When a force F given by F =(6 i -18 j +10 k ) N acts on a body, it imparts an acceleration of 8 ~ms ⁻² . Then, find the mass of the body.

Step-by-step solution

Given that, force vector, F =(6 i -18 j +10 k ) N Magnitude of force, aligned F & =| F |= (6)^2+(-18)^2+(10)^2 & = 460 ~N aligned Acceleration, a=8 ~m / s ^2 By Newton's law of motion, array ll & F=m a & m= F a array By substituting the values, we get Mass of body, m= 460 8 = 115 4 ~kg