Final answer:
It is true that using F = ma and E = Fd shows both sides of E0 = mc² have the same units. However, it is false that wave-particle duality exists on the macroscopic scale, as it is a property of microscopic quantum particles.
Step-by-step explanation:
True or False Questions in Physics
Let's tackle two separate true or false questions related to physics principles:
The statement "It is possible to just use the relationships F = ma and E = Fd to show that both sides of the equation E0 = mc² have the same units" is true. Force (F) is defined as mass (m) times acceleration (a), where the units are kilograms times meters per second squared (kg*m/s²). Energy (E) is defined as force (F) times distance (d), hence with the units of force multiplied by meters (kg*m²/s²). Consequently, if we consider the energy of an object at rest (E0), and equate it to mc² (where c is the speed of light in meters per second), the mass (m) in kilograms multiplied by the speed of light squared (c², measured in m²/s²) indeed gives us units of energy.
The statement "Wave-particle duality exists for objects on the macroscopic scale" is false. Wave-particle duality is a concept in quantum mechanics which applies to microscopic particles, such as electrons and photons. On the macroscopic scale, objects do not exhibit wave-particle duality; they behave according to classical mechanics.