Final answer:
Graph representing the change in gravitational potential energy as a ball is lifted would show a linear increase in GPE, indicating a constant force being applied through the lift.
Step-by-step explanation:
The gravitational potential energy (GPE) of an object is the energy that it has due to its position in a gravitational field. The GPE of an object can be calculated using the formula PEg = mgh, where m is the mass of the object, g is the acceleration due to gravity (approximately 9.8 m/s² on Earth), and h is the height above the reference point. In the case of a 50 N ball lifted to a height of 1 meter, the GPE would be 50 N × 1 m = 50 Joules. This energy is associated with the state of separation between the ball and the Earth due to the gravitational attraction.
A graph representing the change in gravitational potential energy as the ball is lifted would show a linear increase from 0 to 50 Joules as the height increases from 0 to 1 meter. This linear relationship reflects the constant force of gravity acting on the ball as it is lifted, with energy being stored at a constant rate as the ball is lifted higher in the gravitational field.