A student releases a marble from the top of a 180cm ramp. The marble increases speed steadily and reaches the bottom of the ramp in 4. 20s.

What was the magnitude of the marble's acceleration?


What was the marble's final speed?



What was the magnitude of the marble's acceleration?

Answers

Answer 1

Acceleration is defined as the rate at which velocity changes per unit time. It is a vector quantity represented by "a." It is measured in meters per second squared \((m/s2)\).

The velocity of the marble is increasing, so it must be accelerating. Here are the calculations to determine the acceleration, final speed, and distance traveled by the marble: First, let's convert the height of the ramp from centimeters to meters:

\(180 cm = 1.8\) mUsing the kinematic equation:\(v = u + at\)

We can calculate the acceleration of the marble as follows:

\(4.20 = t, u = 0, v = ?a = (v-u) / t\)

Where:\(v = (2 x d) / ta = (v-u) / t\)

We know that the distance traveled by the marble (d) is equal to the height of the ramp,

which is \(1.8m.v = (2 x 1.8) / 4.20 = 0.857 m/s2a = (0.857 - 0) / 4.20 = 0.2047 m/s2\)

Therefore, the magnitude of the marble's acceleration was \(0.2047 m/s2.\)

Secondly, we can use the following kinematic equation to find the final velocity of the marble:

\(v² = u² + 2as\)

Where: \(u = 0, a = 0.2047 m/s², s = 1.8mv² = 0 + 2(0.2047)(1.8)v = (2 x 0.2047 x 1.8)½ = 0.855 m/s\)

Therefore, the marble's final speed was \(0.855 m/s\)

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Related Questions

What is the current in a circuit that has a voltage of 1.5v and a resistance of 15?

Answers

Answer:

0.1 amps or A

Explanation:

I believe to calculate that you would have to use the formula V = IR and change it to:

I = V/R

I = 1.5/15

I = 0.1 amps or A

It has been known for many years that ceramics can conduct electricity. In 2008, scientists found a ceramic material that can conduct electricity with no resistance at 133 K. What is the most important significance of this 2008 finding?

This is a lower temperature than Onnes’s experiment, and it will allow for a broader use of superconductors.

This is a higher temperature than Onnes’s experiment, and it will allow for a broader use of superconductors.

Materials that can conduct electricity with no resistance are new and can allow for new materials to be made.

Ceramic materials have been known to be able to conduct electricity prior to year 2008.

Answers

Answer:

mercury

Explanation:

edge 2020

in the diagram, a conducting loop has a current running through it counter-clockwise. in which direction is the magnetic field inside of the loop going to be pointing?

Answers

Answer:

Place the thumb of your right  hand in the direction  of the current and the fingers will be pointing "upwards" - this is handy for long straight wires

A slab of glass 8.0 cm thick is placed upon a printed page. If the refractive index of the glass is 1.5, how far from the surface would the letters appear to be when viewed from directly above?

Answers

Answer:

5.3 cm

Explanation:

This question is an illustration of real and apparent distance.

From the question, we have the following given parameters

Real Distance, R = 8.0cm

Refractive Index, μ = 1.5

Required

Determine the apparent distance (A)

The relationship between R, A and μ is:

μ = R/A

i.e.

Refractive Index = Real Distance ÷ Apparent Distance

Substitute values in the above formula

1.5 = 8/A

Multiply both sides by A

1.5 * A = A * 8/A

1.5A = 8

Divide both side by 1.5

1.5A/1.5 = 8/1.5

A = 8/1.5

A = 5.3cm

Hence, the letters would appear at a distance of 5.3cm

in the band model, the good thermal (heat) conductivity of metals is explained by vibrations of the metal ions present after valence electrons leave the metal atoms. (True or False)

Answers

False.

In the band model of solids, the good thermal (heat) conductivity of metals is explained by the presence of a partially filled valence band and an overlapping conduction band. Metals have a unique electronic structure where the valence electrons are loosely bound and can move freely throughout the crystal lattice.

The high thermal conductivity of metals is primarily attributed to the movement of these delocalized electrons, not the vibrations of metal ions.

