SCI 1- Numericals (for Bachankar)
a) Average speed calculation Given: Distance covered in first 3 s: 18 m Distance covered in next 3 s: 22 m Distance covered in last 3 s: 14 m Step 1: Total distance Total distance = 18 + 22 + 14 = 54 m Step 2: Total time Total time = 3 + 3 + 3 = 9 s Step 3: Average speed formula Average speed = Total distance / Total time Average speed = 54 / 9 = 6 m/s ✅ b) Force and acceleration calculation Given: Mass of first object, m₁ = 16 kg Acceleration of first object, a₁ = 3 m/s² Step 1: Force formula Force, F = mass × acceleration F = 16 × 3 = 48 N ✅ Step 2: Acceleration on second object Mass of second object, m₂ = 24 kg Using F = m × a ⇒ a = F / m a₂ = 48 / 24 = 2 m/s² ✅ c) Velocity after collision (inelastic collision) Given: Mass of bullet, m₁ = 10 g = 0.01 kg Velocity of bullet, v₁ = 1.5 m/s Mass of plank, m₂ = 900 g = 0.9 kg Plank initially at rest ⇒ v₂ = 0 Step 1: Using law of conservation of momentum m₁v₁ + m₂v₂ = (m₁ + m₂) v 0.01 × 1.5 + 0....