27.A bullet with mass m, is fired with a velocity v; to a hanging targetmade of wood with mass m, and got stuck inside it but is able tobring the wood target at a height h. Derive an expression for the finalvelocity of the bullet.

This question is based on the conservation of linear momentum.

A bullet with mass m, is fired with a velocity v to a hanging target made of wood with mass mw and got stuck inside it but is able to bring the wood target at a height h. Derive an expression for the final velocity of the bullet.

A bullet with mass m, is fired with a velocity v to a hanging target made of wood with mass mw and got stuck inside it but is able to bring the wood target at a height h. Derive an expression for the final velocity of the bullet.

Classical Dynamics of Particles and Systems

5th Edition

ISBN:9780534408961

Author:Stephen T. Thornton, Jerry B. Marion

Publisher:Stephen T. Thornton, Jerry B. Marion

Chapter9: Dynamics Of A System Of Particles

Section: Chapter Questions

Problem 9.34P

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Concept explainers

Spring Potential Energy

The potential energy is the energy possessed by a body by virtue of its position or the energy held by the object due to its position relative to other objects, its force like stresses, charge, and other factors affecting the particles of the body. The potential energy is the measure of the net work done by or on the body. The spring potential energy is the potential energy stored due to the deformation of an elastic spring and this elasticity is due to the stretched spring. The elasticity is the ability of a solid-state matter to come back to its equilibrium position or original position after any kind of external force is acted on it. It is also known as Elastic potential energy. The potential energy here is caused due to the displacement of the spring from its equilibrium position to another position and this potential energy is equal to the net work done due to the stretching of the spring. It also resembles the same mechanics of the oscillation of a simple pendulum, where due to the external force, the object moves from its equilibrium position to its maximum ends and the periodic motion continues till it comes back to the equilibrium position to rest. 

Question

27.
A bullet with mass m, is fired with a velocity v; to a hanging target
made of wood with mass m, and got stuck inside it but is able to
bring the wood target at a height h. Derive an expression for the final
velocity of the bullet.

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