A typical small rescue helicopter has four blades, each is 4.00 m long and has a mass of 50.0 kg. The blades can be approximated as thin rods that rotate about one end of an axis perpendicular to their length. The helicopter has a total loaded mass of 1000 kg (including the four blades). (a) Calculate the rotational kinetic energy in the blades as they rotate at 300 rev/min.

Answers

Answer 1

Answer:

I1 = 1/3 m L^2 = 50 * 4^2 / 3 = 267 kg-m^2     inertia of one blade

I = 4 * I1 = 1067 kg-m^2      inertia of rotor

f = 300/min = 5 / sec

ω = 2 pi * f = 31.4 / sec

KE = 1/2 * I * ω^2 = 526,000 J      energy of rotor

Answer 2

The rotational kinetic energy in the blades as they rotate at 300 rev/min is 526,000 J.

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

Given in the question a helicopter has four blades, each is 4.00 m long and has a mass of 50.0 kg. The helicopter has a total loaded mass of 1000 kg than rotational kinetic energy,

\(I_1\) = 1/3 m L^2 = 50 * 4^2 / 3 = 267 kg-m² is inertia of one blade

I = 4 * \(I_1\) = 1067 kg-m² is inertia of rotor with four blade

f = 300/min = 5 / sec

ω = 2\(\pi * f\)   = 31.4 / sec

Rotational Kinetic Energy = 1/2 * I * ω²

                                            = 526,000 J   is energy of rotor.

The rotational kinetic energy in the blades as they rotate at 300 rev/min is 526,000 J.

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Related Questions

Decide whether the following statement is true (T) or false (F).

Original seat belt designs were 2-point or lap belts

1. True
or
2. False

Answers

I really hope this is true. also pay no attention to this answer I'm doing it to finish my account

Answer:

True

Explanation:

See picture.

Decide whether the following statement is true (T) or false (F).Original seat belt designs were 2-point

Why is pollution a threat to biodiversity?

Answers

It is estimated that the current rate of species extinction is between 1,000 and 100,000 times more rapid than the average rate during the last several billion years. The growth of human populations, consumption levels, and mobility is the root of most of the serious threats to biodiversity today.

Which of the following is not a way to make exercising on a cold day safer?
A. Wear gloves and thick socks.
B. Dress in several layers instead of wearing one bulky garment for warmth.
C. Drink hot tea during your workout.
D. Wear a synthetic or wool hat.
I NEED HELP ASAP FIRST ANSWER GETS BRAINLIEST

Answers

Answer:

D.

Explanation:

I think its D. because Tea during a cold workout isnt safe at all. Drinking tea while working out adds weight and you just simply dont need tea when working out.. Hope this helps man :)

C. You shouldn't exercise while drinking hot tea because you can spill it and burn yourself especially while on a treadmill.

If this helped please mark me as brainliest!

\(\left[\begin{array}{ccc}Thanks,\\JustSomeIdiot\end{array}\right]\)

You push on a light object (small mass) with a certain amount of force and it moves. If you push just as hard on a heavier object (large mass) it will move _____ the light object. a. Faster than b. slower than c. the same as

Answers

Answer: B

Explanation:

It will move slower than the light the object. The equation is Newton's 2nd Law of F = ma. If the force is constant, and the mass changes to something larger, then the acceleration must become smaller. You could also just do this yourself, push two objects with your hands. The heavier one will move slower assuming you used the same amount of force

an object is placed in front of a mirror, and the magnification of the system is 12. what does this number tell you about the nature of the mirror?

Answers

The number 12 tells us that the mirror is a concave mirror, as this is the only type of mirror that can produce an image of a real object that is magnified.

An image that has been enlarged is reflected back from a concave mirror's shallow inward curve, which concentrates light rays into a single point.

Contrast this with a convex mirror, which has a curved outer surface that spreads the light rays out, giving the image less clarity.

A magnification of 12 indicates that the size of the image is 12 times larger than the size of the object. Magnification is computed by dividing the size of the image by the size of the object.

Complete Question:

An  object is placed in front of a mirror, and the magnification of the system is 12. What does this number tell you about the nature of the mirror?

