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
natita [175]
3 years ago
7

9) What would be the weight of a 59.1-kg astronaut on a planet with the same density as Earth and having twice Earth's radius?

Physics
1 answer:
Hunter-Best [27]3 years ago
5 0
The weight of the astronaut is given by
W=mg
where m=59.1 kg is his mass and g=9.81~m/s^2 is the gravitational acceleration on Earth. 

To solve the problem, we must find the value of g on the new planet. g is given by
g= \frac{GM}{r^2}
where G is the gravitational constant, M the mass of the planet and r its radius. 
The mass of the planet can be written as
M=dV
where d is the density and V the volume.
We can assume that the planet is a sphere, therefore the volume is proportional to r^3:
V= \frac{4}{3}\pi r^3
and we can write the mass as
M= \frac{4}{3} \pi d r^3
and then, g becomes
g= \frac{GM}{r^2}= \frac{4}{3} \frac{G \pi d r^3}{r^2}= \frac{4}{3} G \pi d r
So, in the end g is proportional to the radius of the planet, r (because the density of the new planet d is the same as the Earth's one. If the radius of the new planet is twice the Earth's radius, g will be twice the value of g on Earth:
g_{new}=2g=2\cdot9.81~m/s^2=19.62~m/s^2
And since the mass of the astronaut is always the same, the weight on the new planet will be twice the weight on Earth:
W_{new}=mg_{new}=2mg=1159~N
You might be interested in
13. Determine the kinetic energy of a 2000g roller coaster car that is moving with a speed of 2m/s.
zubka84 [21]

Answer:

4 Joules (if you mean 2000 grams)

4000 Joules (if you mean 2000 kilograms)

Explanation:

<h2><u><em>PLEASE MARK AS BRAINLIEST!!!!!</em></u></h2>
8 0
3 years ago
In a thermostat, what property of the bimetallic coil allows it to contract and expand? The two metals absorb different amounts
Reika [66]
Hello!

In a thermostat, the property of the bimetallic coil that allows it to contract and expand is that The two metals absorb different amounts of thermal energy. 

This bimetallic coil is used to transform thermal energy into mechanical movement. Two metals with different thermal expansivity are joined together parallelly and the changes of temperature cause bending in different directions depending on if the temperature is rising or descending. 

The differences in the thermal energy absorption of the two metals are the basis for the mechanism of this device. 
3 0
3 years ago
Read 2 more answers
How many protons, electrons and nurturing does krypton have NEED HELP ASAP THANK YOU
Assoli18 [71]

Answer:

Krypton – Mass Number – Neutron Number – Kr 2020-11-21 by Nick Connor Krypton is a chemical element with atomic number 36 which means there are 36 protons and 36 electrons in the atomic structure. The chemical symbol for Krypton is Kr.

Atomic Number: 36

Element: Krypton

Element Category: Noble Gas

Symbol: Kr

Explanation:

8 0
2 years ago
Read 2 more answers
A lamp consumes 1000J of ekectrical energy in 10s. Calculate its power.​
Mice21 [21]
You do 1000 divide it by 10 which equals 100 W
4 0
3 years ago
Planetary orbits... are spaced more closely together as they get further from the Sun. are evenly spaced throughout the solar sy
BaLLatris [955]

Answer:

E) are almost circular, with low eccentricities.

Explanation:

Kepler's laws establish that:

All the planets revolve around the Sun in an elliptic orbit, with the Sun in one of the focus (Kepler's first law).

A planet describes equal areas in equal times (Kepler's second law).

The square of the period of a planet will be proportional to the cube of the semi-major axis of its orbit (Kepler's third law).

T^{2} = a^{3}

Where T is the period of revolution and a is the semi-major axis.

Planets orbit around the Sun in an ellipse with the Sun in one of the focus. Because of that, it is not possible to the Sun to be at the center of the orbit, as the statement on option "C" says.

However, those orbits have low eccentricities (remember that an eccentricity = 0 corresponds to a circle)

In some moments of their orbit, planets will be closer to the Sun (known as perihelion). According with Kepler's second law to complete the same area in the same time, they have to speed up at their perihelion and slow down at their aphelion (point farther from the Sun in their orbit).

Therefore, option A and B can not be true.

In the celestial sphere, the path that the Sun moves in a period of a year is called ecliptic, and planets pass very closely to that path.  

4 0
3 years ago
Other questions:
  • A hot lump of 35.8 g of copper at an initial temperature of 70.7 °C is placed in 50.0 mL H2O initially at 25.0 °C and allowed to
    14·1 answer
  • hich best explains why no current is induced? The wire needs to be coiled less tightly. The wire needs to be straight, not coile
    7·1 answer
  • Discharge is not possible at ntp why​
    7·1 answer
  • What minerals can Fluorite scratch?
    13·1 answer
  • What are shadows?<br> A: Human dopplegangers<br> B: Absence of light
    8·2 answers
  • 4. A girl is sitting on a tire swing that is attached with a rope that is 2.1 m in length. Her dad pushes her with a speed of 3.
    15·1 answer
  • 15. If friction was completely removed from the track, what affect would this have on the roller coaster ride?
    14·1 answer
  • Newton’s Third Law of Motion states that for every action there is an equal and opposite reaction. Which of these illustrates Ne
    10·1 answer
  • The force that slows down a soccer ball rolling on the grass is the same force used to start a campfire. True or False
    9·2 answers
  • If I walk 30 m north and turn around and walk 10 m to the south, what is the magnitude
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!