Final answer:
The mass of the object with 225 J of gravitational potential energy on a 0.89 m tall desk is approximately 25.79 kg, calculated using the gravitational potential energy formula G.P.E. = mgh.
Step-by-step explanation:
To determine the mass of an object based on its gravitational potential energy (GPE) and height from the ground, you can use the formula G.P.E. = mgh, where m is the mass in kilograms, g is the acceleration due to gravity (approximately 9.8 m/s² on Earth), and h is the height in meters.
Given that the object has a gravitational potential energy of 225 J and is sitting on a 0.89 m tall desk, the equation to find the mass m is 225 J = m * 9.8 m/s² * 0.89 m.
Dividing both sides of the equation by the product of 9.8 m/s² and 0.89 m, we get:
m = 225 J / (9.8 m/s² * 0.89 m)
= 225 J / 8.722 m²/s²
= 25.79 kg
Therefore, the mass of the object is approximately 25.79 kg.