1. Show how the alternative definition of power, found in your book, can be derived by substituting the definitions of work and speed into the standard definition of power, P = W / delta t.

2. A real spring does not oscillate forever. Instead, it eventually comes to a stop. Does this violate the Law of Conservation of Energy? Explain why or why not.

Answers

Answer 1
1) Star from the definition of power:

P = work/ time = W / Δt

We know that work is given by force times displacement:
 W = F · Δd
Substituting in our formula: 
P = F · Δd / Δt

But we know by definition that Δd / Δt = velocity, therefore we can write:
P = F · v
which is the alternative formula saying that Power is equal to Force times Velocity

2) No, it is not a violation of the Law of conservation of energy because as the spring slows down, the kinetic energy is transformed into potential energy and their sum stays constant.

Related Questions

How does the usable form of nitrogen enter our bodies?

A.)by breathing in air
B.)by consuming plants
C.)by consuming water
D.)by burning fuel

Answers

Answer: B.)by consuming plants

Explanation:

There is about 78% nitrogen is available in the atmosphere. But living beings such as plants does not absorb it directly from the air. Instead they absorb the compounds of nitrogen from the soil. The soil bacteria convert the nitrogen oxides into ammonia, nitrates and nitrites in the soil in this way these bacteria fix atmospheric nitrogen into the soil. The plants absorb these forms of nitrogen, which are essentially required for the synthesis of proteins and nucleic acids. Nitrogen as an element becomes essential ingredients in all biomolecules. We humans and animals eat plants and through them the usable form of nitrogen in the form of biomolecules enters the body.

Answer:

the correct answer is B. by consuming plants

Explanation:

How are ocean ridges formed

Answers

The answer is divergent boundaries.
I hope this helps you!
Hello,

The answer is option B "divergent boundaries".

Reason:

Ocean ridges are formed by divergent boundaries which are boundaries the pull away from each other which allows the magma ti rise therefore making a ocean ridge which is why your answer is option B!

If you need anymore help feel free to ask me!

Hope this helps!

~Noportrit

The surface pressures at the bases of warm and cold columns of air are equal. air pressure in the warm column of air will ______ with increasing height __________ than in the cold column.

Answers

In atmospheric science, surface pressure is the atmospheric pressure at a location on Earth's surface. It is directly proportional to the mass of air over that location. For numerical reasons, atmospheric models such as general circulation models (GCMs) usually predict the nondimensional logarithm of surface pressure.

The answer is decrease more slowly


Light with a frequency of 7.18 Ã 1014 hz lies in the violet region of the visible spectrum. what is the wavelength of this frequency of light? answer in units of nm.

Answers

The frequency is 7.18 × 10^14 Hz, c= 3 × 10^8 m/s, where c is the speed of light.
But; c = λf, where λ is the wavelength of the wave and f is the frequency.
Making λ the subject, we get;
λ = c/f
  = (3 ×10^8)/ (7.18 ×10^14)
  = 4.17827 × 10^-7 m
but 1 m = 10^9 nm
Therefore;
 = (4.17827 ×10^-7) × 10^9
 = 417.827 nm
Hence, the wavelength= 417.827 nm

A current of 12 amps is measured in a circuit with a total resistance of 9.0 ohms. What is the size of the voltage source that supplies this circuit?

a. 108 volts
b. 21 volts
c. 1.3 volts
d. 0.75 volts

Answers

a. 108 volts is the answer.
A 108 volts is the answer! I had to check to be sure :) Brainest?

If an object has a volume of 2 milliliters and a mass of 10 grams, calculate the density of the object.







If a neutral atom has a mass of 15 amu and an atomic number of 7, determine the number of protons, neutrons, and electrons in the atom.,

Answers

Density = mass/volume 10g/2mL=5g/mL Atomic mass= protons + neutrons Atomic number=protons In a neutral atom, electrons = protons 15 amu-7 atomic number = 8 neutrons, 7 protons and 7 electrons

Wave A has an amplitude of 2, and wave B has an amplitude of 2. What will happen when the crest of wave A meets the trough of wave B?

They will interfere to create a crest with an amplitude of 0.
They will interfere to create a crest with an amplitude of 2.
They will interfere to create a crest with an amplitude of 4.
They will bounce off each another.

Answers

They will interfere to create a crest with an amplitude of 0 as it’s basically addition so 2 + (-2) would equal 0 as they cancel out

Answer:

They will interfere to create a crest with an amplitude of 0.

