An 875 g compact car speeds up from 22 m/s to 44 m/s. how work much was done by the engine on the car to increase its speed?

In this case:

work = ΔKE

Calculating the initial Kinetic Energy

KEi = 1/2 · m · v²

KEi = 1/2 · 875 · 22²

KEi = 1/2 · 875 · 484

KEi = 242 · 875

KEi = 211450 J

Calculating the final Kinetic Energy

KEf = 1/2 · m · v²

KEf = 1/2 · 875 · 44²

KEf = 1/2 · 875 · 1936

KEf = 968 · 875

Kef = 847000 J

The vation of Kinetic Energy is

ΔKE = 847000 - 211450

ΔKE = 635550 J
 

ω = 635550 J < This is the answer