a 2,500-kg truck moving at 10.00 m/s strikes a car waiting at a traffic light, hooking bumpers. the two continue to move together at 7.00 m/s. what was the mass of the struck car?

Answers

Answer 1

The mass of the struck car is equal to 1071.4 kg.

What is mass?

Mass is a very large amount of number or something.It is a quantitative measure of the inertia, to a fundamental property of the matter.

Mass of the truck, m_1=2500kgm1

=2500kg

The initial velocity of the truck, u_1=10.0m/su1

=10.0m/s

The final velocity of the truck, v_1=7m/sv1

=7m/s

The initial velocity of the struck car, u_2=0u

2=0

The final velocity of the struck car, v_2=7m/sv

2=7m/s

To Find:

Mass of the struck car, m_2=?m

2=?

From the law of conservation of linear momentum, we know that the total linear momentum after the  collision of a system is equal to the total linear momentum before the collision.

So, solving the following equation for m_2m

2,m_1u_1+m_2u_2=m_1v_1+m_2v_2m1u1+m2u2

=m1v1+m 2v2⇒ 2500(10)+m_2(0)=2500(7)+m_2(7)2500(10)+m2

(0)=2500(7)+m2 (7)⇒7m_2+17500=250007m2+17500=25000

⇒ m_2=1071.4kgm

=1071.4kg

Hence, the mass of the struck car is equal to 1071.4 kg.

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Related Questions

What is the frequency of a wave with a wavelength of 2 and velocity of 20m/s?

Answers

Answer:

I think it is 10 Hz

Explanation:

Sorry if it's wrong

What is the frequency of a wave with a wavelength of 2 and velocity of 20m/s?

does light travel faster in glass or air?

Answers

Light travels faster in air than glass

Answer:

\(\boxed{Air}\)

Explanation:

Light travels faster in the air than in glass because glass has a higher refractive index than air.

glass is solid and more packed than air, so the light will have more space and less resistance in the air to travel than in glass.

\(-TheAnimegirl-\)

lan holds a magnet a few centimeters away from a pile of metal washers. The magnetic force on
the washers is strong enough that they slide across the table towards the magnet.
How could lan decrease the magnetic force on the washers?

Answers

lan can decrease the magnetic force on the washers by increasing the distance between the magnet and the pile of metal washers.

What is a magnet?

A material or object that creates a magnetic field is called a magnet.

The most noteworthy characteristic of a magnet, a force that pulls on other ferromagnetic elements like iron, steel, nickel, cobalt, etc., as well as the ability to attract or repel other magnets, is caused by this invisible magnetic field.

The strength of the magnetic force produced by a magnet increases when the distance between the magnet and an object experiencing the magnetic force is reduced.

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servicing mvac systems on hybrid and electric vehicles requires

Answers

Servicing MVAC (Mobile Air Conditioning) systems on hybrid and electric vehicles typically requires specialized knowledge and equipment due to the unique characteristics of these vehicles.

Training and Certification: Technicians should undergo specific training and obtain relevant certifications for working on hybrid and electric vehicles.Safety Precautions: Hybrid and electric vehicles have high-voltage systems that pose potential risks.System Knowledge: Hybrid and electric vehicles may have different MVAC system designs and components compared to traditional gasoline-powered vehicles. Equipment: Specialized tools and equipment may be required to service MVAC systems on hybrid and electric vehicles. Software and Diagnostics: Hybrid and electric vehicles often rely on complex control systems, which require diagnostic software and tools to identify and address MVAC-related issues. Environmental Considerations: Hybrid and electric vehicles are designed to be environmentally friendly, so it's crucial to handle refrigerants properly. Manufacturer Guidelines: Each hybrid and electric vehicle manufacturer may have specific service guidelines and procedures for their MVAC systems.

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the range of frequencies in which electromagnetic waves occur is called the

Answers

The range of frequencies in which electromagnetic waves occur is called the electromagnetic spectrum.

