Comparing calculated energies to 240 J using physics formulas

Steps:

• Option A: ΔGPE = m g h = 60 × 10 × 40 = 24,000 J
• Option B: energy = P t = 160 × 15 = 240 J
• Option C: KE = ½ m v² = ½ × 12 × 20² = 240 J
• Option D: work = P ΔV = 120,000 × 0.5 = 240 J

Why A is correct:

• ΔGPE = m g h yields 24,000 J using g ≈ 10 m s⁻², not 240 J.

Why the others are wrong:

• B equals 240 J by definition of energy transfer E = P t.
• C equals 240 J using kinetic energy formula ½ m v².
• D equals 240 J using work formula for constant pressure W = P ΔV.

Final answer: A