A moving car has 40,000 \mathrm{J}40,000J of kinetic energy while moving at a speed of 7.0 \mathrm{m} / \mathrm{s}7.0m/s. A spring-loaded automobile bumper compresses 0.30 \mathrm{m}0.30m when the car hits a wall and stops. What can you learn about the bumper’s spring using this information? Answer quantitatively and list the assumptions that you made.

Answers

Answer 1

Assuming the car stops instantaneously and that the spring is the only force acting against the car's kinetic energy:

When the car hits the wall, the spring-loaded bumper compresses 0.30 m. This means that the spring must have exerted a force on the car in the opposite direction of its motion.

The spring must have stored a minimum of 286,000 J (40,000 J of kinetic energy + 0.3 m of potential energy) of energy to bring the car to a stop.

Assumptions:

- The car stops instantaneously

- The spring is the only force acting against the car's kinetic energy

- The spring is linear (i.e. Hooke's Law applies)

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Related Questions

a galaxy with thin spiral arms and a small spherical central bulge would be a type

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A type bulge would be a galaxy with small, spherical central bulge and thin spiral arms.

What is bulge?

The majority of spiral galaxies are made up of a bulge, or core collection of stars, and a flat, revolving disk filled with stars, gas, and dust. The spiral features that radiate from the galactic disc's core and give spiral galaxies their name. A spiral galaxy's nucleus is a sharply peaking, smooth-textured region that can be fairly small or even make up the majority of the galaxy in some circumstances. a relates to a large central bulge and wide central arms, whereas corresponds to a small central bulge with sharp spiral arms. Large spiral galaxies like the Andromeda galaxy and our own galaxy are common.

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What makes infrared waves different from other waves?

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Infrared rays have longer wavelengths than visible light and can pass through dense regions of gas and dust in space with less scattering and absorption. So, infrared objects can reveal objects in the universe that cannot be seen in visible light using optical telescopes.

The wavelengths of infrared waves range between 700 nm to 1 mm. They are longer than visible rays but shorter than radio waves. They are not visible by human eye.

Infrared radiation can promote local blood circulation and reduce muscle tension. Examples of traditional medical applications of infrared radiation include the relief of muscle pain and tension, as well as auto immune diseases or wound healing disorders.

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Label the atmosphere layers of a star

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Answer:

The layers of a star's atmosphere can include the photosphere, the chromosphere, and the corona. The photosphere is the layer of the star's atmosphere that is visible to us and is the source of the star's light. The chromosphere is the layer above the photosphere and is characterized by its reddish color. The corona is the outermost layer of the star's atmosphere and is characterized by its high temperatures.

Explanation:

a current-limiting circuit breaker performs in a manner similar to conventional thermomagnetic circuit breakers at currents below a threshold of about?

Answers

A current-limiting circuit breaker performs in a manner similar to a conventional thermomagnetic circuit breaker at currents below a threshold of about 1000A.

What is Thermomagnetic?

The study of the relationships between heat, work, temperature, and energy is known as thermodynamics. The rules of thermodynamics explain how energy in a system evolves and whether a system can make use of its environment to produce productive work.

What is Current?

Electric current is a term used to describe how much electricity flows across a circuit and how it flows in an electronic circuit. Amperes are used to measure it. The more electricity flowing across the circuit, the higher the ampere value.

Hence, a current-limiting circuit breaker performs in a manner similar to a conventional thermomagnetic circuit breaker at currents below a threshold of about 1000A.

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a container in the form of a right circular cone (vertex down) has radius 4 m and height 16 m. see the figure. if water is poured into the container at the constant rate of 16 m3/min, how fast is the water level rising when the water is 8 m deep?

Answers

A container in the form of a right circular cone when the water is 8 m deep, the water level is rising at approximately 1.273 m/min.

