Height from Gravitational Potential Energy

Steps:

• Gravitational potential energy (GPE) = weight × height, so height = GPE / weight.
• For A: height = 1320 J / 700 N ≈ 1.89 m.
• For B: height = 1670 J / 800 N = 2.09 m.
• For C and D: height = 1800 J / 900 N = 2.00 m.

Why B is correct:

• B has the greatest height (2.09 m) using GPE = mgh, where height h = GPE / weight (since weight = mg).

Why the others are wrong:

• A yields lower height (1.89 m) due to smaller GPE relative to weight.
• C yields lower height (2.00 m) than B.
• D is identical to C, yielding the same lower height (2.00 m).

Final answer: B