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Attempts 127

What is the kinetic energy of a 500 kg wagon moving at 10 m/s?

  1. A
    50 J
  2. B
    250 J
  3. C
    2.5 × 10⁴ J
  4. D
    5.0 × 10⁵ J

Topic Flashcards

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Question

What is the formula for calculating the kinetic energy (KE) of a moving object? Define each variable.

Answer

KE = ½ * m * v², where m is mass (kg) and v is velocity (m/s).

Question

Calculate the kinetic energy of a 2000 kg car moving at 10 m/s. How does it compare to the 500 kg wagon at the same speed?

Answer

KE = ½ * 2000 kg * (10 m/s)² = ½ * 2000 * 100 = 100,000 J or 1.0 × 10⁵ J. It has four times the KE of the wagon (25,000 J) because the mass is four times greater.

Question

In the kinetic energy formula, which has a greater effect on the energy: doubling the mass or doubling the velocity? Prove it with a calculation.

Answer

Doubling the velocity has a greater effect. Doubling mass doubles KE. Doubling velocity quadruples KE (since KE ∝ v²). Example: For the wagon (500 kg, 10 m/s), KE = 25,000 J. Double mass (1000 kg): KE = 50,000 J (doubled). Double velocity (20 m/s): KE = ½ * 500 * (20)² = 100,000 J (quadrupled).

Question

What would the kinetic energy of the 500 kg wagon be if its speed were reduced to 5 m/s?

Answer

KE = ½ * 500 kg * (5 m/s)² = ½ * 500 * 25 = 6,250 J or 6.25 × 10³ J.

Question

The kinetic energy of the wagon is 2.5 × 10⁴ J. Express this value in kilojoules (kJ).

Answer

1 kJ = 1000 J, so 25,000 J = 25 kJ.

Mini Quiz

1 / 3
If the mass of the wagon is halved to 250 kg but its speed remains 10 m/s, is the new kinetic energy 12,500 J?

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