An automobile manufacturer decides to build a car that can accelerate uniformly from 0 to 60 mph in 20 s. In metric Units, convert these numbers to m/s. The cars mass is to be about 2,000 kilograms. What is the force required?
\[\huge\color{red}p \huge\color{orange}u \huge\color{yellow}p \huge\color{green}p \huge\color{blue}i \huge\color{magenta}e \huge\color{red}s \]
thats cute
approximate guess 1 mile is about 1500 metres. 60 miles is about 90,000metres 1hr is 60 mins, is 60x60 = 3600 secs speed is 90,000/3600 ~ 900/36 ~ 900/30 (rounding down ... against the rules) ~ 90/3 ~30 m/s. So it's zero to 30m/s in 20secs. that's an acceleration of 30/20 m/s per second ~1.5m/s per second. F=ma, newton's second law next ... F = 2,000x1.5 =3,000 Newtons. That's quite a "g-force". If the "boy racer"/motor sport enthusiast tried it, any passengers might very well feel it ... If I've got my approx calcs right ... http://perendis.webs.com
0-60 in 20 s is slow even for low grade saloon cars A high power road car can typically achieve 0-60 in <5s an acceleration of 1g takes 2.7s 0-60
have I got my numbers mixed up somewhere ?
No - it's just you comment about 'g-force' You have calculated the FORCE (approx. = 300 kg in weight) - but the mass of the car is 2 tonnes So the acceleration is not high you can see that 1.5 ms^-2 is only 1/6 of 1g
Join our real-time social learning platform and learn together with your friends!