Afriction force of 280 n exists between a cart and the path. if the force of reaction is 766 n, what is the minimum action force needed to set the cart in motion?

force of friction on the cart is given as

here we also know the reaction force due to surface

so we can say reaction force is given as

now by force balance we will say

also we know that

now minimum force required to set this into motion

here we know that

So it will require 259 N minimum force to move it