The volume of a cone is:

V(h) = (1/3) × π × r² × h

V(h) = (1/3) × (4²) × h

V(h) = (16/3) × π × h

The rate at which the volume is changing with respect to time is:

dV/dt = 16 m³/min

dV/dt = (d/dt) [(16/3) × π × h]

dV/dt = (16/3 × π × (dh/dt)

(16/3 × π × (dh/dt) = 16

dh/dt = (16/3π)

dh/dt = 1.273 m/min

Therefore, when the water is 8 m deep, the water level is rising at approximately 1.273 m/min.

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The complete question is:

A container in the form of a right circular cone (vertex down) has a radius of 4m and a height of 16 m. If water is poured into the container at the constant rate of 16 m³/min, how fast is the water level rising when the water is 8 m deep? (Hint: the volume V of a cone or radius r and height h is V = 1/3πr²h.)

a 1.80-kg block slides on a rough, level surface. when it is traveling at 2.00 m/s, the block hits a linear, ideal spring and compresses it by a distance of 11 cm before (momentarily) coming to rest. the coefficient of kinetic friction between the block and the surface is 0.56. what is the force constant of the spring?

Answers

The force constant of the ideal spring sliding on a rough surface with a speed of 2m/s is 413.22 N/s.

Force constant:

The force constant or spring constant is a measure of the stiffness of a spring. It is the force per unit deformation of the spring. Its SI unit is N/m.

we need the concept of kinetic energy and work to solve this problem:

[tex]ke = \frac{1}{2} \times m{v}^{2} [/tex]

where, m is mass of the block and v is the velocity of the block.

[tex]ke = \frac{1}{2} \times 1.8 \times {2}^{2} [/tex]

ke = 3.6 J

now, work done by frictional force is:

work = Fd

W = Ukmgd

( where Uk is coefficient of kinetic friction)

W= 0.56× 1.8× 10× 0.11

W = 1.1 J

now, according to conservation of energy:

Work done = potential energy + kinetic energy

W= U + KE

U = KE - W

3.6J - 1.1J

2.5 J

now, potential energy of compressed spring:

[tex]u = \frac{1}{2} \times k {x}^{2} [/tex]

[tex]2.5 = \frac{1}{2} \times k \times {0.11}^{2} [/tex]

[tex]k = \frac{2.5 \times 2}{ {0.11}^{2} } [/tex]

k = 413.22

hence, force constant of the spring is 423.22 N/m

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The cosmic microwave background is almost perfectly uniform in all directions, except for very small deviations in its temperature. what do scientists think these small deviations represent?

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These small deviations represent regions of slightly higher density that made it possible for galaxies to form.

In big Bang cosmology, the cosmic microwave background (CMB, CMBR) is electromagnetic radiation that could be a remnant from an early stage of the universe, also called "relic radiation". The CMB is faint cosmic heritage radiation filling all areas. it's far a vital source of records of the early universe because it's by far the oldest electromagnetic radiation within the universe, dating to the epoch of recombination when the primary atoms were fashioned. With a conventional optical telescope, the distance between stars and galaxies (the heritage) is absolutely dark (see: Olbers' paradox). but, a sufficiently sensitive radio telescope indicates a faint heritage brightness, or glow, nearly uniform, that is not associated with any megastar, galaxy, or different item. This glow is most powerful in the microwave region of the radio spectrum.

CMB is landmark proof of the large Bang origin of the universe. when the universe become younger, before the formation of stars and planets, it turned denser, lots warmer, and full of an opaque fog of hydrogen plasma. because the universe elevated the plasma grew cooler and the radiation filling it extended to longer wavelengths. whilst the temperature had dropped enough, protons and electrons blended to shape impartial hydrogen atoms. not like the plasma, those newly conceived atoms couldn't scatter the thermal radiation with the aid of Thomson scattering, and so the universe has become obvious.

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a converging lens made of crown glass has a focal length of 15.0 cm when used in air. if the lens is immersed in water, what is its focal length?