Electromagnetic spectrum refers to the range of all the frequencies of electromagnetic radiation, which includes all the types of electromagnetic waves. In this range, the frequency of the waves increases from radio waves to gamma rays, while the wavelength decreases. Different types of electromagnetic waves have different properties, but they all travel at the speed of light and can travel through a vacuum.The electromagnetic spectrum includes radio waves, microwaves, infrared radiation, visible light, ultraviolet radiation, X-rays, and gamma rays. Each of these types of electromagnetic waves has its own unique properties, such as wavelength, frequency, and energy, which determine how they interact with matter and are used in different applications.

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How do I write answers in standard form?

Answers

Answer:

Example

Write 81 900 000 000 000 in standard form: 81 900 000 000 000 = 8.19 × 1013

It’s 1013 because the decimal point has been moved 13 places to the left to get the number to be 8.19

Omar needs for a future project. He can invest now at an annual rate of , compounded semiannually. Assuming that no withdrawals are made, how long will it take for him to have enough money for his project

Answers

Using these formulas, we can determine how long it will take for Omar to save enough money for his project.

Omar is looking to invest some money for a future project. In order to calculate how long it will take for him to have enough money, we need to consider a few different factors.

First, we need to know the amount of money that Omar needs for his project. Let's call this amount "P". Without this information, we won't be able to determine how much he needs to save or how long it will take to reach his goal.

Next, we need to know the annual interest rate at which Omar can invest his money. Let's call this rate "r". In this case, we know that the interest is compounded semiannually. This means that the interest is calculated twice a year (every six months) and added to the principal amount.

To calculate the effective annual interest rate for a semi-annual compounding, we can use the following formula:

Effective annual rate = (1 + (r/2))^2 - 1

This formula takes into account the fact that interest is being compounded twice a year.

Once we have the effective annual interest rate, we can use the formula for compound interest to determine how much Omar's investment will grow over time. The formula is:

A = P(1 + (r/n))^(nt)

where:
- A is the amount of money Omar will have after t years
- P is the principal amount (the amount he initially invests)
- r is the annual interest rate
- n is the number of times interest is compounded per year
- t is the number of years

We know that the interest is compounded semiannually, so n = 2.

Using these formulas, we can determine how long it will take for Omar to save enough money for his project.

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What is the temperature difference across a properly operating electric furnace that is using a 10-kW electric heater and is moving 900 cfm of air?

A. 30. 2°F

B. 35. 1°F

C. 40. 4°F

D. 45. 6°F

Answers

The answer to the given question is option C: 40.4°F. Let's see the explanation below.How to find the temperature difference across a properly operating electric furnace?

]We know that the temperature difference across a properly operating electric furnace is given by:ΔT = (Q / (1.08 * CFM))where,Q is the rate of heat input in BTU/hr,1.08 is the factor to convert CFM to lb/min,and CFM is the rate of air flow in cubic feet per minute.So, here,ΔT = (Q / (1.08 * CFM))

Given,The rate of heat input = 10 kW = 34,120 BTU/hrThe rate of air flow = 900 CFMPlugging these values in the above equation, we get:ΔT = (34,120 / (1.08 × 900))ΔT = 40.4°FTherefore, the temperature difference across a properly operating electric furnace that is using a 10-kW electric heater and is moving 900 cfm of air is 40.4°F. Hence, the main answer is option C.

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The temperature difference across the electric furnace is approximately 30.2°F (option A).

To calculate the temperature difference across the electric furnace, we can use the formula:

Temperature difference (ΔT) = Heat (Q) / (Airflow rate * Specific heat capacity * Density)

First, let's convert the power of the electric heater from kilowatts (kW) to watts (W):

10 kW = 10,000 W

Next, we need to determine the specific heat capacity of air. Typically, it is around 0.24 BTU/lb°F.

Since the given airflow rate is in cubic feet per minute (cfm), we need to convert it to pounds per minute (lb/min) using the density of air. The density of air at standard conditions is approximately 0.075 lb/ft³.