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A uniform metal bar 100cm long balances at 20cm mark when a mass of 1.5kg is attached at 0cm mark calculate the weight of the bar (take g=10n/kg)

Answers

Answer:

1.6 ml

Explanation:

What is the thickness of the Lithosphere

Answers

Answer: about 100 km[kilometers] thick

Explanation:

Answer:

about 100 km thick

Explanation: I searched it up on google <3

a novelty clock has a 0.0100-kg-mass object bouncing on a spring that has a force constant of 1.3 n/m. what is the maximum velocity of the object if the object bounces 3.00 cm above and below its equilibrium position? m/s how many joules of kinetic energy does the object have at its maximum velocity? j

Answers

The maximum velocity of the object is 0.0272 m/s, and the kinetic energy it has at that point is 3.76 × 10⁻⁶ J.

The maximum velocity of the object and the amount of kinetic energy it has at that point can be found using the given values. Here's the step-by-step solution: Given data: Mass of the object, m = 0.0100 kg Force constant of the spring, k = 1.3 N/m Displacement of the object, d = 3.00 cm = 0.0300 m We know that the maximum velocity of the object can be determined using the following formula: v = ±√(2K/m)where, K = Potential Energy and m = mass of the object. The potential energy of the system can be obtained using Hooke's law.

According to Hooke's law, F = -k x Where, F = restoring force k = force constant x = displacement of the object from the equilibrium position. By using the above formula, we can find the force acting on the object. F = k x'. Force acting on the object, F = 1.3 N/m × 0.0300 m = 0.039 N. The restoring force is acting in the opposite direction of the displacement of the object. So, the force acting on the object is negative, i.e., F = -0.039 N. Now, we can calculate the potential energy of the system. K = (1/2)kx²K = (1/2) × 1.3 N/m × (0.0300 m)²K = 5.85 × 10⁻⁵ J By using the above value of potential energy and mass of the object, we can calculate the maximum velocity of the object. v = ±√(2K/m)v = ±√[(2 × 5.85 × 10⁻⁵ J) / 0.0100 kg]v = ±0.0272 m/s.

The maximum velocity of the object is 0.0272 m/s (rounded off to four significant figures).Now, we can calculate the amount of kinetic energy the object has at that point by using the following formula. Kinetic energy, K = (1/2)mv²where m = 0.0100 kg and v = 0.0272 m/s K = (1/2) × 0.0100 kg × (0.0272 m/s)²K = 3.76 × 10⁻⁶ J. The amount of kinetic energy the object has at its maximum velocity is 3.76 × 10⁻⁶ J (rounded off to three significant figures).So, the maximum velocity of the object is 0.0272 m/s, and the kinetic energy it has at that point is 3.76 × 10⁻⁶ J.

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Shown following are several times in the history of the universe. Rank these times from left to right based on the average temperature of the universe at each time, from coolest to hottest.
1 million years after the Big Bang
today
100 million years after the Big Bang
500,000 years after the Big Bang
1.5 billion years after the Big Bang

Answers

The  rank of these times from left to right based on the wavelength of this photon would have at each time, from shortest to longest are:

500,000 years after the Big Bang.

1 million years after the Big Bang.

100 million years after the Big Bang.

1.5 billion years after the Big Bang.

Today.

What are photon wavelength and frequency?

There is a wavelength and a frequency for every photon. The distance between two electric field peaks with the same vector is known as the wavelength. The number of wavelengths a photon travels through each second is what is known as its frequency. A photon cannot truly have a color, unlike an EM wave.

Therefore, In the standard model of particle physics, the photon is a fundamental particle. It has no discernible wavelength. The table describes it as a point particle with mass 0 and spin 1.

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A circular hoop of mass , radius , and infinitesimal thickness rolls without slipping down a ramp inclined at an angle with the horizontal. Part A What is the acceleration of the center of the hoop? Express the acceleration in terms of physical constants and all or some of the quantities m,r ,theta Part B What is the minimum coefficient of (static) friction needed for the hoop to roll without slipping? Note that it is static and not kinetic friction that is relevant here, since the bottom point on the wheel is not moving relative to the ground (this is the meaning of no slipping).

Answers

The answers are Part A: The acceleration of the centre of the hoop is a = μ * g and Part B: The minimum coefficient of static friction required is μ >= \(sin(\theta).\)

Part A: To determine the acceleration of the centre of the hoop, we can consider the forces acting on it. The gravitational force can be decomposed into two components: one parallel to the ramp and the other perpendicular to it. The component parallel to the ramp is responsible for accelerating the hoop down the incline. It can be calculated as m * g * sin(theta), where m is the mass of the hoop and theta is the angle of the ramp with the horizontal.