When heat is applied to a metal, the excess thermal energy causes the delocalized electrons to move more rapidly. These mobile electrons can easily transfer heat energy by colliding with neighboring atoms and transferring kinetic energy.

This rapid and efficient transfer of thermal energy through the lattice accounts for the high thermal conductivity observed in metals.

The vibrations of metal ions, on the other hand, are related to their lattice structure and contribute to other properties such as electrical resistivity and the ability to transmit sound waves, but they are not the main factor responsible for the good thermal conductivity of metals.

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You are handed another spring that is 0.50 m long. You hang the spring from a hook on the ceiling and attach a 0.75-kg mass to the other end of the spring. The stretched spring length is 0.65 m. What is the spring constant?

Answers

You are handed another spring that is 0.50 m long. You hang the spring from a hook on the ceiling and attach a 0.75-kg mass to the other end of the spring. The stretched spring length is 0.65 m. The spring constant will be 11.31 N

Hooke's law states that the strain of the material is proportional to the applied stress within the elastic limit of that material.

force = - k x

since , spring is hanged , gravitational force must be acting on it , in order to stretch the spring

mass * acceleration = - kx

0.75 * (-9.8) = - k (0.65)

k = 11.31 N/m

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How do you know if forces are unbalanced? Balanced?
Unbalanced:
Balanced:

Answers

Whenever an object's motion varies, the pressures are out of equilibrium. Forces are balanced when they are conducted in the opposite direction and are of equal size.

What would you say is a force?

Physics defines force as: The pushing and pulling that alters the velocity of a massed object. A agent with both the capacity to alter a bodies natural resting and moving condition is called as an external force. It has both a magnitude and a direction.

What causes balancing force?

Force symmetry Balanced forces are those that have opposing directions and equal sizes. One definition of equilibrium is a state of balance forces. When the forces are in balance, there is really no need to alter your strategy.

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The net force on a vehicle that is accelerating at a rate of 1.2 m/s2 is 1500 newtons. What is the mass
of the vehicle to the nearest kilogram?
A. 180 kg
B. 125 kg
C. 1800 kg
D. 1250 kg

Answers

Answer:

D. 1250kg

Explanation:

Given

Force (F) = 1500N

Acceleration (a) = 1.2m/s²

Required

Determine the mass (m) of the vehicle

To solve this, we'll apply the following formula used in calculating force on an object.

Force(F) = Mass(m) * Acceleration (a)

Substitute values for F and a

1500N = m * 1.2m/s²

Make m the subject of formula

m = 1500N ÷ 1.2m/s²

m = 1250kg

Hence, the mass of the vehicle is 1250kg

How high does a 150 kg piano have to be lifted to have 8000 J of gravitational potential energy?

A. 3.1 m

B. 5.4 m

C. 6.2 m

D. 1.2 m

Answers

Answer:

B.5.4m

Explanation:

Potential Energy=mass×gravity×height

8000=150×9.8×x

8000=1470x

x=8000/1470=5.4m

What is the charge of an ionic compound after an ionic bond is formed?

Answers

Answer:

Ionic bonds are formed between cation and anions . A cation is formed when a metal ion loses valence electron while an anion is formed when a non-metal gains a valence electron.

Derive an equation for the acceleration of block 3 for any arbitrary values of m3 and m2. Express your answer in terms of m3, m2, and physical constants as appropriate.

Answers

Complete question is;

Block 1 is resting on the floor with block 2 at rest on top of it. Block 3, at rest on a smooth table with negligible friction, is attached to block 2 by a string that passes over a pulley, as shown in the attachment below. The string and pulley have negligible mass.

Block 1 is removed without disturbing block 2.

Derive an equation for the acceleration of block 3 for any arbitrary values of m3 and m2. Express your answer in terms of m3, m2, and physical constants as appropriate.

Answer:

a = (m2)g/(m3 + m2)

Explanation:

Looking at the attached image, if we consider the free body diagram for block 3, by using Newton's first law of motion, we will arrive at the formula;

T = (m3)a - - - (eq 1)

where;

T is the tension in the string

a is acceleration

m3 is mass of block 3

Meanwhile doing the same with Block 2, the free body diagram would give us the formula; (m2)g - T = (m2)a

Making T the subject gives us;

T = (m2)g - (m2)a - - - (eq 2)

where;

g is acceleration due to gravity

T is the tension in the string

a is acceleration

m2 is mass of block 2

To solve for the acceleration, we will just substitute (m3)a for T in eq 2.

