The gravitational force between two asteroids is 6. 2 × 108 N. Asteroid Y has three times the mass of asteroid Z. If the distance between the asteroids is 2100 kilometers, what is the mass of asteroid Y? 3. 7 × 1015 kg 1. 1 × 1016 kg 1. 4 × 1031 kg 4. 1 × 1031 kg.

Answers

Answer 1

Answer:Let m =  mass of asteroid y.Because asteroid y has three times the mass of asteroid z, the mass of asteroid z is m/3.Given:F = 6.2x10⁸ Nd = 2100 km = 2.1x10⁶ mNote thatG = 6.67408x10⁻¹¹ m³/(kg-s²)The gravitational force between the asteroids isF = (G*m*(m/3))/d² = (Gm²)/(3d²)orm² = (3Fd²)/G     = [(3*(6.2x10⁸ N)*(2.1x10⁶ m)²]/(6.67408x10⁻¹¹ m³/(kg-s²))    = 1.229x10³² kg²m = 1.1086x10¹⁶ kg = 1.1x10¹⁶ kg (approx)Answer: 1.1x10¹⁶ kg

Explanation:


Related Questions

ram takes 2 minutes to cover a distance of 600 meter. calculate his speed ​

Answers

Speed = distance/time(in seconds)
2 minutes in seconds is 120, so
600/120= 5 m/s

FAILURE OF THE PRODUCT Instructions 1. Select THREE from everyday below items from the list and discuss the way this item can potentially fail (list minimum THREE failures). Justify your answer by considering Load Strength graph and what can be done to prevent those failures. -Ball Pen -Room Key - Blender

Answers

The three product which can be potentially fail considering Load Strength graph and precautionary measure to prevent failure are as below;

Ball Pen:

1. Ink Leakage: One potential failure of a ball pen is ink leakage. This can occur due to poor sealing between the ink reservoir and the ballpoint mechanism. Ink leakage can result in messy hands, stained documents, and reduced functionality of the pen. To prevent this failure, manufacturers can improve the quality control process to ensure proper sealing and use high-quality materials for the pen's components.

2. Ballpoint Jamming: Another failure is ballpoint jamming, where the ball gets stuck and prevents smooth writing. This can be caused by a buildup of dried ink or debris inside the pen's mechanism. To prevent ballpoint jamming, regular cleaning and maintenance of the pen can be recommended. Additionally, manufacturers can design the pen with features that facilitate easy cleaning or provide instructions on how to clear any blockages.

3. Weak Barrel Construction: The barrel of the pen may also be prone to failure if it is weak or brittle. Excessive pressure or rough handling can lead to cracks or breakage, rendering the pen unusable. To prevent this, manufacturers can use durable materials for the pen barrel, such as sturdy plastics or reinforced metal, and perform quality checks to ensure structural integrity.

Room Key:

1. Keycard Malfunction: A potential failure of a room key is a malfunction in its electronic components. This can result in the keycard being unreadable by the door lock system, preventing access to the room. To prevent this failure, regular maintenance and replacement of keycard readers can be implemented. Additionally, guests should be advised to keep their keycards away from magnets and electronic devices that can interfere with the card's functionality.

2. Magnetic Strip Damage: Another failure can occur if the magnetic strip on the keycard gets damaged or demagnetized. This can happen due to exposure to magnetic fields or physical damage. To prevent this failure, keycards can be made more durable with protective coatings or alternative technologies such as RFID. Guests should also be educated on proper handling and storage of keycards to avoid damage.

3. Battery Drain: Some room keys use batteries to power their electronic components. A failure can occur if the battery drains, leading to an inactive keycard. To prevent this, low-power consumption designs can be implemented, and regular battery checks or replacements can be carried out by hotel staff. Guests should be informed about the importance of returning the keycard to the front desk for recycling or proper disposal to ensure the battery is replaced as needed.

Blender:

1. Motor Burnout: One potential failure of a blender is motor burnout due to prolonged use or overloading. Continuous operation at high speeds or attempting to blend hard or frozen ingredients beyond the blender's capacity can cause the motor to overheat and fail. To prevent motor burnout, manufacturers can provide clear guidelines on the maximum load capacity and recommended usage durations. Automatic thermal protection mechanisms can also be incorporated to shut off the blender if it detects excessive heat.

2. Blade Jamming: Another failure can occur if food particles or ingredients get jammed between the blender's blades, preventing them from spinning freely. This can happen if the blender is not properly cleaned or if ingredients are not adequately prepared before blending. To prevent blade jamming, users should be advised to clean the blender thoroughly after each use and ensure that ingredients are cut into manageable sizes. Manufacturers can also design blades with accessible mechanisms for easy cleaning or provide cleaning tools.