Explanation:

It is given that,

Wave A has an amplitude of 2, and wave B has an amplitude of 2. The superposition of two waves is called interference of wave. When the resultant wave have maximum amplitude is called constructive interference while when the amplitude of resultant completely destructs, the destructive interference happens.    

When the crest of wave A meets the trough of wave B, then destructive interference occurs. the phase difference will be 180°. There resultant is given by :

[tex]R=\sqrt{A^2+B^2+2ABcos(180)}[/tex]

R = A - B

Here A = 2 and B = 2

⇒ R = 0

Hence, the correct option is (a) "They will interfere to create a crest with an amplitude of 0".

When you hold a warm bowl, the temperature of your palms of your hands increases this is example of

Answers

heat transfer is the answer

Which is a drawback of agricultural technology?

A. Better communication
B. Prevents disease
C. Water pollution
D. Kills bugs

Answers

I would say C. Water pollution because of the pesticides they use

Which of the following does the endocrine system regulate??

A. Hormones
B. Reflexes
C. Respiration
D. Senses

Answers

it's A. hormones that your answer

Answer: Your answer would be A Hormones

Hope this helped XD

If a ball is tossed straight up into the air, at what position is its potential energy the greatest? Question 2 options: a) when it is at the top b) when it is getting near the top c) when it leaves your hand d) when it starts to fall back to your hand

Answers

Q1: At the highest point

Joan is setting up an experiment in the lab to observe newton's second law of motion. she has a model car that has a mass of 45 kg, and it is accelerating at 7 m/s/s. she then increases the acceleration to 28 m/s/s. what happens to the force of the car?

Answers

The force of the car increases because it is proportional to the acceleration of the object (as stated in the second law). If the object accelerates then the force accelerates, if the acceleration decreases then the force decreases. Same for mass. The force of the car would have changed from 315 newtons of force to 1,260 newtons of force.

Answer:

4 times its original size

Explanation:

study island said so

A car with a mass of 1,500 kilograms is moving around a circular curve at a uniform velocity of 16 m/s. The curve has a radius of 100 meters. What's the centripetal force on the car?

Answers

Centripetal force can be computed using this formula.

[tex]f = \frac{mv^{2} }{r} [/tex]

where:
f= centripetal force
m = mass
v = velocity
r = radius

Everything you need is already and all you have to do is input it into your formula:
m = 1,500 kg
v = 16m/s
r = 100  m

[tex]f = \frac{(1,500kg)(16m/s)^{2} }{100m} [/tex]
[tex]f = \frac{1,500kg)(256m^{2}/s^{2}) }{100m} [/tex]
[tex]f = \frac{384,000kg.m^{2}/s^{2} }{100m} [/tex]
[tex]f = 3,840 kg.m/s^{2}[/tex] or [tex]f = 3,840 N[/tex]

The centripetal force in a circular motion is given by:
[tex]F_C = m \frac{v^2}{r} [/tex]
where m is the mass of the object, v its speed and r the radius of the circular path.
Using the data of this problem, m=1500 kg, v=16 m/s and r=100 m, and replacing them inside the formula, we find the value of the centripetal force:
[tex]F_C = (1500 kg) \frac{(16 m/s)^2}{100 m}=3840 N [/tex]

Plants use carbon dioxide for .
1. respiration
photosynthesis

Answers

The answer is photosynthesis. The plant converts CO2, Sunlight, and H2O (water) into sugars which acts as their "food" and oxygen which we use to breathe.

The force due to gravity between two objects can be described using the equation fg = g m1 m2 / d2. according to this equation, if the distance between two objects increases, what happens to the gravitational force between them?

Answers

If the distance between the two object increases, then the force between them decreases.
In fact, the formula is
[tex]F=G \frac{m_1 m_2}{d^2} [/tex]
we can see that the distance d is at the denominator, therefore when d increases, the value of the fraction decreases, and so the gravitational force F decreases as well.

Increasing the distance between two objects decreases the gravitational force between them because the force is inversely proportional to the square of the distance.

According to the equation fg = G m1 m2 / d2, when examining the gravitational force (fg) between two objects, we look at two key factors: the product of their masses (m1 and m2) and the square of the distance between them (d2). The gravitational force is directly proportional to the product of their masses, meaning if the masses increase, the force increases. However, it is inversely proportional to the square of the distance between them, meaning if the distance (d) increases, the gravitational force decreases.

