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A particle of mass m is moving in a st...

A particle of mass m is moving in a stright line , If x is the distance travelled by the particle then its velocity is given as v = `alpha x ` , here `alpha` is a constant . Calculate work done by all the forces acting on the body when particle is displaced from x = 0 to x = d .

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To solve the problem, we will use the work-energy theorem, which states that the net work done on a particle is equal to the change in its kinetic energy. Here are the steps to find the work done by all the forces acting on the particle as it moves from \( x = 0 \) to \( x = d \). ### Step 1: Understand the given information The velocity \( v \) of the particle is given by the equation: \[ v = \alpha x \] where \( \alpha \) is a constant and \( x \) is the distance travelled by the particle. ...
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