Question

answer the question.!!!! ​

Answer 1

Given:-

• Mass of object = 10kg

• Mass of three Pieces = 2kg

• Velocity of 3 Piece = 3.0m/s

To Find:-

• The magnitude of the Velocity of the remaining Piece.

Formulae used:-

• Conservation of Momentum

Now,

• → We know that the total mass if object is 10kg so and mass of 3 Pieces is 2kg so mass of 4th Piece would be (10 - 6) → 4kg.

Therefore,

• Initially the Object was at rest.

So,

• → Total Momenta before exploding = Total Momenta after exploding.

• → 0 = m¹v¹ + m²v² + m³v³ + m⁴v⁴

• → 0 = ( m¹ + m² + m³ ) v + m⁴v⁴

• → 0 = ( 2 + 2 + 2)3 + m⁴v⁴

• → 0 = (6)3 + m⁴v⁴

• → 0 = 18 + m⁴v⁴

• → -18 = 4 × v⁴

• → v⁴ = -18/4

• → v⁴ = -4.5m/s

Hence, Option "D" is correct.