From the work-energy theorem: −F⋅ s = − 1/2mv² Solving for the retarding force (F): F= 21 ⋅ smv²/s This gives the magnitude of the retarding force needed to stop the object over the displacement s.
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The initial kinetic energy (KEi) of the object is given by the formula: KEi = 1/2 mv² where m is the mass of the object and v is its initial velocity.
It illustrates that when force and displacement are in the same direction, positive work is done, emphasizing the direct relationship between force applied and resulting displacement.
In such situations, the work done by the force is taken as positive.
The work done is equal to the product of the force and displacement.
The baby has exerted a force in the direction of displacement of the car.
The situation involves a baby pulling a toy car parallel to the ground.
For work to be done on an object, two conditions must be satisfied: 1. A force must be applied to the object. 2. The object must be displaced in the direction of the force.
Both conditions are met: a force is applied, and the book is displaced upwards.
When the displacement of the object is zero, the work done is also zero, regardless of the force applied. Mathematically, W = F . s, and if s = 0, then W = F . 0 = 0 joules.