Converting 900 cfm to lb/min:

900 cfm * 0.075 lb/ft³ = 67.5 lb/min

Now we can substitute the values into the formula:

ΔT = 10,000 W / (67.5 lb/min * 0.24 BTU/lb°F * 0.075 lb/ft³)

Simplifying the equation:

ΔT = 10,000 W / (67.5 * 0.24 * 0.075) (lb/min * BTU/lb°F * lb/ft³)

Calculating the result:

ΔT ≈ 30.2°F

Therefore, the temperature difference across the electric furnace is approximately 30.2°F, which corresponds to option A.

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Which of the following is an electric potential?
O A. 2.50
B. 2.5 N
C. 2.5 V
O D. 2.53

Answers

Answer:

B

Explanation:

just answered that question

A concave lens creates a virtualimage at -47.0 cm with amagnification of +1.75. What isthe object distance?(Mind your minus signs.)(Unit = cm)

Answers

Answer:

Object distance = 26.86 cm

Explanation:

Given:

Image distance, v = -47.0 cm

Magnification, M = 1.75

Object distance, u = ?

\(\begin{gathered} M=\frac{|v|}{|u|} \\ \\ 1.75=\frac{47.0}{u} \\ \\ u=\frac{47.0}{1.75} \\ \\ u=26.86\text{ cm} \\ \end{gathered}\)

Object distance = 26.86 cm

Why is the unit of momentum called derived unit​

Answers

Answer:

the SI unit of momentum is :- kg.ms-1

and we know that,

kinetic energy = 1/2 mv2

E=p2/2m

p=(2Em)1/2

so the derived units are (J.kg)1/2

Explanation:

You scatter x-rays of wavelength 0.0113 nm from the loosely bound electrons of a target material. Find the angle at which the wavelength of the scattered x-rays is longer than the incident wavelength

Answers

The angle at which the wavelength of the scattered X-rays is longer by a factor of 1.0367 is approximately 0.176 radians or 10.08 degrees.

The Compton scattering equation can be used to determine the angle at which the wavelength of the dispersed X-rays is increased by a factor of 1.0367:

Δλ = (h ÷ (m_e × c)) × (1 - cos(θ))

Where:

Δλ is the change in wavelength

λ' is the wavelength of the scattered X-rays

λ is the incident wavelength

h is the Planck's constant (6.62607015 × \(10^{-34}\) m² kg / s)

m_e is the electron mass (9.10938356 × \(10^{-31}\) kg)

θ is the scattering angle

In this case, we know that the change in wavelength is Δλ = λ' - λ = (f - 1) × λ = 0.0367 × λ.

we get:

0.0367 * λ = (h ÷ (m_e × c)) × (1 - cos(θ))

We can rearrange the equation to solve for the scattering angle θ:

cos(θ) = 1 - (0.0367 × λ × m_e × c) ÷ h

θ = arccos(1 - (0.0367 × λ × m_e × c) ÷ h)

Now, we need to calculate the incident wavelength λ. The wavelength of X-rays is related to their momentum through the equation:

λ = \(\frac{h}{p}\)

where p is the momentum. The momentum of an X-ray photon can be calculated using its energy E:

p = E ÷ c

Since the equation relates a photon's energy to its wavelength:

E = hc ÷ λ

Now we can substitute the momentum p into the equation for λ:

λ = h ÷ p = h ÷ (h ÷ λ) = λ

Therefore, the incident wavelength is equal to the given wavelength of 0.0113 nm.

Substituting the values into the equation for the scattering angle θ, we get:

θ = arccos(1 - (0.0367 × 0.0113 × \(10^{-9}\) × 9.10938356 × \(10^{-31}\) × 299,792,458) ÷ (6.62607015 × \(10^{-34}\)))

we find:

θ ≈ 0.176 radians or 10.08 degrees

Therefore, the angle at which the wavelength of the scattered X-rays is longer by a factor of 1.0367 is approximately 0.176 radians or 10.08 degrees.

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When a 100-kg mass is hung from a cable made of a certain material, the cable is observed to lengthen by 1%. If the cable is now replaced by one with twice the cross-sectional area and made of a material with twice the Young's modulus of the original one, and the mass hung from it is also doubled, how much stretching will be observed? A) 0.5% B) 8% C) 1% D) 4%

Answers

The mass hung from it is also doubled,  4% much stretching will be observed.

