Blocks of masses , are arranged in a line on a frictionless floor. Another block of mass , moving with speed along the same line (see figure) collides with mass m in perfectly inelastic manner. All the subsequent collisions are also perfectly inelastic. By the time the last block of mass starts moving the total energy loss is of the original energy. Value of ‘ is close to:
Step 1: Given data
Masses of five blocks are
Step 2: Calculating final velocity
All the collisions are perfectly inelastic, so after the final collision, all blocks are moving together.
Let the final velocity will be .
Total mass after the collision
From the conservation of momentum
Step 3: Finding the value of
Initial energy,
Final energy,
Therefore, 94% of energy is lost by the time the last block of mass starts moving.
Hence, the correct option is .