An object with a mass of 2.0 kg is initially at rest at a position x = 0. A non-constant force F is applied to the object over a displacement of 6.0 m, as shown in the graph. What is the total work done on the object at the end of 6.0 m? Write the equation which relates work done and kinetic energy.

Refrigerant-134a flows through a carnot heat pump cycle at 0.5 kg/s. it is known that the maximum absolute temperature in the cycle is 1.1 times the minimum absolute temperature, and the net power input to the cycle is 2.5 kw. if the refrigerant changes from a saturated vapor to a saturated liquid during the heat rejection process, determine the maximum magnitude of the enthalpy of vaporization for this process in kj/kg (with 3 significant figures).