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If the lens is immersed in water, its focal length will be 53.6 cm.

What is focal length of a converging lens?

A converging lens is that causes parallel rays (as of light) to come to a focus. By noticing that parallel light rays entering and leaving the lens would undergo fewer variations in index of refraction if it were surrounded by water, we may provide a conceptual response to this question. They would thus bend less and concentrate further away from the lens.

The focal length of a thin lens in air is the separation between its major foci, also known as focal points, and its center. The focal length is the distance at which a beam of collimated light will be concentrated to a single spot for a converging lens (for instance, a convex lens).

We can answer this question as follows;

1/f = (1.52−1)( 1/R1 - 1/R2) = 1/50

But lens surrounded by water n = 1.3333 we have

1/f = ((1.52/1.3333)−1)( 1/R1 - 1/R2)

Solving for f we get f=53.6cm

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How does sleep heal the body?

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Sleep is very crucial in healing our body. Proper sleep helps person in proper healing from any type of injuries.

The foundational resistant capability is harmed by sleep limitation. A clinical report by Smith et. al showed that sleep limitation deferred skin obstruction recuperation, and sustenance supplementation constricted decrements in nearby safe reactions delivered by rest limitation.

Proper sleep helps in proper flow of blood in all over of our body, due to which any type of injuries which is present in our body gets eliminated in few days.

As Dr. Walker examines in "Why We Rest"; in spite of the fact that competitors know the significance of pre-game rest, they are regularly amazed by the equivalent or expanded significance for rest in the days post-game. He distinguished that post-execution rest speeds up actual recuperation from aggravation, invigorates muscle fix, and restocks cell energy. This shows the really beneficial impacts of sufficient rest on insusceptible capability, actual recuperation, and mending.

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every second, the sun converts about 600 million tons of hydrogen into 596 million tons of helium. the remaining 4 million tons of mass is __________.

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The missing 4 million tons of matter are converted to energy, according to Einstein's equation [tex]E=mc^{2}[/tex].

Our Sun is a huge, massive, spherically shaped object, containing about 99.8% of all the matter in our Solar System.The Sun is a typical star, and is also the star that is nearest to the Earth. It is composed of a mixture of 73% hydrogen, 25% helium, and 2% other elements by weight.The nuclear fusion reactions that produce the sun's energy are converting hydrogen into helium, changing the relative amount of these two elements present in the Sun. In each nuclear conversion 4 hydrogen atoms are combined to produce a helium atom. This reaction occurs throughout the Sun and by this process our Sun converts 600 million tons of hydrogen into 596 million tons of helium every second. The missing 4 million tons of matter are converted to energy, according to Einstein's equation [tex]E=mc^{2}[/tex].As far as we know, only half a billionth of this energy reaches the Earth. The rest is radiated out into space.

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A 0.65 kg ball is attached to the end of a string. It is swung in a vertical circle of radius 0.50 m. At the top of the circle its velocity is 2.8 m/s.

Answers

In a vertical circular motion If the distance is measure from a fixed point is, it will be same at each point. The minimum velocity that the ball must have to make it around the circle is 8.57 m/s.

What is vertical circular motion?

In a vertical circular motion If the distance is measure from a fixed point is, it will be same at each point.

According to the Given information:

The radius of the vertical circle is 1.5 m.

As the ball rotates in the vertical circular motion with constant velocity. Thus the speed of the ball will be same for each point.

Therefore the centripetal force should be same for each point which is,

Here, m is the mass v is the velocity and R is the radius. This centripetal force is balanced by the tension action on the ball (towards the center) and the gravitational force acting on it.

Therefore, For the minimum velocity, the value of tension should be zero.

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Question seems to be incomplete. The complete question be like this

Draw a free body diagram for the ball when it is at the top of the circle. Next to that diagram indicate the direction of its acceleration b. Use that free body diagram to set up the equations needed to determine the Tension in the string. c. Solve those equations for the Tension in the string.

