Question

The Top Thrill Dragster stratacoaster at Cedar Point Amusement Park in Ohio uses a
hydraulic launching system to accelerate riders from 0 to 54 m/s (120 mi/hr) in 3.8
seconds before climbing a completely vertical 420-foot hill . Determine the net force
required to accelerate an 86-kg man.

Answer 1

Given info : The Top Thrill Dragster stratacoaster at Cedar Point Amusement Park in Ohio uses a hydraulic launching system to accelerate riders from 0 to 54 m/s (120 mi/hr) in 3.8 seconds before climbing a completely vertical 420-foot hill.

To find : the net force required to accelerate an 86 kg man.

solution : a/c to question,

hydraulic launching system accelerates riders from 0 to 54 m/s in 3.8 seconds.

so, acceleration of hydraulic launching system, a = (v - u)/t

= (54 - 0)/3.8

= 14.21 m/s²

now Newton's law, F = ma

= 86 kg × 14.21 m/s²

= 1222.06 N ≈ 1222 N

Therefore the net force required to accelerate an 86 kg man is 1222 N.

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