Final answer:
To find the mass of an object hanging 12.6 m above the surface of the earth is approximately 22.04 kg.
Step-by-step explanation:
The mass of an object can be determined using the formula for gravitational potential energy (G.P.E). G.P.E. is calculated using the formula G.P.E. = mgh, where m is the mass in kg, g is the acceleration due to gravity which is approximately 10 m/s², and h is the height in meters.
To find the mass, rearrange the formula to: m = G.P.E. / (g * h).
Substituting the given values into the formula, we have m = 2778.3 J / (10 m/s² * 12.6 m). Solving this equation gives us the mass of the object.
Calculating the mass, m
= 2778.3 J / (10 m/s² * 12.6 m)
m ≈ 22.04 kg