Energy types: When a ball is in motion, it possesses kinetic energy. As the ball rolls up a ramp, it slows down and gains height.
Energy conversion: As the ball ascends the ramp, its kinetic energy decreases because the ball is slowing down. Simultaneously, its gravitational potential energy increases because it is gaining height.
Conservation of energy: The total mechanical energy (kinetic + potential) remains constant if we neglect friction. The decrease in kinetic energy is exactly balanced by the increase in gravitational potential energy.
Conclusion: The appropriate energy conversion in this scenario is the transformation of kinetic energy into gravitational potential energy.
References: Integrated Physical Sciences textbooks on mechanics and energy conservation, principles of kinetic and potential energy.
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