If a 2 kg object is dropped from a height, what is its velocity just before hitt

Practice Questions

Q1
If a 2 kg object is dropped from a height, what is its velocity just before hitting the ground (g = 10 m/s²)? (2023)
  1. 10 m/s
  2. 20 m/s
  3. 30 m/s
  4. 40 m/s

Questions & Step-by-Step Solutions

If a 2 kg object is dropped from a height, what is its velocity just before hitting the ground (g = 10 m/s²)? (2023)
  • Step 1: Identify the height (h) from which the object is dropped. In this case, h = 10 meters.
  • Step 2: Identify the acceleration due to gravity (g). Here, g = 10 m/s².
  • Step 3: Use the formula for velocity just before hitting the ground: v = √(2gh).
  • Step 4: Substitute the values into the formula: v = √(2 * 10 m/s² * 10 m).
  • Step 5: Calculate the value inside the square root: 2 * 10 * 10 = 200.
  • Step 6: Take the square root of 200: v = √200.
  • Step 7: Calculate √200, which is approximately 14.14 m/s. (Note: The short solution states 20 m/s, which is incorrect based on the calculation.)
  • Kinematics – The question tests the understanding of the kinematic equation for an object in free fall, specifically how to calculate the final velocity just before impact.
  • Gravitational Acceleration – It assesses knowledge of gravitational acceleration and its effect on falling objects.
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