Thus;

(m3)a = (m2)g - (m2)a

(m3)a + (m2)a = (m2)g

a(m3 + m2) = (m2)g

a = (m2)g/(m3 + m2)

Derive an equation for the acceleration of block 3 for any arbitrary values of m3 and m2. Express your

a uniform magnetic field of magnitude 1.7 t is directed perpendicular to the plane of a rectangular loop having dimensions 15 cm by 16 cm. find the magnetic flux through the loop.

Answers

A uniform magnetic field of magnitude B exists when the magnetic field strength and direction are the same at all points within the region of interest.

Given: Uniform magnetic field of magnitude 1.7 T Dimension of the loop = 15 cm × 16 cm = 0.15 m × 0.16 m = 0.024 m²

Formula used: Φ = BA, where Φ is the magnetic flux, B is the magnitude of magnetic field and A is the area of the loop perpendicular to the magnetic field, here B is perpendicular to the loop.

Φ = BA

where,B = 1.7 T (Given)

A = 0.024 m² (Given)

Φ = 1.7 × 0.024Φ = 0.0408 Wb

Hence, the magnetic flux through the loop is 0.0408 Wb.

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How much work w must be done on a particle with a mass of m to a\ccelerate it from rest to a speed of 0.902 c ? express your answer as a multiple of mc2 to three significant figures.

Answers

We can utilize Einstein's mass-energy equivalence equation, E = mc², where E represents the energy. The work done on the particle is equal to the change in energy.

When the particle is at rest, its energy is solely its rest energy, which is given by E = mc². As the particle is accelerated to a speed of 0.902 c, its total energy increases. The change in energy (ΔE) is the difference between the final energy and the initial rest energy.

The final energy of the particle when it reaches a speed of 0.902 c is given by E = γmc², where γ is the Lorentz factor. The Lorentz factor is defined as γ = 1/√(1 - (v/c)²), where v is the velocity of the particle.

By substituting the given values into the Lorentz factor equation, we can calculate the Lorentz factor for the particle. With the Lorentz factor known, we can determine the final energy of the particle.

The work done on the particle is equal to the change in energy, so the work can be calculated as ΔE = (γ - 1)mc². By substituting the values into the equation and expressing the answer as a multiple of mc², we can determine the work required to accelerate the particle to the given speed.

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3. Is converting wood into saw dust a reversible change? Give one reason for your answer

Answers

No, conversion of wood to sawdust is an irreversible change, because a block of wood after grounding into sawdust cannot be changed into the same block of wood

a 2500kg car is travelling at a constant speed of 14 m/s along an icy, but straight and level road. the driver of the car, seeing an approaching traffic light turn red., slams on the brakes. Wheels locked and ttired skidding, the car slide to a halt in a distance of 25m. What is the coefficient of friction

Answers

Answer:

0.40

Explanation:

Given that :

the mass of the caer = 250 kg

initial speed = 14 m/s

final speed = 0 m/s

distance  s = 25 m

Using the equation of motion

\(v^2 = u^2 + 2as\)

making a the subject of the formula ; we have:

\(v^2-u^2 = 2as\)

\(a= \dfrac{v^2-u^2 }{2 \ s}\)

\(a= \dfrac{(0)^2-(14)^2 }{2 \ (25)}\)

\(a= \dfrac{0-196 }{50}\)

\(a= \dfrac{-196 }{50}\)

a = -3.92 m/s²

However; the relation for the coefficient of the kinetic static friction can be expressed as:

\(f= \mu_k *mg= ma\)

\(f= \mu_k *g= a\)

\(f= \mu_k = \dfrac{a}{g}\)

\(f= \mu_k = \dfrac{3.92}{9.8}\)

\(f= \mu_k = 0.40\)

in proton therapy can we assume that kerma equals collision kerma because of energy straggling? yes or no

Answers

No, we cannot assume that karma equals collision kerma because of energy straggling in proton therapy.

