Question

Stuntman's Freefall, a ride at Six Flags Great Adventure in New Jersey, stands 39.6 meters high. Ignoring the force of friction, what is the minimum power rating of the motor that raises the 1.20×105 kg ride from the ground to the top in 10.0 seconds at a constant velocity?

Answer 1

Power,
`P=4.65* 10^6\ watts`

Step-by-step explanation:

It is given that,

Mass,
`m=1.2* 10^5\ kg`

Height of the free fall, h = 39.6 m

Time taken, t = 10 s

Let P is the power rating of the motor. The energy per unit time is called power delivered to an object. Its formula is given by :

`P=(W)/(t)`

`P=(mgh)/(t)`

`P=(1.2* 10^5\ kg* 9.8\ m/s^2* 39.6\ m)/(10\ s)`

P = 4656960 Watts

`P=4.65* 10^6\ watts`

So, the power rating of the motor is
`4.65* 10^6\ watts`. Hence, this is the required solution.