An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T. The spaceship enters a geosynchronous orbit at a distance of R.

Answers

(a) Radius's general expression is  R = ∛T²GM/4π²

(b)The planet's mass during its geosynchronous orbit is 4.9 × 10²⁵ kg.

We are given that,

T = period of the orbit = 26hours

r = radius of the orbit = = 2.1 × 10⁸ m.

G = gravitational constant = 6.674×10⁻¹¹ m³⋅kg⁻¹⋅s⁻²

M = mass of the planet

Putting the value in radius equation we get,

R = ∛T²GM/4π²

8.98 ×10⁷ m = ∛ (26 × 60 × 60)² ×( 6.67 ×10⁻¹¹) M/ 4×(3.142)²

M = (8.98 ×10⁷ m ×39.49 )/ (∛2.86 × 10¹⁸)

M = 4.9 ×10²⁵

As a result, the planet has a mass of  4.9 ×10²⁵kg throughout its geosynchronous orbital period.

The complete question is given below,

An intergalactic spaceship arrives at a distant planet that rotates on its axis with a period of T. The spaceship enters a geosynchronous orbit at a distance of R. a) From the given information, write a general expression for the mass of the planet in terms of G and the variables from the problem statement. b) Calculate the mass of the planet in kilograms if T = 26 hours and R = 2.1 × 108 m.

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Calculate the velocity of a non-relativistic electron whose de broglie wavelength is 3.637 nm.

Answers

The velocity of a non-relativistic electron whose de Broglie wavelength is 3.637 nm is 5.82 x 10^6 m/s.

The velocity of a non-relativistic electron can be calculated using the formula

v = h / mλ

where

h  = Planck's constant

m  = the mass of the electron

λ  = the de Broglie wavelength of the electron.

Now using the above formula, we can easily find the velocity.

We know that the mass of the electron is 9.11 x 10^-31 kg,

the velocity of the electron can be calculated as follows:

v = (6.63 x 10^-34 m^2 kg / s) / (9.11 x 10^-31 kg * 3.637 x 10^-9 m)

This comes out to be approximately 5.82 x 10^6 m/s.

Therefore, the velocity of a non-relativistic electron whose de Broglie wavelength is 3.637 nm is 5.82 x 10^6 m/s.

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Both ?? PLEASE PLEASE THANK YOU SO MUCH

Answers

Answer:

18 kg·m/s

26 kg·m/s

Explanation:

5)  J = Ft = (6N)(3s) = 18 kg·m/s

6)  J = Ft = (6N)(3s) = 18 kg·m/s

J = Δp = p2 - p1

p1 = mv = (4kg)(2m/s) = 8 kg·m/s

p2 = J + p1 = 18 kg·m/s + 8 kg·m/s = 26 kg·m/s

Tsunamis begin when some kind of trigger, such as an earthquake, landslide, or volcano, causes a large part of the surface of the water to rise or fall. True or false: after this sudden displacement of water, gravity acts to balance the water levels back, resulting in a tsunami.

Answers

It is true that a huge portion of the water's surface rises or falls when a trigger, such as an earthquake, landslide, or volcano, causes a tsunami to occur.

An approaching tide may initially resemble a tsunami more than a breaking wave. As a result, it is frequently referred to as a tidal wave, even though the scientific community opposes this terminology because it may give the incorrect idea that tides and tsunamis are directly associated.

Tsunamis frequently consist of a series of waves that travel together in a "wave train" and last anywhere from a few minutes to several hours. Large events could result in waves that are tens of meters high.                                                                                             Although tsunamis only have an influence on coastal areas, they can have a tremendous impact on the entire planet due to their powerful destructive energy.

This proves that the statement that tsunamis start when some sort of trigger, such as an earthquake, landslide, or volcano, causes a significant portion of the water's surface to rise or fall is true.

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What is the frequency of the wave if its time period is 4 seconds?

