Indeed, but using the engine at the 84 hp level during acceleration or
climbing steep hills will be both possible and most efficient.
But it still uses far more fuel than traveling on a straight and flat road.
There's simply no way you get identical fuel use while doing more work.[/QUOTE]
No, climbing a hill and then descending to the original level is an
identical amount of work to taking a flat road of the same length,
providing only that you travel at the same constant speed and use the
same gear both up and down the hill as you would have on the flat road
and don't use the brakes.
The physics clearly says it's the same amount of work, and requires the
same amount of energy, so it may well use the same or even less fuel if
the engine is wroking at a power level that is more efficient on the
climb.
Notice that this is exactly how almost all airliners work on short hauls
(up to 500 km or so). They climb continually until about half way to
the destination and then throttle back to idle and glide the other half.
It's also the same with sailplanes (I fly them) that have engines. In
some of them you can cruise long distances with the engine on at around
160 - 200 km/h but it's *far* more efficient to run the engine at full
power to climb to 10,000+ ft (which takes 15 min or so, covering 30 - 40
km) and then turn the engine off and glide for the next 200 km.
You lose a lot of momentum going around corners unless they are highly
banked. That requires fuel to overcome, fuel which is not required on a
relatively flat highway. I forget the name of the principle involved, but
objects in motion don't want to change direction.
Given an "elastic collision" between the car and the corner, cornering
requires force but does not require a change in either energy or
momentum. There is no energy change in changing direction and the
momentum change is balanced out by the momentum change of the earth. If
you corner too fast then you'll wear your tyres, but normal cornering
wears tyres pretty much the same as driving straight.
Unless you have a torpedo-shaped car with a very slippery surface, such as
those aerodynamic bicycles, your best fuel efficiency will be around 50 mph,
plus-or-minus 5. Wind resistance is THE major factor.
50 mph? Where is that figure from? It may have been correct in the
1950's but it's not a law of nature. Car aerodynamics have improved
immensely since then. The average modern car *is* "torpedo shaped"
compared to just about anything from back then.