Let's work through Energy — Complete Guide with Examples together. Physics problems become simple when you break them into clear, logical steps. Here's exactly how to approach this one.

Quick Answer

See the step-by-step solution above for the complete answer.

Step-by-Step Solution

Step 1: KE = ½mv²

Step 2: KE = ½ × 2 × 6² = ½ × 2 × 36 = 36 J

Step 3: KE = ½mv²

Step 4: KE = ½ × 2 × 6² = ½ × 2 × 36 = 36 J

Step 5: KE = ½mv²

Step 6: KE = ½ × 4 × 9² = ½ × 4 × 81 = 162 J

Step 7: KE = ½mv²

Step 8: KE = ½ × 6 × 12² = ½ × 6 × 144 = 432 J

Step 9: KE = ½mv²

Step 10: KE = ½ × 8 × 15² = ½ × 8 × 225 = 900 J

Step 11: KE = ½mv²

Step 12: KE = ½ × 10 × 18² = ½ × 10 × 324 = 1620 J

Step 13: KE = ½mv²

Step 14: KE = ½ × 12 × 21² = ½ × 12 × 441 = 2646 J

Step 15: KE = ½mv²

Step 16: KE = ½ × 14 × 24² = ½ × 14 × 576 = 4032 J

Step 17: KE = ½mv²

Step 18: KE = ½ × 16 × 27² = ½ × 16 × 729 = 5832 J

Step 19: KE = ½mv²

Step 20: KE = ½ × 18 × 30² = ½ × 18 × 900 = 8100 J

Step 21: KE = ½mv²

Step 22: KE = ½ × 20 × 33² = ½ × 20 × 1089 = 10890 J

Step 23: KE = ½mv²

Step 24: KE = ½ × 22 × 6² = ½ × 22 × 36 = 396 J

Step 25: KE = ½mv²

Step 26: KE = ½ × 24 × 9² = ½ × 24 × 81 = 972 J

Step 27: KE = ½mv²

Step 28: KE = ½ × 26 × 12² = ½ × 26 × 144 = 1872 J

Step 29: KE = ½mv²

Step 30: KE = ½ × 28 × 15² = ½ × 28 × 225 = 3150 J

Step 31: KE = ½mv²

Step 32: KE = ½ × 30 × 18² = ½ × 30 × 324 = 4860 J

Step 33: KE = ½mv²

Step 34: KE = ½ × 2 × 21² = ½ × 2 × 441 = 441 J

Step 35: KE = ½mv²

Step 36: KE = ½ × 4 × 24² = ½ × 4 × 576 = 1152 J

Step 37: KE = ½mv²

Step 38: KE = ½ × 6 × 27² = ½ × 6 × 729 = 2187 J

Step 39: KE = ½mv²

Step 40: KE = ½ × 8 × 30² = ½ × 8 × 900 = 3600 J

Step 41: KE = ½mv²

Step 42: KE = ½ × 10 × 33² = ½ × 10 × 1089 = 5445 J

Why This Works

This problem applies energy. Understanding the underlying principle lets you solve similar problems with different values confidently.

Common Mistakes to Avoid

❌ Mistake 1: Using the wrong units or forgetting to convert.

❌ Mistake 2: Applying the wrong formula for the given situation.

❌ Mistake 3: Rounding too early in the calculation.

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