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So there are a bunch of assignments in physics built on the conservation of momentum law where a bullet of some mass, hits a target of some mass, neglecting friction find the velocity at which the target starts moving. That is all very simple in case of an inelastic collision, all the energy of the bullet is transformed to the target+bullet mass, but what happens when it's a real scenario?

Assuming we know the mass of the bullet

At last the bullet hits the target at a velocity of

The bullet hits the sphere and bounces back,there is likely a dent in the sphere and the bullet is deformed, therefore some of the kinetic energy is transformed into mechanical energy and heat. Since the bullet bounces back I would assume it has something to do with Hooke's law, where the surface of the sphere is acting like a spring. How much energy is consumed by deformation and the spring? Is there a way to know how much of the energy the sphere "gets to use"? To what extent can we use the conservation of momentum in this scenario? What are all the elements we have to consider?

Assuming we know the mass of the bullet

**m**and the power behind the rifle - the bullet gains an initial velocity of_{b}**v**. The target is, say, a metal sphere of mass_{initial}**m**at a distance of 200m - How do we calculate the aerial friction that slows down the bullet, assuming there is no wind to considerably change its direction?_{s}At last the bullet hits the target at a velocity of

**v**. How much energy does the sphere exactly gain?_{final}The bullet hits the sphere and bounces back,there is likely a dent in the sphere and the bullet is deformed, therefore some of the kinetic energy is transformed into mechanical energy and heat. Since the bullet bounces back I would assume it has something to do with Hooke's law, where the surface of the sphere is acting like a spring. How much energy is consumed by deformation and the spring? Is there a way to know how much of the energy the sphere "gets to use"? To what extent can we use the conservation of momentum in this scenario? What are all the elements we have to consider?

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