To illustrate this principle, if the distance between two objects is increased, the gravitational force between them decreases. This is because the force diminishes with the square of the distance increase, which is demonstrated by the 1/d2 factor in the equation. For example, if you increase the distance by a factor of 3, the gravitational force would decrease by a factor of 32 (or 9).

Therefore, as the distance between two objects increases, the gravitational force between them will indeed decrease, highlighting the importance of distance when considering gravitational interactions.

A ball is thrown downward at 5ms from roof 10m high its velocity when it reaches the ground is?,

Answers

A ball is thrown downward at 5ms from roof 10m high its velocity when it reaches the ground is 0 m/s. This is because it already dropped from the ground or x axis. So the velocity already stopped. 

Four wires meet at a junction. it is assumed that two currents, i1 and i4, enter the node. an ammeter records a value of +4a for i1. currents i2 and i3 are travelling out of the node. i2 has 3a running through it, and i3 has 0.5 a running through it. what is the current in i4?

Answers

Kirchhoff’s Current Law states that sum of entering currents is equal to sum of exiting currents.
[tex] I_{IN} = I_{OUT} [/tex]

We are given information:
[tex] I_{1} = 4A \\ I_{2} = 3A \\ I_{3} =0.5A \\ I_{4} = ?[/tex]

Kirchhoff’s Current Law for our example is:
[tex] I_{1} + I_{4} = I_{2} + I_{3} [/tex]
[tex] 4 + x = 3 + 0.5 [/tex]
[tex] 4 + x = 3.5 [/tex]
[tex] x = -0.5A [/tex]

We got negative value for current. This means that current I₄ is not entering but it is leaving from the junction.

Halfway though a cross-country meet,a runner’s speed is 4m/s.In the last stretch,she increases her speed to 7m/s.What is her change in speed?

Answers

v0=4 m/s
v1=7 m/s

Change in speed: v1-v0=7-4=3 m/s

Answer:

The change in speed is 3m/s

Explanation:

The change is speed is defined as the difference between final and initial speed:

ΔV=[tex]V_{2}-V_{1}[/tex]

where V2 and V1 are the final and initial speeds, respectively.

Plugging in the values

ΔV=7m/s-4m/s=3m/s

An earth satellite in an elliptical orbit travels slowest when it is

Answers

The satellite travels slowest when it is at the maximum distance from the Earth.

We can verify this in two ways:

1) By using Kepler's second law: "A line segment joining a a satellite with the Earth covers equal areas during equal intervals of time". This means that the larger is the distance of the satellite from Earth, the slower it goes.

2) by looking at the forces acting on the satellite. There is only one force acting on it: the gravitational attraction exerted by Earth, and this force is the centripetal force that keeps the satellite in circular (elliptical, actually) motion. So we can write:
[tex]G \frac{Mm}{r^2}=m \frac{v^2}{r} [/tex]
where on the left we wrote the formula of the gravitational force, while on the right the centripetal force. G is the gravitational constant, M the Earth's mass, m the satellite's mass, v its velocity and r the distance of the satellite from the center of Earth.
Simplifying, we get
[tex]v= \sqrt{ \frac{GM}{r} } [/tex]
which is the speed of the satellite when it is at a distance r from Earth: the larger r, the smaller the speed v.
Final answer:

A satellite in an elliptical orbit around Earth moves slowest at its apogee, which is the point farthest from the Earth, due to the weaker gravitational force and conservation of angular momentum.

Explanation:

An earth satellite in an elliptical orbit travels slowest when it is at the point farthest from the Earth, known as the apogee.

In an elliptical orbit, satellites experience varying speeds. The speed is greatest at the point closest to Earth, called perigee, and lowest at the apogee. This is due to the conservation of angular momentum and energy: while the gravitational pull is strongest at the perigee resulting in higher velocity, it is weakest at the apogee, hence causing the satellite to move slower.

Orbital dynamics, such as the one described, are dictated by Kepler's laws of planetary motion where among others, it states that a planet or satellite will sweep out equal areas in equal times, leading to a change in speed depending on its position along the orbit. Thus, as a satellite moves away from the Earth, to the apogee of its orbit, its orbital speed decreases due to the weaker gravitational force at that point.

Degausser creates a magnetic field that erases data from magnetic storage media.
a. True
b. False

Answers

The Answer is A. It's true.

