Is a 300hp Engine Necessary for Driving Within Speed Limits?

[Sheneron]

Homework Statement

I am having some trouble coming up with an answer to a couple of conceptual problems.

1. A car salesman claims that a souped-up 300hp engine is a necessary option in a compact car, in place of the conventional 130hp engine. Suppose you intend to drive the car within speed limits <= 65 mph. How would you counter this sales pitch?

-Im not really sure what to say. The math could be done to show why it is unnecessary, but this is a conceptual questions so I don't suppose that would work.

2. Who first stated the work-kinetic energy theorem? Who showed that it is useful for solving many practical problems? Do some research to answer these questions.

-The research has already been did, and I can't find out either of these.

Any help would be appreciated.

 

[Sheneron]

Nevermind about the first one.

But does anyone know who first stated the work-kinetic energy theorem, and who showed its usefulness?

I have looked al ot of places but I am having no luck.