Answer to Question #193157 in Quantum Mechanics for Bella

Question

In the amusement park ride Mr. Freeze at Six Flags, riders are uniformly accelerated from rest by magnetic induction motors along a 70 meter horizontal track in just 5 seconds. While accelerating, friction and air drag exert 500N of force on the train. The train then coasts through the loops and turns for the remainder of the ride. A typical train loaded with passengers has a mass of 2500 kg.

Answer 1

Displacement, $s=70\space m$

Time, $t=5\space s$

Initial velocity, $u=0$

$s=ut+\dfrac{1}{2}at^2$

$70=\dfrac{1}{2}(a\times25)$

$a=\dfrac{140}{25}=5.6\space m/s^2$

Resisting forces $=500\space N$

Resultant force in forward direction, $F'=ma-Resisting \space \space forces$

$F'=(2500\times5.6)-500$

$F'=13500\space N$