A bullet weighing 10 g and moving at 300 ms^-1 strikes a 5 kg block of ice and drops dead. Th

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A bullet weighing 10 g and moving at 300 ms^-1 strikes a 5...

A bullet weighing $10 \mathrm{~g}$ and moving at $300 \mathrm{~ms}^{-1}$ strikes a $5 \mathrm{~kg}$ block of ice and drops dead. The ice block is sitting on frictionless level surface. The speed of the block, after the collision is (a) $60 \mathrm{~ms}^{-1}$ (b) $160 \mathrm{~ms}^{-1}$ (c) $16 \mathrm{~ms}^{-1}$ (d) $6 \mathrm{~ms}^{-1}$

A bullet weighing $10 \mathrm{~g}$ and moving at $300 \mathrm{~ms}^{-1}$ strikes a $5 \mathrm{~kg}$ block of ice and drops dead. The ice block is sitting on frictionless level surface. The speed of the block, after the collision is
(a) $60 \mathrm{~ms}^{-1}$
(b) $160 \mathrm{~ms}^{-1}$
(c) $16 \mathrm{~ms}^{-1}$
(d) $6 \mathrm{~ms}^{-1}$

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Key Concepts

Conservation of Momentum

This principle asserts that the total linear momentum of a closed, isolated system remains constant during a collision, regardless of the type of collision. It is fundamental in solving problems where the momentum before an event equals the momentum after, and it provides the basis for calculating final speeds in collision scenarios.

Inelastic Collision

In an inelastic collision, the colliding objects stick together after impact, meaning kinetic energy is not conserved even though momentum is. This concept is crucial when analyzing cases where a projectile embeds in another object, as the combined mass moves with a common velocity determined by the conservation of momentum.

Unit Conversion in Physics

Consistent units are essential for accurate calculations in physics. Converting quantities such as mass from grams to kilograms ensures that momentum and other derived quantities are computed correctly, aligning with the SI unit system for coherent mathematical operations.

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