Actually, that's one of three definitions for mass. See this excellent Wikipedia entry for the other two. I would argue that "Passive Gravitational Mass" is more relevant in the current discussion.
Good link. However, since the OP was trying to calculate power (Kilowatts), only the "inertial mass" is relevant as the physical equations cited use it: Power = Force (Weight: Inertial mass * gravitational constant) * Velocity (Rate of ascent)
Back to the OP (that I will update with Kiloran's corrections shortly), I still come up with numbers that seem to allow 20 m/s at 7% incline within the ICe's efficient zone: 20 kW (incline) + 6 kW (air resistance, car mechanics) = ~ 26 kW power demand. I'll have to go out and make a couple of quantitative runs.
Make sure you compare your hill climbs to level runs at the same speeds. Note: 1kW = 1.341hp, 26kW = 34.9hp The ICE has 76hp @ 5000 rpm (57 kW @ 5000 rpm) so you're looking at about an additional half the capacity of your ICE to ascend at 1 foot per second over the power required for a level run. Edit: P.S. Dont forget to add 60kg (your body) plus the weight of any cargo into your calculations.
If the guy standing on the street with his kilogram is suddenly the guy in the space capsule, weightless, he can still guesstimate that he's holding a kilogram by trying to wave it back and forth. He can still feel the force needed to accelerate and decelerate it. So it's still a kilogram even though it doesn't weigh anything. . The real challenge is to put it down on the frictionless surface and then walk away! . _H*