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labwork [276]
3 years ago
14

In January 2006, astronomers reported the discovery of a planet comparable in size to the earth orbiting another star and having

a mass of about 5.5 times the earth's mass.
It is believed to consist of a mixture of rock and ice, similar to Neptune. Take mass Earth=5.97x10^24 kg and radius Earth=6.38x10^6 m. If this planet has the same density as Neptune (1.76 g/cm^3), what is its radius expressed in kilometers?
Physics
1 answer:
Orlov [11]3 years ago
8 0

Answer:

R = 5.28  103 km

Explanation:

The definition of density is

              ρ = m / V

              V = m /ρ

Where m is the mass and V the volume of the body

The volume of a sphere is

            V = 4/3 π r³

Let's replace

             4/3 π r³ = m / ρ

             R =∛ ¾ m / ρ π

The mass of the planet is

              M = 5.5 Me

              R = ∛ ¾ 5.5 Me /ρ π

Let's reduce the density to SI units

             ρ = 1.76 g / cm³ (1 kg / 10³ g) (10² cm / 1 m)³

             ρ = 1.76 10³ kg / m³

Let's calculate

               R = ∛ ¾ 5.5 5.97 10²⁴ / (1.76 10³ pi)

               R = ∛ 0.14723 10²¹

               R = 0.528 10⁷ m

               R = 0.528 104 km

               R = 5.28  103 km

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Answer:

Genetic counseling without testing cost on average $213, whereas counseling, testing, and disclosure of results totaled $2057. A brief physician-based counseling instead of genetic counselor-based counseling would produce only small reductions in total costs.

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8 0
3 years ago
A pendulum swings back and forth. If the mass of the pendulum is 3kg and it starts from a height of 1m.How much kinetic energy d
tatiyna

From the principle of energy conservation, the kinetic energy of the pendulum at 0.5 m is 14.7 J.

<h3>What is a pendulum?</h3>

A pendulum swings back and forth and can be used to show the change of potential energy to kinetic energy and vice versa.

Given that the kinetic energy is converted to the potential energy; the potential energy at 0.5 m is 3 * 9.8 * 0.5 = 14.7 J.

Following the principle of energy conservation, the kinetic energy of the pendulum at 0.5 m is 14.7 J.

Learn more about pendulum:brainly.com/question/14759840

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8 0
2 years ago
Two golf balls with the same mass were hit at the same time. Golf ball A went a shorter distance than golf ball B. What could be
Firdavs [7]

Answer:

Golf ball A was hit with a weaker force

Explanation:

Golf ball B went a larger distance than golf ball A, so we could think friction affected golf ball A rather than golf ball B. That is why the first two choices are wrong.

The strongest forced applied made golf ball B go further.

7 0
3 years ago
Read 2 more answers
A blue-green photon (λ = 488 nm ) is absorbed by a free hydrogen atom, initially at rest. What is the recoil speed of the hydrog
Natalka [10]

Answer:

The recoil speed is 2.207\times 10^{4} m/s

Solution:

Wavelength of a blue-green photon, \lambda_{BG} = 488 nm = 488\times 10^{- 9} m

Now, the energy associated with the blue-green photon:

E_{BG} = \frac{hc}{\lambda_{BG}}

where

h = Planck's constant

C = speed of light ion vacuum

E_{BG} = \frac{6.626\times 10^{- 34}\times 3\times 10^{8}}{488\times 10^{- 9}}

E_{BG} = 4.07\times 10^{- 19} J

Also, we know that the recoil speed can be calculated by the KInetic energy which is equal to the Energy of the blue-green photon:

KE_{H} =\frac{1}{2}m_{p}v_{H}

where

v_{H} = velocity of Hydrogen atom

m_{p} = 1.67\times 10^{- 27} kg = mass of H-atom

Now,

KE_{H} =\frac{1}{2}m_{p}(v_{H})^{2}

4.07\times 10^{- 19} =\frac{1}{2}\times 1.67\times 10^{- 27}\times (v_{H})^{2}

v_{H} = \sqrt(4.87\times 10^{8}) = 2.207\times 10^{4} m/s

7 0
3 years ago
How is light being described?
Slav-nsk [51]
Light is described as both wave as well particle because light behave as wave in phenomenon like diffraction, interference, refraction, Doppler effect, etc whereas it behave as a particle in phenomenon like photoelectric effect, etc. Hope this helps.
7 0
4 years ago
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