Question

derivation Of kinetic energy

Answer 1

Answer:

Derivation Of Kinetic Energy. Kinetic energy of a body is the energy that it possessed due to its motion. Kinetic energy can be defined as the work needed to accelerate an object of a given mass from rest to its stated velocity. ... the kinetic energy formula derivation can be done using algebra and calculus.

Answer 2

Explanation:

AS WORK DONE = F.dx where F is force and dx is small displacement,,,,,(infinitesimal)

so, as F = m dv/dt at constant mass.. .

so F.x becomes = m (dv/dt).dx

= m (dx/dt).dv ( interchanging dv and dx in the above bracket)

= m .v.dv, as dx/dt = velocity =v.

by integrating with limits 0 to velocity V . we get,,

....

$\frac{1}{2} m{v}^{2}$

hence proved....