What is the kinetic energy of a 3 kg object moving at 6 m/s?

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Multiple Choice

What is the kinetic energy of a 3 kg object moving at 6 m/s?

Explanation:
Kinetic energy depends on how much energy an object has because of its motion, and it’s calculated with KE = 1/2 m v^2. For a mass of 3 kg moving at 6 m/s, first square the speed: v^2 = 6^2 = 36. Then multiply by the mass and by 1/2: KE = 1/2 × 3 × 36 = 1.5 × 36 = 54 joules. That 54 J value reflects both the mass and the speed, with the 1/2 factor and the velocity squared both crucial. Using the velocity without squaring or dropping the 1/2 would give different results (e.g., 108 J from m v^2, or 27 J from incorrectly applying the factor), but the correct calculation yields 54 joules.

Kinetic energy depends on how much energy an object has because of its motion, and it’s calculated with KE = 1/2 m v^2.

For a mass of 3 kg moving at 6 m/s, first square the speed: v^2 = 6^2 = 36. Then multiply by the mass and by 1/2: KE = 1/2 × 3 × 36 = 1.5 × 36 = 54 joules.

That 54 J value reflects both the mass and the speed, with the 1/2 factor and the velocity squared both crucial. Using the velocity without squaring or dropping the 1/2 would give different results (e.g., 108 J from m v^2, or 27 J from incorrectly applying the factor), but the correct calculation yields 54 joules.

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