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The frequency of a wave is 0.25Hertz  if its time period is 4sec. Frequency is said to be inversely proportional to time period.

Frequency alludes to the quantity of cycles in a specific unit of time. The justification for why the sky is blue or anything contains variety can be effectively made sense of by it. Moreover, it can likewise make sense of why the voice of certain people is profound while for others it isn't profound. Likewise, frequency plays a major effect on the notes of a piano or other instruments.

This number of events is unquestionably a fundamental property of a wave. The waves encompass individuals consistently. Moreover, light is an electromagnetic wave and the fan is a sound wave. A wave is surely a vibration and conveys energy with it. Generally imperative, the quantity of waves passing by each second alludes to the recurrence of the wave. Also, its estimation happens in Hertz (Hz).

So, we know that frequency is defined as inversely proportional to time period.

So, frequency=1/Time period

=>v=1/4

=>v=0.25/sec

or v=0.25Hertz.

Hence, frequency of wave is 0.25Hertz.

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Avanti works in a bookstore. She has four books and is going to place them in two stacks. The diagram above shows the books before they touch. Use the information in the diagram to answer the question.

How did the temperatures of the four books compare before they touched? How will the temperatures of the two top books compare after the books have been touching for a while, and why?

Answers

Answer:

Below

Explanation:

Black books were cooler in temp than yellow books to start

   after a while they will all be the same temp

      Stack 1 will be cooler(around 4)  than stack 2 (around 5)

Need help! Thanks lots!

Answers

The air bag reduces the force by increasing the time it takes the passenger to stop moving.

How does airbag make people safer ?Despite the fact that airbags are a widespread and necessary safety feature, few of us understand how they function in our cars. A processing unit chooses which airbags in the automobile to deploy in a crash based on data from any of a myriad of sensors.Depending on the severity of the crash, the frontal airbags can deploy with varied degrees of force. When the threshold is exceeded, an electrical pulse ignites a gas, triggering the airbags. This generates enough nitrogen gas in less than 30 milliseconds to fully inflate the airbag. Some airbags only deploy if the weight of a passenger in the relevant seat is detected, which means an airbag will not deploy if there is no passenger to protect.When you are involved in an automobile accident, airbags inflate when a sensor connected to your vehicle's airbag senses a collision. They are filled with nitrogen gas and deflate when the driver or passengers come into touch with the airbag.What is airbag system ?They're air cushions inflated in fractions of a second by a fast-acting inflator to protect you from your car's interior hardpoints, such as the dashboard, steering wheel, windscreen, and roof pillars, which are triggered during an accident. It inflates so quickly that it's already fully inflated when your body moves. If you're wondering where your airbags are, don't look in the steering wheel. They are embedded throughout the interior padding of the car, with perforated seams that allow them to deploy.

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Do naps count as sleep?

Answers

No, naps are not count as sleep. Power naps are very crucial in person daily activity.

There are many advantages to be had from a decent naps. Snoozing can diminish weariness, further develop readiness and memory, and lift efficiency. It can likewise assist with loosening up you and diminish feelings of anxiety.

Moreover, naps have a not insignificant rundown of different advantages, including further developed temperament, response time, and memory - for that reason youngsters need weighty snoozing after school. Snoozing additionally advances muscle building. So in the event that you're searching for a simple method for working on your general wellbeing and prosperity, exploiting the many advantages of resting is an extraordinary spot to begin!

Napping can be helpful to your wellbeing in some ways, yet it doesn't consider sleep. Naps don't consider rest on the off chance that they happen during the day-they are viewed as a type of rest all things being equal!

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When an object's momentum changes, usually that means its velocity has charged. What must happer fo
an object's velocity to change?
a. Its mass increases
b. An outside force acts upon it
c. Its mass decreases
d. Its momentum must stay the same

Answers

Answer:

b. An outside force acts upon it

Explanation:

b

According to the Newton’s 1st Law, an object will keep resting or keep moving at the constant velocity unless some force acts upon it

Which theory states that the universe originated as a single mass?

