No. Zero mechanical energy means that there is no potential energy and no kinetic energy. Therefore, if kinetic energy is zero, becomes zero and hence, there will be no momentum. Mathematically,
Mechanical energy = 0
⇒ PE = 0, KE = 0
⇒ V = 0
⇒ mv = p = 0
(i) Calculate the kinetic energy of the car. (ii) Calculate the energy used in 1.0 s against the resistive force. (iii) What is the minimum power that the car engine has to deliver to the wheels? (iv) What form of energy is in the fuel, used by the engine to drive the car?