3. Leakage: A failure in a blender can also manifest as leakage. This can happen if the blender jar or its sealing components are damaged or improperly assembled. Liquid or food can leak out during blending, resulting in a messy and potentially unsafe situation. To prevent leakage, manufacturers should ensure proper sealing mechanisms and use high-quality materials for the blender jar and lid. Regular inspection of the sealing components can be advised,

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Spiderman is standing on a building and notices some shady characters up to no good on the street below. Rather than leap or
jump, Spiderman steps off the building and descends to the street below. Using his spidey-sense, he determines that he fell
for 2.7 seconds. What was the height Ay of the building?

Answers

The height of the building using second equation of motion is 35.721 m

What is the second equation of motion?

In kinematics, equations of motion are referred to as the fundamental principles of an object's motion, including velocity, location, and acceleration that occur at variable time intervals. These three motion equations control motion in all three dimensions of an item.

Second equation of motion: s = ut +  a(t^2)/2

where,

s = displacement

u = initial velocity

v = final velocity

a = acceleration

t = time of motion

Given, a = 9.8 m/s/s

           t = 2.7 s

Using this equation we find the height of the building,

s = ut +  a(t^2)/2

  = 0 + 9.8 x 2.7 x 2.7/2

  = 71.442/2

  = 35.721 m

Hence, the height of the building is 35.721 m

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A student pulls a block across the desk in physics class. He applies 14N of
tension in the string, but friction holds the box back with 4N. His partner
measures the acceleration of the box across the desk to be 2m/s2. What
must the mass of the box be?
100 Pointsss hellppp

Answers

can you please show a picture

Object 1 is moving north at 10 mph and object 2 is also moving north at 5 mph. what is the velocity of object 1 relative to object 2?

Answers

The relative velocity of object 1 with respect to object 2 will be → +5 mph along the positive y - axis.

We have two objects moving in north direction.

We have to determine the relative velocity of object 1 relative to object 2.

What is Relative velocity?

The velocity of an object A relative to another object B is the velocity that object A would appear to have to an observer moving with B.

According to the question, we have -

The velocity of Object 1 = v(1) = \(10\;a_{y}\) mph

The velocity of Object 2 = v(2) = \(5\;a_{y}\) mph

Since the two objects 1 and 2 are moving in the same direction, therefore the velocity of object 1 relative to object 2 will be -

v(1)' = v(1) - v(2) =  \(10\;a_{y}\)  -  \(5\;a_{y}\) =  \(5\;a_{y}\) mph

Hence, the relative velocity of object 1 with respect to object 2 will be → +5 mph along the positive y - axis.

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Which of these circuit schematics has an ammeter?
Α. Α
B. B
C. C
D. D

Which of these circuit schematics has an ammeter?. B. BC. CD. D

Answers

Answer:

d is the correct answer for this question hope it helps

Explanation:

when you see a A in a circle the the ammeter

Answer:

D.

Explanation:

PLATO

Match each problem with the correct utility.
the computer is running slowly
sensitive information is not secure
sending a large video file through email
computers in a small business that can't share
information
:: SOHO
:: compression utility
III I
:: encryption :: defragmentation utility

Match each problem with the correct utility.the computer is running slowlysensitive information is not

Answers

Defragmentation utility: the computer is running slowly.Encryption: sensitive information is not secure.Compression utility: sending a large video file through email.SOHO: computers in a small business that can't share information.

What is an encryption?

An encryption can be defined as a form of cryptography and it typically involves the process of converting or encoding information in plain text into a code, known as a ciphertext. Generally speaking, an information or data that has been encrypted it can only be accessed and deciphered by an authorized user.

This ultimately implies that, an encryption simply refers to a utility which can be used by an end user to to secure his or her sensitive information from unauthorized access or theft by a hacker (attacker).

In Computer programming, some examples of encryption algorithms include the following:

3DESAESRC4RC5RSA

In Computer technology, a defragmentation utility helps to reorganize (rearrange) the data stored on a disk drive and as such, it would make a computer system to run faster. Also, a compression utility is a type of utility which can be used to reduce the size of a large video file that is to be sent through an email.

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explain how a syringe dra
ws blood from a patient's body​

Answers

Answer:

You first push in then when the syringe is full push the out

Explanation:

1. in

2. out

but u should watch a You-tube video just in case

I hoped this helped!

What is globalization

Answers

Answer: the process by which businesses or other organizations develop international influence or start operating on an international scale.

