A 10 kg object is moving with a speed of 5 m/s. What is its total mechanical ene

Practice Questions

Q1
A 10 kg object is moving with a speed of 5 m/s. What is its total mechanical energy?
  1. 125 J
  2. 250 J
  3. 500 J
  4. 1000 J

Questions & Step-by-Step Solutions

A 10 kg object is moving with a speed of 5 m/s. What is its total mechanical energy?
  • Step 1: Identify the mass of the object. The mass is 10 kg.
  • Step 2: Identify the speed of the object. The speed is 5 m/s.
  • Step 3: Use the formula for kinetic energy (KE), which is KE = 0.5 * mass * speed².
  • Step 4: Plug in the values into the formula: KE = 0.5 * 10 kg * (5 m/s)².
  • Step 5: Calculate (5 m/s)², which is 25 m²/s².
  • Step 6: Multiply 10 kg by 25 m²/s² to get 250 kg*m²/s².
  • Step 7: Multiply 250 kg*m²/s² by 0.5 to get 125 J (joules).
  • Step 8: Assume potential energy (PE) is 0, since it is not given.
  • Step 9: Add kinetic energy (KE) and potential energy (PE) to find total mechanical energy: Total Energy = KE + PE = 125 J + 0 J.
  • Step 10: Conclude that the total mechanical energy is 125 J.
  • Kinetic Energy (KE) – The energy possessed by an object due to its motion, calculated using the formula KE = 0.5 * m * v².
  • Potential Energy (PE) – The energy stored in an object due to its position or configuration, often considered zero in problems where height is not given.
  • Total Mechanical Energy – The sum of kinetic and potential energy in a system, representing the total energy available for work.
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