Question #aa52c

1 Answer
Nov 22, 2017

The expression for translational kinetic energy (in 1 dimension),

#T = (mdotx^2)/2#

Thus, #(dT)/(dt) = d/(dx)(mdotx^2)/2#
#implies (dT)/(dt) = mddotx#
#implies (dT)/(dt) = F# where #F = mddotx# is the force.

Therefore, #(dT)/(dt) = F#