Explanation:

Answer:

Globalization is the free movement of goods, services and people across the world in a seamless and integrated manner. Globalization can be thought of to be the result of the opening up of the global economy and the concomitant increase in trade between nations.

hope that helps

on which factors does the coefficient of friction depend? a. mass b. material make-up of the two surfaces c. both a and b d. neither a nor b

Answers

The coefficient of friction depends on both the mass of the objects and the material make-up of the surfaces in contact.

The coefficient of friction is a dimensionless quantity that represents the ratio of the force of friction between two surfaces to the normal force pressing them together. It is denoted by the symbol "μ."

The coefficient of friction is influenced by several factors, including the mass of the objects involved and the material properties of the surfaces in contact. The mass affects the normal force, which is directly proportional to the weight of an object. As the mass increases, the normal force and, subsequently, the frictional force also increase.

The material make-up of the surfaces is another crucial factor. Different materials have different surface textures, roughness, and chemical properties that affect the frictional interaction between them. For example, a rough surface will generally have a higher coefficient of friction compared to a smooth surface.

Therefore, the coefficient of friction depends on both the mass of the objects and the material make-up of the surfaces. These factors play a significant role in determining the frictional forces acting between objects in contact.

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What's the free body diagram for:
Mr. Seifert needs to push a cardboard box down the hallway for Ms. Wang. The box has a mass of 40 kg and he is pushing it with an acceleration of 2 m/s/s. Because the cardboard does not slide easily, there is a friction force of 25 Newtons acting on the box to the LEFT. How much force is Mr. Seifert applying to the box to move it forward to the RIGHT?

Answers

(a) The free body diagram for representing all the forces acting on an object.

(b) The force Mr. Seifert is applying to the box to move it forward to the RIGHT is 105 N.

What is free body diagram?

A free body diagram is a graphical illustration of all the forces acting on an object.

The force applied by Mr Seifert is calculated by applying Newton's second law of motion as follows;

F - Ff = ma

where;

F is the applied forceFf is the force of frictionm is the mass of the cardboarda is the acceleration of the cardboard

The given parameters include;

mass of the cardboard = 40 kg

force of friction = 25 N

acceleration of the cardboard = 2 m/s²

The force applied by Mr Seifert is calculated as follows;

F = Ff + ma

F = 25 N  +    (40 kg x 2 m/s²)

F = 105 N

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A motor's transfer function (voltage as input, angular speed in rad/s as output) is given by 2/0.15+1 , If the motor is used as a tachometer: then the tachometer's gain(KT) in V/(rad/s) is a.2 b.0.5 c.none d.0.25

Answers

the provided options (a. 2, b. 0.5, c. none, d. 0.25) matches the correct answer. To determine the gain of the tachometer, we can use the reciprocal of the transfer function of the motor.

which represents the relationship between the output (angular speed) and the input (voltage).

The given transfer function for the motor is:

H(s) = 2 / (0.15s + 1)

To convert the motor into a tachometer, we need to find the reciprocal of this transfer function. In other words, we invert the numerator and denominator:

H_tachometer(s) = (0.15s + 1) / 2

The gain (KT) of the tachometer is the coefficient in front of the s term in the numerator. From the equation above, we can see that the coefficient is 0.15. Therefore, the gain of the tachometer is 0.15 V/(rad/s).

None of the provided options (a. 2, b. 0.5, c. none, d. 0.25) matches the correct answer.

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Consider the electric force between a pair of charged particles a certain
distance apart. By Coulomb's Law:
If the charge of one of the particles is doubled, the force is:
(unchanged), (halved), (doubled), (quadrupled)

Answers

Answer:

Doubled

Explanation:

F = (kq1q2) / r^2

F and q (Either q1 or q2) are directly proportional, so double the charge would also double the electruc force between the charges.

The particles of a liquid are packed more closely together than the particles of a gas and therefore don't have as much movement. O A True O B. False no links​

Answers

Answer:

A. True

Explanation:

We are talking about motion of solid, liquid and gas particles.

Now, for gas particles, due to the fact that it's particles are far apart from one another, it usually vibrates and thus moves freely at speeds that are higher than those of liquids of solids. For liquids, their particles are not as far apart as those of gases and so they vibrate, move about, and then slide past each other while solids are the most densely packed and so they vibrate but do not move from one place to the other like gases and liquids.

Thus, we can see that particles of liquid are more closely packed than gases and as such don't have same movement speed.

Based on current data, about what fraction of stars have one or more planets?
-at least about 70%
-approximately 1%
-approximately 20%
-no more than 30%.

Answers

Based on current data, it is estimated that about 20-25% of stars have at least one planet orbiting them within the habitable zone, where conditions could support life as we know it. However, the fraction of stars with planets increases to about 50% when considering all planets, including those outside the habitable zone.

