Understanding Gravitational Potential Energy
Gravitational potential energy (GPE) is the energy an object possesses due to its position in a gravitational field. The formula for GPE is:
* GPE = mgh
Where:
* m is the mass (in kg)
* g is the acceleration due to gravity (approximately 9.8 m/s²)
* h is the height (in meters)
Calculations
1. Calculate GPE at 1.50 m:
* GPE₁ = (7.75 kg) * (9.8 m/s²) * (1.50 m) = 114.18 J
2. Calculate GPE at 1.75 m:
* GPE₂ = (7.75 kg) * (9.8 m/s²) * (1.75 m) = 133.44 J
3. Find the difference:
* ΔGPE = GPE₂ - GPE₁ = 133.44 J - 114.18 J = 19.26 J
Answer:
The difference in gravitational potential energy of the book between 1.50 m and 1.75 m above the ground is 19.26 Joules.
