It takes 15 s to raise a 1200-kg car and the supporting 300-kg hydraulic car-lift platform to a height of 2.8 m.

Determine
- The average output power delivered by the hydraulic pump to lift the system,
- The average power electric required, knowing that the overall conversion efficiency from electric to mechanical power for the system is 82 percent.

The velocity of the lift of Problem 13.47 increases uniformly from zero to its maximum value at mid-height 7.5 s and then decreases uniformly to zero in 7.5 s. Knowing that the peak power output of the hydraulic pump is 6 kW when the velocity is maximum, determine the maximum life force provided by the pump.

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