Since the hoop is rolling without slipping, the frictional force opposes the motion and prevents slipping. The frictional force can be expressed as the product of the coefficient of friction (μ) and the normal force. The normal force acting on the hoop is equal to the weight of the hoop, which is m * g. Therefore, the frictional force is μ * m * g.

Considering the torque equation for rolling motion, the torque due to the net force on the hoop must be equal to the product of the moment of inertia (I) and the angular acceleration (α). For a hoop, the moment of inertia is given by \(I = m * r^2\).

By equating the torque and the net force, we have:

\(\mu * m * g * r = m * r^2 * \alpha\)

Since the hoop rolls without slipping, the linear acceleration (a) of the center of the hoop is related to the angular acceleration as a = r * α.

Substituting this into the equation above, we have:

μ * g = r * α

Therefore, the acceleration of the center of the hoop is given by a = μ * g.

Part B: The minimum coefficient of static friction (μ) required for the hoop to roll without slipping can be determined by considering the limiting condition when slipping is about to occur. In this case, the maximum static frictional force (\(f_s\)) is equal to the product of the coefficient of static friction and the normal force.

The normal force acting on the hoop is equal to the weight of the hoop, which is m * g. Therefore, the maximum static frictional force is μ * m * g.

To prevent slipping, the maximum static frictional force must be greater than or equal to the component of the gravitational force parallel to the ramp, which is m * g * sin(theta).

Setting up the inequality, we have:

μ * m * g >= m * g * \(sin(\theta)\)

Canceling out the mass and gravity terms, we obtain:

μ >= \(sin(\theta)\)

Therefore, the minimum coefficient of static friction needed for the hoop to roll without slipping is equal to the sine of the angle of the ramp with the horizontal, μ >= \(sin(\theta).\)

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A beam of light has a wavelength of 420 nm. What is the frequency of that light?

Group of answer choices

1.40 E −6 hz

7.14 E 14 hz

1.26 E 11 hz

7.14 E 3 hz

Answers

The frequency of the beam of light with a wavelength of 420 nm is 7.14×10¹⁴Hertz (2nd option)

How do I determine the frequency of the beam of light?

Frequency of light wave is related to wavelength and speed of the light according to the following formula:

Velocity (v) = wavelength (λ) × frequency (f)

From the question given above, the following data were obtained:

Wavelength (λ) = 420 nm = 420 × 1×10⁻⁹ = 420×10⁻⁹ metersSpeed of ligt wave (v) = 3×10⁸ m/sFrequency of light (f) =?

The frequency can be obtained a as follow:

Velocity (v) = wavelength (λ) × frequency (f)

3×10⁸ = 420×10⁻⁹ × frequency of light wave

Divide both sides by 420×10⁻⁹

Frequency of light wave = 3×10⁸ / 420×10⁻⁹

Frequency of light wave = 7.14×10¹⁴Hertz

Thus, from the calculation, it is evident that the frequency is 7.14×10¹⁴Hertz (2nd option)

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a window-mounted air conditioner removes 3.5 kj from the inside of a home using 1.75 kj work input. how much energy is released outside and what is its coefficient of performance?

Answers

The amount of heat released outside is 3.5 kJ and the coefficient of performance is 2.

What is efficiency of a machine?

The efficiency of the a machine or any device is the measure of effectiveness of the device. Efficiency describes how a machine converts input energy to output energy without wasting much of the input energy.

Mathematically, efficiency of a machine is given as;

E = output energy / input energy  x 100%

The coefficient of performance  (COP) of a heat pump, refrigerator or air conditioning system is a ratio of useful heating or cooling provided to work required.

The energy released outside = 3.5 kJ

COP = 3.5 kJ / 1.75 kJ

COP = 2

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Why is atmospheric pressure greater at low elevations and less at higher elevations?

Answers

Earth's gravity pulls air as close to the surface as possible. As altitude increases, the amount of gas molecules in the air decreases—the air becomes less dense than air nearer to sea level.

what are the precautions you should take for measuring length with a ruler

Answers

There are various precautions that should be kept in mind while measuring length with a ruler.

The following safety measures should be followed when using a ruler to measure the length:

Take care to keep the ruler parallel to the object's length. Keep the item to be measured parallel to and contacting the scale.A ruler with damaged edges should not be used to take readings from the zero point. If the ruler's edge is damaged or worn out, it is best to start measuring from a fully clear point. For instance, the length is 5 cm if you measure from the 2 cm mark to the 7 cm mark (7 cm – 2 cm = 5 cm).Eyes should be directly over the area that will be measured. You could get inaccurate results if your eyes are in different places.The object to be measured should be correctly supported on the scale such that one end of it lines up with the zero mark.

