The potential energy in joule of a particle of mass 1 kg moving in X-Y plane obeys the law $ϕ = 3 x + 4 y$ . Here x and y are in meters. If the particle is at rest at (6m, 8m) at time t=0 , then the work done by conservative force on the particle from initial position to the instant when it comes to origin

Question

Infinity Learn · Accepted Answer

relation between potential energy and the conservative force is $$F=$$ –dUdrhere $$U=$$ $$3x+4y$$    then    F⇀ $$=-3i^-4j^$$ again displacement is (6$$,$$8) to (0$$,$$0)  then s⇀$$=$$ $$-6i^$$ $$-8j^so$$ work done $$=F$$⇀.s⇀ $$=-3i^$$ $$-4j^$$  .$$-6i^$$ $$-8j^$$ $$=50$$

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