These estimates come from data collected by NASA's Kepler spacecraft, which searched for planets by observing the periodic dimming of stars as planets pass in front of them. In addition to Kepler, other telescopes and methods have also been used to detect exoplanets, which has greatly expanded our understanding of planetary systems beyond our own solar system.

However, it is important to note that these estimates are constantly changing as new data is collected and analyzed. As technology improves, we may be able to detect even more planets and better understand their distribution around other stars.

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if a hot air balloon is seen rising above the top of a hill, what is the top of the hill called?

Answers

Answer:

If you see that a hot-air balloon is rising above the top of a hill, what is the top of the hill called?

A. delta point

B. distance system

C. coordinate system

D. reference point

It is reference point

hope it helps :)

Help please!!!!! How does ozone form from vehicle exhaust?

Answers

Answer:  NOx and VOC combine chemically with oxygen to form ozone

Explanation:

how is it possible that leaves appear green to our eyes during spring and summer, but as fall approaches, we can see varying shades of red, orange and yellow leaves?

Answers

This is because leaves contain pigments, or light-capturing molecules.

How does this trigger the above effect?

During the spring and summer, chlorophylls and carotenoids predominate. When chlorophylls and carotenoids absorb light, they reflect green (chlorophylls) and yellow (carotenoids) wavelengths.

As a result, in the spring and summer, our eyes "see" green and greenish-yellow leaves. Other pigments prevail and reflect light in the red-orange spectrum when the leaves die and these pigments, notably chlorophylls, begin to degrade in the fall.

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What happens to the current in a circuit if a 100
resistor is removed and replaced by a 200resistor?

Answers

Answer:

current decrease to half

The current in a circuit if a 100 resistor is removed and replaced by a 200 resistor current decrease to half.

What is resistor?

A resistor is a passive two-terminal electrical component used in circuits to implement electrical resistance. Resistor use in electronic circuits includes lowering current flow, adjusting signal levels, dividing voltages, biasing active devices, and terminating transmission lines.

When potential is constant than current is inversely  proportional to resistance if we increase the resistance current will be half.

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Ashanti picks up a book and lifts it a height of 0.8 m onto a shelf. The book gains 4.7 J of gravitational potential energy as a result. Calculate the mass of the book. The gravitational field strength on Earth is 9.8 N/kg.

Answers

The mass of Ashanti's book is 1.6kg if the book gains 4.7 J of gravitational potential energy.

What is mass?

The term mass refers to the quantity of matter that makes up something or someone. Additionally, mass can be thought of as the resistance an item has to changes in velocity and, consequently, changes in acceleration, as acceleration is the rate at which velocity changes.

Since it takes effort to lift objects out of the gravitational pull of the Earth, gravitational energy is the potential energy associated with gravitational force. Water in an elevated reservoir or kept behind a dam serves as evidence for gravitational potential energy, which is caused by elevated positions.

The formula for potential energy

PEg=mgh

PEg=4.7J

g=9.8N/kg

h=0.8m

m=?

4.7=m×9.8×0.8

4.7=7.84m

m=7.8/4.7=1.6

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Prompt
First aid can be a critical step in saving someone's life and facilitating quick healing in case of an emergency. Having a well
stocked first aid kit is crucial in administering proper first aid. What items would you include in a first aid kit?

Answers

Answer:

1.bandages

2.cottons

3.scissor

4.medicines

write any two difference between CGS and MKS system of measurement ?​

Answers

Answer:

MKS stands for Meter, Kilogram and second. In this system of unit mass is given in Kilogram, length in meter and time in second. ... CGS system stands for Centimeter- Gram- Second system. In CGS system, length is measured in centimeters mass is measured in grams and time is in seconds.

Which statement best describes the general movement of air masses?
A.
They move from areas of high humidity to areas of low humidity.
B.
They move from areas of high altitude to areas of low altitude.
C.
They move from areas of low temperature to areas of high temperature.
D.
They move from areas of high pressure to areas of low pressure.

Answers

Answer:

d

Explanation:

i looked it up

!!Help!!
A 1.5kg apple falls from a tree. If the apple falls for 2.75s before striking the ground, determine how far in meters the apple dropped before hitting the ground

Answers

Answer:

s = 37.81 m

Explanation:

Given that,

Mass of an apple, m = 1.5 kg

The apple falls for 2.75s before striking the ground.

