Energy Calculator:
Enter the values of mass, m(kg) and speed of light, c(m/s) to determine the value of Energy, E(J).
Energy Formula:
Energy is the capacity of a system to perform work and exists in various forms, such as kinetic, potential, thermal, and nuclear energy. In physics, Einstein’s equation E(J) = m(kg) * c2(m/s) expresses the relationship between mass and energy, showcasing how mass can be converted into energy and vice versa.
The equation reveals that even a small amount of mass can yield an enormous amount of energy due to the factor c2(m/s), the speed of light squared. This principle forms the foundation of nuclear reactions, where a fraction of mass is transformed into vast energy amounts.
E(J) = m(kg) * c2(m/s) is pivotal in understanding energy-mass equivalence, where E represents energy in joules (J), mmm is mass in kilograms (kg), and c is the speed of light in a vacuum 3 * 108m/s. The speed of light being a universal constant, emphasizes that energy and mass are interlinked across all systems, irrespective of their motion.
This equation plays a crucial role in fields like nuclear physics, astrophysics, and cosmology, providing insights into processes such as star formation and nuclear fission/fusion. The formula can be rearranged to calculate either mass or energy depending on the given parameters. Applications include calculating the energy released in nuclear reactions or determining the mass defect in such processes.
Energy, E(J) in Joules equals mass, m(kg) in kilograms multiplied by the square of the speed of light, c(m/s) in metres per second.
Energy, E(J) = m(kg) * c2(m/s)
E(J) = energy in Joules, J.
m(kg) = mass in kilograms, kg.
c(m/s) = speed of light in metres per second, m/s.
Energy Calculation:
1.A mass of 0.5 kg is fully converted into energy. Calculate the energy released.
Given: m(kg) = 0.5kg, c(m/s) = 3 * 108m/s.
Energy, E(J) = m(kg) * c2(m/s)
E(J) = 0.5 * (3 * 108)2
E(J) = 4.5 * 1016J.
2.A nuclear reaction releases 9 * 1016J of energy. Calculate the mass converted into energy.
Given: E(J) = 9 * 1016J, c(m/s) = 3 * 108m/s.
Energy, E(J) = m(kg) * c2(m/s)
m(kg) = E(J) / c2(m/s)
m(kg) = 9 * 1016 / (3 * 108)2
m(kg) = 1kg.