Answers

Answer:

The Big Bang Theory

Explanation:

Today, the consensus among scientists, astronomers and cosmologists is that the Universe as we know it was created in a massive explosion that not only created the majority of matter, but the physical laws that govern our ever-expanding cosmos. This is known as The Big Bang Theory.

Alfredo deDarke often leaves household appliances on for no good reason (at least according to his parents). The deDarke family pays 15¢/kilowatt-hour (i.e., $.15/kW•hr) for their electrical energy. Express your understanding of dollar power by filling in the following table.

Answers

Answer: $15 /KW.hr

What is Watt hour?

--A Watt Hour is a unit of measurement for power over a period of time (an hour), a way of measuring capacity.

-- One Watt hour is equal to one Watt of average power flow over an hour.

What is power?

--Power as the rate of doing work, it is the work done in unit time.

-- The SI unit of power is Watt (W) which is joules per second (J/s).

In above questions deDaeke family pay $15/Kilowatt .hour which means it pay $15 when used 1kilowatt power in 1hour i.e. 3.6 ×10^6 joule.

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An electric dipole with its center located at the origin of a Cartesian coordinate system oscillates along the x axis, creating an electromagnetic wave.a. At a position on the z axis far from the origin, what is the polarization of the wave?b. At a position on the axis far from the origin, what is the polarization of the wave?

Answers

Along the z-axis, the wave moves, Along the x-axis, the polarization is linear. When a dipole oscillates, it indicates that the two charges that make up the dipole oscillate all along line connecting them,

What exactly is oscillation?

A Simple pendulum's oscillatory oscillation is described as its periodic back and forth motion. One oscillation of the a pendulum occurs when the bob moves back and forth starting from one end and ending in the same place.

What is motion-induced oscillation?

The body moving back and forth about its fixed location is referred to as oscillatory motion. A form of periodic motion is oscillatory motion. Vibrating strings and swinging are examples of oscillatory motion.

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A piano tuner stretches a steel piano wire with a tension of 765 n. the steel wire has a length of 0.900 m and a mass of 6.75 g. a. What is the frequency f1 of the string's fundamental mode of vibration?b. What is the number n of the highest harmonic that could be heard by a person who is capable of hearing frequencies up to f = 16 kHz?

Answers

A)The frequency f1 of the string's fundamental mode of vibration is 177.42 Hz.

B) The number n of the highest harmonic is 90.

The Tension in the String is 765 N.

Steel wire length L is 0.900 m

The mass of the string m is 6.75 g = 6.75 × [tex]10^{-3}[/tex] kg.

Frequency of the string = n ×(Velocity of the wave on the String/(2L) )

The velocity of the wave on the string V=[tex]\sqrt{} \frac{T}{M/L}[/tex]

V= [tex]\sqrt{} \frac{765}{675 * 10^{-3}/0.9}[/tex]

v = 319.37 m/sec

For Fundamental Frequency n = 1

Frequency = V / 2L

f = 319.37 / (2*0.9)

f = 177.42 Hz

Therefore Fundamental Frequency of the String is 177.42 Hz.

Frequency f = 16 kHz

The velocity of the wave on the string v = 319.37 m/sec

Frequency of the string f = n ×(Velocity of the wave on the String v /(2L) )

n = f × (2L / v)

n = 16×10³ (2*0.9 / 319.37)

n = 90.17

n ≈ 90

The number of Harmonics is 90.

In physics, anxiety is described as the pulling pressure transmitted axially with the aid of the manner of a string, a rope, chain, or comparable object, or by way of each stop of a rod, truss member, or comparable three-dimensional object; anxiety may also be described because the action-response pair of forces acting at every end of said factors. tension might be the alternative to compression.