Which of the following is true of energy? A. Energy can be created. B. Energy can be destroyed. C. Energy is constantly increasing. D. Energy is conserved.

Answers

Hello,

The answer is option D "Energy is conserved".

Reason:

The answer to this question is option D because it seems to be the best fit. Its not option A or B because energy cannot be created nor destroyed it only can be transformed into another type of energy. It shouldn't be C because energy is not always increasing because potential energy is the amount a energy that is in a object THATS NOT MOVING....therefore your answer is option D.

If you need anymore help feel free to ask me!

Hope this helps!

~Nonpotrit

which of the following best describes the noble gases?

have an outer electron shell that needs only 1 electron

are highly reactive

have a full outer electron shell

combine easily with other elements

Answers

Answer: third option: have a full outer electron shell.

Explanation:

Noble gases is the family name given to the elements of group 18 of the periodic table.

The electron valence shell of all these elements is full:

He has two electrons wich is the maximum an atom of the first row can have.

Ne, Ar, Kr, Xe, and Rn (well you can include Og which is the last noble gas discovered; it is the element number 118), have 8 electrons on their valence electron shell, which is the maximum any element can have.

Precisely, that feature (valence shell full) accounts for the low reactivity of these elements, which conferred them the title of nobles (they hardly combine with other elements to form compounds).

A solid uniform-density sphere is tied to a rope and moves (without spinning) in a circle with speed 7 m/s. The distance from the center of the circle to the center of the sphere is 1.8 m, the mass of the sphere is 6 kg, and the radius of the sphere is 0.89 m. The angular speed, w=5.62. What is the rotational kinetic energy of the sphere?,

Answers

Final answer:

The rotational kinetic energy of the sphere in a circular path (without spinning) is calculated using given parameters such as mass, radius, and angular speed, and the resultant rotational kinetic energy is approximately 227.03 Joules.

Explanation:

Answer

For the sphere, when it moves in a circular path without spinning, its rotational kinetic energy (K) is zero, because there's no internal rotation where the points in the body are moving through some angle due to spinning. However, if you are considering the entire motion of the system, then you could argue that there's rotational kinetic energy due to the rotation of the center of the circle. This is really a translational motion but in a circular path. The rotational kinetic energy can then be calculated using the equation, K = 1/2 (mr^2)w^2, where m is the mass of the sphere, r is the distance from the center of the circle to the center of the sphere, and w is the angular speed (not the angular velocity of the sphere itself if it was spinning). Lastly, substituting the known values: m=6 kg, r=1.8 m, and w=5.62 rad/s, we find that K = 1/2 * (6kg) * (1.8m)^2 * (5.62 rad/s)^2 = 227.0268 Joules.

Learn more about Rotational Kinetic Energy here:

https://brainly.com/question/30459585

#SPJ3

The rotational kinetic energy of the sphere is 30.03 Joules. This is calculated using the formula [tex]KE_{rot} = 0.5 \times I \times w^2[/tex], where I is the moment of inertia of the sphere and w is its angular speed.

To find the rotational kinetic energy of the sphere, we use the formula for rotational kinetic energy: [tex]KE_{rot} = 0.5 \times I \times w^2[/tex].

Where:

I - moment of inertia of the spherew - angular speed

For a solid sphere, the moment of inertia is given by:

[tex]I = (2/5) \times m \times R^2[/tex]

Substituting the given values:

[tex]I = (2/5) \times 6 kg \times (0.89 m)^2\\I = (2/5) \times 6 kg \times 0.7921 m^2\\I = 1.901 kg\cdot m^2[/tex]

Now, using the angular speed w = 5.62 rad/s:

[tex]KE_{rot} = 0.5 \times 1.901 kg\cdot m^2 \times (5.62 rad/s)^2\\KE_{rot} = 0.5 \times 1.901 kg\cdot m^2 \times 31.5844 rad^2/s^2\\KE_{rot} = 30.03 J[/tex]

Therefore, the rotational kinetic energy of the sphere is 30.03 Joules.

What is the magnitude of the electric force on an electron in a uniform electric field of strength 2050 n/c that points due east?

Answers

given E=2050 N/C

charge of an electron = 1.6×10^-19 C

USING E = F/Q , electric field = force ÷ charge

2050 = F ÷ (1.6×10^-19)....

make F subject of formula and get the answer 

The cliff divers at acapulco, mexico, jump off a cliff 17.2 m above the ocean. ignoring air resistance, how fast are the divers going when they hit the water?