What is mass?

A substance or object's mass is a measurement of how much matter there is in it. Smaller masses can be measured in grams instead of kilograms (kg), which is the standard SI unit for mass (g). You would use a balance to calculate mass.

What is modulus?

The ratio of the stress that a material experiences under an applied strain is known as the Young's modulus. The strain is the percentage of the starting length that represents the amount of material deformation, such as the change in length in an extensional experiment.

Therefore,  the mass hung from it is also doubled,  4% much stretching will be observed.

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Suzy, who weighs 500 N, climbs a

ladder that is 5 m high. How much

work does she do?

Answers

The work done by Suzy who weighs 500 N is 2000 J.

What is work?

Work is said to be done whenever a force moves an object through a certain distance.

To calculate the work done by Suzy, we use the formula below.

Formula:

W = Fd............... Equation 1

Where:

W = Work done by SuzyF = Weight of Suzy d = Height of the ladder

From the question,

Given:

F = 500 Nd = 5 m

Substitute these values into equation 1

W = 500×4W = 2000 J

Hence, the work done by Suzy is 2000 J.

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A Stone was thrown vertically upward with the initial velocity um/s .it reaches a maximum height and returns to the ground.find an expression of the maximum height and the velocity before hitting the ground

Answers

80m/s an expression of the maximum height and the velocity before hitting the ground

By third equation of motion

v 2 −u 2 =2gs

0−40

2 =−2×10×s

s= 20/160⇒s=80m/s

The highest height at which a stone is hurled vertically up is at what velocity?

A stone hurled vertically upward will not travel at a steady speed. It will gradually get smaller until it is zero. Gravity tries to pull the stone down when it is hurled vertically upward, slowing down its motion.

The stone's velocity briefly hits zero as it reaches its highest point, and it then immediately begins to fall back toward the earth. The stone may thus ascend no higher than 80 metres.

When the input angle is 90 degrees, the sine function has an output value of 1, which is its maximum. In other words, when a projectile is released at an angle, it goes the farthest.

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Which is a limitation of using cellulose?

its lack of mass production
its lack of biodegradability
its harm to landfills
its high cost to recycle

Answers

Answer: It's lack of mass production

It is biodegradable. It does not harm landfills. It doesn't cost much to recycle.

I cannot find anything about mass production or if it costs a lot to recycle.

From the information I know, operating costs were expensive. Cellulose is always recycled and is good for the environment meaning it can't cost much to recycle

Since operating costs were high, it most likely won't be mass produced because it's too expensive.

Therefore I think the answer is its lack of mass production.

Answer:

its lack of mass production

Explanation:

a 0.15kg glider is moving to the rigth on a frictionless horizontal air track with speed of .80 m/s

Answers

A  0.15kg glider is moving to the right on a frictionless horizontal air track with a speed of 0.80 m/s.

The glider is a type of object that is designed to move smoothly along a surface, in this case, the air track. Because there is no friction on the air track, the glider is able to maintain its speed without slowing down or coming to a stop. The glider's mass of 0.15kg is a measure of the amount of matter it contains, and it affects how much force is required to move it. In this case, the glider's speed of 0.80 m/s is a measure of how fast it is moving in a particular direction.

In summary, we can say that the glider is in motion on a frictionless horizontal air track, and its speed is 0.80 m/s. The glider's mass and speed are important factors that affect how it moves along the track.

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True or false, anything can turn into a black hole.

Answers

Answer:

False. Not everything can turn into a black hole. The formation of a black hole requires a massive object, typically a star, to collapse under its own gravity. This collapse causes the object to become so dense that it creates a singularity, a point of infinite density at the center of the black hole, which is surrounded by an event horizon, the point of no return beyond which nothing, not even light, can escape. So, only objects with sufficient mass and gravity can become black holes.

Explanation:

In ________, energy travels at right angles to the direction of vibrating particles.

Answers

Answer:

"transverse waves" such as electromagnetic waves

In something like a sound wave, the particles must vibrate longitudinally for the wave to progress thru the medium

what is the purpose of the calibration curve in part v of the electrochemical measurement procedure?

