Final answer:
The book is 25.25 meters from the floor, calculated by dividing the potential energy (202 Joules) by the weight of the book (8 Newtons).
Step-by-step explanation:
The distance a book is from the floor if it contains 202 Joules of potential energy and has a weight of 8 N can be calculated using the formula for gravitational potential energy (PE = mgh, where m is mass, g is gravitational acceleration, and h is height). To find the height (h), we rearrange the formula to h = PE / (mg). Since weight (W) is the force due to gravity on an object, we have W = mg, thus h = PE / W. Plugging in the given values, we get h = 202 J / 8 N which simplifies to h = 25.25 meters.