A roller coaster car is at the highest point of its track and is about to descend. If the mass of the car and its passengers is doubled while keeping the height and gravity constant, what will be the gravitational potential energy at the top compared to the original scenario?
Gravitational potential energy will double.
The gravitational potential energy of an object is given by the formula U = m × g × h, where m is the mass, g is the acceleration due to gravity, and h is the height above the reference level.
Here, g and h are kept constant, so U is directly proportional to the mass m. If the mass is doubled (m → 2m), the new potential energy becomes U' = (2m) × g × h = 2 × (mgh) = 2U.
Therefore, the gravitational potential energy at the top will become twice the original value.
Hence, the correct answer is Gravitational potential energy will double.
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