Answers

The purpose of the calibration curve in Part V of the electrochemical measurement procedure is to establish a relationship between the measured signal and the analyte concentration.

In electrochemical measurements, the calibration curve plays a crucial role in quantifying the concentration of the analyte of interest. It involves plotting a series of known analyte concentrations against their corresponding measured signals. By analyzing the resulting curve, one can determine the relationship between the signal response and the analyte concentration. This relationship is typically linear or follows a specific mathematical model. The calibration curve serves as a reference to convert the measured signals obtained from unknown samples into their corresponding analyte concentrations. It allows for accurate and reliable quantitative analysis by providing a means to interpolate or extrapolate the analyte concentration based on the measured signal.

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A force of 250 N is used to keep a 65 kg crate sliding across the warehouse floor. What is the coefficient of sliding friction for the crate and the floor?

Answers

The crate moves with velocity vecv in the positive X-direction, as shown in the FBD above. Forces acting upon that crates are A 65 kilogramme crate is being kept from sliding to across warehouse floor by a force pf 250 N.

Writing equal forces in their component parts using Newton's second law

0 for Sigma F x.

0 Rightarrow F-F friction

----(1) \s\

0 for Sigma F y.

-mg=0 rightarrow

——(2)

Equation (1) yields F friction=F.

Rightarrow ___k=F ___k

Rightarrow mu _k=frac F N

Rightarrow mu k=frac fmg

——-from Equation (2)

Rightarrow _k=frac 250*65*9.8=0.39

fr = Fr/N

The resistive frictional force (Fr) divided more by normal of perpendicular energy (N) pushing adjacent objects together yields the friction coefficient (fr), which is a numerical value. Equation fr = Fr/N serves as a representation of it.

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The crate moves with velocity vecv in the positive X-direction, as shown in the FBD above. Forces acting upon that crates are A 65 kilogramme crate is being kept from sliding to across warehouse floor by a force pf 250 N.

Writing equal forces in their component parts using Newton's second law:

0 for Sigma F x.

0 Rightarrow F-F friction

----(1) \s\

0 for Sigma F y.

-mg=0 rightarrow

——(2)

Equation (1) yields F friction=F.

Rightarrow ___k=F ___k

Rightarrow mu _k=frac F N

Rightarrow mu k=frac fmg

——-from Equation (2)

Rightarrow _k=frac 250*65*9.8=0.39

fr = Fr/N

The resistive frictional force (Fr) divided more by normal of perpendicular energy (N) pushing adjacent objects together yields the friction coefficient (fr), which is a numerical value. Equation fr = Fr/N serves as a representation of it.

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when a burning stick of increase is moved fast in a circle a circle of red light is seen.​

Answers

Answer:

The impression of the image on the retina lasts for about 1/16th of a second after the removal of the object. If a burning stick of incense is revolved at a rate of more than sixteen revolutions per second, we see a circle of red light due to persistence of vision.

Explanation:

Distinguish between the key features of Charles's Law and

Charles's Law

Boyle's Law

Constant Property

Varying Properties

Type of Variance

Formula

Answers

Answer:

The answer is below

Explanation:

Charles law states that the volume and temperature of a fixed amount of a gas is directly proportional to each other provided that pressure is held constant.

Boyle's law states that the volume and pressure of a fixed amount of a gas are inversely proportional to each other provided that temperature is held constant.

a) Constant property:

In Charles law, pressure is kept constant while in Boyle's law, temperature is held constant.

b) Varying properties:

In Charles law, volume and temperature are varying while in Boyle's law, pressure and volume are varying.

c) Type of variance:

In Charles law we have a direct variance while in Boyle's law we have an indirect variance.

d) Charles law is given as:

\(\frac{V_1}{T_1} =\frac{V_2}{T_2}\)

Boyle's law is given as:

\(P_1V_1=P_2V_2\)

Which type of wave moves both energy and the particles in the same direction as the medium?

Answers

Answer:

Longitudinal waves

Explanation:

With sound waves, the energy travels along in the same direction as the particles vibrate. This type of wave is known as a longitudinal wave , so named because the energy travels along the direction of vibration of the particles.

