1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Igoryamba
4 years ago
5

We discover a nearby star with two planets. The first planet has an orbit period of 10 years and is in a circular orbit with rad

ius 106 km. The second planet has an orbit period of 15 years. What is its orbit radius? You may assume it is also in a circular orbit.
Engineering
1 answer:
Ket [755]4 years ago
8 0

Answer: 139 Km.

Explanation:

The question tells us that a planet A has an orbit period of 10 years and its circular orbit has a radius of 106 Km, whilst a planet B has an orbit period of 15 years (also assuming a circular orbit), both orbiting a nearby star.

This information allow us to use the Kepler's 3rd law, for the special case in which the orbit is circular.

Kepler's 3rd law, tells that there exist a direct proportionality between the square of the orbit period, and the cube of the orbit radius (in the more general case, with the cube of the semi-major axis of the elipse), for celestial bodies orbiting a same star.

(like Earth and Mars orbiting Sun).

So, for planet A and planet B (orbiting a same star), we can write the following:

(TA)²/ (TB)² = (rA)³ / (rB)³

Replacing by TA= 10 years, TB= 15 years, rA= 106 Km, and solving for Rb, we get  RB= 139 Km.

You might be interested in
Nêu đặc điểm của tín hiệu PAM rời rạc dạng lưỡng cực NRZ, RZ
zhuklara [117]

Answer:

yes it is certainly good ice cream

4 0
3 years ago
An insulated piston-cylinder device contains 0.15 of saturated refrigerant-134a vapor at 0.8 MPa pressure. The refrigerant is no
Stells [14]

Answer:

Assumption:

1. The kinetic and potential energy changes are negligible

2. The cylinder is well insulated and thus heat transfer is negligible.

3. The thermal energy stored in the cylinder itself is negligible.

4. The process is stated to be reversible

Analysis:

a. This is reversible adiabatic(i.e isentropic) process and thus s_{1} =s_{2}

From the refrigerant table A11-A13

P_{1} =0.8MPa   \left \{ {{ {{v_{1}=v_{g}  @0.8MPa =0.025645 m^{3/}/kg } } \atop { {{u_{1}=u_{g}  @0.8MPa =246.82 kJ/kg } -   also  {{s_{1}=s_{g}  @0.8MPa =0.91853 kJ/kgK } } \right.

sat vapor

m=\frac{V}{v_{1} } =\frac{0.15}{0.025645} =5.8491 kg\\and \\\\P_{2} =0.2MPa  \left \{ {{x_{2} =\frac{s_{2} -s_{f} }{s_{fg }}=\frac{0.91853-0.15449}{0.78339}   = 0.9753 \atop {u_{2} =u_{f} +x_{2} }(u_{fg}) =  38.26+0.9753(186.25)= 38.26+181.65 =219.9kJ/kg \right. \\s_{1} = s_{2}

T_{2} =T_{sat @ 0.2MPa} = -10.09^{o}  C

b.) We take the content of the cylinder as the sysytem.

This is a closed system since no mass leaves or enters.

Hence, the energy balance for adiabatic closed system can be expressed as:

E_{in} - E_{out}  =ΔE

w_{b, out}  =ΔU

w_{b, out} =m([tex]u_{1} -u_{2)

w_{b, out}  = workdone during the isentropic process

=5.8491(246.82-219.9)

=5.8491(26.91)

=157.3993

=157.4kJ

4 0
3 years ago
A book of the Law was found in the Temple, which was being repaired, during the___
grigory [225]

Answer:

2

Explanation:

5 0
3 years ago
Read 2 more answers
The modifications of superheat and reheat for a vapor power plant are specifically better for the operation which of the followi
MatroZZZ [7]

The modifications of superheating and reheat for a vapor power plant are specifically better for the operation which of the following components b.Boiler.

<h3>What are the primary additives in the vapour strength cycle?</h3>

There are 5 steam strength cycles: The Carnot cycle, the easy Rankine cycle, the Rankine superheat cycle, the Rankine reheat cycle and the regenerative cycle.

  1. Central to expertise the operation of steam propulsion is the primary steam cycle, a method wherein we generate steam in a boiler, increase the steam via a turbine to extract work, condense the steam into water, and sooner or later feed the water again to the boiler.
  2. Reheat now no longer best correctly decreased the penalty of the latent warmness of vaporization in steam discharged from the low-stress quit of the turbine cycle, however, it additionally advanced the first-rate of the steam on the low-stress quit of the mills via way of means of decreasing condensation and the formation of water droplets inside the turbine.

Read more about the Boiler:

brainly.com/question/17362931

#SPJ1

7 0
3 years ago
if two or more resistors are connected in parallel, the total resistance is _ than any single resistor
Andreas93 [3]
Parallel Resistor Equation
If the two resistances or impedances in parallel are equal and of the same value, then the total or equivalent resistance, RT is equal to half the value of one resistor. That is equal to R/2 and for three equal resistors in parallel, R/3, etc.
7 0
3 years ago
Other questions:
  • Describe three advantages and three disadvantages of JIT?
    12·1 answer
  • What is flow energy? Do fluids at rest possess any flow energy?
    13·1 answer
  • Consider laminar, fully developed flow in a channel of constant surface temperature Ts. For a given mass flow rate and channel l
    15·1 answer
  • There have been many attempts to manufacture and market plastic bicycles. All have been too flexible and soft. Which design-limi
    9·1 answer
  • A combined gas-steam power cycle uses a simple gas turbine for the topping cycle and a simpleRankine cycle for the bottoming cyc
    8·1 answer
  • If you owned a business, what are some of the ways you could follow green computing recommendations with regards to recycling an
    13·1 answer
  • The following displacement (cm), output (V) data have been recorded during a calibration of an LVDT. Displacement (cm), output (
    15·1 answer
  • Helium gas expands in a piston-cylinder in a polytropic process with n=1.67. Is the work positive, negative or zero?
    8·1 answer
  • What is the angle of the input
    12·1 answer
  • Name the ferrous metal that most workshop tools are made from??
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!