Assume that mountains higher than 10 km do not exist on Earth because bigger mountains could...

Assume that mountains higher than 10 km do not exist on Earth because bigger mountains could not be supported by the strength of rock at their bases. The pressure at the middle of the base of a mountain is equal to the weight of a column of rock (with unit cross section area) as high as the mountain. The pressure at the base of taller mountains would exceed the strength of the rock and the mountain would slump.

For rock of identical density (3000 kg m-3 ) and crushing strength, determine the maximum size cubic asteroid that could you could make out of two identical blocks with dimensions of L, L and L/2. The two blocks put together make a cube.

For a larger sized asteroid, the pressure between cubes caused by gravitational attraction would exceed the rock’s yield strength and it would flow - forming a more spherical shape. For calculation you can assume that the mass of block is concentrated at its center so that the pressure between the two blocks is just the force between the centers of mass divided by the contact area.

Solutions

Expert Solution

genius_generous answered 11 months ago

Next > < Previous

Related Solutions

How is it possible for investment to be bigger than savings just because we have banks...

How is it possible for investment to be bigger than savings just because we have banks in the system? Why is it a good thing that banks can lend out more money than was deposited?

Questions Assume: DAR = 10°C per km (10°C km-1 ) MAR = 6°C per km (6°C...

Questions Assume: DAR = 10°C per km (10°C km-1 ) MAR = 6°C per km (6°C km-1 ) DpR = 2°C per km (2°C km-1 ) for “dry” air, DpR = MAR for saturated air 5. Consider a parcel of air that approaches Canada’s west coast from over the Pacific Ocean. The air has a temperature of 12°C and a dew point temperature of 6°C. As the air blows onshore, it is forced to rise from sea level (0 m)...

Do higher or lower frequency travel through object easier (ie walls, mountains, etc)? For example 2.4g...

Do higher or lower frequency travel through object easier (ie walls, mountains, etc)? For example 2.4g is able to travel further than 5g with obstacles but X-rays appear to have a better penetration than 5g (ie 5g has trouble penetrating paper but X-ray can do it with ease). I've also noticed in personal experience that shorter antennas also work better in hills (which from my understanding smaller antennas use higher frequencies).

DQ: Why are the Jovian planets significantly bigger than the Terrestrial planets? Why do they have...

DQ: Why are the Jovian planets significantly bigger than the Terrestrial planets? Why do they have more moons?

An ethical act that could seriously injure employees is higher in ___________ than an ethical act...

An ethical act that could seriously injure employees is higher in ___________ than an ethical act that could result in offending members of the community. moral judgement moral awareness moral intensity ethical behavior situational factors

Could you explain why elements with atomic numbers higher than 50 have higher L-alpha and L-beta...

Could you explain why elements with atomic numbers higher than 50 have higher L-alpha and L-beta X-Ray Fluorescence than K-alpha and K-beta X-Ray Fluorescence? Thank you

Assume that your friend claims that he can run 20 km in less than an hour...

Assume that your friend claims that he can run 20 km in less than an hour and a professional sports team will recruit him after graduation based on this outcome so he does not worry about his GPA at the university. You would like to test this claim and take a random sample of 34 runs this year and find that he averaged 58.2 minutes. Assume that the standard deviation of his runs is 8.5 minutes and it is normally...

Question