- #1
IAmPat
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Homework Statement
Stuntman's Freefall, a ride at Six Flags Great Adventure in NewJersey, stands 39.6 meters high. Ignoring the force of friction, what is the minimum power rating of the motor that raises the 1.20×105kg ride from the ground to the top in 10.0 seconds at a constant velocity?
Homework Equations
Constant Velocity = 39.6 / 10 = 3.96m/s
1.20×105 = 120000.0 kg
The Attempt at a Solution
I've tried it two ways now, but clearly neither of them worked.
First way:
[tex]\Delta[/tex]KE = [tex]\frac{1}{2}[/tex] * (1.20×105) * (3.96)2
[tex]\Delta[/tex]KE = 940,896
W = [tex]\Delta[/tex]KE
W = 940,896
P = [tex]\frac{W}{t}[/tex]
P = [tex]\frac{940896}{10}[/tex]
P = 94089.6 watts
This was wrong... so I tried this way
2nd way:
Velocity = 3.96m/s
Acceleration = .396m/s2
[tex]\sum[/tex]Fy = (1.20×105) * .396m/s2
[tex]\sum[/tex]Fy = 47,520
W = F * [tex]\Delta[/tex]y
W = 47250 * 39.6
W = 1,881, 792
P = [tex]\frac{W}{t}[/tex]
P = [tex]\frac{1881792}{10}[/tex]
P = 188179.2 wattsRan out of ideas. What am I missing here?