Answer:
810 kJ
Step-by-step explanation:
Work done is equal to change in kinetic energy
W=∆KE
Change in kinetic energy is given by
∆KE=½m(v²-u²)
Where ∆KE is the change in kinetic energy, m is mass of the vehicle, v is final velocity while u is initial velocity.
Since the vehicle must come to rest, the final velocity is zero.
Substituting 1800 kg for m, 0 m/s for v and 30 m/s for u then
∆KE=½*1800(0²-30²)=-810, 000J
Converted into kJ
∆KE=-810 kJ
Therefore, work done is 810 kJ