Why Mars have tallest mountains?

  There are 8 planets in our solar system. From mercury to Neptune. Even though if we considering other dwarf planets and asteroids mars have all most tallest mountains in the solar system. In this session i am trying to explain why that happens. You can learn about top 5 mountains in the solar system from the below video

Now let us think why Mars.
First we just consider top 10 mountains in the solar system we could learn that 4 of them are from mars they are

Arsia Mons

Elysium Mons

Ascraeus Mons

Olympus Mons

  

The answer to the question why the maximum height for a mountain on mars can be provided by considering the elastic

properties of rocks. A mountain base is not under uniform compression and this provides some shearing stress to the rocks under which they can flow. The stress due to all the material on the top should be less than the critical shearing stress at which the rocks flow.

At the bottom of a mountain of height h, the

force per unit area due to the weight of the

mountain is hρg where ρ is the density of the material of the mountain and g is the

acceleration due to gravity. The material at the bottom experiences this force in the vertical direction, and the sides of the mountain are free. Therefore this is not a case of pressure or bulk compression. There is a shear component, approximately hρg itself. Now the elastic limit for a typical rock is 30 × 10⁷ N m². Equating this to hρg, with ρ = 3200 kg m³ (approximate density of rock on mars) 

hρg=30×10⁷

Therefore 

H=(30×10⁷)÷(3200×3.71)

Where g on mars~3.71 m/s²

Therefore H=25269 m

Means 25.2 km

Let us cheak this to Olympus mons height 

Yes our calculations is right let us cheak to earth too

For rock on earth

ρ = 3 × 103 kg m³

hρg = 30 × 10⁷ N m²

H=(30×10⁷)÷(30×10³×10)

Let g~10 m/s²

Therefore H~10000m

That means 10 km

Let us check this to Everest 

This also right. in my conclusion the cause for taller mountains on mars may

1.Lower gravity allows volcanoes to grow           higher.

2.Mars is large enough to have had             volcanoes in its past.

3.Weathering is very low on Mars, so large     volcanoes stay large.

4.Mars probably didn’t have any (or much)     plate tectonics in its past. This means that     heat from the interior had only a few places   to escape from (hot spots) rather than all   sorts of places to leak out (like the Ring of     Fire).

Composed by

Abhinav P Pradeep, wayanad, Kerala, India

Email:Abhinavppindia@gmail.com

Twitter: Abhinav P Pradeep

(@Abhinavppindia)