ideasrule said:Mass is definitely not [length]^3 [time]^-2. That link is a crackpot website.
M = L^3 T^-2 is a mathematical equation that represents the relationship between mass (M), length (L), and time (T). It states that the units for mass are equal to the units for length cubed (L^3) divided by the units for time squared (T^-2). This equation is commonly used in physics and other scientific fields.
M = L^3 T^-2 can be derived using dimensional analysis, which is a mathematical method for converting between units. By manipulating the units for mass, length, and time, we can arrive at the equation M = L^3 T^-2. This process involves canceling out units and ensuring that the remaining units on both sides of the equation are equivalent.
M = L^3 T^-2 is important in science because it allows us to understand the relationships between physical quantities. By knowing how mass, length, and time are related, we can make predictions, perform calculations, and solve problems in various scientific fields, such as physics, chemistry, and engineering.
Yes, M = L^3 T^-2 can be applied to real-world situations. For example, if you know the mass and dimensions of an object, you can use this equation to calculate its density (mass per unit volume). Or, if you know the distance and time it takes for an object to travel, you can use this equation to calculate its speed (distance per unit time).
Yes, there are other equations that are similar to M = L^3 T^-2, such as E = mc^2, which represents the relationship between energy (E), mass (m), and the speed of light (c). These equations all use dimensional analysis and are important in understanding the fundamental principles of the physical world.