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
Suppose that a block of mass 2 kg is pulled to the right with a force of 10 N, and the friction force on the block is directed t
Law Incorporation [45]

Answer:

The block has an acceleration of 3 m/s^{2}

Explanation:

By means of Newton's second law it can be determine the acceleration of the block.

\sum F_{r} = ma   (1)

Where \sum F_{r} represents the net force, m is the mass and a is the acceleration.

F_{x} + F{y} = ma  (2)

The forces present in x are F = 10 N and f = 4 N (the friction force):

F_{x} = 10 N - 4 N

Notice that f subtracts to F since it is at the opposite direction.

F_{x} = 6 N

The forces present in y balance each other:

F_{y} = 0

Therefore:

6 + 0 = ma  

6 N = (2kg)a  (3)

But 1 N = 1 Kg.m/s^{2} and writing (3) in terms of a it is get:

a = \frac{6 Kg.m/s^{2}}{2 Kg}  

a = 3 m/s^{2}

So the block has an acceleration of a = 3 m/s^{2}.

4 0
3 years ago
You drop a steel ball bearing, with a radius of 2.40 mm, into a beaker of honey. Note that honey has a viscosity of 6.00 Pa/s an
Stells [14]

Answer:

The “terminal speed” of the ball bearing is 5.609 m/s

Explanation:

Radius of the steel ball R = 2.40 mm

Viscosity of honey η = 6.0 Pa/s

\text { Viscosity has Density } \sigma=1360 \mathrm{kg} / \mathrm{m}^{3}

\text { Steel has a density } \rho=7800 \mathrm{kg} / \mathrm{m}^{3}

\left.\mathrm{g}=9.8 \mathrm{m} / \mathrm{s}^{2} \text { (g is referred to as the acceleration of gravity. Its value is } 9.8 \mathrm{m} / \mathrm{s}^{2} \text { on Earth }\right)

While calculating the terminal speed in liquids where density is high the stokes law is used for viscous force and buoyant force is taken into consideration for effective weight of the object. So the expression for terminal speed (Vt)

V_{t}=\frac{2 \mathrm{R}^{2}(\rho-\sigma) \mathrm{g}}{9 \eta}

Substitute the given values to find "terminal speed"

\mathrm{V}_{\mathrm{t}}=\frac{2 \times 0.0024^{2}(7800-1360) 9.8}{9 \times 6}

\mathrm{V}_{\mathrm{t}}=\frac{0.0048 \times 6440 \times 9.8}{54}

\mathrm{V}_{\mathrm{t}}=\frac{302.9376}{54}

\mathrm{V}_{\mathrm{t}}=5.609 \mathrm{m} / \mathrm{s}

The “terminal speed” of the ball bearing is 5.609 m/s

7 0
3 years ago
Movement of a molecule against its concentration gradient can occur through Select one or more: a. facilitated diffusion b. pass
uranmaximum [27]

Answer:

The answer to your question is:

Explanation:

There are two kinds of cell transport passive transportation and active transportation.

Passive transportation does not need energy because molecules move from higher concentration to lower concentration.

Active transportation needs energy because molecules moves against concentration.  

a. facilitated diffusion It's an example of passive transportation so this answer is wrong.

b. passive transport Molecules move in favor of concentration so this answer is wrong.

c. osmosis is another example of passive transport so this answer is wrong.

d. simple diffusion it's another example of passive transport, so it's wrong this answer.

e. active transport this is the right answer.

5 0
3 years ago
6 latter word and it has a s and a I and it has mass (9.______________liquids, and gases all have mass.)
Firdavs [7]

Answer:

Solids

Explanation:

Solids, liquids, and gases all have mass.

7 0
2 years ago
If the forces acting on an object are balanced, the object may change speed, change direction, or do both. Please select the bes
Leviafan [203]

False is ur answer sorry if i am too late

8 0
3 years ago
Read 2 more answers
Other questions:
  • What metric units are used to report the mass of an object
    12·1 answer
  • List 3 indicators that a chemical reaction has occurred.
    8·1 answer
  • PLEASE HELP ME GUYS IM DESPERATE!!!
    14·1 answer
  • PLEASE HELP WITH ONE QUESTION!
    7·1 answer
  • Where do asteroids come from? a. There are the remains of a planet between Mars and Jupiter that broke up. b. They are escaped s
    14·1 answer
  • A rectangular coil with dimensions 0.14 m 0.14 m by 0.27 m 0.27 m has 550 550 turns of wire. It is rotated about its long axis i
    6·1 answer
  • Name the following ionic bonds.
    14·2 answers
  • Temperature
    7·1 answer
  • What type of metals are known as ferromagnetic metals
    12·1 answer
  • If the pH of a substance is 12.4, the substance is a _______
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!