On the atomic level, whilst atoms or molecules are pulled other than every other and benefit potential electricity with a restoring force nevertheless present, the restoring force may create what is also referred to as tension. every stop of a string or rod under such anxiety ought to pull on the item it's far attached to, to be able to repair the string/rod to its secure length.

Anxiety (as a transmitted force, as a motion-response pair of forces, or as a restoring pressure) is measured in newtons in the international system of gadgets (or pounds-pressure in Imperial devices). The ends of a string or different object transmitting tension will exert forces on the gadgets to which the string or rod is attached, inside the route of the string on the factor of attachment. these forces because of tension also are called "passive forces". There are fundamental opportunities for structures of items held through strings: both accelerations are 0 and the system is therefore in equilibrium, or there may be acceleration, and consequently, an internet force is present in the gadget.

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There is strong evidence that Europa, a satellite of Jupiter, has a liquid ocean beneath its icy surface. Many scientists think we should land a vehicle there to search for life. Before launching it, we would want to test such a lander under the gravity conditions at the surface of Europa. One way to do this is to put the lander at the end of a rotating arm in an orbiting earth satellite. If the arm is 4.25 m long and pivots about one end, at what angular speed (in rpm) should it spin so that the acceleration of the lander is the same as the acceleration due to gravity at the surface of Europa? The mass of Europa is 4.80 x 10^{22} kg and its diameter is 3120 km.

Answers

The angular speed of the lander at the end of the rotating arm is 4.98 rpm.

It is given to us that -

The radius of the rotating arm = 4.25 m

Mass of the Europa = [tex]4.80 * 10^{22}[/tex] kg

Diameter of the Europa = 3120 km

=> Radius of the Europa = 3120/2 = 1560 km = 1,560,000 m

We have to find out the angular speed (in rpm) at which the rotating arm should spin so that the acceleration of the lander is the same as the acceleration due to gravity at the surface of Europa.

Firstly, we have to find out the acceleration due to gravity of the Europa. We know that the force on the Europa can be given as -

[tex]F = Mg\\= > Mg = \frac{G*m*M}{R^{2} } \\= > g = \frac{G*m}{R^{2}}\\= > g = \frac{(6.67 * 10^{-11} )*(4.80*10^{22} )}{1560000^{2} } \\= > g = 1.19 m/s^{2}[/tex] ----- (1)

It is given to us that -

Acceleration of the lander = Acceleration due to gravity at the Europa

[tex]= > a_{l} = g\\= > a_{l} = 1.19 m/s^{2}[/tex] ----- (2)    [From equation (1)]

Now, to calculate the angular speed of the lander, we can use the formula as -

[tex]= > a_{l} = w^{2} r\\= > w^{2} = \frac{a_{l} }{r} \\[/tex] ----- (3)

where,

[tex]a_{l}[/tex] = Acceleration of the lander

[tex]w[/tex] = angular speed of the lander

r = radius of the rotating arm

Substituting the values of [tex]a_{l}[/tex] from equation (2) and r in equation (3), we have -

[tex]w^{2} = \frac{a_{l} }{r}\\= > w^{2} = \frac{1.19 }{4.25}\\= > w^{2} = 0.28\\= > w = 0.529 rad/s[/tex]

In order to convert the angular speed in rpm, we have to use -

[tex]w = 0.529 rad/s\\= > w = 0.529 * \frac{1 rev * 60 s}{2\pi rad*1 min}\\ = > w = 4.98 rpm[/tex]

Therefore, the angular speed of the lander at the end of the rotating arm is 4.98 rpm.

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Astronomers use the _______ of stars to determine how hot they are and their _______ to estimate how far away they are.

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Astronomers use the colour of stars to determine how hot they are and their brightness to estimate how far they are.

When astronomers are in space and studying the nature of stars.

The colour of the star change according to the temperature of the star. If the star is more red in colour it is supposed to have more temperature that of a star which has a fade colour.

To estimate the distance of the stars from the astronomers, they use the brightness of the star as a factor to calculate the distance between them.

