Answer:
The SI unit of kinetic energy is Joules.
Step-by-step explanation:
The unit of work done is Joules.
Work done = Force × displacement
For units :
W = N×m
N is newton (unit of force) and m is metre
N = kg m/s²
⇒ W = kg m/s² × m
W = kgm²/s² ....(1)
Kinetic energy of an object is given by :
K = (1/2) mv²
For units :
K = kg× (m/s)²
K = kgm²/s² ....(2)
We know that, kgm²/s² = Joules
From equation (1) and (2), we find that both work done and kinetic energy have same unit i.e. Joules.