Kinetic energy proportional to speed squared

Steps:

• Kinetic energy formula: KE = (1/2) m v².
• From initial: 1500 = (1/2) m (10)² → m = 30 kg.
• New speed: 40 m/s.
• New KE = (1/2)(30)(40)² = 15 × 1600 = 24000 J.

Why C is correct:

• KE scales with v²; speed quadruples (40/10=4), so KE multiplies by 16: 1500 × 16 = 24000 J.

Why the others are wrong:

• A: Assumes tripling KE, ignores quadratic scaling.
• B: Assumes linear scaling (4×1500=6000), not v².
• D: Assumes 10× scaling, incorrect multiplier.

Final answer: C