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Satellite's A and B orbit the Earth above the exact same point on the Earth's surface. Satellite A is one mile from the Earth's surface, while Satellite B is 1.5 miles from the Earth's surface. What do the motion of the two satellites share in common?
A) Their linear velocities
B) Their angular velocities
C) The length of their orbits
D) Their linear accelerations

Answers

Answer:A) Their linear velocitie

Explanation:


How many times faster are plates moving at
7.3 cm/year than those moving at 1.3 cm/year?

Answers

Plates moving at 7.3 cm/year are approximately 5.615 times faster than those moving at 1.3 cm/year.

The speed at which plates move is determined by the relative motion between tectonic plates along their boundaries. To compare the speeds of plates moving at different rates, we can calculate the ratio between their velocities.Let's consider plates moving at 7.3 cm/year and 1.3 cm/year. To find the factor by which the faster plates are moving compared to the slower plates, we divide their velocities:

7.3 cm/year / 1.3 cm/year = 5.615

In other words, for every unit of time, the faster plates cover approximately 5.615 times the distance covered by the slower plates. This difference in speed can have significant implications for geological processes such as the accumulation of strain along plate boundaries, the occurrence of earthquakes, and the formation of mountain ranges. It highlights the dynamic nature of tectonic plate movements and their influence on Earth's geology and surface features.

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Using the conductor sizing guide, what conductor ampacity is needed for a 10-horsepower, 230-volt, single-phase motor: a.50 A
b.60 A
c.62.5 A
d.87.5 A

Answers

The correct conductor ampacity for a 10-horsepower, 230-volt, single-phase motor is option c. 62.5 A.

The ampacity of a conductor is a measure of the maximum amount of electrical current that can flow through it safely. The ampacity required for a motor is based on the size of the motor and the voltage of the electrical system. There are standard methods for determining the minimum ampacity for a given motor and voltage, such as the National Electric Code (NEC) and the American National Standards Institute (ANSI). The NEC and ANSI both state that the minimum ampacity for a 10-horsepower, 230-volt, single-phase motor is 62.5 amperes. It's important to note that using a conductor with ampacity lower than the recommended one may cause the motor to overheat and fail, leading to damage or even fire hazard.

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comets tend to be ________ than asteroids, and it is estimated that there are far ___________ large comets than large asteroids.A. Crust and MantleB. Faster and MoreC. Hydrogen and HeliumD. Change in climate and core

Answers

"Comets tend to be faster than asteroids, and it is estimated that there are far more large comets than large asteroids." Correct option is B.

As comets typically originate from farther out than asteroids do, they move at faster speeds when they cross Earth's orbit: An asteroid would need to be larger than 10 kilometres in diameter, whereas a comet would only need to be about 7 kilometres in diameter to hit Earth with enough energy to form Chicxulub crater.

Two factors that differentiate a comet from an asteroid are shape of the orbit and chemical composition.

There are asteroids that are spherical, curved, and even have satellites. A comet circles the Sun similarly to an asteroid, but unlike an asteroid, it is made of ice and dust. Therefore, a comet's ice and dust composition begin to vaporise as it approaches the Sun. Consequently, a comet looks fuzzy and/or has a tail when viewed through a telescope.

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HELP HELP HELP NOW PLEASEEEEEEE

how could you increase the kinetic energy of a wagon without increasing its mass?

Answers

Answer:

use newtons gravity of law by launching a watermelon in frot of the wagon

Explanation:

what are the processes by which moisture is added to unsaturated air?

Answers

Evaporation and sublimation are the mechanisms through which moisture is introduced to unsaturated air.

Unsaturated air has a relative humidity substantially lower than 100%, while saturated air is thought to have a relative humidity of 100%. The opposite of saturated air is unsaturated air, which contains less water vapour but has a greater capacity to hold it. By changing the temperature, you may switch between the two types of air. Just bring the unsaturated air's temperature down till it becomes saturated. Any air with a moisture content greater than zero is capable of doing that. Liquid water is converted into vapor by evaporation and transpiration, and this vapor rises into the atmosphere as a result of rising air currents.