Proton therapy is a kind of radiation therapy used to treat cancer. Proton therapy aims a beam of protons at cancerous cells, providing a way of killing them without causing damage to nearby healthy tissues. As the charged particles travel through tissue, they release energy that destroys cells and tumours. Proton therapy may be used alone or in combination with other treatments, such as surgery, chemotherapy, and radiation therapy.What is Kerma?Kerma (kinetic energy released in matter) is the energy released in matter by incident radiation. When radiation passes through matter, it generates ionization and excitation events, which result in energy deposition in the medium. Kerma is a measure of the kinetic energy released by the particles per unit mass of the medium.The Kerma is divided into two categories, the collision Kerma and the radiative Kerma.

Collision Kerma is the quantity of energy that ionizing radiation produces per unit mass in a material by the transfer of its energy to charged particles via collision.What is energy straggling?Energy straggling is a result of the fact that not all particles in a beam have the same energy. When particles travel through material, they interact with atoms, causing them to lose energy and slow down. Some particles lose more energy than others, resulting in a distribution of energies in the beam. This distribution is known as energy straggling. It causes the Kerma to be greater than the collision Kerma. So, we cannot assume that kerma equals collision kerma because of energy straggling in proton therapy.

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Name the type of force which is responsible for the formation of tides in the sea

Answers

Gravitational force exerted by the moon is
responsible for the formation of tides in the sea.

The angle of reflection is equal to the angle of incidence……….. [ ] A) always B) sometimes C) never D) under special conditions​

Answers

Answer:

A) always

this is ur answer

The main reason a person weighs less at the equator than at the poles involves theA) spin of the Earth.B) influence of the Sun, Moon, and all the planets.C) law of action and reaction

Answers

The main reason a person weighs less at the equator than at the poles is due to the Earth's rotation, which causes a centrifugal force at the equator due to law of planet motion.

This centrifugal force is caused by the Earth's rotation around its axis, which is faster at the equator than at the poles. As a result, objects at the equator are moving faster and experience a weaker gravitational pull towards the Earth's center compared to objects at the poles due to law of planet motion.

The difference in gravitational force between the equator and the poles is relatively small, around 0.5%, but it is still measurable. The gravitational force at the poles is stronger because the Earth's rotation is slower there, so there is less centrifugal force pushing objects away from the Earth's center.

The influence of the Sun, Moon, and planets on a person's weight is much smaller than the effect of the Earth's rotation. These celestial bodies do have an effect on the Earth's gravitational field, but their impact is relatively minor compared to the Earth's rotation.

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which 802.11 standard functions in both the 2.4-ghz and 5-ghz bands?

Answers

The 802.11n standard, also known as "Wireless-N," is a Wi-Fi networking standard that supports both the 2.4 GHz and 5 GHz frequency bands.

This standard was released in 2009 and is backward compatible with earlier Wi-Fi standards such as 802.11a/b/g.

One of the key advantages of 802.11n is its ability to provide higher data rates and improved reliability by using multiple antennas and advanced signal processing techniques. This allows for greater throughput and less interference, particularly in the 5 GHz band, which is less congested than the 2.4 GHz band.

The 2.4 GHz band provides better range and is better suited for low-bandwidth applications such as email and web browsing. However, it can be susceptible to interference from other devices such as microwaves and cordless phones. In contrast, the 5 GHz band is less prone to interference and provides higher throughput, making it ideal for high-bandwidth applications such as video streaming and online gaming.

Overall, the 802.11n standard's ability to operate in both frequency bands makes it a versatile and widely adopted Wi-Fi standard for a variety of applications.

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Calculate the conditions, listed on the attached table, for a turbocharged and intercooled Otto cycle operating at sea level (table A16 taking the initial volume as 1m3 & γ=1.4 throughout the calculation) assuming isentropic compression/expansion with an adiabatic combustion temperature of 2000⁰K with a 2:1 pressure compression ratio for the turbocharger and an intercooler outlet temperature of 30⁰C operating at the maximum volumetric compression ratio to avoid auto-ignition. The turbine exhausts to atmospheric pressure.
TABLE A-16 Properties of the atmosphere at high altitude Source U.S. Standard Atmosphere Supplements, U.S. Government Printing OHice, 1966 . Based on year-round mean conditions at 45

latitude and varies with the time of the year and the weather patterns. The conditicns at sea level (z−0) are taken to be P−101.325kPa,T−15C. rho−1.2250 kg/m
3
. g=9.80665 m
2
/s

