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This guide explores the relationship between work and kinetic energy. When work is performed on an object, it transfers energy, leading to kinetic energy gain (ΔEk). The fundamental formula connecting work (W), force (F), displacement (d), and kinetic energy (Ek) is presented: W = Fd = ΔEk. We examine specific scenarios, including objects starting from rest and those already in motion, articulating that the work done correlates to the total or change in kinetic energy, respectively. Further examples and problems are provided for practical understanding.
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When work is done on an object, it may give it kinetic energy.
In general, work done = Fd = energy transferred = Ek gained by object = Ek Or KE
A formula for Ek Since W = Fd and F = ma then W=mad • Recall Vf2=Vi2+2ad • If object is at rest then
Summary: • If an object starts at rest, the work done is the total Ek of the object.
Summary: • If an object is already moving, the work done is the change in Ek of the object.
Sample Problems • Click here