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Newton's first law of motion: Objects in motion will stay in motion and objects at rest will stay at rest, unless acted on by
a. friction
b. acceleration
c. unbalanced force
d. contact force​

Answers

Newton's first law states that every object will remain at rest or in uniform motion in a straight line unless compelled to change its state by the action of an external force. This is normally taken as the definition of inertia

what is lever? state the principal of liver.​

Answers

a uniform lever at equal distances from the fulcrum counteract each other and establish a state of equilibrium, or balance, in the lever. ...
Rod shaped rigid bar which works by rotating freely on the fixed point is called lever
Hope it helps

what is diamagnetic materials, paramagnetic materials, ferromagnetic materials?​

Answers

Answer:

Diamagnetic materials are those that some people generally think of as non-magnetic, and include water, wood, most organic compounds such as petroleum and some plastics, and many metals including copper, particularly the heavy ones with many core electrons, such as mercury, gold and bismuth.

Paramagnetic Materials: These are metals that are weakly attracted to magnets. They include aluminum, gold, and copper. The atoms of these substances contain electrons most of which spin in the same direction but not all.

Ferromagnetic materials are those materials which exhibit a spontaneous net magnetization at the atomic level, even in the absence of an external magnetic field. When placed in an external magnetic field, ferromagnetic materials are strongly magnetized in the direction of the field.

Explanation:

How is sound produced? Please respond in 1-2 complete sentences using your best grammar.

Answers

Answer: Sounds are made when objects vibrate. The vibration makes the air around the object vibrate and the air vibrations enter your ear, You hear them as sounds

Explanation:

Question 5 (1 point)
A child kicks a ball horizontally with a speed of 4.8 m/s off a deck 3.5 m off the
ground. How far, in meters, from the deck does the ball land on the ground?

Answers

Answer:

The horizontal distance the ball travels is approximately 4.055 meters

Explanation:

The given parameters are;

The height from which the child kicks the ball = 3.5 m

The horizontal speed of the ball = 4.8 m/s

Therefore, we have;

The time it takes the ball to hit the ground is given by the relation;

h = u·t + 1/2·g·t²

Where;

u = The initial vertical velocity of the ball = 0 m/s

t = The time it takes the ball to hit the ground

g = The acceleration due to gravity = 9.81 m/s²

h = The height of the ball = 3.5 m

3.5 = 0 × t + 1/2 × 9.81 × t²

3.5 = 1/2 × 9.81 × t²

∴ t² = 3.5/(1/2 × 9.81)

∴ t = √(3.5/(1/2 × 9.81) = 0.8447 s

t ≈ 0.8447 s

The time the ball takes in flight = t ≈ 0.8447 s

Therefore;

The horizontal distance the ball travels = The horizontal velocity × The time of flight

∴ The horizontal distance the ball travels = 4.8 × 0.8447 ≈ 4.055

The horizontal distance the ball travels ≈ 4.055 meters.

Question 38
All of the following are true about ozone as a disinfectant except which one?
a. Nontoxic to aquatic organisms
b. Source of dissolved oxygen
c. Excellent viricide
d. Long-lasting residual

Answers

The correct answer is A. Nontoxic to aquatic organisms. While ozone is an effective disinfectant and viricide, it is not nontoxic to aquatic organisms and can have negative impacts on aquatic life if not used properly.

Ozone can also be a source of dissolved oxygen and have a long-lasting residual effect.

The correct answer is: d. Long-lasting residual

All of the following are true about ozone as a disinfectant except that it has a long-lasting residual. Ozone is nontoxic to aquatic organisms, a source of dissolved oxygen, and an excellent viricide. However, it does not have a long-lasting residual effect, as it decomposes quickly.

A disinfectant is a chemical agent that is used to kill or eliminate harmful microorganisms, such as bacteria, viruses, and fungi, from surfaces, objects, or fluids. Disinfectants are commonly used in hospitals, schools, homes, and other settings to prevent the spread of infectious diseases.

Disinfectants work by disrupting the cell membranes or other structures of microorganisms, leading to their death or inactivation. Some common disinfectants include chlorine bleach, hydrogen peroxide, quaternary ammonium compounds, and alcohol.

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When variable frequency speed control is used on a motor with a nameplate rating of 480v at 60 hz the voltage-to frequency ratio is?

Answers

The voltage-to-frequency ratio is 8 when using variable frequency speed control on a motor with a nameplate rating of 480v at 60 hz.

Variable frequency: What does that mean?

A drive that alters the frequency of the current going to a non-servo AC motor to change the motor's speed but not its precise location.

How does variable frequency control work?

The Frequency Can Change An induction motor's speed can be managed by the application of control. By adjusting the supply frequency, the motor speed and synchronous speed can both be managed.