Answers

Compression final volume (V2): Approximately 0.1768 m^3, Intercooler outlet temperature (T2): 303.15 K, Expansion final volume (V3): Approximately 0.0884 m^3, Turbine exhaust pressure (P4): 101.325 kPa

Based on the given conditions, we can calculate the operating conditions for the turbocharged and intercooled Otto cycle as follows:

Isentropic Compression:

Since the compression is isentropic, we can use the isentropic relation for the compression process: P2/P1 = (V1/V2)^(γ/(γ-1)), where P1 is the initial pressure, V1 is the initial volume (given as 1 m^3), γ is the specific heat ratio (given as 1.4), P2 is the final pressure, and V2 is the final volume.

Given that the pressure compression ratio is 2:1, we have P2 = 2P1. Plugging in the values, we can solve for V2:

2P1/P1 = (1/V2)^(1.4/(1.4-1))

2 = 1/V2^0.4

V2^0.4 = 1/2

V2 = (1/2)^2.5

V2 ≈ 0.1768 m^3

Intercooler Outlet Temperature:

The intercooler reduces the temperature of the compressed air. We know that the intercooler outlet temperature is 30°C. However, to use this value in calculations, we need to convert it to Kelvin:

T2 = 30 + 273.15 = 303.15 K

Isentropic Expansion:

Similar to the compression process, we can use the isentropic relation for the expansion process to determine the final volume of the expansion:

P3 = P2 = 2P1

V3/V2 = (P2/P3)^(1/(γ-1))

1 = (2/1)^(1/(γ-1))

V3 = V2/2^0.4

V3 ≈ 0.0884 m^3

Turbine Exhaust Pressure:

The turbine exhausts to atmospheric pressure, which is approximately 101.325 kPa.

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which planet has the closest gravity to Earth?

Answers

The answer would be Venus.
The answer is Venus.
In terms of size, average density, mass, and surface gravity, Venus is also very similar to Earth.

1. Given a list of atomic model descriptions:
A: electron shells outside a central nucleus
B: hard, indivisible sphere
C: mostly empty space
Which list of atomic model descriptions represents
the order of historical development from the earliest
to most recent?
A) A, B, CBA, C, B
CB, C, A D) B, A, C

Answers

Answer: A: electron shells outside a central nucleus

B: hard, indivisible sphere

C: mostly empty space

Which list of atomic model descriptions represents

the order of historical development from the earliest

to most recent?

Explanation:

3

Atomic models have been proposed throughout history describing the possible arrangements of different particles inside the atoms.

The very first model for atom was given by Dalton known as the solid sphere model that was an indivisible hard sphere.The model given by Rutherford that was known as nuclear model  mostly included empty space.The model given by Shrodinger showed electron shells as being outside the central nucleus.

Thus, the correct order of atom model is B C A. Hence, the correct answer is option C.

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What difference does being wet or dry have on the severity of shock if a person comes into contact with 120 v?.

Answers

When a person comes into contact with electricity, the severity of the shock can be affected by whether they are wet or dry.

If a person is wet, the water on their skin can conduct electricity and allow it to pass through their body more easily, increasing the severity of the shock.

On the other hand, if a person is dry, the resistance to the flow of electricity is higher, reducing the severity of the shock.

In the case of a 120 V electrical shock, the severity of the shock can vary depending on the conditions.

It is important to note that any electric shock can be dangerous and potentially life-threatening, regardless of whether a person is wet or dry.

If someone comes into contact with electricity, it is crucial to seek medical attention immediately.

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according to newton's 3rd law, an action reaction pair of forces have equal magnitudes in the same direction or equal magnitudes in opposite direction?

Answers

Explanation:

According to newton's 3rd law of motion, the action and reaction force act in two different objects. For every action, there is an equal and opposite reaction.

Let F₁₂ is the force that object 1 experienced on object 2 and F₂₁ is the force that object 2 will experience on object 2. So,

F₁₂ = -F₂₁

So, an action-reaction pair of forces have equal magnitudes in the opposite direction.

