Final answer:
To find the height of the hill, divide the given gravitational potential energy (10,500 J) by the weight (539 N) to get approximately 19.48 meters.
Step-by-step explanation:
To calculate the height of the hill in a roller coaster scenario using the provided gravitational potential energy (GPE) and weight, we can use the formula for GPE: GPE = weight × height. First, divide the given GPE (10,500 J) by the weight (539 N) to find the height.
Height = GPE / Weight
Height = 10,500 J / 539 N
Height = 19.48 meters (rounded to two decimal places)
Therefore, the height of the hill that the cart is on at the top of the roller coaster is approximately 19.48 meters.