Which one of these responses is true with regard to a 0.1 m solution of a weak acid ha?

Answers

A 0.1 M solution of weak acid HA has a concentration of 0.1 M, independent of its strength as an acid. The strength of the acid is not specified by the given information.

In a 0.1 M solution of a weak acid, the concentration of the weak acid, denoted as [HA], is 0.1 M.

The term "m" in this context refers to molarity, which represents the number of moles of solute (in this case, the weak acid HA) per liter of solution. Therefore, a 0.1 M solution means there are 0.1 moles of HA dissolved in every liter of the solution.

It's important to note that the concentration of HA in the solution is independent of its strength as an acid. The strength of an acid is determined by its ability to donate protons (H+) to a solution.

In summary, the true response with regard to a 0.1 M solution of a weak acid HA is that the concentration of HA in the solution is 0.1 M. The strength of the acid is not specified by the given information.

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The speed of sound in seawater is 1530 m/s. How long will it take for an
ultrasound signal to be transmitted and received after reflecting back from a
shoal of fish swimming at a depth of 200 m?

Answers

The Total time taken for the signal to be transmitted and received after reflecting is 0.261 seconds.

Speed of sound in seawater = 1530m/s.

Total distance travelled by the sound = 200m [ toward fish ] + 200m [ away                                                                                                            from fish ]

Total distance = 400m

As, Speed = \(\frac{ Total Distance}{Total Time}\)

     Total Time = \(\frac{Total Distance}{Speed}\)

     Total Time = \(\frac{400}{1530}\)

  ∴ Total time = 0.261 second

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FIRST ANSWER BRAINLIEST!!
Write captions to describe three parts of destructive interference.


FIRST ANSWER BRAINLIEST!!Write captions to describe three parts of destructive interference.

Answers

Captions to describe three parts of destructive interference

"Two waves meet out of phase, causing them to cancel each other out and produce a smaller wave.""The amplitude of the resulting wave is smaller than the amplitude of the individual waves.""Destructive interference occurs when waves with opposite phases interact, resulting in a decrease in the overall energy of the wave."

What is destructive interference?

Destructive interference occurs when two waves meet and combine with opposite phases, resulting in a reduction or cancellation of their amplitudes.

In other words, the peaks of one wave line up with the troughs of another, resulting in a decrease in the overall amplitude of the resulting wave. This can result in a weaker signal, reduced intensity or complete cancellation of the wave.

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Jenny was applying her makeup when she drove into the student parking lot last Friday morning . Unaware that Cheryl was stopped in her lane aheadJenny rear ended Cheryl's car. Jenny's 1300-kg car was moving at 11 m/s and stopped in 0.14 seconds . Determine the magnitude of the force experienced by Jenny's car .

Answers

Answer: F = 102141N

Explanation: Newton's 2nd Law states that a force can change the motion of a body. The relation is given by

F = m.a

whose units are:

[F] = N

[m] = kg

[a] = m/s²

Jenny's car, at the moment of the break, had acceleration:

\(a=\frac{\Delta v}{\Delta t}\)

\(a=\frac{11}{0.14}\)

a = 78.57 m/s²

Then, Force is

F = 1300*78.57

F = 102141 N

Jenny's car experienced a force of magnitude 102141N.

If the sun had twice the mace how would that affect the gravitational force of the sun

Answers

Answer:  Gravity is the force that keeps planets in orbit around the Sun. Gravity alone holds us to Earth's surface.

Planets have measurable properties, such as size, mass, density, and composition. A planet's size and mass determines its gravitational pull.

A planet's mass and size determines how strong its gravitational pull is.

Models can help us experiment with the motions of objects in space, which are determined by the gravitational pull between them.

