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
kiruha [24]
3 years ago
5

Given that the acceleration of gravity at the surface of Mars is 0.38 of what it is on Earth, and that Mars' radius is 3400 km,

determine the mass of Mars. please show me how to do this!!!

Physics
2 answers:
Valentin [98]3 years ago
5 0

Mass of Mars is about 6.4 × 10²³ kg

\texttt{ }

<h3>Further explanation</h3>

Let's recall the Gravitational Force formula:

\boxed {F = G\ \frac{m_1 m_2}{R^2}}

where:

F = Gravitational Force ( N )

G = Gravitational Constant ( = 6.67 × 10⁻¹¹ Nm²/kg² )

m = mass of object ( kg )

R = distance between object ( m )

Let us now tackle the problem!

\texttt{ }

<u>Given:</u>

acceleration of gravity at the surface of Earth = g₁

acceleration of gravity at the surface of Mars = g₂ = 0.38 g₁

radius of Mars = R₂ = 3400 km

radius of Earth = R₁ = 6400 km

mass of Earth = M₁ = 6 × 10²⁴ kg

<u>Asked:</u>

mass of Mars = M₂ = ?

<u>Solution:</u>

g_2 = 0.38 g_1

G\frac{M_2}{(R_2)^2} = 0.38\ G \frac{M_1}{(R_1)^2}

M_2 = 0.38\ (\frac{R_2}{R_1})^2 M_1

M_2 = 0.38 \times (\frac{3400}{6400})^2 \times 6 \times 10^{24}

M_2 \approx 6.4 \times 10^{23} \texttt{ kg}

\texttt{ }

<h3>Conclusion :</h3>

Mass of Mars is about 6.4 × 10²³ kg

\texttt{ }

<h3>Learn more</h3>
  • Unit of G : brainly.com/question/1724648
  • Velocity of Runner : brainly.com/question/3813437
  • Kinetic Energy : brainly.com/question/692781
  • Acceleration : brainly.com/question/2283922
  • The Speed of Car : brainly.com/question/568302

\texttt{ }

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Gravitational Force

soldier1979 [14.2K]3 years ago
3 0
The equation that is applicable is as follows:
F = G * M * m ÷ r^2 <span>F = G * M * m ÷ r^2 </span>
Weight = m * g 
Weight = F m * g = G * M * m ÷ r^2 g = G * M ÷ r^2 
Now you can determine the mass of the planet. For mars, r = 3,400,000 = 3.4 * 10^6 meters 
0.38 = 6.67 * 10^-11 * M ÷ (3.4 * 10^6)^2 0.38 = 6.67 * 10^-11 * M ÷ 1.156 * 10^13 
3.8 = 6.67 * 10^-11 * M ÷ (3.4 * 10^6)^2 0.38 = 6.67 * 10^-11 * M ÷ 1.156 * 10^13 Multiply both sides by 1.156 * 10^13 
1.156 * 10^13 * 0.38 = 6.67 * 10^-11 * M Divide both sides by 6.67 * 10^-11 
1.156 * 10^13 * 0.38 ÷ 6.67 * 10^-11 = M The answer is approximately 6.586 * 10^22 kg The actual mass of Mars is 6.42 * 10^23 kg. I think the acceleration of gravity on Mars is 3.8 m/s^2 
1.156 * 10^13 * 3.8 ÷ 6.67 * 10^-11 = M The answer is approximately 6.586 * 10^23 kg
You might be interested in
A student pushes a 5 kg box initially at rest along a flat, rough table with a rightward force of 10 N. The frictional force act
Pie

Answer:

Please find attached pdf

Explanation:

Download pdf
8 0
3 years ago
The brain is most active during which portion each sleep cycle
s2008m [1.1K]
Its during REM sleep. hope this helped
7 0
3 years ago
Read 2 more answers
Please Help.............................
Natalka [10]
Neutrons don't have any charge
7 0
3 years ago
Read 2 more answers
A deviant person would behave in a culturally unacceptable
aivan3 [116]

Answer:

True

Explanation:

This is because to know how someone behaves, they have to perform a particular action.

4 0
3 years ago
Mass is a measure of weight. True False
8_murik_8 [283]

Answer: False

Explanation: Mass is a measure of the amount of matter in an object.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Sort the chemical equations based on the chemical reactions they represent.
    13·2 answers
  • What is the frequency of a microwave with a wavelength of 3.52 mm?
    11·2 answers
  • A person weighing 504 Newtons enters an elevator and stands on a scale which reads his weight in Newtons. The elevator starts to
    10·1 answer
  • Where does the energy in the ecosystem start?
    11·2 answers
  • In a “minute to win it” game, cards are placed between cups to stack them. The contestant then pulls the card out in hopes that
    9·2 answers
  • What is the wavelength of an FM radio
    6·1 answer
  • Which of the following best defines
    8·1 answer
  • se lanza un cuerpo desde el origen con velocidad horizontal de 40 m/s, y con un ángulo de 60º. calcular la máxima altura y el al
    7·1 answer
  • Explain the difference in how particles are arranged in a solid,liquids and gases
    15·2 answers
  • 3. A Gas has a volume of 35 Liters at 10 atm pressure. To expand the volume to 80 Liters, what will the pressure be?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!