The problem with this topic is that is it technical. I am going to try to make this a leisure read as opposed to a physics homework assignment.
A mobile, manufactured, or modular home's roof is a very basic construction of trusses, plywood, some type of underlayment, and some kind of covering like shingle or metal. A stationary home has the same roof layers but the trusses are thicker. However, under the roof is a big difference, there's most likely an attic. The attic is an air space that contains insulation too. A large majority of mobile homes lack an attic. There is no buffer between the roof and the living area. Insulation helps regulate the temperature of the living area as well, it helps maintain coolness when the A/C is on and heat when the heater is on.
Since there is no attic, there is also no ventilation system. In a stationary home with an attic, the air comes up through the holes in the soffit and pushes the warmer air out the top vents. These vents are called ridge vents.
Ok, so how do we solve the problem of no attic or ventilation? We put the most reflective building material on the roof. Just plain galvalume metal on the roof reflects about 45% of the sun's energy. Image the difference on your electric bill. Other colors of metal roofs vary in reflectivity.
"What is known in the metal roofing industry as "cool metal roofing" can significantly reduce a building's long-term energy use. Through the application of heat deflecting metal coatings, energy costs can be reduced up to 40% or more, according to a study conducted by Oak Ridge National Laboratory"- https://www.metalroofing.com/residential-metal-roofing/benefits/
If you have any questions or would like a free estimate please call Christian at 321-223-6026 or Thomas at 321-339-6479.