential difference:
[tex]\Delta K=\Delta U=q \Delta V[/tex]
where q is the charge of the Beryllium atom:
[tex]q=4 e=4 \cdot (1.6 \cdot 10^{-19}C)=6.4 \cdot 10^{-19}C[/tex]
and [tex]\Delta V=6.0 V[/tex]. Therefore, the increase in kinetic energy is
[tex]\Delta K = (6.4 \cdot 10^{-19}C)(6.0 V)=3.8\cdot 10^{-18} J[/tex]

Final answer:

The increase in kinetic energy of a completely ionized beryllium atom accelerated through a potential difference of 6.0 V is +24 electron volts (eV).

Explanation:

To calculate the increase in kinetic energy of a completely ionized beryllium atom accelerated through a potential difference of 6.0 V, we need to use the formula:

ΔK = q × ΔV

Where ΔK is the increase in kinetic energy, q is the charge of the ion, and ΔV is the potential difference. In this case, the beryllium atom is completely ionized with a net charge of +4e, where e is the elementary charge. Therefore, the charge (q) is +4e.

Substituting the values, ΔK = (+4e) × (6.0 V) = +24eV

So, the increase in kinetic energy of the atom is +24 electron volts (eV).

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