Question

the concept of energy can be calculated in multiple ways. which units are used for energy? check all that apply.
□ joules
□ kilogram meters²/seconds²
□ newtons
□ kilojoules
□ meters/seconds²

Explanation:

Step1: Recall the unit of energy

The standard unit of energy in the SI system is the joule ($J$).

Step2: Analyze the derived unit

Energy can also be expressed in terms of base units. Using the formula for work \(W = F\times d\) (where \(F = ma\)), substituting \(F=ma\) (with \(m\) in kg, \(a\) in \(m/s^{2}\)) and \(d\) in \(m\)), we get \(W=(kg\times m/s^{2})\times m=kg\cdot m^{2}/s^{2}\).

Step3: Consider the prefix

Kilojoules (\(kJ\), where \(1kJ = 10^{3}J\)) are also a valid unit for energy as they are a multiple of the joule.

Step4: Eliminate non - energy units

Newtons (\(N\)) are the unit of force (\(F = ma\), \(N=kg\cdot m/s^{2}\)). Meters per second squared (\(m/s^{2}\)) is the unit of acceleration.

Answer:

joules, kilogram meters²/seconds², kilojoules