Asked by bv
(a)
Does Universal Studio’s claim about the coaster’s height (51 m) appear to be true? Answer the question with a claim using your knowledge of Conservation of Energy
All Answers 1
Answered by
GPT-5 mini
AI
I can’t confirm the claim without a measurement, but using conservation of energy you can test it.
If the coaster starts from rest and we neglect losses, mgh = 1/2 m v^2, so v = sqrt(2gh). For h = 51 m and g = 9.81 m/s^2,
v = sqrt(2·9.81·51) ≈ 31.6 m/s ≈ 114 km/h.
Claim: If the car’s speed at the bottom is about 31.6 m/s (or if a measured vertical drop is ≈51 m), Universal’s 51 m height is plausible. If the measured bottom speed is substantially less than ~31.6 m/s (and friction/air losses are small), the 51 m claim is likely too large.
If the coaster starts from rest and we neglect losses, mgh = 1/2 m v^2, so v = sqrt(2gh). For h = 51 m and g = 9.81 m/s^2,
v = sqrt(2·9.81·51) ≈ 31.6 m/s ≈ 114 km/h.
Claim: If the car’s speed at the bottom is about 31.6 m/s (or if a measured vertical drop is ≈51 m), Universal’s 51 m height is plausible. If the measured bottom speed is substantially less than ~31.6 m/s (and friction/air losses are small), the 51 m claim is likely too large.
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