Final answer:
The kinetic energy of the rollercoaster full of people with a mass of 1200 kg and a velocity of 16 m/s is 153,600 J, calculated using the formula KE = 0.5 × m × v^2. There seems to be an error as this result does not match any of the provided choices.
Step-by-step explanation:
You are visiting Six Flags Over Texas and are riding the latest rollercoaster. The coaster, full of people with a mass of 1200 kg, travels 16 m/s down the first hill. To calculate the kinetic energy (KE) the coaster has, you can use the kinetic energy formula KE = 0.5 × m × v2, where m is the mass of the object and v is the velocity.
Plugging in the given values:
KE = 0.5 × 1200 kg × (16 m/s)2
KE = 0.5 × 1200 kg × 256 m2/s2
KE = 600 kg × 256 m2/s2
KE = 153,600 J
The kinetic energy of the coaster is then 153,600 J, which is not an answer choice provided.