A ball is dropped from rest from point 1, and by the time it reaches point 2, it has gained 2 J of kinetic energy. As it continues its fall from point 2 to point 3, its kinetic energy increases by another 6 J.What is the ball's change in gravitational potential energy as it falls from point 1 to point 3?A an increase of about 6 JB an increase of about 8 JC a decrease of about 6 JD a decrease of about 8 J
Question
A ball is dropped from rest from point 1, and by the time it reaches point 2, it has gained 2 J of kinetic energy. As it continues its fall from point 2 to point 3, its kinetic energy increases by another 6 J.What is the ball's change in gravitational potential energy as it falls from point 1 to point 3?A an increase of about 6 JB an increase of about 8 JC a decrease of about 6 JD a decrease of about 8 J
Solution
The ball's change in gravitational potential energy as it falls from point 1 to point 3 is a decrease of about 8 J. This is because the ball gains kinetic energy as it falls, which must be balanced by a loss in potential energy according to the law of conservation of energy. The total gain in kinetic energy from point 1 to point 3 is 2 J + 6 J = 8 J, so the change in potential energy is -8 J. Therefore, the correct answer is D, a decrease of about 8 J.
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