Final answer:
The mass of an object with a GPE of 23.4 J that is dropped from a height of 903 m is approximately 2.59 grams. This calculation assumes the standard acceleration due to gravity is 10 m/s² for simplification.
Step-by-step explanation:
The question asks for the mass of an object when its gravitational potential energy (GPE) and the height it is dropped from are known. According to the formula for gravitational potential energy G.P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (approximately 10 m/s² for simplification, though the actual value is 9.8 m/s²), and h is the height in meters.
Using the given GPE of 23.4 J and a height of 903 m, we can rearrange the equation to solve for mass (m): m = G.P.E. / (g·h). Substituting the given values and using 10 m/s² for g, the mass m = 23.4 J / (10 m/s² · 903 m) results in approximately 0.00259 kg or 2.59 grams,