Explanation:

2. One cubic centimeter (cm3) is the same volume as one...

2. One cubic centimeter (cm3) is the same volume as one...

Answers

one milliliter
hope this helps!!!!
Other Questions
The equationdy/dx(r,)=f()sin+f()cos/f()cosf()singives a formula for the derivativeyof a polar curver=f(). The second derivative isd2y/dx2=dy/ddx/d. Find the slope and concavity of the following curve at the given points.r=,=5/2,3At=5/2, the slope of the curve is (Type an exact answer.) At=25, the value of the second derivative is and so the curve is (Type an exact answer.) At=3, the slope of the curve is (Type an exact answer). sixteen-year-old briana's parents are happily married, but her friend dana's parents are divorced. consequently, briana is more likely than dana to: (Present and Future Values for Different Periods) Find the following values using the equations and then a financial calculator. Compounding/discounting occurs annually. Do not round intermediate calculations. Round your answers to the nearest cent. a. An initial $400 compounded for 1 year at 10%. $ b. An initial $400 compounded for 2 years at 10%. $ c. The present value of $400 due in 1 year at a discount rate of 10%. $ d. The present value of $400 due in 2 years at a discount rate of 10%. why has union membership fallen in manufacturing industries? what variances can be computed using the three data elements of pv, ac, and ev, in the earned value/schedule system? For Cynthia's fourth lab report, she calculated the ratio of velocities before and after the impact of a basketball bouncing on a court. This measurement is called the coefficient of restitution. She got the following four values. 0. 720. 750. 730. 76The accepted value is 0. 77. Cynthia's percent error was [blank]%. Enter your answer as the number that correctly fills in the blank, rounded to two decimal places, like this: 42. 53 1. Susan completed her journey of running in 10 minutes. If she ran 85 miles, how manyminutes did she run in one minute? A train that is accelerating at 5m/s down the tracks and crashes into a car. If the train weighs 20,000kg, how much force does the car experience? Davis digs a hole at a rate of 34 feet every 10 minutes. After digging for 40 minutes, Davis places a bush in the hole that fills exactly 78 feet of the hole.Relative to ground level, what is the elevation of the hole after placing the bush in the hole?Enter your answer as a simplified mixed number in the box. In my research, I found that the levels of "gonadotropins" in the body are critical to understanding how the drugs Clomid and Ortho Tri-Cyclen work. What are gonadotropins? What role do they play in fertility? In 2016, Dave bought a new car for $15,500. The current value of the car is $8,400. At what annual rate did the car depreciate in value? Express your answer as a percent (round to two digits between decimal and percent sign such as **. **%). Use the formula A(t)=P(1r)t Three angles on a line have a ratio of 3:4:5. What are the measures of the three angles the graph of y=3x+=4 is In the United States, a trademark Group of answer choices must be renewed every 10 years. can be sold to potential users. has a short life. cannot be registered until it is actually in use. can easily be registered. According to a report an average person watched 4.55 hours of television per day in 2005. A random sample of 20 people gave the following number of hours of television watched per day for last year. At the 10% significance level, do the data provide sufficient evidence to conclude that the amount of television watched per day last year by the average person differed from that in 2005? 1.0 4.6 5.4 3.7 5.2 1.7 6.1 1.9 7.6 9.1 6.9 5.5 9.0 3.9 2.5 2.4 4.7 4.1 3.7 6.2 a. identify the claim and state and b. find the critical value(s) and identify the rejection region(s), c. find the standardized test statistic Sketch a graph decide whether to reject or fail to reject the null hypothesis, and d. interpret the decision in the context of the original claim. e. Obtain a 95%confidence interval chartres cathedrals gothic architectural features (identify them by name), (b) the portal and jamb figures, (c) the stained glass windows, and (d) the light symbolism. A basketball is picked up off the ground and carried to the top of a platform that is 160 feet up. It is then dropped to the ground. The ball rebounds one-half the height each time it hits the ground. What is the total vertical distance the ball will travel from the moment it is picked up to the moment it reaches its maximum height after the fourth bounce on july 1, costa rica adventures issues a $120,000, eight-month, 6% note. interest is payable at maturity. what is the amount of interest expense that the company would record in a year-end adjusting entry on december 31? 7/9 - 2/8 x 4/9. ..... Which expression is equivalent to -8(10x 3)?A) -80x + 24B) -80x - 24C) - 80x - 3D) -80x + 3