$[$Square double$-$threaded power screw with pitch of p$=4$ mmandd$=38$ mm$,$given. The nut traveling at v$=51$mm$/$s and F$=10$kN$.$Also,take thread friction f$=0\mathrm{.}13$ and collar friction fc$=0\mathrm{.}15$ at dc$=60$ mm$.$

$$What is the input power $($in Watt$)$ needed to raise the load for this operation?