If the brightness of the star is less it is supposed to be more distant from the astronomers and vice versa.

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a star has a distance of 30 parsecs and a apparent magnitude of 3 --what would its absolute magnitude be?

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The absolute magnitude of the star would be +5.

The absolute magnitude of the star is dependent on the apparent magnitude and distance which is measured in parsecs.

A measurement of distance in astronomy that is approximately 3.26 light years (3.086 x 10^13 km) long. The distance at which the mean radius of the earth's orbit subtends an angle of one second of arc is equal to one parsec.

A measure of a celestial object's luminance on an inverse logarithmic astronomical magnitude scale is called absolute magnitude (M). The absolute magnitude of an object is the apparent magnitude that the object would have if it were seen from a distance of exactly 10 parsecs (32.6 light-years), without the light of the object being extinguished (or dimmed) owing to absorption by interstellar materials and cosmic dust. The luminosities of the various objects can be directly compared to one another on a magnitude scale by putting them all hypothetically at a fixed reference distance from the observer.

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is the sports car in question 9 has twice the speed of the minivan which vehicle has the higher kninetic energy wh

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The sports car has more kinetic energy.

The sports car will have more kinetic energy as it has more mass than a minivan.

What is the relationship between kinetic energy and mass?

The equation for Kinetic Energy is

KE = 1/2 mv2.

Kinetic energy has a direct relationship with mass, meaning that as mass increases so does the Kinetic Energy of an object.

Objects with greater mass can have more kinetic energy even if they are moving more slowly, and objects moving at much greater speeds can have more kinetic energy even if they have less mass.

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Due to its higher mass than a minivan, the sports vehicle will contain more kinetic energy.

What are some instances of kinetic energy?

Kinetic energy, which may be seen in the mobility of an item or nuclear particle, is the fuel of motion. Kinetic energy is present in every particle and moving thing. Illustrations of kinetic energy in action include a person walking, a baseball soaring through the air, a piece of food sliding from a table, and then a charged molecule in an electric field.

What are the top 3 kinetic energy facts?

An object's kinetic energy multiplies by four when its speed doubles. The Greek word "kinesis," which implies motion, is where the word "kinetic" originates. A collision is one way that kinetic energy may be transmitted from one item to another.

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a 0.145 kg baseball is pitched at 39 m/s is hit on a horizontal line drive straight back to the pitcher. what is the avaerage force

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Ft = mv, where the average force is 13195N.

At this point, v = 39.0 m/s - (52.0 m/s) = 91 m/s.

Because the ball ultimately moves in this same reverse direction since making contact to it, 52 is negative.

F = 13195N

Any impact which could alter an item 's movement is referred to as a force in physics. Every body having weight can modify the velocity, or accelerate, in response to something like a force by shifting away off rest, for example. Subjectively, a concerted effort or a pull may also be employed to represent force.

As a vector quantity, a force is one that has simultaneous magnitude and direction. It is calculated using newtons as the SI unit of measure (N). It is a mechanically accepted quantity. F is a symbol that stands for force (formerly P).

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a block with a mass of 200 g is connected to a light horizontal spring of force constant 5.00 n/m and is free to oscillate on a horizontal, frictionless surface. find the period of its motion.

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A 200-gram block may freely oscillate on a longitudinal, stationary object for 1.26 seconds while being attached to a light longitudinal spring with a force constant of 5.00 n/m.

m = 200g = 0.2 kg

A = 5cm = 0.05 m

A = 5cm = 0.05 m

k = 5 (N ÷ m)

T = 2π √m ÷ k, We may calculate the period and, thus, the frequency by measuring the length of one full oscillation. Be aware that the period in the case of a block is separate from the mass, but the period in the case of a mass on a spring is irrespective of the spring's length.

T = 2π √m ÷ k

T = 2π √0.2 ÷ 5

T = 1.26 s

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