We need to find how far the apple dropped before hitting the ground. It means we need to find the distance covered. Using the second equation of motion to find it :

\(s=ut+\dfrac{1}{2}gt^2\)

u is initial velocity, u = 0 (at rest)

\(s=\dfrac{1}{2}gt^2\\\\s=\dfrac{1}{2}\times 10\times (2.75)^2\\\\=37.81\ m\)

So, Apple dropped 37.81 m before hitting the ground.

a sample o aluminum is put in 10.5 mL of water. if the water rises to 13.5 mL when the aluminum is added, what is the density of the aluminum if it has a mass of 8.1 g

Answers

Answer:

The answer is 2.7 g/mL

Explanation:

The density of a substance can be found by using the formula

\(density = \frac{mass}{volume} \\ \)

volume = final volume of water - initial volume of water

volume = 13.5 - 10.5 = 3 mL

From the question we have

\(density = \frac{8.1}{3} \\ \)

We have the final answer as

2.7 g/mL

Hope this helps you

The wavelength of light visible to the human eye is on the order of 5 × 10?7 m.Find the frequency of the lightwave if the speed of light in air is 2.99792 × 108 m/s.

Answers

The speed of light (c) in air is 2.99792 × 10^8 m/s, and the wavelength of visible light (λ) is 5 × 10^-7 m.

We can use the formula for the speed of light, which is:

c = λν

where ν is the frequency of the light wave.

Solving for ν, we get:

ν = c / λ

Substituting the values we have:

ν = (2.99792 × 10^8 m/s) / (5 × 10^-7 m)

ν = 5.99584 × 10^14 Hz

Therefore, the frequency of the light wave is approximately 5.99584 × 10^14 Hz.

A 3 ohm heater takes 6 amperes while submerged in 1200 grams of water contained in a vessel with a water equivalent to 200 grams. What is the efficiency of the system if the time required for the temperature to change by 70 degrees Celsius is 3.95 hours?

Answers

The efficiency of the system, consisting of a 3-ohm heater submerged in 1200 grams of water, is approximately 101.2% based on the given information.

To determine the efficiency of the system, we need to calculate the energy input and the energy output.

The energy input is given by the formula:  Energy input = Voltage × Current × Time

Since the heater has a resistance of 3 ohms and operates at 6 amperes for 3.95 hours, we can calculate the energy input as follows:

Energy input = (Voltage × Current) × Time = (Voltage² / Resistance) × Time

Given that the voltage is unknown, we need to solve for it. We can use Ohm's law to find the voltage: Voltage = Current × Resistance = 6 A × 3 Ω = 18 V

Now we can calculate the energy input: Energy input = (18² / 3) × 3.95 = 381.6 Joules The energy output can be calculated using the specific heat capacity of water and the change in temperature: Energy output = (Mass of water + Water equivalent) × Specific heat capacity × Change in temperature

Given that the mass of water is 1200 grams, the water equivalent is 200 grams, the specific heat capacity of water is approximately 4.18 J/g°C, and the change in temperature is 70°C, we can calculate the energy output: Energy output = (1200 + 200) × 4.18 × 70 = 386,360 Joules

Finally, we can calculate the efficiency of the system: Efficiency = (Energy output / Energy input) × 100 Efficiency = (386,360 / 381.6) × 100 ≈ 101.2% Therefore, the efficiency of the system is approximately 101.2%.

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Constellations are groups of stars that Choose one: A. all have the same basic composition. B. are close to one another in Earth's sky. C. are bound to one another by gravity. D. are close to one another in space.

Answers

Constellations are groups of stars that are close to one another in Earth's sky. So option (b) is correct answer.

Constellations are groups of stars that are close to one another in Earth's sky. Option: B. are close to one another in Earth's sky.  Constellations are groups of stars that are close to one another in Earth's sky. They are used for ancient astronomy, navigation, and cosmology.

They are generally composed of stars that are both physically related and also have similar brightness, spectral type, and distance from Earth. These patterns have been recognized and named in different cultures and civilizations around the world for centuries. Therefore the correct option is (b).

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How can a person best reduce the risk of sustaining permanent injuries?

- Wear protective clothing while sleeping at home.
- Secure a seat belt only when riding in the front seat.
- Wear a cracked bicycle helmet while riding a bicycle.
- Put away guns in a lockbox that is secure and in a discrete location.

Answers

Answer:

Put away guns in a lockbox that is secure and in a discrete location

Explanation: Took the test. Trust me ;)

Answer:

Put away guns in a lockbox that is secure and in a discrete location

Explanation: Just Trust Me

Neglecting air resistance, if you throw a ball straight up with a speed of 20 m/s how fast will it be moving when you catch it

Answers

The same speed, 20 m/s, because the energy is conserved. It changes from kinetic to gravitational potential and back again to the exact same kinetic energy.
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