Answer to Question #89084 in Mechanics | Relativity for dana

Question

Advances in thrill ride technologies have made electromagnetic slingshots possible instead of using large hills to propel roller coasters. Suppose a 500kg roller coaster is accelerated by a 200 kW electromagnetic motor for 4 seconds, what is its final velocity?

Answer 1

$$E=Pt=\frac{mv^2}{2}$$

$$(200000)(4)=500\frac{v^2}{2}$$

$$v=56.6\frac{m}{s}$$