If a 2 kg object is dropped from a height of 5 m, what is its velocity just befo

Practice Questions

Q1
If a 2 kg object is dropped from a height of 5 m, what is its velocity just before it hits the ground? (g = 10 m/s²)
  1. 10 m/s
  2. 5 m/s
  3. 15 m/s
  4. 20 m/s

Questions & Step-by-Step Solutions

If a 2 kg object is dropped from a height of 5 m, what is its velocity just before it hits the ground? (g = 10 m/s²)
  • Step 1: Identify the mass of the object. In this case, the mass is 2 kg, but we will not need it for this calculation.
  • Step 2: Identify the height from which the object is dropped. Here, the height is 5 meters.
  • Step 3: Identify the acceleration due to gravity (g). In this problem, g is given as 10 m/s².
  • Step 4: Use the formula for velocity just before hitting the ground, which is v = sqrt(2gh).
  • Step 5: Substitute the values into the formula: v = sqrt(2 * 10 * 5).
  • Step 6: Calculate the value inside the square root: 2 * 10 * 5 = 100.
  • Step 7: Take the square root of 100 to find v: sqrt(100) = 10 m/s.
  • Step 8: Conclude that the velocity of the object just before it hits the ground is 10 m/s.
  • Energy Conservation – The principle that the total mechanical energy (potential + kinetic) in a closed system remains constant if only conservative forces are acting.
  • Kinematics – The study of motion without considering the forces that cause it, often involving equations that relate displacement, velocity, acceleration, and time.
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