A 10 kg object falls from a height of 20 m. What is its speed just before it hit

Practice Questions

Q1
A 10 kg object falls from a height of 20 m. What is its speed just before it hits the ground?
  1. 10 m/s
  2. 14 m/s
  3. 20 m/s
  4. 28 m/s

Questions & Step-by-Step Solutions

A 10 kg object falls from a height of 20 m. What is its speed just before it hits the ground?
  • Step 1: Identify the height from which the object falls. In this case, it is 20 meters.
  • Step 2: Identify the acceleration due to gravity, which is approximately 9.8 m/s².
  • Step 3: Use the formula for speed just before hitting the ground, which is v = √(2gh).
  • Step 4: Substitute the values into the formula: v = √(2 * 9.8 * 20).
  • Step 5: Calculate the value inside the square root: 2 * 9.8 * 20 = 392.
  • Step 6: Take the square root of 392 to find the speed: v = √392.
  • Step 7: Calculate √392, which is approximately 19.8 m/s, rounded to 20 m/s.
  • Conservation of Energy – The principle that the total energy in a closed system remains constant; in this case, potential energy is converted to kinetic energy as the object falls.
  • Kinematics – The study of motion, specifically how the speed of an object changes as it falls under the influence of gravity.
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