Question

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 56 N acts on a certain object, the acceleration of the object is 7 m/s2. If the acceleration of the object becomes 6m/s^2 , what is the force?

Answer 1

`48\ N`

Explanation:

`We\ know\ that\ F=ma,\\We\ are\ however\ not\ provided\ with\ the\ mass\ in\ the\ question\\\\So,\\Let\ it\ be\ a\ variable\ m.\\Hence,\\F_1=56 N, a_1=7\ m/s^2,m=m\\F_2=F_2,a_2=6\ m/s^2, m=m\\Hence,\\F_1=ma_1\\Or,\\56=7m\\m=(56)/(7)\\m=8\ kg\\Now,\\As\ m\ is\ a\ scalar\ quantity\ and\ always\ remains\ constant\ throughout\ the\ universe,\\F_2=ma_2\\Hence,\\F_2=8*6\\Hence,\\F_2=48\ N`