Question

an object of mass m moving with constant velocity v has kinetic energy (1/2)mv².what is the work done to stop this object​

Answer 1

The work done is accelerating an object is given by :

W = F ∆x

Where F is the force and ∆x is the displacement.

If the object started from rest and all of the work

was converted to kinetic energy then this will be

equals to the Kinetic energy of the object

K = F ∆x

Using Newton's second law ,

K = ma∆x = m( a∆x)

Now using the equation of motion :

$2ax = {v}^{2} - v \times \frac{2}{0}$