13. The gravity exerted by Planet X is less than the gravity exerted by Planet Y. If a ball were launched upwards on each planet with the same amount of net force, what would the difference be in the acceleration of the ball?
Answer: A
It will initially accelerate more on Planet X.
A ball launched upwards with the same net force on Planet X, where gravity is less than on Planet Y, will experience a greater initial acceleration on Planet X. This is due to the inverse relationship between gravitational force and acceleration; with less gravity, the same force results in greater acceleration.
A) It will initially accelerate more on Planet X.
This option is correct because the force acting on the ball is the same in both scenarios, but the lesser gravitational force on Planet X means that the ball will experience a greater net acceleration upwards compared to when it is on Planet Y.
B) It will remain still in both cases.
This option is incorrect as it suggests that the ball does not move at all, which contradicts the premise that a net force is being applied. Since a force is acting on the ball, it will not remain still regardless of the planet's gravitational pull.
C) It will accelerate the same amount on Planet Y and on Planet X.
This option is incorrect because the difference in gravitational force between the two planets means that the acceleration cannot be the same. The net force divided by the mass of the ball will yield different accelerations on each planet due to the differing gravitational forces.
D) It will initially accelerate more on Planet Y.
This option is incorrect, as it overlooks the fact that the lesser gravity on Planet X allows for a greater initial acceleration. On Planet Y, the stronger gravitational force would result in less acceleration for the same applied net force.
Conclusion
The correct answer is A, as it accurately reflects the physics of motion under varying gravitational forces. The other options fail because they either misunderstand the relationship between force, mass, and acceleration or incorrectly assert that the gravitational effects would not alter the ball's movement. Therefore, the context of gravitational differences directly leads to the conclusion that Planet X allows for a greater initial acceleration of the ball.