Variable speeds – what are they?

A variable speed limit is a flexible restriction on how fast drivers are allowed to travel along a certain section of road. Depending on the environment and the state of the roads, the posted speed limit fluctuates.

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can someone please help me ​

can someone please help me

Answers

Answer:

M a = (M1 + M2) a = F         Newton's Second Law

F = (M2 - M1) g         net force on the system

a = (M2 - M1) / (M1 + M2) g

a = (9 - 7) / (9 + 7) g = 2 / 16 * 10.0 m/s^2 = 1.25 m/s^2

What is the line segment formula?

Answers

Formula of

Line segment

is AB =

\(\sqrt{(x_{2} -x_{1} )^{2} } +\sqrt{(y_{2} -y_{1} )^{2} }\)

                                                                             

Line segment

is a part of line with definite length. It has two ending points whereas a line has no end points and extended infinitely in both the direction. Line which joins both ending points with possible shortest way is known as

Line segment

.

            A ______________________ B    

        (x₁,y₁)                                             (x₂,y₂)      

This line segment can be represented as \(\frac{}{AB} /\frac{}{BA}\). In other word we can say line segment is

subset

of line, so it contains all the points of line lying between both end point of segment. For shorter length it can simply measure by

ruler

. A bar (-) is always on top of its notation {\(\frac{}{AB}\)}.

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Formula of Line segment is AB =  \(\sqrt{(x_{2}-x_{1})^{2} } +\sqrt{(y_{2}-y_{1})^{2} }\)

                                       

Line segment

is a part of line with a definite length. It has two ending points whereas a line has no end points and extended infinitely in both the direction. Line which joins both ending points with possible shortest way is known as

Line segment

        A ______________________ B    

       (x₁,y₁)                                             (x₂,y₂)      

This line segment can be represented as\(\overline{AB}/\overline{BA}\) . In other word we can say line segment is subset of line, so it contains all the points of line lying between both end point of segment. For shorter length it can simply measure by ruler A bar (-) is always on top of its notation {\(\overline{AB}/\overline{BA}\)}.

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Deimos, a satellite of Mars, has an average radius of 6.3 km. If the gravitational force between Deimos and a 3.0 kg rock at its surface is 2.5 * 10−2 N what is the mass of Deimos?

Answers

The mass of Deimos is approximately 9.52 x 10^15 kg.

To find the mass of Deimos, we can use the formula for gravitational force:F = G * (m1 * m2) / r^2. where F is the gravitational force between two objects, G is the gravitational constant, m1 and m2 are the masses of the two objects, and r is the distance between their centers of mass.

In this problem, we know the radius of Deimos (r = 6.3 km = 6.3 x 10^3 m), the mass of the rock on its surface (m1 = 3.0 kg), and the gravitational force between them (F = 2.5 x 10^-2 N). We can also look up the value of G: G = 6.674 x 10^-11 N(m/kg)^2.

We want to solve for the mass of Deimos (m2). Rearranging the formula, we get: m2 = (F * r^2) / (G * m1). Substituting the given values, we get: m2 = (2.5 x 10^-2 N) * (6.3 x 10^3 m)^2 / (6.674 x 10^-11 N(m/kg)^2 * 3.0 kg). m2 = 9.52 x 10^15 kg.Therefore, the mass of Deimos is approximately 9.52 x 10^15 kg.

It is worth noting that this calculation assumes that the rock on Deimos' surface is not affecting its orbit significantly. In reality, the gravitational force between the rock and Deimos would cause some perturbations in Deimos' orbit, but they are likely to be very small due to the small mass of the rock compared to Deimos.

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To find the mass of Deimos, we can use the gravitational force formula:
F = G * (m1 * m2) / r^2

Where F is the gravitational force (2.5 * 10^(-2) N), G is the gravitational constant (6.674 * 10^(-11) Nm^2/kg^2), m1 is the mass of Deimos (which we want to find), m2 is the mass of the rock (3.0 kg), and r is the distance between their centers, which is equal to Deimos' radius (6.3 km or 6300 m).

Rearranging the formula to solve for m1 (the mass of Deimos):

m1 = (F * r^2) / (G * m2)

m1 = (2.5 * 10^(-2) N * (6300 m)^2) / (6.674 * 10^(-11) Nm^2/kg^2 * 3.0 kg)

After calculating, we find that the mass of Deimos is approximately 1.0 * 10^15 kg.

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