Work and Kinetic Energy

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Physics Newtonian Mechanics Work and Kinetic Energy

	Work and Kinetic Energy in Rotational Motion:
	The rotational kinetic energy (Er) of an object is given as the sum of the kinetic energies of its moving parts: Here ω is the angular velocity of the object, r is the radius and it is worth noting that the mass is treated as variable and gives the moment of inertia (I) of the rigid body. Thus, the system has a torque (τ) associated with the body and the corresponding expressions of work W in pure rotation (one dimensional rotational motion) is given by : ⅆW = τⅆθ  W =∫τⅆθ Kinetic Energy in Collisions: A collision is a phenomenon where tow objects collide with each other in any possible manner. The collision between two objects can be either elastic or inelastic. An inelastic collision is a collision in which some of the kinetic energy of the colliding bodies is converted into internal energy though as the momentum of the system is conserved. However, in an elastic collision the total kinetic energy of the colliding bodies in conserved along with the linear momentum. The total kinetic energy conservation in case of elastic collision between two particles of masses m1 and m2 moving with velocities v₁ and v₂ respectively is given by,