# Chapter-6(Work, Energy and Power) ## Perfectly Inelastic Collision In One Dimension

When the two colliding bodies stick together and move as a single body with a common velocity after the collision, then the collision is perfectly inelastic. Let we consider perfectly inelastic collision between two bodies of masses m₁ and m₂. The body of mass m₂ happens to the initially at rest (u₂ = 0). After … ## Elastic Collision In Two Dimensions (Oblique Collision)

Let two body A and B of masses m₁ and m₂ kept on the x-axis. Initially the object B is at rest and A moves toward B with a speed u₁. If the collision is not head on, the object moves along different lines. Let the object A moves with velocity v₁ making an angle … ## Elastic Collision In One Dimension

In elastic collision involves two bodies moving initially along the same straight line, striking against each other without loss of kinetic energy and continuing to move along the same state line after collision. Let to bodies A and B of masses m and m moving along the same straight line with velocities u₁ and u₂ … ## Conservation Of Linear Momentum In Collision

Let two bodies 1 and 2 collide against each other. They exert mutual impulsive forces on each other during the collision time ∆t. The change produced in momentum of the two bodies will be ∆P₁ = F₁₂∆t and ∆P₂ = F₂₁∆t Where, F₁₂ is force exerted by 2 on 1 and F₂₁ is force exerted … ## Collision

A collision is said to be occur between two or more bodies, either if they physically collide against each other or if the path of one is affected by the force exerted by the other. For collision take place, the actual physical contact is not necessary. In Rutherford’s scattering experiment, α-particle get scattered due to … ## Power

Power of a person or machine is defined as the time rate at which work is done or energy is transferred by it. If a person does work W in time t, then its average power is Instantaneous Power The instantaneous power of an agent is defined as the limiting value of the average power … ## Equivalence Of Mass and Energy

In 1905, Einstein discovered that mass can be converted into energy and energy can be converted into mass. He showed that mass(m) and energy(E) are equivalent and related by the relation- E = mc² Where, m is mass that disappears, E is energy that appears and c is velocity of light. c = 3×10⁸ m/s … ## Various Forms Of Energy

Energy can manifest itself in many forms. Some of these forms are as- (I) Mechanical Energy The sum of Kinetic Energy and Potential Energy is called mechanical energy. Kinetic Energy is due to its motion while Potential Energy is due to its position or configuration. (II) Internal Energy When the molecules of a body vibrate … ## Conservation Of Mechanical Energy In A Freely Falling Body

Let a body of mass m lying at position A at a height h above the ground. As the body falls, its Kinetic Energy increases at the expense of potential energy. At Point A The body is at rest At Point B Let the body falls freely through height x and reaches the point B … ## Conservation Of Mechanical Energy

This principle state that if only the conservative force are doing work on a body, then its total mechanical energy (kinetic energy + potential energy) remains constant. Let a body undergoes displacement ∆x under the action of conservative force F(x), then from work energy theorem, the change in Kinetic Energy is ∆K = F(x).∆x (I) …

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