If a 10 kg object is dropped from a height of 20 m, what is the velocity just be

Practice Questions

Q1
If a 10 kg object is dropped from a height of 20 m, what is the velocity just before it hits the ground? (Assume g = 10 m/s²) (2019)
  1. 10 m/s
  2. 20 m/s
  3. 14 m/s
  4. 15 m/s

Questions & Step-by-Step Solutions

If a 10 kg object is dropped from a height of 20 m, what is the velocity just before it hits the ground? (Assume g = 10 m/s²) (2019)
  • Step 1: Identify the initial velocity (u) of the object. Since the object is dropped, u = 0 m/s.
  • Step 2: Identify the acceleration due to gravity (g). We are given g = 10 m/s².
  • Step 3: Identify the height (h) from which the object is dropped. Here, h = 20 m.
  • Step 4: Use the formula v² = u² + 2gh to find the final velocity (v) just before the object hits the ground.
  • Step 5: Substitute the values into the formula: v² = 0 + 2 × 10 m/s² × 20 m.
  • Step 6: Calculate the right side: 2 × 10 × 20 = 400.
  • Step 7: Now, v² = 400, so take the square root of both sides to find v: v = √400.
  • Step 8: Calculate the square root: v = 20 m/s.
  • Kinematics – The question tests the understanding of kinematic equations, specifically the relationship between initial velocity, final velocity, acceleration, and displacement.
  • Gravitational Acceleration – It assesses the knowledge of gravitational acceleration and its effect on falling objects.
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