The small bunny exerts a force of 15 Newtons as it hops a distance of 3 meters to pass the large rabbit. How much work did the small bunny do?
45 Joules
0.2 Joules
18 Joules
5 Joules

Answers

Answer:

W = F × d

W = 15 × 3

W = 45 Joules

6. What is the uncertainty in position of a proton with mass 1.673 x 10-27 kg and kinetic energy 1.2 keV?

Answers

According to Heisenberg's Uncertainty Principle, it is impossible to determine the position and momentum of a particle with absolute certainty at the same time. The Uncertainty Principle is defined as Δx * Δp ≥ h/4π, where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and h is Planck's constant.
For the given problem, the uncertainty in position of a proton with mass 1.673 x 10-27 kg and kinetic energy 1.2 keV can be calculated as follows:

We know that the momentum p of a particle is given by p = mv, where m is the mass of the particle and v is its velocity.
The kinetic energy of the proton can be converted to momentum using the equation E = p²/2m, where E is the kinetic energy.
1.2 keV = (p²/2m)    (1 eV = 1.6 x 10^-19 J)
p²/2m = 1.92 x 10^-16 J
The momentum p of the proton can be calculated by taking the square root of both sides:
p = √(2mE) = √(2 x 1.673 x 10^-27 x 1.6 x 10^-16) = 7.84 x 10^-22 kg m/s

Using Heisenberg's Uncertainty Principle, we can calculate the uncertainty in position as follows:
Δx * Δp ≥ h/4π
Δx ≥ h/4πΔp
Substituting the values of h, Δp, and solving for Δx:
Δx ≥ (6.626 x 10^-34)/(4π x 7.84 x 10^-22)
Δx ≥ 2.69 x 10^-12 m

Therefore, the uncertainty in position of the proton is 2.69 x 10^-12 m.

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Assume a fabrication process improves the yield from 0.92 to 0.95. find the defects per area unit for each version of the technology given a die area of 200 mm.

Answers

The fabrication process improves the yield from 0.92 to 0.95. The defects per area unit for 0.92 and 0.95 technology are 0.042 per cm² and 0.026 per cm² respectively

The yield is increased by a manufacturing procedure from 0.92 to 0.95 the defects will be;

Given Data

Suppose the area of the die is 2 cm²

The defects per unit area with a yield of 0.92 and 0.95 must be determined

Solution

Equation for yield

Yield = 1/(1+(defects × die area/2)²

The yield equation has been rearranged

Defects = 2×(1√(yield)-1)/die area

First, we find for the technology of 0.92

Defects = 2×(1√(yield)-1)/die area

Putting the value of yield and die are 0.92 and 2 cm² respectively

Defects =2× (1√(0.92-1)/2

Defects = 0.042 per cm²

Now, find for the technology of 0.95

Putting the value of yield and die which are 0.95 and 2 cm² respectively

Defects=2× (1√(0.95-1)/2

Defects=0.026 per cm²

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An extraterrestrial civilisation lives on a planet with a very elliptical orbit. Additionally, thousands of large asteroids orbit their solar system. The civilisation uses the light from their home star to count the number of asteroids in the direct line between the star and their planet. For a first measurement, they count the asteroids for 60 days and detect 1000 objects. Several months later, they start a second measurement: This time, they count for 80 days. How many asteroids will they detect during the second measurement? Explain why. (Note: Assume that the asteroids are homogeneously distributed in their solar system.)





i will mark as a brainiest please help me as soon ​

An extraterrestrial civilisation lives on a planet with a very elliptical orbit. Additionally, thousands

Answers

For Kepler's third law this can be solved as normal ratios

1000/60=x/80100/6=x/806x=8000x=8000/6x=1333.34asteroids

The number of asteroids which will be detected during the second measurement is 1333.34.

What is an Asteroid?

These are referred to objects which revolve round the sun and are characterized by their small rocky shape.

Kepler's third law can be used to solved it using normal ratios

1000/60=x/80

100/6 = x/80

6x = 8000

x= 8000/6

x=1333.34asteroids

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1.5 x 10^3 standard notation

Answers

Answer:

1500

Explanation:

Other Questions
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