Answers

The divers are in free fall, and they cover a distance of [tex]S=17.2 m[/tex] in a uniformly accelerated motion, with an acceleration equal to [tex]g=9.81 m/s^2[/tex] (gravitational acceleration). We can find their final velocity vf just before hitting the water using the following relationship
[tex]2aS = v_f^2 -v_i^2[/tex]
where [tex]v_i=0[/tex] is their initial velocity, which is zero because the divers start from rest. Therefore, substituting the numbers we can find vf:
[tex]v_f = \sqrt{2aS}= \sqrt{2\cdot 9.81 m/s^2 \cdot 17.2 m}=18.4 m/s [/tex]

Which best describes latitude

Answers

The best way to describe latitude is "the method to measure distance north and south of the 0 degree line".

What best describes Latitude is ;  The measure of the angular distance North and south of the equator at zero degrees

What is latitude

Latitude lines are horizontal lines which measures the angular distance north and south of the equator which is set at zero degrees, the latitudes measures the distance between th north pole and the south pole of the earth.

Hence we can conclude that What best describes Latitude is ;  The measure of the angular distance North and south of the equator at zero degrees.

Learn more about Latitude : https://brainly.com/question/1939015

In which situation would an object weigh the LEAST? (assume all the objects have the same mass) A) an object on Earth Eliminate B) an object on the moon C) an object half-way between the Earth and moon D) an object in space closer to the moon than the Earth

Answers


D)an object in space closer to the moon than the Earth

Answer: The correct answer is D.      

Explanation:

The object weigh less on the moon than Earth. The weight of the object on the moon is one sixth the weight of the object on the Earth.

Greater the mass of the object, greater will be the gravitational force. Then more will be the weight of the object. The mass of the moon is less than the mass of the earth. The object weigh less on the moon than Earth.

As you go away from the Earth's surface, the weight of the object will get reduce.

An object in space closer to the moon than the earth.

Therefore, an object in space closer to the moon than the Earth would weigh the least.

The pH of acid rain would be _____. greater than 7 less than 7 exactly 7 exactly 14

Answers

Less than 7, Ph of 7 is neutral Acid Rain would be between 4 and 0. 

Answer:

Less than 7.

Explanation:

pH scale in chemistry is used to measure the concentration of hydrogen ion. In other words, it is used to measure the extent of acidity or alkalinity of any solution. The pH scale having numbers that range from 0 to 14. The acidic solution has a lower pH value while the basic solution has a higher pH. The pH value of pure water is 7.

As the name implies acid rain, it is formed by the combination of sulfur and nitrogen oxides. The pH of acid rain is less than 7. Typically its value is 4.  

Jessie draws a ray diagram to show how an image of a candle is produced by a concave mirror when the candle is placed in front of the center of curvature. Jessie thinks the image should be virtual and behind the mirror.
Which best describes Jessie’s error?

The object should be placed anywhere on the principal axis.
The object should be at the center of the curvature.
The object should be between the center and vertex.
The object should be between the focal point and vertex.

Answers

There are two rules of reflection for the concave mirror:
1)Any incident ray traveling parallel to the principal axis on the way to the mirror will pass through the focal point upon reflection.
2)Any incident ray passing through the focal point on the way to the mirror will travel parallel to the principal axis upon reflection.
Also, keep in that for concave mirror center of curvature is 2f.
Using these two rules we can construct the image. 
You should always use these two "special" rays, I will mark then 1 and 2 on the picture.
From the picture, we can see that if you place the object between the focus and vertex you get the virtual image.
The answer is: object should be between the focal point and the vertex

On Edge, the answer is D.

Which describes the movement of a fluid during convection?
A. Warm and cool fluids rise.
B. Warm and cool fluids sink.
C.Warm fluid rises and cool fluid sinks.
D.Warm fluid sinks and cool fluid rises.

Answers

Hello there!



The hotter molecules would then become expanded and then they would then be warm and cool, and then the fluids would then rise. When the fluids such as gas for example, when they are warm and then cool, they would then rise, and this would be an example of a movement of a fluid during convection.


I hope this helps you! :)



A. Warm and cool fluids rise. 


B. Warm and cool fluids sink. 


C.Warm fluid rises and cool fluid sinks. 


D.Warm fluid sinks and cool fluid rises.



I hope this helps you!

If you're taking the course on Edge, the answer is C.  

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