A projectile (mass =0.20 kg ) is fired at and embeds itself in a stationary target (mass =2.50 k

step 1 We have given projectile mass is 0 .20 KG and target mass is 2 .5 KG. So here we will use conser

A projectile (mass =0.20 kg ) is fired at and embeds itself...

A projectile (mass $=0.20 \mathrm{kg}$ ) is fired at and embeds itself in a stationary target (mass $=2.50 \mathrm{kg}$ ). With what percentage of the projectile's incident kinetic energy does the target (with the projectile in it) fly off after being struck?

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Key Concepts

Conservation of Momentum

In any collision occurring in an isolated system with negligible external forces, the total momentum of the system remains constant. This principle allows us to equate the momentum before the collision with the momentum immediately after, regardless of whether the collision is elastic or inelastic.

Inelastic Collisions

An inelastic collision is one in which the colliding objects stick together after impact. Although momentum is conserved in these types of collisions, some of the kinetic energy is transformed into other forms of energy, such as heat or sound, meaning kinetic energy is not conserved.

Kinetic Energy Analysis

Kinetic energy, calculated as one half of the mass times the square of the velocity, is an important concept in collision problems. In inelastic collisions, comparing the initial kinetic energy of a projectile to the final kinetic energy of the combined masses provides insight into the efficiency of energy transfer and highlights the energy lost during the collision process.

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