If the force is zero, then the work done will also be zero. If the body does not move due to the applied force, then regardless of how large the force is, work done will be zero.A work done is positive when the direction of the force applied and the direction of the displacement made by the object because of the force applied is the same whereas when the direction of the force applied is opposite to the direction of the displacement made by the object.Mathematically, work done is equal to the dot product of the force applied and the displacement.The work done by the force is defined to be the product of the component of the force in the direction of the displacement and the magnitude of this displacement.The capacity of doing work is considered as Energy. The rate at which work is done can be considered as Power. Any with or without contact push or pull that produces acceleration in the object can be considered as Force.The work-energy principle can be derived from the law of conservation of energy. Work Done = Final Kinetic Energy- Initial Kinetic Energy Mathematically, the work-energy principle can be shown as The work and energy principle states that the change in the kinetic energy of a body is directly proportional to the total work done on the body. d = F d cos, where the angle will be 90 degrees, consequently making W = 0 as the value of cos90 = 0. In this case, the angle between the direction of the force and displacement is 90 degrees, and as we all know that W = F. In a condition, where the direction of the force applied is perpendicular to the direction of the displacement, the work done will come out as zero.Here, the force is zero, so the work done will also be zero. For example, if an ice cube is floating on another slippery surface without any external force being applied. Not only when the displacement is zero, but also, you may come across some situation in which the force applied is zero.If the body does not move due to the applied force, then regardless of how large the force is, work done will be zero. As we have already read before in this article, no displacement means no work done.There are several conditions in which the work done is zero. When does the Work Done correspond to Zero? In that case, the ball is moving upward against the direction of acceleration which is downwards. For example, consider the same ball when thrown in an upward direction. When the direction of the force applied is opposite to the direction of the displacement made by the object. We can notice that the direction of the pull of gravity is the same as the direction in which the ball is falling. Here, the ball is falling because of gravity. For example, consider a ball falling towards the ground. Work done is zero when there is no displacement.Įxamples for Positive and Negative Work Done Positive Work DoneĪ work done is positive when the direction of the force applied and the direction of the displacement made by the object because of the force applied is the same.Work done is said to be negative when the energy is added to the system.Here, the system is making an effort on the surroundings. A work done is positive when the energy leaves the system.Work done can be positive, negative, and zero. We have to make an assumption that the system in which the work is being done is not affecting the surrounding. W = F.s is the mathematical formula for a work done. Substituting the value of v2 -u2 in the equation (1), we get. Work Done DerivationĪs we already know that work done is equal to the change in kinetic energy. Work done is equal to the dot product of the force applied and the displacement. So, mathematically, the formula of the force will be. Consequently, the block moves through a displacement ‘d’, because of the force exerted. Imagine there is a block having mass ‘m’ lying on the floor, and on that particular block, a force ‘F’ is acting horizontally.
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